diff --git "a/data/dm_maths/full_data/2328_11255.jsonl" "b/data/dm_maths/full_data/2328_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2328_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 77298527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 4. Let l = -1 - j. Let s be (6\/(-10))\/((-2)\/20). Solve -5*w = -2*w + q - l, -s = w - 3*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241517 is divided by 4459?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 6) in base 13?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235483380.05 + 0.18?\nAnswer: 235483380.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/2 + (-1 - 1). Suppose -10*c - 408 = -478. Sort 5, c, y in increasing order.\nAnswer: y, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502932156.\nAnswer: 2, 3, 293, 313, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*n + 9081 + 7046 = -6973. What is the greatest common factor of n and 1365?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 9*j - 13. Let r(z) = 22*z - 32. Let w(q) = 12*k(q) - 5*r(q). Let y be w(-10). Suppose 5*d - 46 = y. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.1, 1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, m: 1, d: 3, h: 1, v: 2, i: 3}. What is prob of sequence dvnd?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 768 = -5*q. Suppose 13*z - 17*z = -q. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22387 + -22490. What is the biggest value in 5, -0.5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 1200 = 1033. Let m = 358 + y. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 + 206 - 96 - w.\nAnswer: -w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r = 26*r + 3*d + 8, -5*r - 4*d = -41. Solve 2*q + 4*g + 10 = 0, -8*g - 17 = -r*q - 4*g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/46, 0.3, -932?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 3*u + 5 - 7 = 0, 2*r + 3*u + 8 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.949 - 0.051. Let j = 1.02 + o. Is -0.4 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:20 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/3)*f)\/f)\/f)\/f*(f**(-6)\/f)\/f*(f**(1\/4))**40*f**1*f*f**(2\/9)*f*(f**0)**(-38) assuming f is positive.\nAnswer: f**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -95.59.\nAnswer: 191.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -7) + 0 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10633 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 439075 and 9650?\nAnswer: 878150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -324288*b*i*r - 162771*b*i - b + 6*i*r - 21*i + 2*r wrt r.\nAnswer: -324288*b*i + 6*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155 + 18*x - 156 + 309 to i + s*x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -499.2 + 498.7. Sort -2\/11, r, 2\/3, -1 in increasing order.\nAnswer: -1, r, -2\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 40*c**2 - 162*c**2 - 13.\nAnswer: -122*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/2, -220, -567, -4, 5, 7.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d + 15. Suppose d*l = 2*y + y + 22, 5*y = 5*l - 30. Suppose -3*f = l*f - 110. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*j)*(0*j**3 + 0*j**3 + 2*j**3) - 7*j**4 - 39*j**4 + 20*j**4 as t*j + v*j**3 + l + x*j**2 + a*j**4 and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (4 + -3 - (-4 + 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58164896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1778608\/1560 - 1\/30*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**7\/840 + f**6\/120 + f**5\/40 + 2*f**4\/3 + 5*f**2. Let u(j) be the second derivative of g(j). Factor u(z).\nAnswer: 3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21c + -e7c14?\nAnswer: -e79f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1802 + 7242 = -327*f - 3709 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -186, 61, 714, 1971, 4030?\n\"Answer: 33*a**3 + 5*a**2 + a - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 3:14 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**6\/360 + f**4\/6 + 2*f. Let i(z) be the third derivative of d(z). Let h(r) = -2*r. What is -5*h(s) + 6*i(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (1 - 2) - -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edjdjyeejyedede. Give prob of sequence ej.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -1 + sqrt(128))**2 - (((sqrt(72)*2 + sqrt(72))**2 - sqrt(2)) + sqrt(2) + (sqrt(2) - (sqrt(162)*1)**2) + sqrt(2)).\nAnswer: -34*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 33 = -4*a + a, -40 = -4*m + a. Let b = m + -43. Let d = -16 - b. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3640a56 + -14?\nAnswer: -3640a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 733.641398 + -0.1\nAnswer: 733.541398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.998 - -1. Let u = w - 0.002139. What is u rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6*u = -i, 0 = -5*i + 20. Let x(f) = -1. Let n(c) = -c. Let l(g) = n(g) - 3*x(g). Let a be l(0). Solve a*h = -4 + u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -8*y - 6. Suppose -k + 67 = -5*l, k = -3*k + 5*l + 208. Let i = y + k. Is i a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1 + 0 = 0. Which is greater: -1\/4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n = 69. Let i = n - 19. Solve -3*o + i = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49.2 - 3.2. Let j = r - 48. Sort j, -0.4, -2\/7 in descending order.\nAnswer: -2\/7, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 8, -1 in descending order.\nAnswer: 8, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253896 and 38940852?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5489 - 378728\/69. Is 1 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:05 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*o - 34435, -173*o - 34480 = -5*u - 168*o. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1618*w - 297728. Give l(184).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 722 divide 982362586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87573503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 23 - 42 + 3*h**2 + 24 + h**3 + 3*h**3. Let l(u) = -13*u**3 - 10*u**2 - 16. Calculate -2*l(c) - 7*t(c).\nAnswer: -2*c**3 - c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -282 (c) -4 (d) 376\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 0*x - 7*x - x**2 - 5*x - 8 + x. Let t be b(-10). Solve -6 + 0 = -t*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492\/24 - 1\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**3\/3 + 32*t**2\/3 - 68*t\/3 + 40\/3 = 0. Calculate t.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 6*u + 2. Let b be v(-6). Suppose -3*m = -p - 31, -p - 39 = -b*m - 4*p. Let k = 21 - m. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4638991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w - 2 - 1 + 1 + 3*w + w**3 as v*w + u*w**2 + t*w**3 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*d**3 - 4*d**3 - 42*d**3.\nAnswer: -126*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 120, -4 in ascending order.\nAnswer: -4, -2\/17, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4386, 4388, 4390, 4392?\n\"Answer: 2*h + 4384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 313?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (263 - (-3 - 0))\/(-2 - -1). Let b = 282 + s. Let t = 218 + -154. What is the greatest common divisor of t and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 561677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 21*o**2 - 17*o - 58. Let n be i(20). Let k be (48 - 3)*(-4)\/6. Calculate the remainder when ((-6)\/k*-32)\/(n\/(-20)) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 479086800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**4\/24 + 3*u**2 - 4. Suppose 4 = 4*y - 4. Suppose 2 = -l - y. Give w(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 2*z - 15*z - 4*z)*((-4*z + 4*z + 2*z)*(1 + 2 - 1) + 6*z - 2*z - 2*z - 3*z + 3*z - 2*z + (-2 + 2 + 6*z)*(0 + 2 - 3)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 115*g - 347. Let c be o(3). What is the closest to -3 in -1, 1\/8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*d + 5, 5*p + 3*d - 12 = 8*p. Let z(j) = -j**2 - 7*j + 3. Let t be z(p). Let f(s) = s + 1 - 5*s + t - s**2 + 2*s. Give f(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**4\/3 - n**3\/6 + 8*n**2. What is r(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3313420 (base 7) to base 10.\nAnswer: -407008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j - f - 3, 5*j - 2 = -2*f. Suppose j = 3*l - 468 - 60. Suppose l = 5*q - 19. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16964237*p**4 - 4322118.\nAnswer: -67856948*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -926, -924, -922, -920, -918, -916?\n\"Answer: 2*m - 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12001 (base 10) to base 9.\nAnswer: 17414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 3\/574 in decreasing order.\nAnswer: 4, 3\/574, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*w = 0, 4*w + 8 + 20 = 5*n. Suppose -3*f + 11 = 2. Let 2*k - k**3 - n + 0*k**f + 2*k**3 + 4*k**2 - 3*k**3 = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -1\/6 (c) -1\/3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08754 and 8.125?\nAnswer: -0.7112625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/16 and 24\/20*(-930)\/(-528).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37710561 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/2 + 2573*a**2\/2 - 56969*a\/2 + 313995\/2 = 0. What is a?\nAnswer: -2595, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9e57 (base 15) in base 4?\nAnswer: -20031013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30001267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or 31302?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(-1 + 1 - 1) - 1 + 2 - 3 - 12 + 37 - 6)*(-5 + 11*l + 6 + 0*l**2 + l**2) + l**2 - 4*l**2 + 4*l**2.\nAnswer: 19*l**2 + 198*l + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 562\/5653725 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-9)*(-9)\/(-2). Let o(g) = 0*g + g - 2 - g**m + 8*g**2 - 3 - 1. Let w be o(8). Solve 0*v = -w*v - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, 8, -97 in increasing order.\nAnswer: -97, -82, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 121289 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*r - 5, -r + 5*b + 7893 = 7892 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*((-18)\/8)\/(-9)*-2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(8\/7))**39\/(((n**(-3)*n)\/n)\/n)**16 assuming n is positive.\nAnswer: n**(760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 31*s + 14. Let l(d) = -6*d - 3. Let f(a) = 22*l(a) + 4*y(a). Let u be f(8). Does 21 divide -1*1*(u + 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 4*d**6\/15 - 11*d**3\/6 - 3*d - 13. Let j(g) be the first derivative of y(g). What is the second derivative of j(i) wrt i?\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9496.179 millennia in decades?\nAnswer: 949617.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.76763 * -0.047.\nAnswer: -0.03607861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 372145 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: Convert -2232221303 (base 4) to base 9.\nAnswer: -1310275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 128 - 10)*(-f**2 - f**2 - f**2)*(-f**2 + 3*f**2 - f**2).\nAnswer: -513*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 + 2) - (37 - 44)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -347878863911.3 from 0.3.\nAnswer: 347878863911.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 52*-1667673\nAnswer: -86718996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 16*p - 34. Let s be 1 - (3 - (4 + -2)). Let v be s - (1 + -3 + -8). Let j be r(v). Solve -5*l - 2*b = b + j, 5*l = -b - 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -472.801 - -473. Let i = 0.20329 - u. Round i to four dps.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 20*f + 3. What is the units digit of j(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4514 + -5?\nAnswer: 4505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 71240 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/2, -2\/9, 2\/13, -2\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 183, 191, 207, 231, 263, 303, 351?\n\"Answer: 4*q**2 - 4*q + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 199878 and 101402?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -30*((-32)\/(-20) + -2). What is the third derivative of a**4 + 7*a**4 - a**4 - 3*a**4 - c*a**2 wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 4*t - 4. Give n(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/168 and -7\/9678?\nAnswer: 270984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1102*c + 423*c = -597*c - 355*c + 7431 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*s + 346009 = s, -259503 = -3*q + s. What is q rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -49. Let r = -39.7 - t. Let o = r + 0.3. Put o, 1, 1\/3 in descending order.\nAnswer: 1, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12067, -12071, -12085, -12115, -12167, -12247, -12361?\nAnswer: -12515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 2.512.\nAnswer: -0.2512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77869, 155619, 233369, 311119?\nAnswer: 388869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 3:57 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*h = 5*h + 25, h + 5 = -5*c. Let x(j) = 2*j + 40. Let l be x(c). Calculate the greatest common divisor of 100 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12984332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.415 * -46895\nAnswer: -19461.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/13)*z)\/(z*z**(-1\/12)) assuming z is positive.\nAnswer: z**(-23\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15936518713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqww when four letters picked without replacement from qwwwqw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/13 (b) -4 (c) -0.094\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 14) in base 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70 and -0.1831731.\nAnswer: 12.822117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 8:00 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/2, -2\/7, 0.07, 30, 28, -72?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 3 - (1 + 2) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 24*h**2 + 43*h + 29. Let m be (-42)\/126 - (-67)\/3. Let a be x(m). Let o(f) = -17*f + 9. Let t(b) = -9*b + 5. What is a*t(y) - 4*o(y)?\nAnswer: 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -12211?\nAnswer: 12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 - 198\/(-30). Let t = 61 - -39. Suppose 0 = -6*x + 26*x - t. Solve -x*f = -20, -h - 12 = -n - 4*f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 1416666.09.\nAnswer: 1416665.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 28*j**2 + 2*j + 68. Determine i(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 481461 and -167.\nAnswer: -80403987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*n - 16380 = -40*n. Let k be 32\/18 + 7\/(n\/(-26)). Solve -4\/7*w**k - 8\/7*w + 0 + 12\/7*w**3 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2038 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*j**4 + 418263*j**3*u**2 + 4*j**2 + 629596061*j*u**2 wrt j.\nAnswer: 852*j**2 + 2509578*j*u**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d + 32*d - 25 = 0. Let s be 7 - (-3 - (1 - 1) - d). Suppose -4*l + 2*x = 5*x - 27, -5*l + 25 = -s*x. Solve -4*a + 8 = -l*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 3*s + 85, -5*c - 2*s - 2*s + 145 = 0. Suppose -c = -8*a + 3*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354018928 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668607 is divided by 2907?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 280*l**3 + 20*l**2 + 20*l. Let k(h) = 40*h**3 + 3*h**2 + 3*h. Give 40*k(f) - 6*z(f).\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 20. Let l(s) = -4*s**2 - 4*s + 13. Let y be l(v). Let j = y + 139. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 1:15 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.063 + -25.937. Let h = 26.12 + q. What is the biggest value in 2, h, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-1 - 3) - (-164 - -139)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1488 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 143\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s + 687 - 1038 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*g + 158*g + 442372000 = 0. What is g rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1139 - (-9)\/((-72)\/40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*o - 59*o - 44*o + 7*o.\nAnswer: -170*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -259421175?\nAnswer: 5188423.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53191*z + 816 = -53242*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiikximxxidaimkdmkxm. What is prob of picking 1 x and 2 k?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-30))\/((-8)\/(-20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/27, 274, 11\/3 in ascending order.\nAnswer: 2\/27, 3, 11\/3, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563573.\nAnswer: 3, 11, 47381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2351246796?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -2 - 45)*8\/(-16). Let y be 52\/44 + (-4)\/h. Is y greater than 8\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 35. Let o = p + -15. Solve -o*w = w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20469 + -716314\/35. Let k = -23\/7 + r. Let v = 4 - 1. Which is the nearest to 1? (a) v (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7450 divided by 5\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69)\/230)\/((-7)\/(105\/54))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 3*d)*(-d + d + 3*d)*(-6 + 2 + 0 + (2 - 3 + 3)*(-3 + 6 - 1) - 1 - 1 + 1) + (-7 + 7*d + 7)*(4 + d - 4) - 3*d + 3*d - 2*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -5*n**6\/6 + 11*n**5 - 45*n**4\/2 - 10*n**3\/3 + 95*n**2\/2 - 45*n - 147. Let m(u) = 0. What is u?\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 20541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 + 273908*r**2\/3 + 3125975048*r - 6252315312.\nAnswer: 2*(r - 2)*(r + 68478)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17164092083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 11*f**2 + 8*f - 21. Let d be v(11). Let q = d + -70. Let y(l) = -9*l - 26. Let g be y(q). What is the closest to g in 2\/3, 4, -3\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 less than 1290306?\nAnswer: 1290281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -284 - -886. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22168.\nAnswer: 2, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a*y*z - 5280*a*z**3 - 3*a - 70274*y*z**3 + y wrt a?\nAnswer: -2*y*z - 5280*z**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1072 and 5360.\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1529, 2610, 0.39, 1 in descending order.\nAnswer: 2610, 1, 0.39, 2\/1529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjh when three letters picked without replacement from {j: 6, h: 6, e: 1, y: 7}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*s + 104102 - 106374 = 40*s for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462 and 1353.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.64*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 8*a = 3*w - 6 + 31, 0 = 35*w - 3*a - 190 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 972*x - 977*x - 5 - 9 + 1 + 15 - 2596*x**2.\nAnswer: -2596*x**2 - 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 1b4?\nAnswer: 1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**4 - 44*r**3\/3 - 48*r**2 + 144*r - 94. Factor y(p).\nAnswer: -4*(p - 1)*(p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 13*s + 6. Let q be a(13). Solve 9*g = 6*g - q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/24 and 7\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*i - r - 1 = -73*i, 0 = -5*r + 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/7 != -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/7)*q)\/q**(-1))\/(q**10\/q**(-4\/9)) assuming q is positive.\nAnswer: q**(-523\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.56 * -0.1\nAnswer: 0.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2 = -5*f, 1070*l = 1075*l + f + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.5, -21.8, 120, 4, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*g - 38677 - 9338 = 607*g for g.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 795, 3645, 10599, 23709, 45027, 76605, 120495?\nAnswer: 178749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*q - 8*h + 46, 3*h = 6. Suppose 7*w = q*w + 2*v - 868, 0 = w - 3*v - 422. What are the prime factors of w?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19065*w**2 - 33834*w - 634994324?\nAnswer: -38130*w - 33834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 6*d**2 - 3*d + 7. Let p be s(-6). Let w = p + -24. What is the units digit of 39 + ((-4)\/(-4))\/w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4409\/4 - 1095. Calculate the common denominator of 17\/7 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 873.8019 meters to micrometers.\nAnswer: 873801900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66684 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3563642543 to the nearest integer?\nAnswer: 59696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -14. Is (f - 2\/(-2)) + 78 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.15989 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -14, 4, 9, 5 in descending order.\nAnswer: 23, 9, 5, 4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -1348 + 1334 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.4369 to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 44.7. Let a(i) = -i**3 + 6*i**2 + i - 5. Let m be a(6). Let w be (6\/9)\/(8\/60). What is the smallest value in m, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 26*f - 5*f - 76. Let j(o) be the third derivative of -1\/2*o**3 - 28*o**2 + 0*o + 1\/24*o**4 + f. Give j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 32*p**2 + 140*p - 2. Let n be l(-5). What is the closest to -1\/3 in 2\/13, -3, n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.087.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6350 and 307975?\nAnswer: 615950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1699350, -1699394, -1699474, -1699596, -1699766?\n\"Answer: -b**3 - 12*b**2 - b - 1699336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63070 - -153108. Suppose -z - 180040 = -4*v, 4*v - 6*v = -5*z - a. Suppose -17991 = 2*d - 3*s, 6*d - d + v = -3*s. Round d to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)\/(i\/(i*i\/(i*i**(-1\/4))*i*i)))\/(i**1\/i)**(-6)*(i**0)**(-2\/7)\/(i\/(i\/(i**(1\/2)*i)))**(6\/7) assuming i is positive.\nAnswer: i**(25\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 7:02 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(342)\/sqrt(6) - sqrt(57))*-2*-3)\/(-5*sqrt(147)*-3 + sqrt(147) - sqrt(147)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113*m + 51*m - 29*m)*((0 + 1 - 2)*(-3*m + 0*m + 2*m) - 17*m + 31*m + 16*m) - 2*m - m**2 + 2*m**2 - 2*m**2.\nAnswer: 4184*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 44728*t - 24. Let p(b) = 7*b. Determine k(p(f)).\nAnswer: 313096*f - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**3 - 139*h**2 - 9*h - 522. Let w be q(28). Solve -w*v - 14 = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4 + 22*u**3 + 28*u**2 - 768*u + 1728 = 0. What is u?\nAnswer: -6, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -42 in decreasing order.\nAnswer: 4, 2, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = -4*w, 3*w + 2 = 2*b + 6. Suppose 0 = w*m - 3*k + 9, 0*m + 11 = 2*m + k. What is the derivative of -m + 12*j**4 + 3*j**4 - 4*j**4 wrt j?\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/10)\/(2\/180)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80775 times -0.2?\nAnswer: 16155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 7. Suppose 5*p + b*u - 13 = 4, u - 4 = -p. List the prime factors of 10 + -2 + p + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 16. What is the remainder when 75 is divided by s(-22)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14274 is divided by 7127.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159202609 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c + 83 = r, 5*c - 3*r = 71. Suppose 14*q = c*q - 8. What is the second biggest value in q, 1, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -462 or -461?\nAnswer: -461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 6*x = -3. Let l(m) = x + 4*m - 3*m - 2 - 2*m. Let o(v) = -3*v**2 - 18*v + 18. Give 18*l(i) - o(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 + 30603*w - 30603*w.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(833) + -1)**2 + -4.\nAnswer: -28*sqrt(17) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 577, 1193, 2045, 3127?\nAnswer: 4433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -96*u - 2. Let t(y) = y + 1. Give a(k) + t(k).\nAnswer: -95*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*i - 129, -3*d = -5*i - 90 - 14. What is the remainder when d is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6*(-182)\/84 - -45781.\nAnswer: 2, 7, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*a**3 + 15841*a**2 - 377326?\nAnswer: -15*a**2 + 31682*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -126421441, -126421443, -126421445, -126421447, -126421449?\n\"Answer: -2*w - 126421439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -5*h**2\/2 + 5*h - 18. Let f(x) = x - 1. Let n be (-1 - 0) + -2 - -1. What is n*m(p) - 9*f(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 94*w = -72*w + 534 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1 - 15 + 12*j**2 - 33*j**3 - 29*j + 18*j**3 + 14*j**3. Let b(f) = 6*f - 12. Calculate the remainder when b(5) is divided by c(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2 + 14. Let l(o) be the second derivative of o - 1\/2*o**2 + 1\/6*o**d + 0. Calculate l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-4) - (-9)\/12. Suppose o = 3*c - 3*z - 24, 3*z = -2*c - z + 16. What is the highest common factor of c and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 537. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 59*g - 2 = -63*g, -4*f + 20 = g for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(40) + (-4*sqrt(640) - sqrt(640)))*1)\/(-5*(sqrt(64)*-5)\/sqrt(8)))**2 + -3.\nAnswer: 708\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 7, -3, -2621852?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44.4 + 44. Which is the nearest to 2? (a) 1\/4 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39696.\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r. Let k(b) = 2*b + 17. What is -k(t) - 3*q(t)?\nAnswer: t - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*o)*(9*o**2 - 5*o**2 - 8*o**2)*(233 + 135 - 70).\nAnswer: -4768*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5547 and 645?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 28. Suppose -2*z + 0*z + 258 = p*v, 0 = 3*v - 5*z - 161. What is the remainder when v is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 24960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**6\/720 + u**4\/12 - u**2. Let r(j) be the second derivative of a(j). Let i(g) = -3*g**2. Determine i(r(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + h = -2*h + 3, -4*o = -3*h. Let v(b) = 2*b**2 + b + 2. Let k be v(-2). Suppose -k = 2*a - 24. Solve -5*g - 8 = -0*g + i, -g - a = -o*i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 15 = 8*d. Suppose 72 = -t - d*t. Let i = -2 - t. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/6 + 79399*i\/2 - 238195\/3 = 0.\nAnswer: 2, 238195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130988760 and 12936?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times 29?\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 10 + 24 = 5*h, -2*h + 2*y = -8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/2)\/(77\/(4620\/75)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 61*k**2 + 22*k**2 + 5*k.\nAnswer: 83*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 54 = 21*j + 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -66890 (b) -355 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 10:55 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -15 + (-17 - (-72 - -61)) - -79.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -16027?\nAnswer: -16027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 11:54 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402 by -114.\nAnswer: 67\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26623 is divided by 5324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-171)\/57)\/(4\/2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 7\/56 - -3 - -1. Factor -i + 1\/4*l**3 + 11\/8*l**2 + 3\/2*l.\nAnswer: (l + 3)**2*(2*l - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {c: 1, w: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 15\/(-10))\/(189\/84)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53877 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 = 2*q. Let n be q\/20 - (-11)\/4. Determine l, given that -2*l + l - 4*l**3 + 2*l**2 + 3*l**n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 - -91. Suppose -c*o + 4197 = 183. What are the prime factors of o?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (79 + (-11 - 14)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38352*o - 38369*o - 374 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 + 113 + 6*x**2 - 5*x**2 + x**2.\nAnswer: 2*x**2 + 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 27. Let a be 450\/m - 2\/14. Let l(b) = 58*b - 2. Let z be l(5). What is the highest common factor of a and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654420720 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -284, -295, -306?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(99\/(-963)) + -11 + 1.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - y + 12 = 0, 1107 = -5*y + 1117 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.15 - -0.15. Let l = w + 3. What is the nearest to 3\/4 in l, -3, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 174483 + -110395. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-12) - (-13)\/((-234)\/(-30))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*y + 116, 5*y - 5*r = 2*y + 81. Let m(d) = 3*d**2 + 1. What is the lowest common multiple of m(-1) and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173.6 - -20.4. Let s = t + -193.9841. What is s rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (3 + (10 - 13) + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaezziqzigzi. What is prob of sequence qg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 m when four letters picked without replacement from {m: 3, b: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 74\/(-10) + 8\/20. Let l = 10 + f. Suppose 115 = 5*i - l*h, 3*h + 42 = 2*i + h. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*u - 453 = -53 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3003, 11366, 25301, 44814, 69911, 100598, 136881, 178766?\nAnswer: 226259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31.3, -290425, -5 in increasing order.\nAnswer: -290425, -31.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 5:36 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 - -19. Let b be (12\/(-20))\/(x\/30). Let u = -18 - -11. Do b and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 2*y + y + 5*m, -74 = -3*y + 2*m. Calculate the highest common factor of y and 1988.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -235 + 245. Solve -1 = j, 3*k = -3*j + 2*j - p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 18*i**2 - 10*i + 89. What is the least common multiple of 104 and o(17)?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 12 - 6. Let m(w) = 2*w**3 - w**2 - 3*w + 2. What is the remainder when m(2) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187555238 and 2487470?\nAnswer: 937776190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*p + 593 + 9 = -124 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278408?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-1 + 3)) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14547, 15703, 17621, 20301, 23743, 27947?\nAnswer: 32913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**4)\/(z**1*z)*((z\/z**9)\/z)\/(z*(z**(-1\/3)*z)\/z*z) assuming z is positive.\nAnswer: z**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-198)\/(-30) - (27\/15)\/3. Does 13 divide (-1)\/o - 51889\/(-114)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2560146 to 3 decimal places.\nAnswer: 2.256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*g - 338 = -3075 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -7 + 13*p + 70*p**2 + 22 - 6 - 4. Let m be o(5). Suppose -r - 9090 + m = 0. What is r rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*m + 3, 3*m + a + 7 = 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/9*(-7 + 1). Suppose j = -x + 6*x. Let k(g) = 1 - 3 - g - x. What is k(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence biit when four letters picked without replacement from {i: 2, t: 3, b: 5, a: 2}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13.712 times -3433\nAnswer: 47073.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-2 - 24\/(-10)). Is (-3)\/(-15) - 274\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3791 + 3784. Let a(g) = -g**2 - 17*g - 72. Determine a(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-68 - (10 - 19) - 3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/9 (b) 0.3 (c) -2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, 365, 1403, 3417, 6731, 11669, 18555, 27713?\n\"Answer: 54*g**3 + 2*g**2 + 2*g - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**(17\/2)*s)\/s*s*(s\/(s\/(s*s*s**(-12))))\/s)\/((s\/(s**(-27)*s))\/s*s*(s*s*s*(s\/((s*s**(-10)\/s*s*s)\/s)*s*s)\/s)\/s) assuming s is positive.\nAnswer: s**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*(sqrt(180) - 3*sqrt(180))*5)**2 - (2*(sqrt(180) + -1) + (sqrt(180) + -2 + sqrt(180) + 2)**2 + -3).\nAnswer: -12*sqrt(5) + 647285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g**2 - 3*g. Let f(d) = -d. Let x(a) = 3*f(a) - v(a). Let j(b) = -8*b. Give j(x(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5efa - 2e?\nAnswer: 5ecc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = n. Let p be 2\/6*(n + 3). Let f(h) = -h**2 - 26*h + 275. Let x be f(-34). Solve -x = -p*u + 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**4\/12 - 7*l**3\/6 + 3*l**2 - 4*l. Calculate x(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 6*a**2 - 6*a + 9. Determine m(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + t + 3 + 5, -t - 2 = 0. Suppose 0 = k - a, 5*u + 3*k - 1513 = 4*k. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 13 + 3 = -14, 4*q + 2*l = -0*q - 6 - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401.7686l to millilitres.\nAnswer: 401768.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 9*h + 2. Let x be r(9). Solve -2*q + x = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) - 22\/(-28). Suppose 183*r + 200 + 166 = 0. Which is the nearest to 2\/11? (a) w (b) r (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -8 - -5 - (-75 - 2).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 * 7.7.\nAnswer: -192.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.16 - 0.16. Let m be (-3)\/1*(511\/(-168) - -3). What is the nearest to q in m, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 10. Let n be i(12). Suppose -2*d + 100 = -5*g, -5*d - n*g - 3*g + 180 = 0. What is the smallest common multiple of (6\/(-7))\/((-9)\/84) and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1603532397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -195063386.35076 + 2?\nAnswer: -195063384.35076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 341759.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 11*i + 5. Let v be r(-7). Let q = -45 - v. Let p be (2 - q\/(-5))*165\/6. What is the greatest common divisor of 55 and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/9)\/(l*l*(l*(l*l**(-1\/5)\/l)\/l)\/l)*((l**1*l)\/l)**30 assuming l is positive.\nAnswer: l**(1304\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 42. Let y be c + ((-320)\/15)\/(-4). Factor -y*s**2 + 0 - s**3 - 1\/3*s.\nAnswer: -s*(s + 1)*(3*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**5\/60 + c**4\/6 + 5*c**3\/6 + 2*c**2. List the prime factors of j(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + 4*h**2)*((0 - 4 + 1)*(4 - 3 + 1) - 3 + 3 - 1).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 e when three letters picked without replacement from ewswwnwnehnwqssee?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22567798 and 16?\nAnswer: 180542384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 2*t - 1. Let g be k(-2). Let z = -0.07325 - -0.47325. Sort z, g, 0.07 in ascending order.\nAnswer: g, 0.07, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 1 + 16*q + 2 - 12*q to the form g*q + c and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4710647 to the nearest integer?\nAnswer: 2170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 + -124.2. Sort -1, a, -3.\nAnswer: -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1297*c + 1 + 1 - 3898*c.\nAnswer: -2601*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 63*z - 115. Let u be n(2). Solve -u*q + 16*q = 45 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = 4*t + 18, -2*f + 5*t + 9 = 0. Let c be (-1)\/(-2 + f*(-15)\/27). Solve -a - 3*j + 9 = 0, 1 = a - c*j + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 0. Suppose h*o - o - 12 = 0. Suppose -o*r + 3*g = -45, -3*r = 4*g - 55 - 4. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 0.5, -0.2, -3\/7, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.111101231 + 0.1111. Round b to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 c when four letters picked without replacement from {c: 2, g: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.021, -16.44 in descending order.\nAnswer: 0.021, -0.3, -16.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1867416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 668172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/17 - 31310*r**2\/17 + 2388224*r\/17 - 45431128\/17.\nAnswer: -2*(r - 38)**2*(r + 15731)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21330 + 37590. What are the prime factors of l?\nAnswer: 2, 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077 + -1 - (-4 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-1*sqrt(77))\/sqrt(11) + sqrt(7)))**2 + ((sqrt(560) - sqrt(35))*2 + sqrt(35))\/sqrt(5) + 3*(5 + 1*sqrt(252)) + 2.\nAnswer: 17 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 4. Suppose 9*a = -19 + 181. Suppose -2*p = -a*p - 64. Determine g(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -302.035?\nAnswer: 6644.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 + 3*q**2 + 8*q + 1. Let t be k(-2). Suppose -4*a = 2*i + 18, a = 6*a + i + 27. What is the tens digit of 561\/t + a\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2331956?\nAnswer: 2, 11, 52999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17842945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15724839.99971 + 15724906. Let d = w + -66. What is d rounded to 5 decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212689252 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -244, -1868, -6284, -14890, -29084, -50264, -79828?\n\"Answer: -233*u**3 + 2*u**2 + u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3647614?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-2)*k)**(-3\/23)\/(k\/((k**(2\/17)\/k)\/k*k)*k**(-8)) assuming k is positive.\nAnswer: k**(2341\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l + 4*l - 42*l in the form d*l + a and give d.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.031 times 6.44\nAnswer: -0.19964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -19\/42*t**7 - 30*t**3 - 1\/12*t**4 + 2\/15*t**6 + 123*t + 0 + 0*t**5 + 0*t**2. Find the third derivative of d(h) wrt h.\nAnswer: -1140*h**2 + 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -325376 divided by 5084\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23162 is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(16))\/(sqrt(96)\/sqrt(128)) + 2*(-2 + ((-1 + sqrt(162))**2 - sqrt(162))).\nAnswer: -52*sqrt(2) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/324*27*(-7)\/42.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1638523 is divided by 409608.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38770 or -38766?\nAnswer: -38766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6643, 26941, 60773, 108145, 169063, 243533, 331561, 433153?\nAnswer: 548315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2405 and 45.\nAnswer: 21645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5142, 10246, 15312, 20340, 25330?\nAnswer: 30282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 w, and 1 g when three letters picked without replacement from wffgwlff?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1308.\nAnswer: 5\/1308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {k: 6, e: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-60)*56 - 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:56 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z = 204 + 4. What is the greatest common factor of 52 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c + 930 = 384. Solve 10*f = c + 37 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r - 67. Let q be m(13). Let s be (5 - 3)*q\/(-8)*2. Is (1 + -1)\/s - -60 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 151352658155255.\nAnswer: 151352658155254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Let j = 7 - 4. Let v(t) = t**2 + 17*t + 9. Let x be v(-17). Solve -h + 2*a = 4*a - x, k*a - 23 = j*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + l + 0 + (1 - 5 + 3)*(l + 0*l - 3*l) + (2 + 5 + 4)*(-1 + 1 - 2*l) + 0*l + l + 0*l + (-2 - 2 + 2)*(2*l - 4*l - l) as o*l + y and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3302 - -0.330385363. What is i rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 156 = -5*o, 3*l = -o - 143 + 26. What is the units digit of 1\/4 - l\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7*o - 24 = 0. Suppose 0 = -q - m + 9, -o*q - 3*m = -6*q + 3. Solve -23 = 5*j + 2*h, -h + 2 = q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 15*x - 46. Calculate the remainder when 17 is divided by c(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 25*u**2 - u + 18. Let s be l(-25). Let d = s - 40. Suppose 0 = -o + 2*o + 4, -5*t + 3053 = d*o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 3*l**4\/8 + 43*l**3\/3 + 2321*l**2. Calculate t(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 856 = -3*f. Suppose w - 4 = 0, s - 4*w = -7*w + f. Let i = s - 93. Which is the nearest to 1.5? (a) -5\/4 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (3\/(-6))\/(2\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 260b (base 15) in base 13?\nAnswer: 38cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 8*k + 8. Let t be l(7). Let j = t - 11. Suppose -j*r + 10 = r. Solve -4*q - 7 = 5*y, -2*q - 10 = 2*q + r*y for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1011436*s**2 + 2021839*s**2 - 1011060*s**2.\nAnswer: -657*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-2\/7)))\/(r*r*(r*r\/r**(-1\/2))\/r*r*r)*r**(-2\/7)\/(r**3*r) assuming r is positive.\nAnswer: r**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u\/u**(-4\/13))**10\/(((u**(-1\/2)*u*u)\/u)**(1\/34))**1 assuming u is positive.\nAnswer: u**(2707\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 24 = f, 2*v - f - 9 = 7. Suppose -2*w = -h - v - 1, 2*w = 3*h + 11. Let d = -0.9 - -0.5. Sort d, 0, w.\nAnswer: d, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + -100 + -24 + 24?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 + 3502\/5 + (-54)\/(-90)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 (base 12) in base 7?\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 + 1. Let k be ((-2)\/5)\/((-1)\/(-5)). Let n = 3 + k. What is the units digit of t(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 958 - 660. What is the second smallest value in p, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.878 - 22.122. Put -0.4, o, -0.01, -0.1 in increasing order.\nAnswer: o, -0.4, -0.1, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*y + 11701*b*k*y + 105*k*y + 3*k + 33*y wrt b.\nAnswer: 4*b*y + 11701*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 4 - (7 + -7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-1)*(464\/32 + -14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/713 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1304 times 2.1\nAnswer: -2738.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*w - 551 = -0*w, -3 = w. Let a = n - 488. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 62 + 159*d - 19 - 7 - 17 to t*d + j and give t.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddrdrddrddrdrrrdrddv. What is prob of picking 1 v and 2 r?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 622*k**2 + 14062*k - 6559. Give b(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2251, 4471, 6681, 8881, 11071, 13251?\n\"Answer: -5*k**2 + 2235*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1977, -4259, -6547, -8841, -11141?\nAnswer: -13447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5617261737?\nAnswer: 3, 17, 12238043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.057469.\nAnswer: 0.0057469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = k - 12, -400784*k = c - 400786*k + 21 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/3 + 25*y**3\/3 + 245*y**2\/3 + 205*y + 132 = 0. Calculate y.\nAnswer: -4, -3, -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 5*r**3\/6 + 3*r**2\/2 + r. Suppose 13 = -3*n + 4. Calculate i(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 1\/5 (c) -4 (d) 0.019 (e) 27231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 4*u + 47. Give c(-10).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27113.\nAnswer: 19, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**4\/2 - 82221*f**3\/2 - 3*f**2\/2 + 246665*f\/2 - 82221 = 0.\nAnswer: -2, 1, 82221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -37. Let s be 6\/2 - (-3 - y). Suppose 5*m - m + 8 = -s*z, m = -2. Solve -3*j + 11 = r + 3*r, 2*r - 3*j + 17 = z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 + 6 + -1) - (9 - 23 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-10*(510\/(-50) - -10)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 119.\nAnswer: -9\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**6\/20 - 5*w**3\/6 - 2*w**2 + 2*w. Let q(n) be the first derivative of v(n). Differentiate q(z) with respect to z.\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61.67994 decades?\nAnswer: 616.7994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14026.0006777 - 14026. Round s to 5 decimal places.\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1314329.22429 - 0.04.\nAnswer: -1314329.26429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -41*g + 19. Let k(a) be the first derivative of -10*a**2 + 10*a + 3. Let d(v) = -5*k(v) + 3*m(v). Is d(-3) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*u + 47. Suppose -9*p + 52 = -p + 4. Sort p, u, 1 in descending order.\nAnswer: p, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 1. Suppose 0 = 2*w - w - 18. Let z = -17 + w. Calculate the smallest common multiple of z and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 - -52. Let j(g) = 804*g**3 - 2*g**2 + 11*g - 3. Let f be j(v). What is f rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/167, 2, 0.3, 0, 36296.\nAnswer: -2\/167, 0, 0.3, 2, 36296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4733680753 to the nearest integer?\nAnswer: 68802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/90788 and -5\/1572.\nAnswer: 35679684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 9:26 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (326*u + 8*u**2 - 398*u - 35*u**2)*(-18 + 18 + 14*u) + (-2*u - 2 + 2)*(-5*u**2 + 3*u**2 + u**2) + u**3 - 4*u**3 + 4*u**3.\nAnswer: -375*u**3 - 1008*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3381*q - 2*q**2 - 989*q - 2409*q.\nAnswer: -2*q**2 - 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30776 and 1072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u - 4*u + 4*u)*(-31 + 33*u + 31)*(2 + 0 + 0).\nAnswer: -330*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145 - -145. Let v be 3\/45*-3*(-2 + u). Suppose -4 = 2*s - 4*s. Which is smaller: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 2*u - 9, 0 = 6*s - s + 3*u + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**4 + 3*w**3 + 3*w - 7. Let h(t) = t - 2 - 3*t**4 - 4 + 3*t**3 + t - t**3. Let c(m) = -3*h(m) + 2*p(m). Find the first derivative of c(j) wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert dc55b (base 14) to base 9.\nAnswer: 1002613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 10 - 17)*(-1 - 2 - 2)*(0*v**4 - v**4 + 3*v**4 + (2*v**3 + 3*v**3 + v**3)*(-3*v + v + 0*v)).\nAnswer: 300*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 73 + 108 - 308 - 51*a. What are the prime factors of g(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*z = 8, -3*u + 4*z = -z - 37. Sort -27, 2, u.\nAnswer: -27, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0292 * 25\nAnswer: -0.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 97*s - 38)*(10*s**2 + 3*s - 5*s + 5*s).\nAnswer: 970*s**3 + 291*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.032 + 14.452. Let f = -1509.116 + 1509. Let g = f - k. Round g to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 9:44 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6237 and 80829.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3\/3 + 11962*z**2\/3 + 22992448*z\/3 + 14357785088\/3 = 0.\nAnswer: -2749, -1616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/58? (a) -0.01 (b) 1 (c) 189 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -245*x**2 + 9312*x - 57. Give j(38).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-15)*35\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 826457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92370 + 92366. Let d = -47697\/5 - -9577. Let f = 38 - d. Which is the third smallest value? (a) 0.1 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*g - 9 + 9 + 4*g + g - 3*g + (-2 + 4 + 0)*(-g + g + 2*g) + 2*g + 0*g + 0*g as y + r*g and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -70. Let b = -21 + x. Which is smaller: 3\/11 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 9:36 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = s + 17, -28333*s + 3*r + 39 = -28338*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 - 9*a - 2. Let u be p(-4). Let y(x) = x**2 - 3*x + 2. Let o be y(u). Let v(k) = 2*k - k + o*k. Let j(z) = -2*z**2. Calculate j(v(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 3 - 5*s**3 + 2*s + 6 - 2 to b*s**2 + u*s**3 + m*s + o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/18*9\/(-73). Let a = -238\/657 + i. What is the nearest to 0.6 in a, -0.3, 2\/3, -15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 417, 400 in descending order.\nAnswer: 417, 400, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.38 - -1.02. Let a = d + -9.40000087. What is a rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2232 and 12\/(-7)*((-1953)\/2)\/9?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and -332.\nAnswer: 16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Find the second derivative of -4*f**4 + w*f + f + 0*f + f wrt f.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46974 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 44346019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.082612778227 - -2.6.\nAnswer: 2.517387221773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 379270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(30\/283) - -4. Let o = 51 - t. Which is the second biggest value? (a) -0.2 (b) o (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2\/2 - 933*f\/2 + 11484 = 0.\nAnswer: -957, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzoporv. Give prob of picking 1 r, 1 o, 1 p, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -8. Suppose 2*s - 66 + 22 = -h*v, -32 = -3*v - 4*s. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**2*q**2*z**2 + 980740*m**2*q*z**3 + 175*m*q**2*z**3 + 102*m*q**2 - 2*m*q - 6*m*z**3 wrt m?\nAnswer: 4*q**2*z**2 + 1961480*q*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 + -10 - (1 - 23))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 3*c + 6. Let p(h) = 2*h**2 - 7*h - 13. Let s(q) = -5*j(q) - 2*p(q). Is 14 a factor of s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(720)) + 1*5*sqrt(720) + 5 + ((sqrt(720) + sqrt(720) + -2)*-4 - (sqrt(720) - (2*sqrt(720) + 4 + sqrt(720)))))**2.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.5199 centimeters in meters?\nAnswer: 3.975199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -5 (b) -743 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/486813?\nAnswer: -2\/486813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 43. Let k(a) be the third derivative of a**5\/20 + 7*a**4\/12 + a**3 - 6*a**2. Let t(u) = -u**2 - 5*u - 2. Calculate p*t(m) + 6*k(m).\nAnswer: m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 0*m**5 + 3\/5*m**6 + 0 + 0*m**4 + 0*m**3 + 23*m - 21\/2*m**2. Find the first derivative of q(z) wrt z.\nAnswer: 72*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 3*a + 12. Let x be 2\/3*18\/42. What is the second smallest value in x, a, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 99 and 0.4?\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nineteen quarters of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/21*(-14)\/(-4). Let h(j) = j + 34. Calculate the smallest common multiple of (w\/(-10))\/(6\/(-360)) and h(-25).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 908 a factor of 11704120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1045353*b**3 + 3036643*b**2 wrt b.\nAnswer: -6272118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 6:46 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122 - -101?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**2*v**2 - 2*i**2*v - 4506*i**2 - 61069*v**2 wrt i.\nAnswer: 4*i*v**2 - 4*i*v - 9012*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 5*a + 2 + a)*(2 - 5 - 3) + 0 + 0 - 3*a.\nAnswer: 15*a - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14387726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 11. Let b(h) be the third derivative of h**5\/30 - 9*h**2. Calculate y(b(n)).\nAnswer: 8*n**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-9 + -1 - ((-18 - -17) + -8)) + -44.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1165 divided by 3120\nAnswer: 233\/624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3064 and -362.2.\nAnswer: -361.8936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298186 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 l when three letters picked without replacement from {r: 1, l: 1, j: 1, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 204, 676, 1414, 2418, 3688, 5224?\n\"Answer: 133*b**2 + 73*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/8937 and -125\/6.\nAnswer: 17874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5 = 0, 2 = -h + 4*o - 8*o. Calculate the least common multiple of h and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2. Suppose 31 = 5*s - h - 449, -370 = -4*s - 2*h. Let o(y) = -199 + s - y + 91. Give b(o(i)).\nAnswer: -2*i**2 - 52*i - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i + 8. Let b be j(14). Suppose 4*a + a = b. Let q be ((-2)\/6)\/(-4*1\/a). Solve -2*g - 2*g + 21 = 3*p, q*g + 6 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 440 or 437?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -1815.6718?\nAnswer: 7262.6872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/20 + 57*a**4\/4 + 3249*a**3\/2 + 264*a**2. Solve r(m) = 0 for m.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 598 and -0.1.\nAnswer: 597.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*v**2\/7 + 36*v + 40\/7 = 0.\nAnswer: -5\/9, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + -133302141?\nAnswer: -133302112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.59765581 to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/1462 and 1\/8432.\nAnswer: 362576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -197 + 196.669. What is x rounded to two decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 - 3*q**3 - 3*q**3)*(4 + 5 - 6)*(0*q**2 + 3*q**2 - 2*q**2).\nAnswer: -3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 + -98. What is the common denominator of 1\/54 and o\/(-12)*(-86)\/(-14)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**0*x)**1 assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -389, -489, -663, -935, -1329?\nAnswer: -1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**3\/6 - 3*c**2\/2 - c. Let h be u(5). Suppose -33 = -h*b - 2*g + 77, 0 = -4*b + 5*g + 184. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 245041, 4, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6}. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/5)\/((-34)\/(-85)). Solve p + 2*p + 9 = 0, 2*a - t = 4*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36, 278, 896, 2070, 3980, 6806?\n\"Answer: 30*a**3 + 8*a**2 + 8*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 36736*z**2 - 10*z + 6. Let n(j) = j - 1. Let h be ((-32)\/(-2))\/(0 + 2). Let b be n(h). Let p be l(b). Round p to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + f - 3*f + (-6 + 3 + 2)*(-2 + 4 - 4)*(1 + 0 + 0)*(-102*f + 451 - 451).\nAnswer: -207*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbaqaxaaaebqf. What is prob of sequence axff?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.65508969642 + 0.8\nAnswer: 1.45508969642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 6:21 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 12*d - 8. Let y be w(11). Suppose t = y - 4. Suppose 4*l + 3 = -9. Put -4, l, t in increasing order.\nAnswer: -4, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/3, -411, 0.4.\nAnswer: -411, -2\/3, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 1 - 2 + 4*z)*(819 + 56*z - 819)*(4 - 7 + 1)*(0 - 6 - 3).\nAnswer: 1008*z**2 - 1008*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 953, 1987, 3097, 4283, 5545, 6883?\nAnswer: 8297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (0 - (2 - 1)). Suppose -25*c = -27*c - 2*w + 230, -3*c - 4*w = -337. Calculate the greatest common factor of r and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 40 = y, 5*c + 2*y + 5 - 40 = 0. Suppose 140 = c*o + 23. Solve -14*a + o*a + 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = i, 0 = -c - 3*c + 8. Suppose 28*n - 56 = 29*n. Let v be ((-1)\/(-3))\/(n\/(-1008)). Solve -5*k - 20 = a, i = -3*a - 2*k + v*k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 26010\/(-450) - 41?\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 242*c - 8 - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5621, -22537, -50733, -90209, -140965, -203001, -276317?\nAnswer: -360913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -254\/29633 or 1?\nAnswer: -254\/29633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367785527 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -20*p**2 - 17*p - 17. Let j(n) = -7*n**2 - 6*n - 13. Let f(o) = 7*o**2 + 6*o + 12. Let z(t) = -7*f(t) - 6*j(t). Give -6*l(x) + 17*z(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -34. Let j = -238 + 266.8. Let h = u - j. Sort -1.1, -0.2, h.\nAnswer: -1.1, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 318 - 3038*i - 318 + 164*i in the form y + t*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(n\/n**(-2\/5)))))\/(n*n**7))\/(n**(-4)*n)**(-4) assuming n is positive.\nAnswer: n**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + 1544?\nAnswer: 152b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = b - 59. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79*i + 309 with respect to i.\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1578 is divided by 213?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -i + 10, -85 = -5*k + 3*i - 137 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(152)\/(sqrt(24)\/sqrt(3)) + (5*(sqrt(133) + sqrt(133)*1))\/sqrt(7))**2 + 4.\nAnswer: 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**15)**(-20))**(2\/37) assuming c is positive.\nAnswer: c**(-600\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -15*r + 60 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d + 400 = 0. Suppose -s = s - 24. Suppose 0 = 2*f - d + s. Calculate the greatest common factor of f and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 2 - (-39 - 4 - -91) - -13?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -468.39999954643 + 468.4. What is i rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 51. Let d(r) = -r - 11. Let f be d(i). Which is the nearest to f? (a) 2\/17 (b) -4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 9:34 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 16. Suppose -2*r + 3*c - 5 = 0, 2*r = -4*c + 2*c - 20. Let h(p) = p**3 + 7*p**2 - p + 5. Calculate the remainder when y is divided by h(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 1:42 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/1353 - 2720\/9471. What is the second biggest value in -33, m, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xka when three letters picked without replacement from {a: 2, k: 1, x: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 24441 + 24441.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2080180 divided by 416036.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 15. Let k = f + -14. Is (948\/(-8))\/k*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 z, and 2 o when four letters picked without replacement from pbyzeooz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61282 = -8*t + 3142. What are the prime factors of t?\nAnswer: 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.716 and -61?\nAnswer: -43.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.024\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5 + 13. Suppose v - 59 + 3 = 0. Let w = v - 46. Solve 3*l - 2*a = -2*l + w, 4*l - z = -4*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126 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: Suppose 647*q - 3*m = 643*q - 18, -24 = -5*q - 4*m. Let b(c) = -c**3 - 5*c**2 + 7*c + 7. Let o be b(-6). Let u be (o*2)\/(5 + -4). Solve q = 3*i - u*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.1830282.\nAnswer: 0.05490846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.9370261us to weeks.\nAnswer: 0.00000000002965778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 1446.8163836.\nAnswer: 1445.8163836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1684)\/3 + (-2)\/(-2). Let j = s + 551. What is the common denominator of 23\/33*(5 + 1) and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 16 = -5*d + 4*o, -4*d - 6 = -o. What is the nearest to -1\/2 in -0.4, -3, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 119 - 269 = 34*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 6366\/116453?\nAnswer: 6366\/116453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1457 + -1452. Which is the nearest to -1? (a) 0.4 (b) -5.4 (c) k (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-408)\/4845)\/(20\/25). What is the third biggest value in -1, 199, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/80661 and -27\/1762007?\nAnswer: 6179358549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1341 - -155104?\nAnswer: 200445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4) + 11720\/16 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 9:56 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200292?\nAnswer: 2, 3, 16691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.8989705 * -8\nAnswer: -7.191764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -101 + 40*s**2 - 31*s**2 - 94*s**2 + 101 as v + c*s**2 + t*s and give c.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 101 = 102, -5*r = -5*d - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 103, 389, 961, 1915, 3347?\n\"Answer: 16*g**3 - g**2 - 13*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1)*195\/(-78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63.803293 + 154.8033023. Let z = -222 - -131. Let a = z + p. Round a to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b + 11. Suppose o = -0*o + b. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1157 = 189*t - 355 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/5 + 36*c**2\/5 - 2*c\/5 - 36\/5 = 0. Calculate c.\nAnswer: -18, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 2*n**2 - 7. Give v(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccq when three letters picked without replacement from qqccqcqqcqqc.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -8480.826 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*p*p**(-4)\/p*p)*p)\/p))**(-29)*(p**(2\/5))**48)**31 assuming p is positive.\nAnswer: p**(11966\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(884\/(-975)))\/((2\/14)\/((-348)\/(-609))).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -1164 + 1144. What is the remainder when 171 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/5))**14\/(n*n\/n**(-5\/7)*n*n**(2\/9)*n))**(2\/33) assuming n is positive.\nAnswer: n**(9238\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000032 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/242 and -91\/44.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72358852799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4 + 4 + 3 - 6*l - l**2 + 6. Let b be c(-7). Differentiate -4 + 2 + b*f**2 - 3*f**2 wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1532553.92 + 1532556.91999891. Let p = -0.06 + 3.06. Let m = o - p. What is m rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**4\/12 + 4*u**3\/3 - 2*u**2 + 4*u. What is the units digit of z(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(14336\/7584) + 4 + -22)*(-14)\/(-12)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 53273.37 decades?\nAnswer: 532.7337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + r**2 + 0*r**2)*(-2*r**2 + 2*r**2 - r**3)*(5 + 0 - 2).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 6*n - 1. Let b be t(-7). Suppose -i + b = 9. Calculate the common denominator of (-1)\/i*207\/(-30) and -27\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.6 from 195345.\nAnswer: 195345.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10519479, -10519482, -10519485, -10519488, -10519491, -10519494?\nAnswer: -10519497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -255530443?\nAnswer: 255530446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (6 + (-1 - -6) + -14)) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -167 - -197. Calculate the highest common factor of l and 750.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 - (-1 - (-4 + 9))) - 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 6677\/1068 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (5 + (-23 - 5 - 13))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q - 19*q - 20*q + 66*q - 16*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -5 (c) -1\/4 (d) -108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880) - (sqrt(2880) - (sqrt(2880) + 3*sqrt(2880))*1)) + sqrt(2880))\/(sqrt(99)\/((1*sqrt(66))\/sqrt(6))).\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i + 458*i**2 - 5*i + 5*i + 252*i**2 + 1 - 722*i**2.\nAnswer: -12*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/2090 and 49\/1672.\nAnswer: 8360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 7*x**2 + 9*x + 5. Let i be b(5). Suppose -j + 71 = -i. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.2 - 4.3. Let c = s - -7.49894. What is c rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5 + 328*m**4 - 17163*m**3 - 140314*m**2 + 256136*m + 931008 = 0. What is m?\nAnswer: -373, -8, -2, 3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w. Let y(z) be the first derivative of -922*z**3\/3 + z**2\/2 + 1425. Determine k(y(n)).\nAnswer: -922*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -32*q + 0 + 0*q**2 - 1\/3*q**3. Let t(u) = -59*u. What is t(n(k))?\nAnswer: 118*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnlnlnpxznzxpnppnfn. What is prob of sequence pnzl?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 56 - 67 + 34 + w. Let l be -9*(-2)\/8*-4. Is u(l) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-7)*(-228)\/(-3). Suppose -2*u + a = -86. What is the greatest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1191381, -1191386, -1191415, -1191480, -1191593, -1191766, -1192011?\n\"Answer: -2*w**3 + 9*w - 1191388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 993397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8*n = 4*n + 27, -4*u - 29 = -3*n. Let h(g) = -g**2 - 3*g + 6. Calculate h(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 5*x**2 + 13 as d*x + h*x**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from rttrrrtzyrytrr.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.69 + -1.37. Let k = r + 2. Let j = k + -0.14. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvovbvoooovvvovoovoo. What is prob of picking 2 v and 2 o?\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 100 = 3*k - k, 2*a = k - 50. Suppose 0 = -3*h + 4*t + 44, 5*t + 20 = 5*h - k. What is the smallest common multiple of -2*(-3 - -1 - 0) and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-9 - (-5 + 1 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 22062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11d - -b?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2972, 6140, 9726, 13940, 18992, 25092?\nAnswer: 32450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 4246556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 9:42 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -126*k**2 + 776 + 774 - 1552. Let f(x) = x**2. Calculate f(p(t)).\nAnswer: 15876*t**4 + 504*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u**2. Let f(v) = 206*v + 202*v - 407*v. Determine f(l(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610461459.\nAnswer: 3, 67829051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhhh when four letters picked without replacement from hhhhhmhhhhmhhhhmmmh?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 275*p**2 + 63*p + 9. Let c be u(-3). Calculate the greatest common divisor of c and 540.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31345\/6 - -5199. What is the common denominator of m and (-2)\/(-4) - (-40)\/44?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*k**2 + 1\/6*k - 10\/3.\nAnswer: (k - 4)*(k + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*l**3 - 60135*l**2 + 1351760*l + 6647940 = 0. Calculate l.\nAnswer: -947, -54\/13, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*x - 53 - 124, -5*x - 387 = -4*q. What is the remainder when q is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-3057166.3.\nAnswer: -6114332.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 602462 by -3.\nAnswer: -602462\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b**2 - 2*b + 5. Let j(x) be the second derivative of -3*x**4\/4 - x**3\/3 + 3*x**2 - 4*x - 313. What is -6*j(z) + 7*t(z)?\nAnswer: -2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)*-3 + sqrt(196) - (sqrt(1100)\/sqrt(11) - sqrt(4)))\/((sqrt(450)*2)\/sqrt(9) - -2*sqrt(800))*-4.\nAnswer: 36*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -922, -1708, -2992, -4774, -7054?\nAnswer: -9832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9986, -19974, -29962?\nAnswer: -39950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 7 = 105*j - 108*j - 8, -j = -4*f - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/12*95676\/(-469).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-40))\/((-1)\/12*-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 12*i - 876. Let h = i + -44. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + -21*1\/(-54) and 25\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(4)*-1)*-2 + -2)**2 - (sqrt(153)*2*2 - sqrt(153))\/(sqrt(144) + (sqrt(144) - (sqrt(144) - (sqrt(144) + sqrt(144)*2) - sqrt(144)))).\nAnswer: -163*sqrt(17)\/20 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j - 330*j**2 + 1279*j**3 - 1280*j**3 + 4 + 0 + 329*j**2 as y*j**2 + s + q*j + v*j**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + 79 + (-3 - 0 - -11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (682 - 682 + 187*h)*(2 - 4 + 3)*(4 + 2*h - 4).\nAnswer: 374*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-6 + 3))*(-6 + 5). Let i be 3 + (p - -5 - -5). Let -j**3 + 2*j**5 - 4*j**2 + i*j**4 - 4*j**4 + j**3 - 2*j = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 9:46 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = -3*s. Suppose -4*u - 5 - s = 5*w, -4*u = -w + 37. Let t = 11 + u. Solve l - 12 = -t*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 253 - 760\/3. Which is the third biggest value? (a) 1\/2 (b) l (c) -0.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3305444 - -0.1.\nAnswer: -3305443.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.8 in 131, 1\/6, 357?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 589, 1070, 1429, 1606, 1541, 1174, 445?\n\"Answer: -10*s**3 - s**2 + 554*s + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 - 4*w + 5. Calculate f(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**2. Let c(u) = 3*u**2 - 3*u - 150. Calculate c(w(m)).\nAnswer: 108*m**4 - 18*m**2 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -574904 at least as big as -574915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/(-48) + 3 + (-60)\/45.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z + 0*z + 2 - 3*z**2 + 0*z**2 - z**3 - 3*z**2. Let y = -3 - 2. Calculate o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t - 79. Let x(y) = y**2 + y - 10. Let j be x(3). Let v(q) = -1 - 25 - 3 + 29 + 2*q**j. Determine d(v(g)).\nAnswer: -6*g**2 - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 186.3 + -4.3. Let s = p - 183. What is the smallest value in 1\/95, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5511d (base 15) to base 11\nAnswer: 175055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 48083.0323 to the nearest ten.\nAnswer: 48080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*r + 17 = 0, 2*r = p + r + 3. List the prime factors of (214\/(-10))\/(p\/20).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 507.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1421\/57 + -480\/19. Which is the nearest to h? (a) 1\/2 (b) -0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 - -87. Is 8 a factor of (320\/t)\/(6\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-300)\/(-8) - (-1)\/2. Let g = 2889 + -2660. Let v = g + z. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1\/31 (b) 2.67 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.015 - -0.015. Let z be (-2 - 17\/(-7))*-1. What is the second biggest value in c, 0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6 = 3*b, -9*f - 429981 = 4*b - 429938 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164405399?\nAnswer: 71, 79, 29311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from rkfvffkfrffkfkf.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17110 at most as big as 17729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 680605 to the power of 1\/2, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 407 - 398. Calculate the highest common factor of w and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2*g**2 + g)*(-2*g**3 + g**3 + 3*g**3) - g**5 + 2*g + 236*g**3 + 26*g**4 - 236*g**3 + (5*g - g**3 - 5*g)*(-2*g**2 - 2*g**2 + g**2).\nAnswer: -2*g**5 + 26*g**4 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13020307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 25240\nAnswer: -9\/25240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -68156261199 + 69\nAnswer: -68156261130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*y**5 - 113*y**4 + 2*y**3 - 6764775*y**2?\nAnswer: 1380*y**2 - 2712*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 347*p**3\/3 - 3398*p**2 + 3815*p. Find the first derivative of b(k) wrt k.\nAnswer: 694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2 + 6. Suppose 4*k - 79 = -59. Let d be -4 + (k - (3 - 6)). What is the greatest common factor of d and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1007471, -2014945, -3022419, -4029893?\nAnswer: -5037367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w - 27. Suppose 17*s - 15*s = -j + 14, -j = -s - 26. Let l(o) = -3*o - 9*o - 12*o + j*o. What is l(c(d))?\nAnswer: -10*d + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 + 1048*r + 10087. What is n(-252)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 78269.13 months in years?\nAnswer: 6522.4275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 plus 31?\nAnswer: 31.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22636703 is divided by 5659174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*y - 2*y - 3*y + 2 - 2 + 2 + y + (y + 2 - 2)*(2 + 2 - 2))*(y**4 + 3*y**2 - 3*y**2).\nAnswer: 94*y**5 + 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/16*2\/(-2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85960 = -9161*m - 376538 - 72840 - 534360 for m.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/11 (b) -16146 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 651?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -6, -4, -2202 in decreasing order.\nAnswer: 1, 0, -4, -6, -2202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v + 56. Let d be w(6). What is the second derivative of o**2 + o**2 + 25*o - 5*o - 10*o**5 - d + 5 wrt o?\nAnswer: -200*o**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 399447?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 11*m**5\/60 + m**4\/8 + 16*m**3\/3 + 46*m**2. Is 6 a factor of i(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.130199181 - 0.1302. What is l rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.6 - -3.6. What is the nearest to 0.1 in 5, i, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) -17 (c) -0.02 (d) 4 (e) -5 (f) 0 (g) 60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2 + 27. Sort o, 1, 0 in decreasing order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:58 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(11)*2 + ((sqrt(132) + -3*sqrt(132) + sqrt(132) - sqrt(132)) + sqrt(132))\/sqrt(12).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/3184 + 4825\/359792. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -120*v**3 - 3*v**2 - 74*v - 75. What is the remainder when m(-1) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 4*f + 4*f)*(-4 - 1 + 4) + 21 - 6*f - 21 + 0 + 8 - 2*f + 3 + 20*f + 7*f + 14*f as t + x*f and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*d = -27, -12 - 2 = 3*z + d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**3 - x - 32. Let n(p) = -p**3 + p. Calculate f(h) + 2*n(h).\nAnswer: h**3 + h - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 149233.7689 to the nearest one hundred.\nAnswer: 149200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(15)\/sqrt(3))*-6.\nAnswer: -24 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65*-75584.8.\nAnswer: 4913012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 + 195*b - 243. Let c be s(-50). Solve -368 = -c*a - 403 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1)*(-4)\/(-3). Let c(b) = b + 1. Let g be c(2). Let j = -578 + 579. Solve j - i = -g*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 12. Suppose 0 = -0*q - q - 3, -5*q = y*j + 6. Suppose w = 4*s + 2 + 40, -3*w - j*s = -156. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**5 + 3*u**5 - 2*u**5)*(-2 + 4 - 3) + 2*u**2 - u**5 - 2*u**2 - 3*u**5 + u**5 + 5*u**5 + u + 3*u**5 + 25 - 30*u**3 - 23 + 32*u**3.\nAnswer: 7*u**5 + 2*u**3 + u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 3*s**2 - s**2 - 1 + 1 + (-2 - 2*s + 2)*(3*s - 3*s + 2*s) - 15*s**2 - 18*s**2 - 83*s**2 - s**2 - 2*s**2 + s**2.\nAnswer: -126*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 5*n - 8. Let o(x) = 26*x + 264. Let v be o(-10). Calculate m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhzhh. Give prob of picking 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -48130, -48126, -48126, -48130?\n\"Answer: -2*f**2 + 10*f - 48138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*o + 8*o - 4*f + 36, -4*o + 20 = f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 34*u - 169 = 0. Suppose u*d = -1642 + 17190. What are the prime factors of d?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 746084825.\nAnswer: 5, 29843393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8*t = 52. Let n = 134 - 72. Suppose 5*g - n = t. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c = 16. Find the third derivative of -j**4 + 2*j**5 + 0*j**4 + j**c + 3*j**2 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3720*b**2*d*t**3 - 3*b**2*d*t**2 - 3*b**2*d*t - 255*b*d*t + 2*b*t**2 wrt t?\nAnswer: 22320*b**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 7*a**2 - 231*a - 26. What is the remainder when 11 is divided by r(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let d(c) = -c. Let b(t) = -t**2 - t - 5. Let i be b(0). Let g(p) = i*d(p) - 4*j(p). Let u(h) = -6*h. Give u(g(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -303167*d**2 - 492*d - 34?\nAnswer: -606334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/c**8*c*c*c*c**5\/c)\/((c*(c\/(c*c**(-2\/15)\/c*c))\/c)\/(c\/(c*c**(-3)))))**(-7) assuming c is positive.\nAnswer: c**(-511\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 674e28?\nAnswer: 674e24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 6. Let p be (z - (-1)\/(-3))*3. Let v = p - -4. Calculate the remainder when 23 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 936000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 269673 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Let u(k) = -k**3 - 23*k**2 + 6*k + 358. Let c be u(-23). Let b = c + -218. Solve 0 = -5*z - o*i + 15, 0*z + b*i + 20 = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, m: 2, x: 6, r: 2, o: 1, h: 1}. Give prob of sequence oyry.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b - 2*b + 2786 - 2789. Give v(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479564 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 100110101111110010110?\nAnswer: 100110101111110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptgtsptttppptttttgpp. Give prob of picking 3 t and 1 s.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 143, 213?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/28 + 226\/4. Suppose -v - k = 49. Let f = -26 - v. Calculate the remainder when f is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzgzjzsshg. What is prob of picking 1 h, 1 s, and 1 j?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16046, 64078, 144132, 256208, 400306, 576426?\n\"Answer: 16011*p**2 - p + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 > 1479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167301521 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 75*f - 188. Is u(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116739 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 480*o**3 + o - 14 - 13 + 508*o**3.\nAnswer: 28*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28628806007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 129782 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -114, -120, -126, -132, -138?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w + 9. Let m(x) = 2*x - 3. Let q(h) = 8*m(h) + 3*v(h). Determine q(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8*d = 450. Let j = d + -79. Which is the nearest to 1\/3? (a) -20 (b) j (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t + 1. Suppose 3*v + 0*k + 2*k = 86, v - 34 = 2*k. Let z(o) = -o**2 - 2*o - 5. Let l be z(-6). Let y = l + v. What is w(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 161\/(-49) - (18\/(-21))\/3. Let b be (-230)\/(-5) + 1 + (t - -1). Let f = 48 - b. Solve -f*r + 4 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -f - 5, -4*f - 5 = 5*t - 6*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.551 - -295.449. Which is smaller: 5\/2 or b?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11981383?\nAnswer: 139, 86197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 t when three letters picked without replacement from {t: 14, u: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 + (1 - (0 + 1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*h**2 + 4 - 3 + 122*h**2 - 225*h**2 + 57*h**2.\nAnswer: 69*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(((-3)\/(-1))\/(-26*57\/988))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*-1*sqrt(117) - sqrt(117) - sqrt(117))\/(-5*sqrt(81))*-2.\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 254 = -3*h, 0 = -t - 3*t + h + 199. Let m = -46 + t. Let k be (-264)\/(-18)*(-1)\/((-2)\/m). Solve 0 = -5*c - g - k, 3*g - 14 = 4*c + c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**4\/2 - 2*s**3 + 2*s**2 + 7. Find y such that c(y) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + 17. What is z(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84900*g + 17077*g + 46067*g to the form n*g + y and give n.\nAnswer: -21756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1530)\/(-250) - 6\/1)\/((-27)\/(-30))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021030 (base 4) in base 5?\nAnswer: 122214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 16, -0.12, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + v**2 - 3*v**2)*(3*v - 2*v + 8*v)*(-4*v**2 - 6*v**2 + 5*v**2).\nAnswer: 270*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5686075 months in decades?\nAnswer: 0.0214050625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y + 2*y**2 - 8*y - 4*y**2 to the form o + g*y**2 + v*y and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o + 43. Let d be i(-8). Suppose -3*u + d*c = 2*u - 40, c = -u. Solve 3 = 4*q - u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**5\/4 - f**4\/4 + f**3\/3 - 3*f**2\/2 + 2*f. Let r(s) = s**3 - s**2 + s - 1. Suppose 2*m + 1 = m. Calculate m*d(l) + 3*r(l).\nAnswer: -2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101 (base 3) to base 6.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 39 = -3*q. Let u = 19 - q. Suppose x - u = -x. Solve -2*t + x = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -6*n + 3273. Let q = 23 + n. Let o = 2014 - q. What is o rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1745875829?\nAnswer: 1103, 1163, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 + -103. Suppose 4*v - 4*y = 60, 3*y - 25 = -k*v - v. Solve -3*x - 2*x + v = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, 3, 29, 61, 99, 143?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 1, h: 1}. What is prob of picking 1 h and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -5\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 154, 370, 682, 1096?\nAnswer: 1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*a + a**3 - 6*a**3 + 26*a wrt a.\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5)\/g**(-1))\/(g**1)**(3\/8)*g**(4\/5)*g*g**1*g*(g*g\/(g\/(g*g**(-1\/4)\/g*g))*g)**(24\/7) assuming g is positive.\nAnswer: g**(787\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*p + 12 + 1, -2*m + 13 = 5*p. What is the third smallest value in 0.08, 2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -19*i**3\/6 - 4*i. Let n(t) be the first derivative of 2*t**2 + 416. Determine v(n(a)).\nAnswer: -76*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 0.01, 0.02, 466\/7 in decreasing order.\nAnswer: 466\/7, 21, 0.02, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5*r**4\/2 - 54970*r**3 + 7561705*r**2\/2 + 3835825*r = 0.\nAnswer: -1, 0, 70, 21919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001110101 (base 2) to base 3.\nAnswer: -212022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52297 is divided by 2600.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/40 - 315\/180.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-109)\/436 + (-1)\/(-2) + 9\/(-48).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 4*m + m)*(2 - 2 + 1) + (-3 - 1 + 3)*(-199*m + 240*m - 280*m).\nAnswer: 237*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 1 = 4*u - 9*u, f = -6*u - 1523 + 1516 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 minus -40931.948?\nAnswer: 40929.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 19*h - 8. Let y be ((-5)\/10)\/(3\/174). What is the hundreds digit of n(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.05 to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) 4\/3 (c) -2\/17 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**4\/21 + 16*c**3\/3 - 6*c**2 - 228*c\/7 = 0?\nAnswer: -57, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n - 6. Let i be m(-3). Suppose i*l + 25 = l + 5*v, -4*l - 5 = -v. Solve -3*j - j + 12 = l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22237262 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 22001?\nAnswer: -21222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -157, -3, -7465 in increasing order.\nAnswer: -7465, -157, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwwmwwwyxmuy. What is prob of sequence ymww?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 14 = 3*o. Suppose 9*a = 3*a. Suppose -3*b = -a*b - o. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 20 = 2*t. Is 15 a factor of (-146)\/t + (-6)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9003, -8939, -8877, -8817, -8759?\n\"Answer: -r**2 + 67*r - 9069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 - 960 + 329 + 608. Let d(w) = -5*w**2 - 47. What is 9*b(v) - 4*d(v)?\nAnswer: 2*v**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 6:14 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 2*a**2 - 4*a + (3 + 1 - 6)*(a + a**2 - a) - 239 - 23*a**2 + 239.\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19383869 is divided by 19383863.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001095123 rounded to six decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751*o = -744*o - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115292, -115319, -115346, -115373, -115400?\nAnswer: -115427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 15 - 15. Let i(u) = 2*u**2 - 6*u. Suppose w - 2*s = 3*s - 6, 4 = -5*w - s. Let n(v) = v. Let q(f) = w*i(f) - 6*n(f). Calculate c(q(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-11)))\/g)\/g)\/g**11 assuming g is positive.\nAnswer: g**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + 0. What is the remainder when h is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*l + 25 = -2*l, 0 = 2*l + 89 - 69. Factor -9\/4 - 45\/2*b**2 - 111\/8*b - 27\/8*b**r.\nAnswer: -3*(b + 6)*(3*b + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/6)\/(20\/210). Calculate the common denominator of (4\/8*u)\/(-9) and -59\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 3\/6*-4. Let k be ((-1)\/(-3))\/(3\/45). Let p = k - d. Solve -t + 4 + p = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from isircwsmmric?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - s = -4, 0 = b + 2*s + s + 4. Suppose 5*d + b*x = 9 - 21, -3*d = x + 7. Let z(c) = -5*c**3 - 3*c**2 - c + 1. Is z(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.29, -3, 2\/5, 332?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5213\/1168 - -11\/73. Let h = -591 + 2347\/4. Find the common denominator of h and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = a - 1351, 3*a = 2*g + 5903 - 1824. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 6:07 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 912692 is divided by 456306?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 + -5511252?\nAnswer: -551126b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + (-5 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -156050.5312 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -245, -294, -3 in decreasing order.\nAnswer: 79, -3, -245, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 2851*y + 4*y**2 + 2851*y.\nAnswer: 4*y**2 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -57?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -238?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6403 - -70?\nAnswer: -6333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1683 and 374.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = 64*r - 46 + 1403 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.193*-0.6.\nAnswer: 0.1158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 7 (c) 2 (d) 5 (e) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 727662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 49\/42*-6 + 0 + 16 + (-3 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -4*-5*sqrt(1216) - (-1 + -3*(sqrt(1539) - (sqrt(1539) - sqrt(1539)*-2)))) + -4)**2.\nAnswer: -1272*sqrt(19) + 213520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71646596 a multiple of 332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*3\/(-18))\/((-2)\/30). Suppose 0 = 5*j - 2*j - 5*a - 30, 0 = j + 2*a - y. Suppose -p - j*p + 132 = 0. Solve -5*u - p = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92055486 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 256 or 258875\/1017?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**3\/k)*k**(-2))**(2\/35)\/((k\/(k**(-1\/4)\/k))**28*k**(2\/7)*(k*k**(-1\/5))\/k) assuming k is positive.\nAnswer: k**(-2214\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31834 and 23152.\nAnswer: 254672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0533 - -2.9467. Let d = -1 + 0.95. Let x = 0.01 - d. Which is the closest to 1? (a) x (b) -2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -109 + 117. Suppose 3*b + 3*a = k*b - 553, a + 221 = 2*b. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 3. Let q(n) = -n. Let u(s) = m(s) - 3*q(s). Let j be u(-7). Let b = -3 - j. Calculate the remainder when 64 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312 and 624.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 4. Suppose 19 = -3*b + g. Let m(a) = -41*a. Is m(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z + 6. Let j be b(3). Sort 5, 4, j, 2 in increasing order.\nAnswer: j, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 138\/41 or -1.1?\nAnswer: 138\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(2)*-1 - sqrt(2)) + (sqrt(52) - sqrt(468)*1))\/((3*sqrt(192))\/sqrt(12)) + -5.\nAnswer: -5 - 5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 3. Let x = 198927 + -198925. Let r(h) be the second derivative of -h**4\/12 - h**3\/6 - 2*h**2 + 2*h. Let a = -5 + 2. Calculate a*z(p) + x*r(p).\nAnswer: -2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -437, -495, -553, -611, -669?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -215 - -214.5. Let i be 2 + -1 - (-222)\/(-720). Let q = -7\/24 + i. Which is the nearest to 4? (a) v (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -34. Suppose y*a = 18*a + 9. Let t(p) = 2*p**3 + 3*p**2 - 2*p - 2. What is t(a)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 13783.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 2\/255 (b) -0.5 (c) 1997 (d) 1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53 or -105\/2?\nAnswer: -105\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 54 = -5*q, 3*l - 43 = -7*q + 2*q. Let x = l + 1. Let j(w) = w**3 - 14*w**2 - 15*w + 16. What is the lowest common multiple of j(15) and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10008152*u - 1. Let a(c) = -2*c**2. Calculate d(a(t)).\nAnswer: -20016304*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3787458*b**3*o - 47*b**2*o**3 + 3*b*o**3 + 2*b*o + 70*b + 836*o**3 + o + 22 wrt b?\nAnswer: -22724748*b*o - 94*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 895658.3 minutes in nanoseconds?\nAnswer: 53739498000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/70*(-510)\/9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*k + j, 4*k + 4 = -2*j - 18. Let x be 2\/k*-8 + 0. Suppose -53 = -5*p - 2*z, -x*p - z = -p - 31. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489*t = 491*t + 7*u + 7, -t + u = -19. Suppose 3*b - 225 = -63. Calculate the remainder when b is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozxxoooxxoo. What is prob of picking 3 o and 1 z?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25819 is divided by 2267.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3201336324 to the power of 1\/3, to the nearest integer?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 66\/110 - (-108)\/20\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 10:55 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i\/i**(-1\/3)))\/i*i))\/i**5)\/(i**7\/i*i**(-1\/4)) assuming i is positive.\nAnswer: i**(-113\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 185 and -0.0065.\nAnswer: -1.2025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 154 = -4*p, -3*p + 107 = -4*n - 1. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w - 11. Let d be 0 + 54 - (5 - -1)\/6. Let g = d + -55. Let o be c(g). Let s(x) = 7*x**3 + x**2 - x - 1. Calculate s(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215021 - 79*p**3 - 215021.\nAnswer: -79*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117794 and 4.\nAnswer: 235588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*y = -51*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-880)\/220*(-8 - 195\/(-24)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.063 - 0.937. Let n = -0.62 + 12.62. Let q = 17 - n. What is the biggest value in -0.08, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n**3 - 4*n**2 - 7*n - 9. Let g(u) = 7*u**3 + 3*u**2 + 6*u + 8. Give 5*g(a) + 4*w(a).\nAnswer: 3*a**3 - a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -167, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109 + 5*g - 4*g - 7 + (-12*g - 5*g + 10*g)*(-1 - 4 + 3).\nAnswer: 15*g - 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 531894 and 20357034.\nAnswer: 223927374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.053?\nAnswer: -0.0159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 532 + -4?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6084976 take away -1.19?\nAnswer: -6084974.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119410 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 1:22 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -49*j**6\/30 - 57*j**5\/4 - j**2 - 516. Find the third derivative of b(i) wrt i.\nAnswer: -1176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2523408 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: How many nanograms are there in fifty-seven fifths of a microgram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 13*z**2. Let v(m) = -62 - m + 62. Give v(h(d)).\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*d = -4*x, 5*x = 3*d. Let s = d + 0. Suppose -39 = -g - s*g - 5*o, -5*o = -g + 9. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 2:01 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, 37, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-792))\/(5\/(-6))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 7*d**2 - 10*d - 7. Let q = -28 + 39. Suppose q = -5*k - 19. What is the remainder when 50 is divided by m(k)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + -1.2. Put 2, n, -3 in ascending order.\nAnswer: -3, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689644332.\nAnswer: 2, 3, 13, 37, 39827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -24 - 9894\/1261.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*3*(-2 - -1). Suppose -2*g + p = 2*g. Calculate the remainder when g is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p - p**4 + p**3 - 2*p**3 + 1 - p**2 - p to the form j + k*p**4 + g*p + w*p**2 + z*p**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 = -0. Suppose 0 = i - n*i + 18. Let w = 44 + i. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(2)*-1)*2*4 + (2*sqrt(833) - sqrt(833)) + -2 + (sqrt(833) - (-1 + sqrt(833))*-6))**2.\nAnswer: -768*sqrt(17) + 39232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 2565 = 20*c + 477. Solve 17 = -15*x - c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*c + 432. What are the prime factors of c?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2175 and 10411000?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 0*f**4 + 21 + 37\/7*f**7 + 0*f**2 + 0*f**6 + 0*f - 40\/3*f**3 + 0*f**5. What is the third derivative of k(i) wrt i?\nAnswer: 4440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.21, 2, 0.4.\nAnswer: -1\/2, 0.21, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 5*m**2 + 2*m - 6. Let w be x(5). Let b(z) = -z**3 + 5*z**2 - 3*z + 4. List the prime factors of b(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 - 211*r**2 - 715*r - 243. Determine s(-102).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*o**3 + 25\/2 - 15\/2*o - 9\/2*o**2.\nAnswer: -(o - 1)*(o + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 3)\/(-2 + 4). Let g be u\/(-5) + (-149995)\/25. Round g to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10142223324 + 10?\nAnswer: 10142223334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - n + 20 - 15 - 58.\nAnswer: -n - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 7 + 12 + 24*c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w + 64. What is f(18)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose -3*f = 4*g - 5, 3*g - o*f - 27 + 2 = 0. What is the smallest common multiple of 3 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/6)\/(5\/15). Let w be (d - 2)*-1 - 4. Factor 7994*o**2 - 8010*o**2 + 0*o**3 + 16 + 2*o**w - 2*o.\nAnswer: 2*(o - 8)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9899\/247 - 11) + 3 + 160\/(-52)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 99 + 49 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 3*h**2\/2 - 5*h + 2. Suppose 35 = 3*a + 2*v - 63, -a - v = -33. Suppose -4*g + w + 19 = -0*g, 2*g - a = -4*w. Determine c(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -106*d**3 + 2*d + 2. Let o(s) = -3*s - 28. Let p be o(-9). Is f(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-170)\/(-1800) - (-6)\/(-27). Let l = -0.3 + 0.2. Sort 1, -9, q, l in increasing order.\nAnswer: -9, l, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - (3 - 76)) + -57?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 15\/(-10))*-8. Suppose x*o**2 + 6*o + o**2 - o**2 - o**2 = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-6)*n*(n\/(n*n*n**(-3\/10)*n))\/n*(n**5*n)**(3\/28))**18 assuming n is positive.\nAnswer: n**(3744\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 120\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11001101022010002 + -11?\nAnswer: 11001101022002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -11.9. Let l = 17404 - 17403.5. What is the nearest to t in -2, -4, -20\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:42 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 473712636*a**3 - 570151536*a**2 wrt a?\nAnswer: 2842275816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -464 greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(153) + -4 + sqrt(153))*-5)**2*-3.\nAnswer: -753600 + 57600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - -4*sqrt(133))*5 - (4*sqrt(133)*4 + sqrt(133)))\/(-4*(sqrt(252) + 5*sqrt(252))*-6).\nAnswer: sqrt(19)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b - 5. Let l be p(4). Suppose 0 = 6*d - d. Suppose 11 = v + l*r, d*v + v - r - 7 = 0. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*(-5)\/(-20)*-6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 1 + 1)*(6*i**3 + 5*i**3 - 4*i**3) + 5*i + 107*i**4 - 6*i - 106*i**4.\nAnswer: 29*i**4 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s + 159 - 117 = -0*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:10 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {s: 5, r: 1, u: 10, l: 1}.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3, 2*i - 2*b = 66 + 14. Let o = i + 9. Suppose -2*z + 65 = 5*s + 2*z, -2*z + o = 4*s. Calculate the remainder when 51 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 562553 and 233483?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9 - 1.5. Which is greater: i or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -3, -73, 2, -5061 in ascending order.\nAnswer: -5061, -73, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, e: 2}. Give prob of picking 4 n.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**6\/24 - m**5\/10 - 7*m**4\/24 + m**3 - 21*m**2. Let k be q(-7). Let y = k - 797. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*r + 4 = 0, -2*r = -d - 3 - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18, 115, 370, 861, 1666, 2863, 4530?\n\"Answer: 13*t**3 + t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5280.658 - -5242. Let s = -39.1 - v. What is s rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/395 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2*b = -58 + 78, -4*n + 5*b + 8 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*-1*3*(-25)\/(375\/10). Let k(r) = 16*r - 50. What is k(o)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22986 + 1174. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6)*((-25)\/(-7) - 4). Let m = -1354 + 1399. Which is the third biggest value? (a) m (b) 0.5 (c) 3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53088872*z**3 - 104291139 with respect to z.\nAnswer: -159266616*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 194.8808954 to 2 decimal places.\nAnswer: 194.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1137 - 11038*r + 11032*r - 1137.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 10*y**2 - 10*y + 8. Suppose 3 + 30 = -3*q. Let n be f(q). Let b = n - -15. Calculate the highest common factor of b and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Suppose -r*h = -0*h. Let o(t) = -t**3 + 27*t**2 + 99*t - 268. Let q be o(30). Solve x - 5*v = -h*x + 23, q*v = 3*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/12 - 1\/12. What is the second smallest value in -4\/3, m, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j - 26 = 0. Let y = 31 - j. What is the remainder when (-30)\/9*21\/(-2) is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151944022?\nAnswer: 2, 971, 78241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a + 2 - 1 + 16705*a**2 - 16752*a**2 - 1 as p*a + h + m*a**2 and give m.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, c: 3, n: 12}. What is prob of picking 3 c?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 25. Give i(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6858826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -11*d**3 - 16*d**2 + 16*d + 16. Let r(t) = 3*t**3 + t - 1. Let j(s) = m(s) + 3*r(s). Give j(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/3042610 and 13\/8405.\nAnswer: 3042610","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/156)\/((-5 - -4)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 13706.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19205 + -19207. Suppose 0 = -3*t - 0*t + 18. Is u less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-105)\/21*2)\/3)\/((-2)\/12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101133 (base 4) to base 3.\nAnswer: -1112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -784*1.1.\nAnswer: -862.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -36\/21881 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*o = t - 12, 4*t - 27 = 5*o. Suppose 3*p = -5*m + 12, -2*p + t = -0*p - 3*m. Solve 3*j = p - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 + 18*s**2 + 13*s + 1. Is 25 a factor of w(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a millimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2693129631?\nAnswer: 3, 29, 97, 319129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7920274 + -4?\nAnswer: 7920270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(12\/666)\/((-28)\/(-42))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 - 1061*y + 1125721.\nAnswer: (y - 2122)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 - 854 + 355*c**2 - 844 + 1697 to t + y*c**4 + f*c**2 + a*c**3 + o*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 0.5, 4, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1946385 and 5328?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43244151 + -2?\nAnswer: 43244149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1872757 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2755413.36 minutes in weeks?\nAnswer: 273.3545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, v: 2, q: 2}. What is prob of sequence yyy?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3140 + -3115. Calculate the remainder when 610 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + u. Let y(c) = -13*c**2 + c**3 + 16*c**2 + 0*c**3 + 5*c. Let r(b) = 3*t(b) - y(b). What is the second derivative of r(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84425264 divided by -415888?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4934*u - 408436 = 11976*u for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 244.9 - -448.7. Let u = 694 - c. Put u, -54, 4 in ascending order.\nAnswer: -54, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(252) + sqrt(252) + 4*(1 + sqrt(252)))**2.\nAnswer: 504*sqrt(7) + 9121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*2\/18*(0 - 9). Solve -t*c + 0 - 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -1\/3*a**3 + 0*a + 1\/4*a**4 - 1\/2*a**2 + 28. Let f(d) = -4*d**3 + 7*d**2 + 8*d. Determine f(x) + 5*y(x).\nAnswer: x**3 + 2*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 46, 2, -30055, 3.\nAnswer: -30055, -4, 2, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-5 - -13)*(10\/(-6))\/((-16)\/(-24)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-10))\/((-39)\/156))\/(68\/20).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -374.58 - -370. Let c = v + 0.51. Which is smaller: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 2*o. Suppose 0 = 4*g - 7*g + 9. Let a be t(g). Suppose -a*b + 8 = -1. Solve -k + 8 = -4*p, -3*p = -k + b + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1104 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azw when three letters picked without replacement from awddzddb.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 5674.\nAnswer: 4\/2837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 41*b**2 - 1868*b + 35024. What is k(24)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -15*l**2 + 5. Suppose 69*i - 65*i + 16 = 0. Let n(s) = 14*s**2 - 4. Give i*g(x) - 5*n(x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3071 and -2.0474.\nAnswer: 3068.9526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-48))\/(3*(-6)\/864*-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 49. Suppose 0 = -4*s + 18 + 14. What is the remainder when g is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.983 + 28. Round i to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**5 + 7*c**4 - 13*c**3 - 31*c**2 - 20*c - 4 = 0. Calculate c.\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p - 7*p + 6 + 0 - 5. What is the remainder when m(-3) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64135 - -151355?\nAnswer: 245523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 808*a - 815*a + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15\/4093, 5, 2\/41, -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1499, -1836, -2399, -3188, -4203, -5444?\n\"Answer: -113*w**2 + 2*w - 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 8477.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = 2*q + 2*r, 0 = 5*q + 5*r. Let l(v) = 7*v**3 + v**2 + 2*v**2 - 2*v + 2*v**2. What is the units digit of l(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose 3*v + 5 = 14. Suppose z = 5*u - v. Which is the third biggest value? (a) -2\/5 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 15*v**3\/2 - 44781*v**2\/2 + 541935*v - 213192 = 0.\nAnswer: 2\/5, 24, 2961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 5*t**2 + 2*t**2 - t**2 + t**2 + (3*t - 2*t + t)*(-4*t + 0*t + 5*t) - 2*t**2 - 30 + 30)*(0 - 2*t + 0).\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*i + 10. Let p(v) = -v**3 + 7*v**2 - 6*v + 5. Let z be p(i). Suppose -z*n - 56 + 186 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/2 - n**3 + 2*n**2 + 4*n.\nAnswer: -n*(n - 2)*(n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12016237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-30)\/80*18\/27)\/((-1)\/98)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 43377*b + 27. Calculate u(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 42\/(-8) + 3\/12. Let n = 19\/40 + 1\/8. Let c = -12 + 17. Sort x, n, c in decreasing order.\nAnswer: c, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 20. Suppose 3*o + 3*a = 18, -c*o + a + 60 = -4*a. Solve -2 = -d - 1, 3*q = 3*d - o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from nininfuiff.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*y - 15*y + 4*y**3)*(0*y**2 - y**2 + 0*y**2) + 3*y**5 - 2*y**5 - 3*y**5 + (2*y**3 - 2*y**3 + y**3)*(y**2 - 2*y**2 + 2*y**2).\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22 - 2) + (-3)\/18. Let m = -888440\/14253 + 1\/4751. Let r = s + m. What is the common denominator of 137\/6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1308, -10903, -37000, -87849, -171700, -296803?\nAnswer: -471408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -758793.2 to the nearest one thousand.\nAnswer: -759000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.874683 hours?\nAnswer: 3148858800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1778, -3555, -5332?\nAnswer: -7109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -3661824 and -62250990\/17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 127 = 529*d - 534*d, -65*d = -5*n - 1615 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*k + 12, 0 = -n + 5*n + k - 6. Solve 2*x - n - 3 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aala when four letters picked without replacement from aaaallaasaaaallaal?\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 284*q - 282*q - 10, 3*q - 3*g = -27 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/((-9)\/3) + -3. What is the highest common factor of z and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -6.1, -11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 313, -12, -3, -20, 15 in decreasing order.\nAnswer: 313, 15, -3, -12, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) -5\/47 (c) -8 (d) -5\/3 (e) 1 (f) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 + 145 = 7*k. What is the remainder when -2 - 210\/(-3) - (k + 5) is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*a**4 + 36*a**2 - 20*a**2 - 18*a**3 + 17*a**3 - 18*a**2 + 3*a to the form f*a**3 + x + z*a + u*a**2 + r*a**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 8*v**2 - 2*v - 12. Let j be d(-8). Suppose -2*b = b. Let w = j + b. Solve -3*p + 1 - w = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179 - 480 + 93 + 54 - 334 - 24 + 4*z.\nAnswer: 4*z - 870","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 287491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 16) in base 14?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 + -2.1. Let f = 5 + -2. Which is the second smallest value? (a) o (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n - 29. Let u be p(-3). Let k(m) = 1 - 4*m**2 - 3 - 9*m + 0*m. Let f(v) = -2*v**2 - 5*v - 1. Calculate u*f(l) + 3*k(l).\nAnswer: -2*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4544 and -0.271296?\nAnswer: 4543.728704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -957 and -96708663.\nAnswer: -96709620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*i - i. Let s be -3 + 1 + 11 + 3. Calculate the greatest common divisor of i and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32353.2 minutes to days.\nAnswer: 22.4675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uajjjjauyjyujyjj. Give prob of sequence uaya.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*b - 2 = 1, -5*b - 5 = 0. Let p(w) = 0*w - 10 - 4*w + g*w. Suppose -5*q + 4 = -l, 5*l + 0*q - 5*q = 0. Let t(f) = 1. What is l*p(z) + 12*t(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-10))\/(3*(-11)\/165). Let w = 0 - -3. What are the prime factors of -122*m*w\/(-18)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219655.3ng in milligrams?\nAnswer: 0.2196553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(128)*-2 + sqrt(128) - -1*(sqrt(128)*2 + sqrt(128))) + ((sqrt(12)*2)\/sqrt(6) + (sqrt(2) - (sqrt(2) - (sqrt(2) + -1))*6) + 0)**2 + 0.\nAnswer: -52*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 8, q: 4}. What is prob of picking 1 w and 1 q?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008560869 rounded to 5 dps?\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*h**2 + 35*h**2 - 88*h**2 + h**3 + h**3.\nAnswer: 2*h**3 - 85*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*s + 24. Let k(w) = -1 + 2*w**2 - 3*w**2 - 4*w + 0*w**2 + s*w**2. Let d(t) = -4*t**2 + 3*t + 1. Let v(l) = 6*d(l) + 5*k(l). Solve v(y) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 23*l**2 - 5*l + 2. Let g be d(4). Suppose 5*q = -2*o + 707, 2*o - 350 - g = 2*q. What is the remainder when o is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4482747361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -362.6 != 11.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 16962*n - 7157966. Give w(422).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -319918*w**3 + 412*w**2 - 108 wrt w?\nAnswer: -1919508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 12 = -5*k. Suppose -2*z + 4*z = 4*p + 6, 3 = 2*p + z. Suppose -7*m + 4*m = p. Solve -5*o = -m*o + h + 11, -k*o + h = 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*y - 24. Let n be 2\/(((-8)\/(-5))\/y). Find the second derivative of -5*b - 3*b**n + b**5 + 6*b - 5*b wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:10 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7e (base 16) to base 2\nAnswer: -1111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/35)\/(6\/(-126)*34\/17)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 6 - 3*t**3 + 2*t**3)*(14*t + 416 - 416) to k*t + i + z*t**4 + j*t**3 + c*t**2 and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.6743 + 0.0743. Which is the biggest value? (a) i (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 61*n + 283 = -819, 4*m - 3*n = -46 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-112)\/(-36) - 3). Let k be ((1 + -4)\/p)\/(-3). Sort k, -0.5, -2\/7 in increasing order.\nAnswer: -0.5, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 8803*l - 8802*l = 24, m + 21*m - 34 = 4*l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 298075 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2085 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5282934 divided by 111?\nAnswer: -47594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 34 (b) -0.5 (c) 0.3 (d) 5 (e) -5\/54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (264\/165)\/(4\/10). Let v(s) = -s**2 - 4*s + 32. Let l be v(z). Let h be 6\/(-8)*(-1)\/(-3). Which is the third biggest value? (a) l (b) 0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**5\/7 + 4*a**3 + 8*a**2\/7 - 48*a\/7 - 32\/7 = 0. What is a?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12109.\nAnswer: 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 3:16 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 (base 8) in base 9?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -5, -2, -4, 4, 5717 in decreasing order.\nAnswer: 5717, 5, 4, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20333 (base 6) to base 12\nAnswer: -16a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6960)\/5104)\/(5\/(-66)). Solve 3*x - p = -0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 13 = -3*y, -n = 2*y - 7 - 6. Solve 0 = -4*f - 2*d - 12, 0 = -5*f - y*d - 0*d - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 4:58 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24410124 - 120?\nAnswer: -24410244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/56 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3884 - 1868. Is p a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/3)*w**(-4\/25) assuming w is positive.\nAnswer: w**(-37\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*d**2 + 37*d**2 + 27*d**2 - d - 1087*d**5 wrt d.\nAnswer: -65220*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, 3, 0.2, 5\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 34. Let q(p) = -4 + 9*p - d - 1. List the prime factors of q(8).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 5*y - 12. Let j be o(-7). Let s(p) = 7*p**j + 13*p**2 - 14*p**2. Let h(x) = -2*x**2. Calculate s(h(w)).\nAnswer: 24*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 56262564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 334 + -334.00467. What is p rounded to 4 dps?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -201, -0.9, 49 in decreasing order.\nAnswer: 49, -0.9, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 4:06 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.5, 1733, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12211210 (base 3) in base 11?\nAnswer: -3223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 26 + (-3 + 4 - 2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -922 - -24.66.\nAnswer: -897.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13\/4)\/(2\/8). Suppose x - 197 = -4*z, -5*z + 1075 = 2*x + 3*x. Calculate the greatest common divisor of x and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -32, 23228 in descending order.\nAnswer: 23228, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)*f**(-2\/9)*f**2*f**(1\/12)*f**1*f\/f**(-1\/6)*f**(3\/2)*f**(-2)\/f assuming f is positive.\nAnswer: f**(55\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(931) - (-5 + -1 + sqrt(931))) + sqrt(931))**2.\nAnswer: 154*sqrt(19) + 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 5:09 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 9*f + 21 = 0. Let q = -1 + f. What is the remainder when 28 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 1898.\nAnswer: 1898.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 5*o**2 + 10*o + 11. Calculate the remainder when 307 is divided by l(-7).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 b when four letters picked without replacement from bcbbwbbowbbobbbbocwb?\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/955834355 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2423, 2764, 3341, 4160, 5227, 6548?\n\"Answer: b**3 + 112*b**2 - 2*b + 2312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5610947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045274 to 4 decimal places.\nAnswer: -0.0453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/(4 - 3)*46. Let f(i) = i**2 + 3*i + 6. Let r be f(5). What is the highest common factor of r and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3 + 12*a**4 - 4*a**4 + 49*a + 168*a + 6*a - 29*a**4 wrt a?\nAnswer: -252*a**2 + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2152, -2147, -2136, -2119, -2096?\nAnswer: -2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 39*h**3 - 44*h - 2. Let j(t) = 76*t**3 - 88*t - 5. Let p(v) = 2*j(v) - 5*s(v). What is the second derivative of p(i) wrt i?\nAnswer: -258*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 11 = 1. Solve 4*d - 2 = f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 1. Let i(h) = 2*h**2 - h - 2. Give -8*c(k) + 3*i(k).\nAnswer: -2*k**2 - 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + u + 43 - 8 = 0, 5*f + 3*u = 35. What is the highest common factor of f and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 1. Let y(h) be the second derivative of h**3\/6 - h**2\/2 + h. Suppose -216 = 2*a - 210. Determine a*y(s) - 2*l(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*d**2 - 275*d - 42*d + 76*d**2 - 166*d**2 as a*d**2 + v*d + s and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172403 is divided by 1814?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36408 + -1480322021.\nAnswer: -1480358429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + s + 0*s)*(0*s + 3*s - 4*s)*(-3 - 2 + 0) to c*s + d*s**2 + a and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-2\/15)*f)*f*f*f\/f**17*f)**(-20\/9))**6)**(3\/8) assuming f is positive.\nAnswer: f**(193\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (4 - (-6)\/2). Suppose -4*b = 3*m - 0*m - 19, 2*b - q*m = -23. Do -1\/11 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 16.1. Let w = -0.6 - 1.4. Let p = l + w. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34343695153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129503, 129507, 129513, 129521, 129531, 129543, 129557?\nAnswer: 129573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41696?\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*s**3 - 21 - 17 - 24*s + 44 - 3*s**4 + 10*s**4 wrt s.\nAnswer: 84*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/15 - (-236)\/(-20). Is w < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2 (c) 92 (d) -2 (e) 78\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Find the second derivative of -i + 2 + 5*k - k + 2*k**5 wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-2))\/((92\/(-552))\/((-92)\/72*2))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1833 or 53150\/29?\nAnswer: 53150\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -25*x + 3. Let g be w(2). Let q = 6 - g. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a**(3\/7)\/a))*a*a**(2\/5)\/a*a**(-4)\/a*a*(a\/(a\/a**6))\/a)\/(a**(5\/6)*a**(-3)*a**(-3\/4)*a*a\/(a*a**(-2\/3))) assuming a is positive.\nAnswer: a**(431\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.428 - -0.128. What is the smallest value in h, -5\/3, -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(120)*2)\/sqrt(6))**2*5.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 705 - 389. Let x be t\/28 - 4\/14. Suppose 4*u - 410 - 30 = 0. What is the greatest common divisor of x and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-1)*j*j)\/j)\/j)\/j*j)**(-32)\/(j**(5\/3)*j\/(j\/j**3)) assuming j is positive.\nAnswer: j**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - (-21)\/15)*(-34215)\/(-6).\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2325389179.0001304 + 2325388218. Let r = 961 + o. What is r rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-105))\/((-2)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-138))\/((-18)\/(-2808)*26)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 3:55 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 281153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*k + 89 = 0, -4*v = -7*v - k + 73. Let w(o) = 4*o - 15. Let u = 13 + -7. What is the remainder when v is divided by w(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.03013442 rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 14. Let h be v(15). Let w(s) = -4 + 2 - s + 2 + s**2. Let i be w(h). Are i and -1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r - 923 = k, -r = 4*k - 252. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*u + 29 = 0, -t - t = 4*u - 8. Let q be (10\/(-15))\/(4\/(-270)). Let w = -35 + q. Calculate the highest common divisor of w and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145608472 to the power of 1\/3, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 536139 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7.3. Let r = -0.1 - a. Let i = 1.083 - 0.083. What is the biggest value in -1\/4, r, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/5 and -76\/189.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 2*u**3 + 11*u**4 + (u - u - u)*(-5*u**3 - 3*u**3 + 4*u**3).\nAnswer: 15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 758530, 1517506, 2276482?\n\"Answer: 758976*f - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 3. Let s(t) = -4*t - 7. Let n(k) = 5*g(k) + 2*s(k). Let p(u) = 4*u + 2. Determine -9*n(h) + 4*p(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcrgnc. Give prob of sequence ng.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1108700 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 564*s**2 + 2*s. What is the tens digit of d(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 + 2*r. Let d be c(9). Let m = -40 - -496. Calculate the greatest common factor of d and m.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + 0.31. Let p = j + -0.32. Let t = 0.0183 + p. What is t rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/8 + 2\/(-12). Which is the closest to 1\/3? (a) -2\/9 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16.052 and 34 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 19 = -2*i. Let y = -11 - i. Let g be (3 - 0)*1\/3. Is y less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58920*m**3 - 339200 wrt m.\nAnswer: -176760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 2\/481, -2, -5\/3, 5?\nAnswer: 2\/481","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/4)\/((-408)\/64 - -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 97 - -133c?\nAnswer: 13d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 22*z**2 - 7*z - 173. Let v be f(-22). Which is the second smallest value? (a) -0.57 (b) v (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1427396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -85190 divided by 32?\nAnswer: -42595\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13635?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-2)*((85\/(-15))\/17 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 454, 376, 298, 220?\n\"Answer: -78*x + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-17\/2)\/y))**(-14\/3)\/(y\/(y*(y*y\/((((((y\/(y\/y**(3\/5)*y)*y)\/y)\/y)\/y)\/y)\/y))\/y*y)*y)**(1\/2))**(-3\/50) assuming y is positive.\nAnswer: y**(1389\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -833. Suppose 0 = 6*r - r - n. What is the highest common factor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*g - 1123 + 69. Is g a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6664 and -61\/7841176.\nAnswer: 133299992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13140 and 45990.\nAnswer: 91980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 189838589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1360782 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 0*d + 0*d + (d - 5 + 5)*(-d - 2*d + 2*d) - 2*d**2 + 4*d - 4*d - d**2 - 4*d + 4*d + 2*d**2 + 3*d**2 - d**2 + d - d + 3*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*l - 62*l + 3*d - 27 = 0, 0 = -4*l + 4*d + 8 - 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 11 + 7 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 6*z**2 + 6*z - 7. Does 13 divide o(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 28 = -2*l, 5*l - 5*c + 2 = -3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -145258562*n**3 - 33989772.\nAnswer: -435775686*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 39*c**2 - 3*c - 215. Give k(-39).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 2 + 2*-2. Let c = x + 9. What are the prime factors of (4\/(-3))\/((-4)\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40417.\nAnswer: 13, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*n - 15*n + 321 + 823. Let c be (10\/4 + -2)*8. Suppose -5*g + 4 + 41 = -5*p, c*g - 12 = -2*p. What is the lowest common multiple of n and g?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 - 51. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8*h**2 + 4*h. Let c(i) be the first derivative of 8*i**3\/3 - 3*i**2\/2 - 1402. Give -4*c(f) - 3*k(f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 24, 0, 3, -64, 47 in descending order.\nAnswer: 47, 24, 3, 1, 0, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -d - 2*u, -d = -u - 8 - 20. Suppose 19*n - 6*n - 117 = 0. Calculate the remainder when d is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/9)\/t)\/((t*t**(-1\/18)*t)\/t))\/(t\/((t\/(t\/(t\/(t\/(t\/(t**(-15\/4)*t))*t))*t))\/t))**(18\/11) assuming t is positive.\nAnswer: t**(-85\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 89424634 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 339?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866308.\nAnswer: 2, 216577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1191, 4, 3 in decreasing order.\nAnswer: 4, 3, -1191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + 139 + 238 + 111 + (-a + 0*a - a)*(-a**2 + 2*a**2 - 2*a**2) - a**3 - a**3 + a**3)*(0*a - 3*a + 2*a).\nAnswer: 2*a**4 - 488*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 154611 divided by 17179\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, p: 3, r: 2}. Give prob of picking 1 i and 1 r.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 1:50 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3950*q - 3954*q + 512 - 512.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-306)\/(-22167)*(-21722)\/(-528). Let a = 2\/7389 + u. Calculate the common denominator of a and -15\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19565619?\nAnswer: 3, 31, 101, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*n + 33 + 38 = 0, 2*w = 2*n - 34. Let r = -10 - w. Differentiate 1 + 6*q**2 - r*q**2 - 5*q**2 wrt q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6251413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.22 - -10.78. Let u = g - 15. Let z = -77.95 - -78. Do z and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = 19*r + 3*x - 5, -x - 5 = -r. Let d be (-90)\/(r\/((-20)\/3)). Solve -d*i = -59*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 9360*g**2 + 18700*g.\nAnswer: 5*g*(g + 2)*(g + 1870)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11838 - -31614. List the prime factors of d.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmumummmmum. What is prob of sequence mu?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-13)\/((-13)\/506) - 6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.84 * 13.\nAnswer: -36.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -4\/15*x**5 + 2\/15*x**6 + 0*x + 0 + 1\/6*x**4 + 17*x**2 + 0*x**3. Factor w(t).\nAnswer: 4*t*(2*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 610263193?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 13*k**2 + 14*k + 25. Let l be u(-12). Let w be l\/((-15)\/(-9) - 2). Let q(f) = 0*f - 1 - 2*f + 7*f. Give q(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 2 = 11*q. Let l(w) = -14 - 1845*w**2 + 1847*w**q + 14. Let a(f) = -69*f. Determine l(a(y)).\nAnswer: 9522*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 239\/(-4) + (-9)\/(-12). Let l = c - -76. Calculate the greatest common divisor of 187 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313 divided by 29.\nAnswer: 313\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/1 - 207\/(-9). Let b be (-4)\/6 - -3*r\/27. Let h(m) = -m**2 + 2*m + 3. Let g(w) = w**2 - 2*w - 4. Calculate b*g(k) + 3*h(k).\nAnswer: -k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -851.458 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.22036 - 11.321. Let v = -0.9 + h. Round v to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 14*b. Let q(h) = -32*h**2 + 18*h**2 + 15*h**2. Give q(z(g)).\nAnswer: 196*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239 - 151 = -614*l + 1452 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 104201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from uzjjjuuuzjuzuzz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 12, -41106 + 6086 = -5*a + 5*p. What are the prime factors of a?\nAnswer: 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**2 + 64216*o - 641760 = 0?\nAnswer: 10, 16044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 3 (c) 4\/313\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7*m = -3*q - 3, 2*q + m + 3 = 0. Let k be (-6)\/q + 5 + -2. Solve 0 = -k*f + 4*f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9346490 divided by -395\nAnswer: -23662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j - 505 = 137*j - 10. Sort j, -10, -2, -4, 21.\nAnswer: -10, j, -4, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 1. Let k be w(-3). Let y be (1\/(-3))\/((-10)\/60). Let i = y - k. Solve -2*n - 8 = -i*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389113 to the power of 1\/2, to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -226, -225, -226, -229, -234, -241?\n\"Answer: -x**2 + 4*x - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**27\/(r\/(r**(-1\/4)\/r)*(r*r**(-3)\/r*r)\/r)*(r**(-1\/7))**6 assuming r is positive.\nAnswer: r**(753\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide (-306705)\/(-27) + 32\/24 + 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59482 is divided by 151.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67954 (base 10) in base 4?\nAnswer: 100211302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/12 - 404\/16. Let n = i + 32. Let w be (7 - n)*(2 + -15). What is the highest common divisor of 52 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -80, -204, -398, -674, -1044, -1520?\nAnswer: -2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 + 163*h + 7. Let k be g(50). What is the highest common divisor of 45 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 6*f**2 - 2*f. Let l be w(4). Suppose 4 = -2*k, a + 2*a + 3*k = l. Calculate the least common multiple of a and -1 + 1 + 16 + 0.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 1420456*a**4 - 5*a + 0 + 12 + 1420588*a**4 as g*a**2 + u*a**4 + l*a**3 + f*a + k and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -1, 5989 in decreasing order.\nAnswer: 5989, -1, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5437817051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + b81?\nAnswer: b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 53*g - 290. Calculate b(47).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 - 11*c**2 + 5*c - 4. Let a(t) = t**2 - 6*t + 3. Let o be a(3). Let z be v(o). Factor -2\/3 + 7\/3*p**3 - 16\/3*p**z + 11\/3*p.\nAnswer: (p - 1)**2*(7*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*w - 39 + 7 + 3*w - 4*w with respect to w.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 1. Let d(m) be the second derivative of 3*m**3\/2 + 2*m**2 + m. Let y(u) = -d(u) + 4*l(u). Give y(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 285 + -34. Does 43 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by -3?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 1\/35*s**5 - 1\/42*s**4 + 1\/105*s**6 - 2\/21*s**3 + 0 + 0*s**2 + 3*s. Factor t(x).\nAnswer: 2*x*(x - 1)*(x + 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 377 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.4 from -0.717772765.\nAnswer: 0.682227235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 309680000 rounded to the nearest one million?\nAnswer: 310000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -6. Suppose -i + 4*y + 10 = 0, -22 = -i + 9*y - 11*y. Calculate the remainder when i is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 470. Let o(r) = 53*r**2 + 10*r - 10. Let d(v) = 5*v**2 + v - 1. Let k(s) = -10*d(s) + o(s). Give k(w(n)).\nAnswer: 12*n**4 - 5640*n**2 + 662700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13 = 4*g - 3, 3*g + a - 16 = 0. Let f be ((-1)\/(-2))\/((-3)\/(-150)). Suppose -d + f = -0*d. Solve g*q - d = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*3\/(-6)*2. Find the second derivative of 2*o**3 + 4*o + g*o**3 - o - o wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -1\/200*h**6 + 0*h**3 + 0*h**4 - 121*h + 2*h**2 - 1\/50*h**5 + 0. Factor q(t).\nAnswer: -3*t**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (92*(-10)\/100)\/(4\/20). What is the nearest to 2\/9 in o, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Let z(r) = -2 + 3 + 0 - r + 5*r**t. Let m be z(1). Solve -m*n - 3 + 23 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -92 + 36. Suppose 0 = -6*n - s*n + 112. What is the least common multiple of n and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 11:34 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84398204491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/(-21))\/(2\/(-3)). Solve -q*j = -3 + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + 9. Suppose 3*k - i = 20 - 6, 3*k - 3*i = o. Let u(d) = -5001*d**2 + 5*d - 4. Let z be u(k). Round z to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3 - 162*r**2 - 493*r - 330 = 0.\nAnswer: -2, -1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 m when three letters picked without replacement from {m: 2, b: 4, p: 10}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26d (base 15) to base 13.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five sevenths of a week in hours?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376964669.\nAnswer: 83, 4541743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + -4 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 8:48 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/5 of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 + -4.9. Sort 0.4, 1\/2, z in descending order.\nAnswer: 1\/2, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -8*h + 6*h. Suppose -5*d - h = -0*s + 3*s, d - 15 = 5*s. Let a(q) = -q**2 + 2. Let m be a(d). Solve -y - m = -0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55497 is divided by 1067?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 8*h + 225. Let n = -7 - h. What is the units digit of n - (-1 + 3 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**4\/4 + w**3 + w**2\/2 + w + 1. Let a be x(3). Find the second derivative of 3*s**a - s**4 + 3*s - s wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -1\/280*k**6 + 0*k + 3\/7*k**3 + 2*k**2 + 7 + 3\/70*k**5 - 11\/56*k**4. Find s, given that y(s) = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/5 + 307256*q**2\/5 - 6144699*q\/5 - 6451956\/5 = 0.\nAnswer: -1, 21, 307236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a - q - 397, -4*a - 788 = -4*q. Let i = -211 - a. Which is smaller: -17 or i?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 20. Let j be h(-14). Let m = 54 + j. Solve 0 = -b + m - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-36)*21*20\/70)\/((-1)\/(-54))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-150)*10*(2\/(-4) + 2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - -0.3. Let a = 13.6 + -15. Let i = g - a. Round i to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 12. Let k = 239 - m. List the prime factors of k.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177.689146 - 272.689175. Let w = l + 95. What is w rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13811023?\nAnswer: 13811023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*g + 24, k - 6*k = 5*g. What is the tens digit of (2\/2)\/(9772\/(-2444) + k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.46349ml to litres.\nAnswer: 0.02646349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**2 + 5*a - 5. Let h(f) = 5*f**2 + 4*f - 4. Let q be 8\/(-20) - 27\/(-5). Let p(w) = q*h(w) - 4*r(w). Let p(z) = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 522547869?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w - 5. Calculate r(-5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 58*n**2 + 55*n + 229. Let l be k(59). Which is the third biggest value? (a) 499 (b) l (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72783344.\nAnswer: 2, 59, 77101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000071562 rounded to 6 decimal places?\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 5. Let x(w) = -w + 8. Let t be x(6). Suppose 4*n - m*v = 2*n + 540000, -t*n + 540000 = v. What is n rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = b - 352, -4*x + 2*b + 406 = -80. Let s = x - 98. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33414867, 66829731, 100244595?\nAnswer: 133659459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -17, 13, 0.9 in ascending order.\nAnswer: -17, 0.4, 0.9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7979, -14679, -20103, -24251, -27123, -28719?\nAnswer: -29039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - 5*r**2 + 5*r**2 + (-2 + r + 2)*(3 + 2*r - 3)*(2 - 5 - 2).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k = -42. Suppose -k = 2*b - 59. Does 10 divide (-4)\/(-2) + b + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*u**3 - 61*u**3 - 137*u**3.\nAnswer: -631*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 847 - 3349\/4. Let s = -7 + 18. Which is smaller: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s - 9. Let r be (-3)\/4 - 10\/8. Let z = r + -1. Sort -5, s, z in descending order.\nAnswer: s, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**4 - 4*r**3 + 84*r**2 + 164*r + 80 = 0.\nAnswer: -4, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2 + (sqrt(200) + sqrt(200)*3 + -2)*-5 - 1*6*sqrt(200)*3*3))**2.\nAnswer: -14800*sqrt(2) + 1095300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -4. Let q be 1*1*(n - 0). Let m = -1824\/11 + 166. Is q <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 2*b**3\/39 - 22*b**2\/13 + 144*b\/13 + 1572. Factor q(y).\nAnswer: 2*(y - 18)*(y - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-117)\/(-12))\/(2\/(-20)*15).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15804 is divided by 5256?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + 2230224?\nAnswer: 2230304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/5 - 3102*k**3\/5 + 649944*k**2 - 238459680*k + 8914147200.\nAnswer: (k - 1020)**3*(k - 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -11*x + 28. Let u be f(6). Suppose -4*n + 3*i - 15 - 7 = 0, -2 = -i. What is the units digit of u\/n + 4\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78230 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 16, -849 + 3068 = j + 4*a. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176\/239360*85)\/((-37)\/16).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**8\/168 + 8*s**7\/105 + 7*s**4\/12 - 2*s**3\/3 - 194*s**2. Find the second derivative of y(g) wrt g.\nAnswer: -40*g**3 + 192*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 79*c - 3. Let v(b) = -b**2 - 7*b + 2. Let f be v(-7). Is m(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(144) - sqrt(4))\/((2*sqrt(8))\/sqrt(4) + sqrt(2)).\nAnswer: 10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 42. Does 38 divide i(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 322 and 26?\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1564*r**5 - 1264*r - 215*r + 1300*r**2 + 1317*r**2 - 2617*r**2 wrt r?\nAnswer: -31280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*3*(-10)\/(130\/(-13))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*d*f*g**4 - 83341*d*f - 3023*d*g**3 wrt g?\nAnswer: 68*d*f*g**3 - 9069*d*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 176 + 160 = -4*p, 0 = -2*s + p + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 3*u + 4. Let b(v) = -v**3 + 29*v**2 + 37*v - 102. Let c be b(30). Suppose c = 2*d + 36. Calculate the lowest common multiple of d and n(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1279*d**5 + 530*d.\nAnswer: -25580*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0*c**3 - 199\/24*c**4 - 19\/12*c**5 + 0 - 357*c**2 + 0*c. What is the second derivative of a(b) wrt b?\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/65768 or 1?\nAnswer: 15\/65768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 688, 1407, 2126?\n\"Answer: 719*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43652, -174595, -392834, -698369?\nAnswer: -1091200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69350*c + 21*c**3 + 19208*c - c**2 - 1 - 20*c**3.\nAnswer: c**3 - c**2 + 88558*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*w**4*x**2 + 3812*w**4 - 19*w**3*x + 2*w**2*x**2 - 27*w**2*x + 258*x**2 + 93*x wrt w.\nAnswer: -336*w*x**2 + 91488*w - 114*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/5 + 29*a**3\/5 + 154*a**2\/5 = 0. Calculate a.\nAnswer: -22, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.18652 rounded to 1 dp?\nAnswer: 21.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102 - -109 - (-4 - -3 - -5)) + -71?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 9*i - 2. Suppose 5*k = 711 - 81. Suppose 118*b = k*b + 56. Give s(b).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 2062*z - 138255. What is b(65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405554?\nAnswer: 2, 202777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 - 4*n**2 + 0*n**2. Let i(z) be the third derivative of -3*z**2 + 0 + 0*z**4 + 0*z + 0*z**3 - 1\/60*z**5. What is b(i(p))?\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 11:39 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o = 28*o + 8*m + 33, -8*o = -4*o + 2*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**31)\/(c*c**(-28)))\/(c*(c*(c*c*c**23)\/c)\/c*c\/c**5))**(3\/20) assuming c is positive.\nAnswer: c**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*q**2 + 58*q**2 + 15*q**3 + (q**2 - 3*q**2 - q**2)*(22*q - 317 + 317) to t*q**2 + w*q + j + v*q**3 and give v.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = 2*d + 3*x, 2*d = 7*d - x + 1005. Is 3 a factor of (-3)\/(-9) + d\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + p**2 + 1. Let s(o) be the third derivative of -o**4\/24 + 3*o**3\/2 - o**2. Let k = -17 + 26. Let r be s(k). Calculate i(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -731026 (base 8) to base 13.\nAnswer: -86318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20964 - 20960. What is the remainder when 1 + 1 + 0 - -17 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 3.2 (c) -3\/2 (d) 1\/258140 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:50 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2122102011002 (base 3) to base 2.\nAnswer: 101010111001010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -11 + (7 - -6) + -46 - -8?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3563, -8255, -14077, -21029, -29111, -38323, -48665?\nAnswer: -60137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/84)\/((-1)\/9). What is the nearest to -1\/2 in u, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170981494 a multiple of 874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35250 + 17622 + 12*g + 17628.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 3 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 1:09 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13219 - -13226. Let m(u) = -u**2 - u. Let h = -3 + 1. Let i be ((-7)\/21)\/(h\/18). Let q(j) = 3*j**2 + 3*j - 1. Calculate b*m(f) + i*q(f).\nAnswer: 2*f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18619299*w**2 - 403306*w + 22 wrt w?\nAnswer: 37238598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-808)\/(-1515))\/((-4)\/(-6))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8410234l?\nAnswer: 841.0234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -1\/10, -78, -35?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 80. Solve 5*o = -6 - i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 0*j + 2*j + 5623, -4*j - 20 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -270413*p**2*r + 64*p*r + 2*p - r - 3646 wrt p?\nAnswer: -540826*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4170)\/(-1251)*2\/4. Let m(f) be the first derivative of -p*f**3 - 21\/2*f**4 + 0*f - 6 + 0*f**2. Find the third derivative of m(g) wrt g.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 971168.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8)\/b*(b*b*(b\/(b*b**7))\/b)\/b)\/(((b**(2\/13)\/b)\/b)\/b**(-2)) assuming b is positive.\nAnswer: b**(-210\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82492030.\nAnswer: 2, 5, 23, 59, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 973.6972 - 972. Let y = -0.38 - -2.08. Let g = y - a. What is g rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**13*w*w*w**(-8))\/(w**(2\/3)\/((w\/w**(-2\/21))\/w)) assuming w is positive.\nAnswer: w**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 17) + (-14 - 0) + (425 - 460).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 - -169. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7948?\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 4. Suppose c = t*c - 240. Suppose 8*u = 5*b + 7*u - 455, -2*u = b - 80. What is the highest common factor of c and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 - 6*f**2 - f - 1. Give s(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(2*sqrt(144) + sqrt(144) - sqrt(144)))\/(sqrt(8)*1*3))\/(((sqrt(54)\/sqrt(3))\/sqrt(3) + sqrt(726) + -1*sqrt(726))*4) + -4.\nAnswer: -4 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 816 - -3?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -553*w + 17696. Let l be i(32). Factor 3\/4*s**5 + l*s + 0*s**2 - 3\/2*s**3 - 3\/4*s**4 + 0.\nAnswer: 3*s**3*(s - 2)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 10:20 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 174567149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**3 - 5*j**3 + 0*j**3 + (-2*j**2 + j**2 + 0*j**2)*(-j - 4*j + 3*j) + (-j - 3*j**2 + j)*(41*j - 23*j - 17*j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 755 = -5*r - 6*a, -r - 2*a = -153. List the prime factors of r.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -425 divided by -676\nAnswer: 425\/676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 3:23 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 11:41 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 536*a**2 - 10258*a - 159291. Determine w(555).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -34, 0.3, 712, 2, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Suppose 0*j = -n + 2*j, -5*j = -3*n + 2. Let f be v(n). Suppose -12 = -f*s + 68. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3 + sqrt(1100))**2*3)*-1.\nAnswer: -3323 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 10. Let c be 3\/6*z - 5. What are the prime factors of c\/(-3)*(-105)\/(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j = -148 - 68 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o\/(o*o\/o**(-14)))\/o*o**(17\/3) assuming o is positive.\nAnswer: o**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/270 and -85\/3607974.\nAnswer: 54119610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*g + 4*l, 0 = -g + 4*l + 3. Suppose 0 = -5*p - 7*i + 3*i + 213, 3*p - 126 = -g*i. Calculate the greatest common factor of p and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63010823?\nAnswer: 17, 23, 29, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkqieqk. Give prob of sequence qiqk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2648541 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.98724087 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 39. Let v = s + -9. Let i = -2 + v. What is the remainder when 5 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000011011100010 (base 2) in base 10?\nAnswer: -67298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 154\/233 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 28 (b) 2\/5 (c) -4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**3 - 14*w**2 - 14*w - 9. What is a(-5)?\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 33 + 97 + 81 = 1 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3923 less than -36335005?\nAnswer: -36331082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1115 + 72*b + 57*b - 518*b - 480*b wrt b?\nAnswer: -869","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/165)\/(12\/(-18)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/73 (c) 32.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12582?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 0 - 3*l**2 + 0*l**3 - 1\/6*l**5 + 0*l + 0*l**4. Let h(n) be the second derivative of n**4\/4 - 317*n - 2. What is h(u(i))?\nAnswer: 300*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -131210 (base 4) to base 12\nAnswer: -1118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 186562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l - 1 - 3 + 7*l**2 + 3 - l**2. Let f(b) = 5*b**2 + 10*b - 1. Let p(v) = -7*f(v) + 6*q(v). Calculate p(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/48)\/((-5)\/(-10)))\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42117408 divided by -144?\nAnswer: 292482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -667 + -40574?\nAnswer: -41241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 6 = -f, -11 = -5*y - f + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10302 and 6528?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -19, 0, 1\/4, -59 in increasing order.\nAnswer: -59, -19, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4 - 20. Let w(q) = -q - 1. Let y be w(i). Let g(c) = -1 - 2*c**2 + y*c**3 + 0 + 4*c**2. What is g(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n - 2. Let r(h) be the first derivative of -4*h**2 - 3*h - 26. What is 5*r(i) - 6*z(i)?\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -282, -692, 2.\nAnswer: -692, -282, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t - 4. Let a(u) = -2*u**3 - 16*u**2 - 18*u - 26. Let w be a(-7). Let p(s) = -124*s**w - 131*s**2 + 257*s**2 - 4*s + 4*s. Determine p(h(r)).\nAnswer: 72*r**2 - 96*r + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f + 31992 + 31987 - 63975. Let m be (1 - -2) + 1 + -1. Suppose 2 = 2*i - 2*v, -5*v = -3*i - 0 - m. Let n(l) = -l - 1. What is i*n(p) + w(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9772, 3837 in ascending order.\nAnswer: -9772, -5, 3837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-7*g + 2*g - 2 - 10*g) to the form y*g + j and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9*(-8)\/684 + (-25)\/(-57). Let u be (-1)\/3*6\/2. Which is the nearest to -0.1? (a) -0.5 (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - 3*a**3 - 14*a**3.\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 633*i**3 - 23 - 5017*i**3 - i**2.\nAnswer: -4384*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193764639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -1 - (1 + -6). Let f(n) = n**3 - 5*n**2 - n + 11. Let h be f(5). Let y be (6\/(-7))\/(h\/(-21)). Solve g*i = y*i + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3 + 116*r**2 - 376*r + 256 = 0. Calculate r.\nAnswer: -32, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -91. Let l = 85 + p. Does 28 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-143)*6\/(-24)*2*3978\/117?\nAnswer: 34\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -104\/14355 and -67\/130065?\nAnswer: 4292145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47*(-1)\/145 - 156*(-167)\/(-43420).\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 393646835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + h + 18, -5*s + 24 = -2*h + 4*h. Suppose 5*j = 3*c + 348, 232 = 3*j - 0*c + s*c. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.957 + 2.047. What is the second smallest value in r, -2\/11, -0.1, -3\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 638097987 to the nearest integer?\nAnswer: 25261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3416 or 3418?\nAnswer: 3418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -145*d + 1. Let f(u) = 73*u. Let j(o) = -5*f(o) - 3*r(o). Let t(c) = 23*c - 1. Let x(p) = -3*j(p) + 8*t(p). Is x(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 5\/8*x**4 + 3\/40*x**5 + 33*x + x**3 + 0 + 0*x**2. Factor g(l).\nAnswer: 3*l*(l + 1)*(l + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69 + 10b6?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 1:44 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679 at most 2676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/275 + 267\/1100. Sort -2\/5, v, -0.1 in increasing order.\nAnswer: -2\/5, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 - 259 + 598)*(2*d**3 + 0*d**3 - 3*d**3) + 8*d**3 - 5*d**3 + 5*d**3 + (2*d - 2*d - 2*d)*(-2*d**2 + 0*d**2 + d**2).\nAnswer: -203*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 - 4*z. Let k(b) be the third derivative of b**5\/30 + 1551*b**2. Give h(k(f)).\nAnswer: 16*f**4 - 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3240555 + -122?\nAnswer: 3240433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 3 - (-10 + -11)) + (11 - 56).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*f**3 - 66*f**3 + 104*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1721592 is divided by 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*d - 30*d + 1200 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -190670.13 - -0.22\nAnswer: -190669.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2035*f + 67146. Calculate p(-33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (286\/(-65) - -10)\/(42\/(-15) + 3). Solve 206*p - x = 220*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*(j*j**(4\/21)*j)\/j*j\/j**45 assuming j is positive.\nAnswer: j**(-857\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*d + 3376 = -435*d - 509 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microsecond in nanoseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u + 120 = -u, -4*q + 17*u - 24 = 21*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 5*v**2 + 7*v + 2. Let h be j(6). Suppose 0 = 4*x + 4 + h. Find the common denominator of 2 + x\/18 - 1 and 85\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -34 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51809, 103595, 155381, 207167, 258953, 310739?\n\"Answer: 51786*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -18*c - 369. Determine l(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*v - 15107 + 30221 + 418*v - 15113.\nAnswer: 461*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(612) - (4 + -1 + sqrt(612)) - sqrt(612)))**2 + 3.\nAnswer: 96*sqrt(17) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 96 + ((-8)\/(-8))\/(1\/(-1)). Suppose q + 361 = 3*w - p, 2*p + 152 = w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w - 60. Suppose 4*j = -0*j + 4*b + w, -4*j - 5*b = -39. Suppose -j = -2*m + 10. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/2)\/((-240)\/16*18\/(-2322))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -157*n**2 + 9*n + 9. Let c(x) = -235*x**2 + 14*x + 14. Let h(q) = 7*a(q) - 5*c(q). Let g = -12 + 16. Is h(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4499255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.05 and 0.021?\nAnswer: 0.04305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 1. Let f(s) = -30*s + 4. Give f(m) + 3*x(m).\nAnswer: -33*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -6*a**4 + 69*a**3\/2 - 51*a**2 + 45*a\/2 = 0.\nAnswer: 0, 1, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*u = 22*u + 205 + 135 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 times 23?\nAnswer: 1932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 1) + (-8 - -2). Is 4\/(-8) + (-82)\/r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaaaavvavvvvaav.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -4*m - 0*m + 4*a, a = -2*m - 21. Let d(v) = v**2 + 9*v - 17. What are the prime factors of d(m)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - w**2 + w - 2. Let k(t) = -40*t**3 + 168*t**2 + 20*t - 8. Let b(v) = 4*c(v) - k(v). Solve b(o) = 0 for o.\nAnswer: -1\/11, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2431 divide 959730932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 2, 4, 524\/9, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 513409 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8\/11 (b) -0.4 (c) -0.1 (d) 1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Let y be 21\/6 + (-9)\/6. Is 2511\/45 - y\/(-10) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/160?\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 352350 and 40500.\nAnswer: 3523500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16898 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 z when four letters picked without replacement from kzzzzzk?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/8 + -1)*796\/(-8701275)*-265?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2*c + 3\/4*c**3 - 9\/4*c**2 + 18.\nAnswer: 3*(c - 4)*(c - 2)*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjww when four letters picked without replacement from wwjjvwvvwjwvv?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*l + 9 = 11, -5*a - 2 = -2*l. Solve a = -3*m + m + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 2*h - 10)*(3 - 6 - 7)*(-h + 3*h**3 + h).\nAnswer: 60*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4821544 is divided by 1209.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjpr when four letters picked without replacement from {j: 1, d: 2, p: 1, m: 1, r: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 5*r + 53, -3*b = -2*r - 0 - 11. Let w(u) = -3 - u**2 + b + u - 6*u. List the prime factors of w(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-32)\/48*(-18)\/8*-9.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(4\/12 + 0). Let q be (2 - 2)\/(y\/3). Is -8\/23 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168300 divided by -9900\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((11*(-14)\/(-154))\/(2\/(-4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 813862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(15\/9) - -2. Let u = -2 - -3. Sort k, u, -4.\nAnswer: -4, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78269*l**4*o + 9*l**2*o + 145*l*o - 37*l + 2*o + 19 wrt l?\nAnswer: -939228*l**2*o + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 7 = -2*g, 2*n - g - 21 = 2*g. Solve n*w + 15 = -3*c, -2*c + 6 = 5*w + 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 210*v**2. Let n(d) = -30*d**2. Give -3*b(j) - 20*n(j).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14575 is divided by 691?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6130*o**6 - 11676*o**4 - 881*o**2 - 702*o + 172.\nAnswer: -735600*o**3 - 280224*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*a**5 - 895 - 435*a**5 + 171*a**2 + 895 wrt a.\nAnswer: -24300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {h: 2, k: 3, p: 1, x: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10081, -21636, -33193, -44752?\nAnswer: -56313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56082 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6432, -53011, -179440, -425643, -831544, -1437067, -2282136?\nAnswer: -3406675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-56)\/21 - -3)\/(2\/42). Suppose -234*t - 216 = -252*t. Solve 4*k = g*k + t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -191, -181, -165, -143?\n\"Answer: 3*o**2 + o - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*a - 1 = 2, -4*q - 5 = 5*a. Suppose 0 = -x - 5 - q. Suppose -y + 292*b - 296*b + 28 = 0, 0 = -5*y + 2*b - 36. Sort 71, y, x.\nAnswer: x, y, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3*(-4)\/(-882)*-33)\/((-972)\/2835) and 0\/1 + 50\/165.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2320707592.\nAnswer: 2, 7, 43, 107, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01489832135 to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339491 is divided by 14142?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00311349088 rounded to 6 dps?\nAnswer: -0.003113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 107 = 2*m, m - 59 = -3*a + 22. Let d = 120 - 5. Suppose 3*p + 2*p - d = 0. Calculate the remainder when m is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21252 = 8685*i - 8223*i for i.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.54485715 rounded to one dp?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2018*c**2 + 0*c - 2 + c - 2017*c**2. Let m(g) = -68*g**2 + g - 21. Let n(w) = -m(w) + v(w). What is the derivative of n(f) wrt f?\nAnswer: 138*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -15*t + 36. Calculate the least common multiple of 30 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*w + 4*a, 5*w + 5*a = 0. Solve -m - 3*u + u = -11, -4*m + 3*u + 11 = w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 - 145. Let l(f) = 18*f - 17. Let t be l(6). What is the highest common factor of r and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3437028 and 36.\nAnswer: 3437028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -719 - -10786\/15. Let x(u) be the third derivative of 0*u + 0 - 4*u**2 + 0*u**3 - c*u**5 + 0*u**4. Let r(l) = -2*l**2. Give r(x(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 192186, 768777, 1729762, 3075141, 4804914, 6919081, 9417642?\n\"Answer: 192197*k**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 3\/22, 5 in descending order.\nAnswer: 5, 5\/2, 3\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 + 30\/4. Suppose 0 = 2*p - 21 - k. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 0*t**2 - 1\/2*t**4 + 0 + 0*t**5 + 0*t**6 + 0*t**3 - 2*t + 2\/21*t**7. Find the third derivative of g(h) wrt h.\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -1, 5, 0.2, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 2, y: 2, q: 5, c: 2, b: 1}. Give prob of sequence xb.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(648\/(-48)))\/(3*3\/162). Solve 5*v + 10 = -t*n, -12*n - 3 = v - 11*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68)*-3 + sqrt(102)\/(-2*sqrt(6))))**2.\nAnswer: 2873\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 10954274.\nAnswer: 5\/10954274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u - 4*u**2 - 53*u**3 + 28*u + 3*u**2 - 10*u - 6*u to the form b*u + i + s*u**2 + v*u**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-2)\/5) + 1. Let i = 93847.4 - 93847. Which is the closest to -0.1? (a) h (b) i (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.132525 - 1128.232725. Let r = v - -1128. What is r rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*a - 8 = -f, -a + 2 = 0. Let b = 229 + -179. Suppose 5*z = 3*c - 0*z - 53, 0 = -2*c - f*z + b. Calculate the remainder when 82 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75.3 + -75. Is -8 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k. Let h(t) be the second derivative of 11*t**3 - 2*t**2 + t - 174. Give g(h(j)).\nAnswer: 66*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/21 - (-15)\/(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1720 and 101\/160304.\nAnswer: 801520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from {i: 2, c: 1, g: 4, o: 1, m: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -327*b**3 + 465821*b + 485063425?\nAnswer: -981*b**2 + 465821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*l - 234*l + 120*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 99.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, 1 p, and 1 x when four letters picked without replacement from {x: 2, p: 1, m: 1, k: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -740 divided by 10?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5022 - -178. Let c = 19844 + x. Suppose -2*g - 2*a = -7*a - 30000, a - c = -g. What is g rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 9:47 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-15 - -4) - 0 - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 26. Suppose j = 3*g - 0*g - 267. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1960354.\nAnswer: 2, 11, 89107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:23 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-6*1*sqrt(121))\/sqrt(11) + 5)**2.\nAnswer: -120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22569179*p**3 - 9157708*p.\nAnswer: -135415074*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -5, -2, -1\/5, 2480?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169380343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -141*d. Suppose 0 = 3*w - 3, 12*o - 9*o = 4*w + 161. Let a(h) = 53 + 49 - 157 + o + h. Give a(k(b)).\nAnswer: -141*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o - 5. Suppose 3*n = -3*t, -29*t = -34*t + n - 24. Let v(w) = w. Determine t*v(p) + g(p).\nAnswer: 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Let z be y\/8 + 21\/12. Suppose 0*p + 3*p = 3. Calculate the highest common divisor of p and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 6*h + 7. Let y be (-2)\/(-4) - 33\/6. Let s be n(y). Factor -i**2 + 4*i**3 - 2 - s*i - 8*i**3 + 11*i - 2*i**2.\nAnswer: -(i - 1)*(i + 2)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -867, -934, -1001, -1068, -1135?\n\"Answer: -67*h - 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*-9*36\/(-81).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 37*w**3 + 174*w**3 - 3.\nAnswer: 211*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 5*w - 4. Let k be z(3). Suppose 7*a = k*a + 5. Does 20 divide (-1)\/a + 162\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8510780 rounded to the nearest 100000?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -949 - 2?\nAnswer: -950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 38883.64ml?\nAnswer: 38.88364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 5. Is -14 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/((-21)\/(-78)))\/2. Let t = 13 - k. Suppose t = -5*g + 62 + 88. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48014?\nAnswer: 2, 24007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6276314701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*s + 54*s + 813 + 362 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x + 213. Calculate j(194).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 7\/4, 5.\nAnswer: 1, 7\/4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -65 in decreasing order.\nAnswer: 4, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6672 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 1\/2*j**2 - 1 + 4*j. Let c be t(-4). Solve -n + 2 = -c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.06, 1, -23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 14\/3*i + 20\/3 - 28\/3*i**2 - 2*i**3 = 0.\nAnswer: -5, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2. Let c be (-10)\/(-45) - (-16)\/9. Suppose -4*j + 6 = c*j. What is the smallest common multiple of z(-3) and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 8 = -0, 4*q - 3*l - 14 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1975 or 2893?\nAnswer: 2893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/21*-55*110\/(-57475)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/4 - 0) + (-27)\/18. What is the nearest to 65 in x, 3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1)\/v*v*v*v*(v\/v**(-2\/3)*v)\/v*(v**(1\/5))**(-8))**(-12))**42 assuming v is positive.\nAnswer: v**(-5208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/20323865 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000065604 to 7 decimal places.\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - i - 14. What is x(0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77566\/39 - -1989. Let h = -6\/13 + y. Which is greater: h or -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30698192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 13*t - 20 = 0. Let f(b) = -3*b - 2. Let v(r) = -r**3 - 7*r**2 - 4*r + 3. Let o be v(-6). Let q(z) = 11*z + 9. What is o*f(a) + t*q(a)?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38 and -939815.\nAnswer: -35712970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -0.3, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1731328 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 2\/3*q**3 + 0*q**2 + 0*q + 2. Let o(t) = -t. Give r(o(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 389 - 379. Sort 0, -0.1, z in descending order.\nAnswer: z, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1357*v + 233. Let x be w(0). Solve x*b = 236*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 115*r - 383 + r**2 + 114*r + 72*r**3 - 362*r**3 - 229*r wrt r?\nAnswer: -870*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 171496 and 0.9?\nAnswer: 154346.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*1*-1)\/(sqrt(60)\/(-1*sqrt(972))).\nAnswer: 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) - 9\/(-6). Suppose 9 = 3*k - 3*t, -k + 2*t = -2 - o. What is the greatest common divisor of 18 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**3 - 15*n**2 - 8. Let l(c) = -3*c**3 + 7*c**2 + 4. Let v(k) = -2*i(k) - 5*l(k). Let d(x) = x**3 + x**2 - 1. Determine -4*d(b) + v(b).\nAnswer: b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/42)\/((-3)\/3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35445.427 rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-20)\/(-6))*2\/2. What is the third smallest value in 11, -0.5, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -240 - -403. Let g = -162.9999512 + p. Round g to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x + 2*a - 22 = 0, -2*a = -3*x + 2. Is 9 a factor of 7\/28 + 11\/x - -133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 11*r + 20. Let x be k(3). Let w be ((-1)\/(-3))\/(x\/60)*-1. Find the second derivative of 55*m**5 - 38*m**5 - 4*m - 38*m**w wrt m.\nAnswer: -420*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((47 + -50)*1\/3 + -3 + -14)\/7\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 51.84095m?\nAnswer: 0.05184095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-369)\/81)\/(-16*(-4)\/(-576))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 969.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 877.45309 rounded to 1 dp?\nAnswer: 877.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 461, 1039, 1849, 2891?\nAnswer: 4165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52, 209, 470, 835?\n\"Answer: 52*s**2 + s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 14) in base 11?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 12*z + 10*z + 205387 = 0. List the prime factors of z.\nAnswer: 7, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000223535367 rounded to seven dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 - (-9 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -157920920 to the nearest one hundred thousand.\nAnswer: -157900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q - 715 = -23*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 + 1. Let t be r(-1). Suppose 0 = -3*u + t*q - 27, u - 4*q = 4*u. Let a = 7 + u. Solve 2*b + 3*b = -2*c + 26, -a*b + 27 = 5*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 10000?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1551 = 3*j - 2205. Suppose j = 4*t - 0*t + 4*p, 2*t - 591 = 5*p. Suppose 0 = -v + 5*v - t. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 552735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 9*v**2 - 2*v - 8. Let h be r(-9). Solve -5*b = -4*m - 1, 3*b = -2*b - 5*m + h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -221221022?\nAnswer: 221221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 32070.\nAnswer: 865890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 734 or 2?\nAnswer: 734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/6*1*1\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2147*y + 147 = 2168*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30968037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/16 + -1 - 13\/(260\/(-40)). Let x = 17315\/8 - 2161. Factor 33\/4*o**2 + 9*o + f*o**4 + x + 3*o**3.\nAnswer: 3*(o + 1)**2*(o + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -693282 or -11785800\/17?\nAnswer: -11785800\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 15*w - 12*w**3 - 1\/3*w**4 + 0 - 162*w**2. Factor y(k).\nAnswer: -4*(k + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 + -144c?\nAnswer: -141b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-444)\/84 + 2\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n - 2*w = -34*n - 13, -5*n = -2*w + 19. Put -14, n, -0.7, 2, -2 in increasing order.\nAnswer: -14, n, -2, -0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2. Let v(z) = -8*z**2. Let j(n) = 6*s(n) - v(n). Let r(b) = 31*b - 4. Calculate r(j(l)).\nAnswer: 62*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 8456 = -f + 4*f, 3*f - 8474 = -5*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/42 - (-208)\/(-14) - 2145\/(-130)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c**2. Let o(g) be the second derivative of 5*g**4\/12 - 52*g. Calculate o(k(r)).\nAnswer: 500*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000019561 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5 + 2*n**4 - 4*n**3 - 2*n**2 + 3*n = 0. Calculate n.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000392078 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281358915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**5\/120 - 3*j**3 + 11*j. Let m(x) be the second derivative of g(x). Let l be m(1). Which is smaller: -2\/55 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2*a + 69. Let r = 24 + a. Let y = -10.8 - -2.8. Which is smaller: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 28\/9 (b) 3 (c) 28 (d) -5 (e) -3\/8 (f) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -375 (b) 0.3 (c) -3.8 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6562, -13409, -20256, -27103?\nAnswer: -33950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9548 is divided by 8830.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122 - 116. Let o(d) = -l + d**2 - 12*d + 2 + 7 + 6. What is o(7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.12809um to millimeters.\nAnswer: 0.03312809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14601696 + -29.\nAnswer: 14601667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 17950 + 13*r + 17950. Let m(h) = -3*h. Calculate m(f(z)).\nAnswer: 6*z**2 - 39*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:21 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-14 - -8)) + (8 - (5 - 1)) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 334, 221, 24, -263, -646, -1131, -1724?\n\"Answer: -m**3 - 36*m**2 + 2*m + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 306790795 to the power of 1\/2, to the nearest integer?\nAnswer: 17515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(153) + 2*sqrt(153) - sqrt(153)) + (sqrt(153) + -2*sqrt(153) + sqrt(153))*-3)\/(sqrt(441)*-2 - 2*sqrt(27)\/sqrt(3)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51.762 + 51.834821. Let v = -0.08686 + 0.01386. Let s = r + v. Round s to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 2311?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {x: 7, h: 2}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/19, -1, -1\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066402579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313\/12*p**3 + 59\/12*p**4 + 445\/12*p**2 + 0 - 1\/12*p**5 + 16*p = 0. What is p?\nAnswer: -3, -1, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1703326 divided by -2.\nAnswer: 851663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**6*u**3 + 3556*j**3*u**3 - 12*j**2 + 5*j*u**3 + 17*j*u wrt j?\nAnswer: 480*j**3*u**3 + 21336*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 + (-4 - (-4 + 1)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19*-0.0777\nAnswer: -1.4763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 896459 * 0.017\nAnswer: 15239.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -7 - 4) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 8*u**2 - 2*u - 1. Give j(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002930489024 rounded to 7 dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.88486 minutes in days?\nAnswer: 0.177003375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -85992*o**2 - 1796042 wrt o.\nAnswer: -171984*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*(sqrt(13) + -3 + -2 + sqrt(13) - 6*(sqrt(65)\/sqrt(5) - sqrt(13))).\nAnswer: -30 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -54291, 319, 2, 4 in decreasing order.\nAnswer: 319, 4, 2, 0, -54291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43835*j - 22702*j + 66530*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -208.23.\nAnswer: -207.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125261989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -31.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 113313021 (base 4) in base 14?\nAnswer: 27893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2385\/318*(-2)\/(-6))\/(165\/5874).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.05.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3222 and 106969326.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*x + 2, -4*q - 5*x - 22 + 17 = 0. Suppose 5 = 4*y - 3. Solve s + y + q = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24249 + -12603. List the prime factors of s.\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 87\/4 of a meter?\nAnswer: 2175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36316960.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126159, -504641, -1135445, -2018577, -3154043?\nAnswer: -4541849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**4*q + 17*j*q**2 - 91*q**2 - 2 wrt j?\nAnswer: 4*j**3*q + 17*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5727*t. Let r(i) = -45*i**2. Determine u(r(y)).\nAnswer: -257715*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 8*z**2 - 2. Let q be c(8). Put 3, 2, q in increasing order.\nAnswer: q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -24019?\nAnswer: -24019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -34d5a (base 14) in base 16?\nAnswer: -1f754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.42 and -107?\nAnswer: -44.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56\/7631 - 188232\/53417. Let s = 42\/13 + p. Sort 1\/4, s, 4 in increasing order.\nAnswer: s, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 * 2.6\nAnswer: 140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 11:47 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(539) - (sqrt(539) + 1 + -2*sqrt(539) + sqrt(539))**2) + (sqrt(33)\/sqrt(3) + 3)*-3).\nAnswer: -60 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 14*l + 0 + 13*l**2 + 17 - l**3 + 9. What is the remainder when 129 is divided by b(14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 3*s**3 + 2*s**3 + (2*s + s - 5*s)*(302*s**2 + 393*s**2 - 246*s**2).\nAnswer: -892*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1017.55017 to the nearest integer.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 14*z**3 - 14*z**2 - 29*z - 63. Let s(i) = -5*i**3 + 5*i**2 + 10*i + 21. Determine 6*k(y) + 17*s(y).\nAnswer: -y**3 + y**2 - 4*y - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 227139?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 160 - 159.58. Let r = w + -0.02. Which is the biggest value? (a) r (b) -1\/19 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*c + 5*c = -344, -4*q - 3*c = -289. Find the third derivative of -q*x**4 + 26*x + 109*x**2 - 108*x**2 - 28*x**4 wrt x.\nAnswer: -2352*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**2 + 6 - 3*k + 0*k**2 + 5 - k**3. Let l(f) = f**2 + 8*f - 184. Let p be l(10). Is 2 a factor of h(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*c - 20*c + 3. Sort -2, c, -2\/21.\nAnswer: -2, -2\/21, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 2*b - 2. Let j be w(-2). Suppose 2*z - 3*m = -2*z + 18, 3*m = -j. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 941738088 to the power of 1\/2, to the nearest integer?\nAnswer: 30688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 34. Let q(w) = -w**3 - 18*w**2 + 12*w - 18. Let y be q(p). Round y to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)*u)**(1\/39) assuming u is positive.\nAnswer: u**(-5\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/21 and 151\/4496118.\nAnswer: 31472826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 776?\nAnswer: 5432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4)\/10 + (-164)\/(-10) and 2\/(-9) + (-550)\/(-45)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 16*s**2 + 18*s - 15. Let d be f(17). Let n be (-1 - (-2 + 1)) + d. Let r(v) = -v**3 + 2*v**2 - 2. Calculate r(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.71 + -7.894. What is j rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -17. What is the closest to -0.14 in h, -0.06, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -4. Let v be 1 + 0 - (13 + t). Solve v = -3*l + 2*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**3 + 3*v**3 + 3*v**3 + (114 - 277 + 123)*(-2 - 1 - 1)*(-1 + 1 - 2)*(-2*v**2 - 5*v**3 + 2*v**2).\nAnswer: 1602*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 3*f**2 + f + 4. Let s be n(4). Suppose -4*b + s = 4*t, 2*t - 4 = 4*b - t. Calculate the lowest common multiple of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Let i be z*((-5)\/(-2) - 2). Let g = -0.04 - 1.96. What is the second smallest value in i, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*n - 988 - 78 = 0 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4.0964222.\nAnswer: -4.0964222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 13*z + 4. Suppose 12*p - 351 = -15*p. Calculate c(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 760 and 540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence too when three letters picked without replacement from {q: 2, x: 1, t: 2, o: 2, c: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 3*n + n + (2 + 2 - 5)*(-n + 0*n - n) + 2*n + n - 2*n - 3*n + 5 - 5)*(2*n**2 + n**2 - 4*n**2).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202353?\nAnswer: 3, 37, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 17\/3758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2849 - -2851. Let i(d) be the first derivative of 16*d**q - 64*d + d**4 + 16 + 28\/3*d**3. Suppose i(l) = 0. What is l?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153835*r**5 - 4*r**2 + 211*r - 2 wrt r?\nAnswer: -9230100*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1b21 (base 14) to base 3\nAnswer: 20202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5183*w**4 + 1907*w**2 + 2712*w**2 - 1407*w**4 wrt w?\nAnswer: 90624*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 1. Let d(w) = -3*w + 2. Calculate 6*d(x) - 13*q(x).\nAnswer: -5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -32. Calculate the greatest common divisor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 1. Let n(i) = -i**3 - 6*i**2 - 2*i + 3. Let g(v) = -2*n(v) + 6*u(v). Factor g(q).\nAnswer: 2*q*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 998928486 a multiple of 5162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 185797 < -2168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -88 - -90 - (-3)\/(-2). What is the closest to -1\/3 in 0.25, 0, 2\/3, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + 5 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 10*m + 30. What is x(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*n - 9, u + n + 6 = 0. Let o be 4\/3*(-12)\/u. Solve -o*j = -0*j - 4, 5*v + 5*j = 30 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*a + 5 - 11.\nAnswer: -2*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 100572628 divided by -1742\nAnswer: -57734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) 0 (c) 1.1 (d) 2\/7 (e) 133 (f) -0.5 (g) 53\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 171591*j - 857880.\nAnswer: -3*(j + 5)*(j + 57192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3\/5 - 6513*t**2\/5 - 6528*t = 0. Calculate t.\nAnswer: -5, 0, 2176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (368 - 378)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - 17) + 40 - (-6 - -2) - 21?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**3\/6 - 7*n**2\/2 + 9*n. Let s(p) = -16*p + 19. Let x(z) = 3*z - 4. Let t(d) = 2*s(d) + 11*x(d). Give 6*r(a) - 7*t(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -c - 2*c + 36, 0 = 5*x - 5*c - 20. 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: Sort 77, -1, 3, 3810, 0 in decreasing order.\nAnswer: 3810, 77, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 12*v + 26. Let n(w) = 48*w + 112. Give 9*l(z) - 2*n(z).\nAnswer: 12*z + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfffvxxfffxfffxgggf. What is prob of sequence fxg?\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11*l**2 - 2*l + 7. Let s be k(9). Let y = s + -872. Calculate the remainder when (-142)\/3*(-3)\/2 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*v - 3. Let s be 12\/(-15)*5\/v. Suppose -3 = s*k + 1. Is k less than -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -9.9\nAnswer: -118.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 32. Let m(t) = 1. Let z(r) = -i(r) + 4*m(r). Let d be ((-11)\/(-3))\/((-1)\/(-3)). What are the prime factors of z(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1834 - -1566239\/854. Do y and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 526.84309 + -526.9. What is a rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, q: 5, d: 2}. What is prob of sequence dd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*g = -31, 0 = -0*g - 2*g - 4. Solve -8*k + t = -3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 149440 and 1544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -6) + 2*-3. List the prime factors of (-1 - g) + -1 + 16.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**4)**(-1\/32)*r**(2\/39)\/(r\/(r*r\/((r\/(r**15*r)*r)\/r*r))))**15 assuming r is positive.\nAnswer: r**(23285\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/4 (b) 643 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**2*h**2 - 29*d*h**2 + 296*d + 32*h**2 - h - 17 wrt d.\nAnswer: 4*d*h**2 - 29*h**2 + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/49)\/(3 - (-4)\/(-4)). Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 47 (b) 3 (c) 1130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 172 and 11.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 4*r + 6. Let m(f) = -2*f**3 + 12*f**2 + 4. Let p be m(6). Let j be d(p). Solve -j*i - i + 35 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 9*c**2 + c - 103. What is q(11)?\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 42 = -2*n, -2*n = 3*m - 0*m + 34. Let b be 2\/(-5) + (-216)\/30. Which is smaller: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3524399 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -299 != -262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1215243 and 225045?\nAnswer: 6076215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**7\/490 - d**6\/70 - d**5\/140 + d**4\/14 - 908*d**2. Factor s(y).\nAnswer: 3*y*(y - 4)*(y - 1)*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254399338?\nAnswer: 2, 627199669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 129\/2*92\/(-69). Let o = -52 - t. Suppose -4*h = -0*g - 3*g - 137, 5*h = g + 174. Is h <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-18) + 66\/36. Which is the nearest to 2\/3? (a) -1 (b) 3\/8 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/18)\/(14\/21)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15620 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 78\/30 + -2 - 12\/(-5). Let p be f\/27 - (-88)\/(-198). Let x = -26.49 - -0.49. Is p equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -476302*d**2 + 4317708*d?\nAnswer: -952604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -26*(-46)\/10 - (-6)\/(-10). Suppose -l = -2*u + 97. What is the greatest common divisor of 27 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 3. Let n be y(-13). Let a = -62 - -112. Calculate the greatest common divisor of a and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 9 = -6. Let x(p) be the first derivative of -p**4\/4 - 2*p**3\/3 + 3*p**2\/2 - 3*p + 15. Calculate x(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*s + 2 = 0, -2*s + 2 = n - 6. Suppose -1 - 3 = -n*b + c, -2*c = 0. Let o = 0 - 0. Which is bigger: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 5*f**4\/4 - 40*f**3\/3 - 95*f**2\/2 - 50*f - 365. Find v, given that u(v) = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**5\/20 - k**4\/8 - 2*k**3\/3 - 18*k**2. Let j(i) = -4*i**2 - 4*i - 6. Calculate -5*j(u) + 7*o(u).\nAnswer: -u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l - 2 - 5*l + 3 + l**2. Suppose -1 - 5 = 3*r. Let n be -2 - (r + 4 - -1). Calculate a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**4\/12 + 11*x**3\/6 - 3*x**2\/2 + 644*x. Let c(o) = -o**3 - 17*o**2 - o - 7. Let t be c(-17). Give d(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78537141?\nAnswer: 3, 47, 199, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/20*35685\/1098. Let g(p) = 2*p - 53. Let v(f) = -f + 26. Let i(d) = 6*g(d) + 13*v(d). Give i(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-14)\/(-21) + (0 - 10). Do -11 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-94)\/(-141))\/(-3*(-2)\/1197) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 6*m**2 + 6*m - 7. Let w be d(-7). Suppose -l + 6 + 12 = w. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*k - 62504 = 815*k for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 2:52 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = -2*t, 3*o + 2*t - 52 = 0. Suppose 5*m + 507 = o*m. Is 40 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12079.7*-0.1.\nAnswer: 1207.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 487636?\nAnswer: 975272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 3}. What is prob of sequence dd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 4271*w**4\/6 + 6061*w**2\/2 + 2857*w. What is the first derivative of s(h) wrt h?\nAnswer: 17084*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2410 is divided by 798.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (391*v**2 - 866*v**2 - 202*v**2)*(-v**3 - 2*v**3 + 5*v**3).\nAnswer: -1354*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1343463 and 44.\nAnswer: 5373852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*-2 - (-38 - -27). Let c = 3.5 - 2.5. What is the closest to c in -1\/4, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*d**2 + 28 - 28)*(-3 + 5*d + 17 - 10).\nAnswer: -45*d**3 - 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(108) + 5 + -3)*-6)**2 - (1*sqrt(18)*4)\/(sqrt(6)*1*2)).\nAnswer: 862*sqrt(3) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2. Let c(h) be the second derivative of h**4\/3 - 32*h. Calculate c(z(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*t - z, -5*t + 20*z - 16*z = 45. Let n be (12\/(-15))\/(-2 + (-8)\/t). Calculate the greatest common divisor of 18 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u = -92. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*p + 9*p + 2*p**3 + 8*p + 534*p**2 + 10*p - 143*p**2 to the form l*p**3 + a*p + x + j*p**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - 2*y + 4*y)*(91 - 43 - 49) - y - 4*y + 9*y as c + n*y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 9789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49212, 51012, 52812, 54612?\nAnswer: 56412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 1, a: 1, j: 1, l: 1}. What is prob of sequence lu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -0.4, 1\/7, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y**3 + 5288*y - 5288*y - 5*y**3.\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -6. Let l(h) = h**2 + 7*h - 10. Let v be l(m). Let a = -11 - v. Put -0.1, 3, a in descending order.\nAnswer: 3, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*i - 149*i - 186*i - 352*i + 36*i.\nAnswer: -752*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 888 - 1537*l + 1536*l - 887 - 4485*l**3 to n + d*l**2 + o*l**3 + i*l and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 10*v + 565 = 0, 5*t + 3*v - 1598 = -1455 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 360 - 360. Factor 0 - 1\/2*u**5 - 1\/2*u**4 + 0*u + t*u**3 + 0*u**2.\nAnswer: -u**4*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -8. Let t(y) = 2*y**3 - 29*y**2 + 16*y - 18. Let k be t(14). What is the highest common divisor of p and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/327?\nAnswer: -1\/327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 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: Sort -72\/11, -5, 0.5, -866 in descending order.\nAnswer: 0.5, -5, -72\/11, -866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 8 = -2*b - b, 2*b = -5*x - 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1818 - -2275. What is the remainder when 1382 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.154 - 0.059096\nAnswer: -0.213096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -25. Suppose 3*f - 2*a = -w, a = f - 0*a + 12. Let g = -7 - f. What is the remainder when 22 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -306 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**5\/60 - l**4\/3 - 3*l**3\/2 + 21*l**2\/2 - 6*l + 11. Let n(k) be the first derivative of d(k). Factor n(r).\nAnswer: (r - 9)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 + 6 = 0. Let z = 5 + x. Let v be 33\/(-270) + (-6)\/(-27). Which is the closest to -0.1? (a) v (b) z (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (460\/184)\/(-9*4\/(-1224)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/2465760 and 109\/3250320?\nAnswer: 71507040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/5)\/(17325\/2625).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 18 = -4*s - 5, -2*c = 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**3 + 11*f**3 - 11*f**3 + 18*f**3.\nAnswer: 31*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3)*(-15)\/2. Suppose -l = -3*j + j - h, -3*j = l + 20. Let t(u) be the first derivative of -u**4\/4 - 4*u**3\/3 + 4*u**2 + 7*u - 2. Give t(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/(1325\/(-280))*(-25)\/10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 - r - 5. Let j(m) = -15*m**2 + 242*m - 15. Determine -j(h) + 3*v(h).\nAnswer: 24*h**2 - 245*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/17 - 94560*q**3\/17 + 189126*q**2\/17 - 94564*q\/17.\nAnswer: -2*q*(q - 1)**2*(q + 47282)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:04 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 8*h + 16. Let d be o(5). Let v = 1.95 - -0.05. Which is the biggest value? (a) 0.4 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 7*m - 9. Let a be (-4)\/(-10) + (-915)\/(-25). Let q = -31 + a. Give f(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/5 - (-4)\/10. Let k(y) be the first derivative of 0*y + 1\/3*y**3 + 1\/2*y**2 + 2 - 1\/4*y**4. Let n(u) = u**3 + u**2 + u. Give x*k(h) + n(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -81. Let h be (-6)\/33 + (-2)\/(-11). Suppose -a + h*a + 8 = 0. What is the smallest common multiple of r and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 2:50 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y**3 - 8*y**3 - 23*y**3 - 11*y**3 + 35*y**3.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 199, 266, 295, 274?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 + 174. Let i(w) = -k + 72 - 28*w. Let b(m) = -m. Determine b(i(p)).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.03. Let q = -0.02956 + o. Round q to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (558 - 452 - 467)*(c**5 + c**3 - c**3 + (c**2 - c**2 - 2*c**3)*(-c**2 - c**2 + 4*c**2)) + 3*c**5 + 0*c**5 + 2*c**5.\nAnswer: 1088*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -203358*u + 2010*u**2 + 203358*u + (-3*u + 2*u + 0*u)*(-6 + 6 - u) as k*u**2 + r + v*u and give k.\nAnswer: 2011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -135a41 (base 14) in base 2?\nAnswer: -10100011010010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/5, -138, -1, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 12*f**2 - 29*f**2)*(0*f**2 + f**2 - 5 + 4).\nAnswer: -42*f**4 + 42*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5771.799 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1473, -813, -153, 507, 1167?\n\"Answer: 660*l - 2133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-2)\/(-1)))\/((105\/7)\/(-5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1698*j**3 + 3588*j**3 - 1900*j**3.\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {f: 4, s: 4, d: 3, k: 2, y: 2, w: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 18*t - 80. Let z be ((-9)\/6)\/(6\/(-28)). Suppose -5*x - j + 54 = 0, x - z*j = -3*j - 6. Calculate the remainder when f(6) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 4*o - 1 = m, 0 = -o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72540 is divided by 49.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l - 103. Determine o(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5 - 1\/5. Let y be ((-36)\/(-8))\/(t + -6). Let r = 4 - 1. What is the smallest value in r, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*(-1363 + 1269)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -20576*f - 102880. Let m be q(-5). Solve m - 9\/5*b - 3\/5*b**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -109*g + 867. Let k be t(8). Which is the biggest value? (a) -5\/4 (b) k (c) 0.5 (d) 10 (e) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2339*w - 90. Is s(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(121)*-2)\/sqrt(11) + -4)**2 - ((3*sqrt(880))\/sqrt(5) + -3).\nAnswer: 84*sqrt(11) + 1603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38880\/(-27540) + (-771)\/(-510)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 2)*(-5 + 3). Let m be (1\/q)\/(3\/36). Suppose 7*b = 5*b + m. Solve -5*z = -4*r + 13, -4*z - 10 = -b*r + 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*z - 16 = 0, y - 4*z - 9 = 12. Let m be (-1 - -2) + 2\/y. Solve c = m*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -4*u - 4*d, d = -5. Solve -j = j - u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614070 rounded to the nearest ten thousand?\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56452 (base 8) in base 11?\nAnswer: 16a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1408.2*-0.71.\nAnswer: 999.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 320406 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.1, -307, -5\/3, -1\/55, -2\/7?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779893521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, p: 4, n: 1, a: 1}. What is prob of sequence ap?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11946328 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6.4. Put 0.1, 1.4, y in ascending order.\nAnswer: 0.1, y, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 52 (b) -1 (c) 0.3 (d) -19362\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -2 + 0*l + 2\/3*l**3 + 0*l**2. Let v(k) = k. Give v(t(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 times 0.164?\nAnswer: -11.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -142298 equal to -142298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-7))\/((-260)\/2340).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 46. Let p(n) = n + 22. Let a be p(-8). What is the highest common divisor of t and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-6 - -3 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.122102 millennia in decades?\nAnswer: 812.2102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -16*a + 198. Suppose -2*q - q - 140 = -4*f, 0 = f - 4*q - 22. Let c be f\/4 + 1\/2. Calculate the highest common divisor of c and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*17\/(-204)*-5*10\/(-725)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1600 - -27755?\nAnswer: 31555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 = -11. Let l be 110\/a - 4\/(-6). What is the greatest common factor of l and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -12. Calculate the remainder when 72 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 13*k + 12. Let j be x(7). Suppose -j*p - p = p. Suppose 10 = 5*v - p. What is the lowest common multiple of v and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 46 = 3*i + 64, 0 = 2*i - 2*d + 72. Let r be (-12)\/(-30) + i\/60. Put r, 2\/3, -3\/8 in descending order.\nAnswer: 2\/3, r, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 16*h**2 + 8*h - 11. Let x(z) = 5*z**2 + 3*z - 4. Suppose g = 2*b - 6*b + 32, b = 3*g + 8. Give b*x(c) - 3*l(c).\nAnswer: -8*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 1987, -4, 88 in descending order.\nAnswer: 1987, 88, 15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -1 + 3. Let z(n) = 4*n**2 - n + 2. Let y(d) = 4*d**2 + 6*d - 5. Let j(w) = w**2 + w - 1. Let a(h) = 5*j(h) - y(h). What is x*z(q) - 2*a(q)?\nAnswer: 2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1989, -1988, -1985, -1980, -1973, -1964, -1953?\n\"Answer: k**2 - 2*k - 1988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - p**2 - 2*p - 1. Let w be u(-1). Let a = 0.04 + 0.06. What is the nearest to a in 0.1, w, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - ((2 - (-2 - 3)) + -4)) + -2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - r**2 - 2*r - 1. Let a(z) = 3*z**3 - z**2 - 2*z - 1. What is -5*a(c) + 6*v(c)?\nAnswer: -3*c**3 - c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 + (-1764)\/(-99) - ((-400890)\/33 - 2) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -971, -2036, -3103, -4172, -5243, -6316, -7391?\n\"Answer: -i**2 - 1062*i + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-10) + 1)*5. Suppose -s*d - 4 = -28. Suppose 4*o - 30 = -d. Solve k + o = 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d. Let u(n) = 71761*n - 86. Calculate u(f(b)).\nAnswer: 215283*b - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6152*x + 10. Let k(j) = 26708913*j - 43414. Calculate 21707*g(t) + 5*k(t).\nAnswer: 3101*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23121 = 87*v - 80*v. What is the hundreds digit of (v\/(-27))\/((-2)\/6) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/28 - (-2078)\/14. Suppose h - 190 = -z. Calculate the remainder when h is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/25288111 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 167554043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15456 and 5.\nAnswer: 77280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 51*j**2 - 12*j + 9. Let u be h(3). Suppose -3*v + 3*g = -u, -v + g - 142 = -2*v. What is the remainder when v is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -244 - -253. Suppose -155*m + 158*m = x. Solve -o = -m*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2346*k - 14078. Determine c(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/3, -71, -0.1, 3, 5, -2\/21, 1\/68?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2638*k + 367. Let j(h) = -12*h + 2. Let q(x) = -6*j(x) - y(x). Differentiate q(u) wrt u.\nAnswer: -2566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1908493, -1908238, -1907983, -1907728?\nAnswer: -1907473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 10) to base 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/21 and -41\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 31637, 63450, 95263, 127076, 158889, 190702?\n\"Answer: 31813*u - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14297754*k*n**6 - k*n - 245*k + 1348*n**2 + 1 wrt n?\nAnswer: -1715730480*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r. Suppose w + 2*i - 20 = -2*w, 3*i + 45 = 3*w. Let h(z) = -z - 1. Let p(t) = 12*t + 15. Let d(s) = 30*h(s) + 2*p(s). Calculate w*m(l) + 2*d(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2832845 and 16135.\nAnswer: 19829915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-20)*1)\/((-2)\/(-1)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108212933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21590802 to the nearest integer?\nAnswer: 4647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107 and 2874127.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 210553834045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8884317 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -101. Solve -v + h*v = -4*z - 12, z - 2*v = -3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**3 - 83*b**2 - 1746*b + 46. Give a(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1513144 is divided by 84062.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 343562 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1800 and -103\/300?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638411239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2372085 hours in minutes?\nAnswer: 14.23251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 193353*a + 2513592. Calculate z(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 79186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*b + 1 - 2, b - 3 = -2*s. Which is smaller: 2\/53 or s?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -3. Let a be ((-9)\/(-6))\/(3\/s). Is 121\/a + (-2)\/8 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 + z**4 - 5*z**4 + 12077*z - 12076*z + 5 + z**3 + z**4 as p + i*z**2 + o*z**4 + c*z**3 + y*z and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5090 - 11190 = -122*g for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1230289324 + 1230289344.29999706. Let q = 20.3 - c. Round q to seven dps.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(105)\/sqrt(7))\/(sqrt(5) + -3*(sqrt(5) + sqrt(5) + sqrt(60)\/sqrt(12))).\nAnswer: 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 0.014 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b\/(b\/b**(-1\/2))))\/b)\/b)**(-2\/27)\/(b**(3\/4)\/b**5))**10 assuming b is positive.\nAnswer: b**(2315\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**2 - d - 1. Let r(y) = -y**2 - y. Suppose 0 = -4*h - 3*t + 7 - 20, -2*t = 6. Determine h*w(f) + 4*r(f).\nAnswer: f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1850 by -370.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + -22 - (24 + (-14 - 61))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7905 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 93 = 3*t - 30, 4*t = -q - 20. Let r be (-3 - 1)*(-66)\/q. What is the remainder when (-4)\/(-22) - 163\/r is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 4*h - 9. Let y be x(5). What is the units digit of (-402)\/(y\/(112\/21))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 16*p + 1 = -15*p, 0 = 5*o - 2*p + 23 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -25*i**3 - 7*i**2 + 6*i + 56. What are the prime factors of g(-5)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/15)*(q*q*q**(-10))\/q*(q**(-2\/29))**(-39) assuming q is positive.\nAnswer: q**(-2803\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199 - 149. Let j = 50 - u. Which is bigger: j or 4.6?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.4 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41410 + -13051?\nAnswer: -54501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 7*u - 4*u + 5 = 0, -2*d + u = -3. What is the greatest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3250711*f*i**3 - 10*f + 3*i**3 - 14321*i**2 - 1 wrt f?\nAnswer: 3250711*i**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.80225 to 1 dp.\nAnswer: -31.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0389 times 395.4?\nAnswer: -15.38106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 10*r**2 + 8*r + 17 + 1 - 5*r**2. Let c be m(-16). Let v = c - 449. What are the prime factors of v?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -771*h + 6. Let r(i) = -2*i**2. Determine r(g(q)).\nAnswer: -1188882*q**2 + 18504*q - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.2. Let o = 2.9 - f. Let u be (6\/15)\/(-4 + 45\/10). What is the closest to 0.1 in u, o, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10467598 or 10467600?\nAnswer: 10467598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 29.05 and 484072686685?\nAnswer: 484072686655.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one halves of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -17, -39, -77, -137, -225, -347, -509?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 3*m + 5\/6*m**3 - 5*m**2 + 0. What is the first derivative of n(p) wrt p?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-3 - 44\/(-12)) + (-13)\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/3 - 2*o\/3 - 4 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - q = 0. Let m(b) be the third derivative of -1\/120*b**6 + 0*b**3 + 0*b**5 + 0*b - 1\/12*b**4 + q - b**2. Find the second derivative of m(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.4 + -5.4. What is the second smallest value in -12\/7, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + -0.06. Let t = s + -0.29. What is the smallest value in t, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-6\/11))**(-50))**(-17) assuming i is positive.\nAnswer: i**(14450\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i*i*(i*i**(3\/2)*i)\/i*i)\/((i*i\/(i\/(i\/(i\/(i**5*i)))))\/(i**(-2)*i)) assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbfbvbmb. Give prob of sequence bf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**5\/8 + d**4\/24 - 11*d**3\/3 + d**2. Let v(x) be the first derivative of o(x). Find the first derivative of v(b) wrt b.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 4 + 5 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -o - o. Let m be (-569)\/(-4) + (-1)\/o. Round m to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 4*n, 2*n + 3 = -y + 6*n. Suppose 8 + 17 = 5*k. Which is the nearest to y? (a) k (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 7 = -19. Suppose 2*h = i - 6, -r*h + i = h + 12. Let n = -0.36 + 0.76. Which is the third biggest value? (a) h (b) -1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/55 + -49\/165. Let y = i + 1\/6. Let h = 4.4 + -4.38. Is h less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 18*d**2 + 13*d - 44. Let o be h(-17). Suppose -3*j + o - 18 = 0. Solve -i + i - j*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from knkksosnkn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 17. Let m(d) = d**3 + 12*d**2 - d + 10. What is the lowest common multiple of 2 and m(c)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -2*o**4\/3 + o**3\/3 + 2*o**2 - 6410*o. Let q(s) = 9*s**2 - s - 3. Determine -2*d(j) - 3*q(j).\nAnswer: -11*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a**2 + 12*a - 9. Let t(j) = -j. Let p(f) = b(f) + 12*t(f). Let s(c) = 3*c**2 + 2. What is -2*p(h) - 9*s(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -302.6092 - 97.7126.\nAnswer: -400.3218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105521 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*s - 93*s + 15*s + 51*s.\nAnswer: 26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1591412030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*(3*j + 2 - j + 0) - j + j + j.\nAnswer: 7*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*x = 1460, 3*l + 1444 = 4*l - 3*x. What is the greatest common factor of 58 and l?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1822, 1826, 1830?\n\"Answer: 4*l + 1818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -78. Suppose 4*m - l = 3*x, -63 - 11 = -4*m + x. Let k = 27 - m. Solve k = 5*b - 3*b, 0 = -2*z + 3*b - 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (-60)\/27 - 1216\/(-1008).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14331 + -4534. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 21*l + 1. Let k(y) = 201*y + 10. Let j(i) = 10*d(i) - k(i). Let f(p) = -315*p. Give j(f(g)).\nAnswer: -2835*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.38 - 25.54. Let o = y - -55. Let w = o + -0.08. Which is the closest to -1\/3? (a) -1\/3 (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2374648.\nAnswer: 2, 296831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*x + 199*x = 798560. Does 62 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 882 = 3*u. Calculate the greatest common factor of 21 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 217, 334, 463, 610, 781, 982?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664989 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*m + 10 + 23 = 0, 2*m = -4*u + 18. Let w be -2 - (-1 + 2)*-3. Solve -w + 5 = u*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**3 - 1814*z**6 - 1893*z**6 + 3566*z**6 + 74*z**2 wrt z.\nAnswer: -16920*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 25*y**2 + 44*y + 471. What is z(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {q: 1, o: 1, v: 1, x: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2 + 3*s + 0 as g + v*s and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1744582 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 185773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 - 5*v**3 - v**4)*(5 + 8 + 2) - 3*v**4 + 5*v**4 - v**4.\nAnswer: -14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -962896, -962893, -962890?\n\"Answer: 3*o - 962899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131322122 - 1101?\nAnswer: -131323223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.3 + 1.7. Let n = j + 15. Let h be 1\/(2\/(4\/6)). What is the third biggest value in n, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5000537*q + 5000226*q = 40741 for q.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9251975 and 7725?\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -3 + (2 - 7) + -1 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117367 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6 - 10) + 0 - 2) + (-64 - -163)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/27 and 67\/42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 12:49 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**4\/3 + 706871*m**3\/3 - 4947999*m**2 + 103907293*m\/3 - 242449550\/3 = 0?\nAnswer: 7, 706850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8368 - -8366. Let p = -0.6 - -0.68. Let y = 5.92 + p. What is the third smallest value in y, -3, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165183 + 495576 + 4*z**2 - 165196 - 165197.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 + -2 - (-1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -35, -49, -61, -71, -79?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 e, and 2 j when four letters picked without replacement from ljlqlqjbelq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 77*v**2 - 133*v**2 + 3*v + 46*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -273*g**3 - 17*g**6 - 6*g**2 + 273*g**3 wrt g?\nAnswer: -2040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/32 and 91\/18.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 3*a**2 + 19*a + 7. Let p be s(0). Solve 101 = p*z + 108 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 6 - 2. Suppose -5*w + 0 = -20. Suppose -x - w*b + 18 = x, -4*x + 4*b = -24. Put x, 5, a in descending order.\nAnswer: x, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -433, -1723, -3855, -6817, -10597, -15183, -20563, -26725?\nAnswer: -33657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -143 - 7. Let p be (-4)\/(-5) - (6 + (-78)\/i). Is p > 8\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81660899 to the nearest integer?\nAnswer: 9037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 132745?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2245764, -2245776, -2245790, -2245806?\nAnswer: -2245824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29815877 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(2 - 11) - (4 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - k + 1. Let w(b) = 11*b**3 - 2*b**2 + b - 1. What is g(n) + w(n)?\nAnswer: 11*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*z - 300*z = -106*z + 248*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12900 by 6.\nAnswer: -2150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -50*p + 394. Calculate y(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7059433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-503)\/(-7) - 3\/(-21). Let j = s + -69. What is the tens digit of (-30 - 1)\/(j + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*s + 321 = 69, -s - 261 = 4*t. Let p be 8\/(-3)*(-99)\/t. What is the closest to 1 in 22, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*g - 2*b, 5*g - 2*b - 13 = 2*g. Suppose -82 = -g*l + 3. Let f = l - 13. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275230022.\nAnswer: 2, 2281, 60331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13477\/5 - 21543\/8. What is the common denominator of -121\/12 and r?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645093 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**6\/300 - 23*p**5\/150 - 26*p**4\/15 - 36*p**3\/5 + 325*p**2. Find v such that w(v) = 0.\nAnswer: -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -17\/4*z**4 - 1\/3*z**3 - 1\/30*z**6 + 0*z**5 + 2*z - 47\/42*z**7 + 0*z**2 + 4. What is the third derivative of n(b) wrt b?\nAnswer: -2820*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 128, 123, 118?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*a - 1462 = d, -634*a + 5*d + 28 = -637*a for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107192\/3 - 35732. Which is the nearest to -8? (a) -3 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/171*19\/(627\/(-18)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/480950 and 29\/28600.\nAnswer: 275103400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27775249*a**6 - 3*a**2 - 73*a - 96094.\nAnswer: 3333029880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4)*1)\/((-4060)\/(-6090))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Suppose -5*n - 2*a = 2*a - 54, -x*n + a = -46. Let h = 78 - 50. Calculate the greatest common divisor of n and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 80*u - 238. Let f be d(-3). Let z(s) = -6*s - 23. What is z(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1394\/(-116))\/(-456 + 455) - (11 - -1).\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 12*a**2 - 7*a + 10. Let x be f(5). What is the units digit of x\/(-11)*(-8)\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.025 * 0.3.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 0.5, 2\/11, -7, 0.26, -69?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.1, 15, 0.11, 0.3, -12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2325 (base 6) to base 14.\nAnswer: 2bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120881703?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 2*m**2 + 4*m - 1. Let o = -8 + 5. Let y be k(o). What are the prime factors of 5\/3*(-1 - y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) 14\/5 (c) 5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 14. Let z = 16 + -25. Let b = z + l. Is 6 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*v + 2001*v - 25 + 1 - 22302*v.\nAnswer: -20529*v - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -13. Suppose 0 = -4*r - 0*r + m. Suppose -v + 9 = -1. Calculate the least common multiple of v and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 12 = -3*g. Let u be (-1)\/1*0\/g. Suppose -2 = -t + 5*l - 4, -5*t - l - 10 = u. What is the biggest value in 1\/5, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + (sqrt(9) - (sqrt(9) - sqrt(900)))\/sqrt(3)*2 + -2)**2.\nAnswer: -160*sqrt(3) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11941 (base 10) to base 9.\nAnswer: 17337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*v + 21*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*g + 149*g - 4848741 = 17*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 13*a + 18*a - 125, -3*d + 105 = -3*a. Put d, 4, 1 in descending order.\nAnswer: d, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -3*o, -2*o - 3*c + 1 + 0 = 0. Suppose -9*w - 30 = -5*h - 4*w, -o*w = -4*h + 26. Solve h*n - 16 = -4*t, 5*n = 2*n + 4*t + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z + 37. Let s(q) = -3*q - 3. What is -d(b) - s(b)?\nAnswer: 7*b - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9416, -75148, -253606, -601166, -1174204, -2029096, -3222218?\nAnswer: -4809946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**4\/4 + 5*w**3\/3 + 5*w**2\/2 - 7*w + 3. Let g be o(7). What is g rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -147 + -41004261?\nAnswer: -41004430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10955.\nAnswer: 5, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 64 - -8 - (42 - 73).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 15)*((-141)\/(-6))\/(41\/82)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 14*m**2 - 337*m - 2521. Give j(-8).\nAnswer: 1071","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) -1\/4 (b) -4 (c) 0.4 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 4 - 2 - c + 3.\nAnswer: -c - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 205356846 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 549 - 307. Calculate the highest common factor of 22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*f + 50 = -259*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3244, 6543, 10048, 13753, 17652?\nAnswer: 21739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 2 - (-8 + 9 - 42). Solve 186 = -t*k - 18*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*m = -300*m + 153*m + 8694 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**3*g**2 - 2*d**3 + 2*d**2*g + 256*d*g + 159*g**3 wrt g?\nAnswer: -6*d**3 + 954*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from euuquruurrue?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 413108 + -277497. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 + -70. Calculate the remainder when 26 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*u - 2893269*u**2 - 27*u + 4*u**3 - 31*u + 2893269*u**2 + 93*u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6582*a**3 + 0*a - 7200*a**3 + 0*a.\nAnswer: -618*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let j be 61\/4 - (-2)\/(-8). Let p be 29\/(-35) - (-6)\/j. Which is the smallest value? (a) s (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1031 + -1024. What is the second smallest value in v, 8, -2\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 609, 2440, 5491, 9762, 15253, 21964, 29895?\n\"Answer: 610*z**2 + z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3101103203122 - 2?\nAnswer: 3101103203120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9942.\nAnswer: 2, 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 6, 25, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1849808 - 11?\nAnswer: 1849797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 divided by -6?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*b + 5, 1 - 16 = 5*b - 3*n. Let u = b - -3. Solve 4*m - 8 = u*z, -11 = -3*z + m - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*7.195.\nAnswer: -35.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 4, 7*h - 12*a + 178 - 250 = 0 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 times 440399\nAnswer: 61655.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -123 - (0 - 255) - 58.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1593 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - h + 4*h - 33 = 0, -4*h + 93 = -5*p. Let n be 5\/15 + p\/9. Is 19\/n*(0 + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691878555 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68187403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7570477334.\nAnswer: 2, 7, 659, 820559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2075, 4182, 6301, 8438, 10599, 12790, 15017, 17286?\nAnswer: 19603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -20. Suppose 8*r = j*r + 10. Solve g = 3*g + r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2 - -4)*(-153)\/9. Let d be m + 18 - 3*4\/(-6). Suppose -13 = -d*w - 2*k, -2*k + 0 = w - 11. Which is bigger: w or 3\/16?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -24*j + 1. Let h(o) = -792*o + 18. Calculate 2*h(q) - 36*x(q).\nAnswer: -720*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -n + 14, -5*m = 2*n + 38 - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 1, b: 1, k: 1, c: 1, x: 2}. What is prob of sequence cx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2057) - 1*sqrt(2057))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q - q + q + (q - q + 2*q)*(4 - 4 - 1).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17\/84 + -1\/28. Let q(o) be the second derivative of 0 + p*o**4 - o**3 + o + 0*o**2. Give q(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10841455297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 8238*l**2 + 1274688*l + 4966880.\nAnswer: -(l - 8390)*(l + 4)*(l + 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2*(-12)\/15*18\/72?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18339637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -970 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**3 + n**2 + n - 27. Let f(z) = -z**3 + 4*z**2 - 3*z - 2. What is -2*f(j) - 3*o(j)?\nAnswer: 2*j**3 + j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2573831.\nAnswer: 13, 37, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a minute in seconds?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-25) - 1)*-1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.46480518 to 1 dp.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2 - 0) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24663.35 millilitres?\nAnswer: 24.66335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -4*t - 2*v - 41 + 11, -5*v = -5 + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 12, -5*i - 44 = -2*t - 3*i. Let u = 32 - t. Suppose 2*g - 4 = w - 4*w, -4*w = -5*g - u. Solve -w*k = 3*p - 10, 3*k = 2*p - 3*p + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 + -34580967.\nAnswer: -34580956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 4*v - 3*k + 666, -v - 3*k = 324. Let n = v - -480. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*y - 17, i + 3 = 2*y - 4. Suppose i*n + 5 = 2*x - 3, -5*n - 20 = -4*x. Solve 5*q = -0 + x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 + 36 = 5*i + 3*x, -2*i + 2*x = -94. Suppose 20*s = 5*s + i. Solve -s*r = 4*q - 12, 5*r = 3*q + 9 + 11 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 1. Let h(s) = -1. Let o(n) = -2*a(n) - h(n). Suppose -34*m + 33*m + 1 = 2*l, -2 = -m - l. Determine o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 445 + -631. Let s = -102 - y. Calculate the remainder when s is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 53. Let z(r) be the second derivative of -r**7\/2520 + r**4\/6 + 6*r**2 + 55*r. Let y(t) be the third derivative of z(t). Give i(y(v)).\nAnswer: 2*v**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 27801711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 y when four letters picked without replacement from yhyyyhwyw?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**3\/5 - 554*s**2\/5 + 76172*s\/5 + 154568\/5 = 0?\nAnswer: -2, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 326410 to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - -7417727?\nAnswer: 7417740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -20. Suppose 2 = -2*o + r*l, -3*l - 6 = 5*o - 1. Which is the closest to 1? (a) 2 (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -u + 8. Suppose 8 = 2*g + 4*r - 8, 0 = 4*g + u*r - 28. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.688 + -1.7. Let h = -1.666 - 2.346. Let f = q - h. Which is the nearest to -1? (a) 0.1 (b) f (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/8 - (-475)\/(-152) - -2. Let b(o) = -4*o + 1. Let y(a) = -4*a + 2. Let s(c) = -3*b(c) + 2*y(c). Give s(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 88645\/(-61075) + 9\/15. Let t = -2\/349 + j. Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiniiviviinn. Give prob of sequence iv.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*f - 0*f + 356, 0 = -f + 2*s - 76. Let i be (f\/18 - -6)\/(2\/3). Solve -3*c + 2 = x - i*x, -2*x - 2*c = -12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**2\/2 + 37399555*d\/2 - 56099355 = 0. What is d?\nAnswer: -7479914, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1757\/753)\/(-6*(-91)\/2340)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/254054187 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13*q + 97. Let y be k(-7). Let b(f) = 4*f**3 - 5*f**2 - 9*f + 12. Is b(y) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 23*u**2 + 6. Let o be w(-23). Let j(m) = m**3 - 5*m**2 - 8*m + 21. Give j(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(11) + sqrt(176) + sqrt(176) + 2 + sqrt(176))**2.\nAnswer: 40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -141\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -156.8 in descending order.\nAnswer: -1, -3, -156.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23104 - 402?\nAnswer: -24011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 17*n + 27. What is s(-20)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**5\/20 + 3*z**4\/8 + z**3 - 10*z**2. Factor l(r).\nAnswer: 3*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 468239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -301.411944 and 168?\nAnswer: 469.411944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -3, -14, -31, -54, -83?\n\"Answer: -3*a**2 + 4*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:57 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194\/17 + 13420\/1173. Let u = 73\/138 - i. Let a = -183\/644 + -1\/644. Which is smaller: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 + 24*f**2 + 23*f + 18. Calculate b(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 11462?\nAnswer: 11434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(20)\/sqrt(4)*-4)**2.\nAnswer: -24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 17310.6.\nAnswer: 17310.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 5*u. Suppose -k + 6 = -0*i + 2*i, 4*i + 16 = u. What is the lowest common multiple of k and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-2)\/4)*150\/375. Which is the second smallest value? (a) 0.4 (b) 159 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 675 (base 9) to base 15\nAnswer: 26e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94 (base 16) to base 3.\nAnswer: -12111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 9*u - 3. Is 5 a factor of v(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155573 = -50*l + 117877. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43672 is divided by 4359.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p. Let q(f) = -22906*f. Calculate n(q(u)).\nAnswer: -45812*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i**3 - i**3 + 5*i**3)*(-2 + 3 - 2) + i**3 + i - i + 2*i**3 + 3*i + 6 - 3*i)*(i - 3*i + 0*i).\nAnswer: -2*i**4 - 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/36*0\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g - 3*g)*(-g + 6*g - 4*g + (-1 + 2*g + 1)*(2 + 2 + 0) + 4 + g - 4 + 6*g - 2*g - 3*g).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -22, -36, -52?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480 and 3879?\nAnswer: 620640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 3*j + j + (3 - 1 + 0)*(j + 0*j + j))*(-47*j**2 + 0*j**2 - 11*j**2) + (j**3 + j**3 - j**3)*(6 - 3 - 2) + 2 - 2 - 2*j**3.\nAnswer: -407*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.24 - 0.24. Let a = 3 + j. Suppose 5*y + 0*y - 5 = 0. What is the closest to y in a, -3\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Let w(b) = 3*b**3 + 5*b**s - 2 - 10*b**3 - 2*b + 3*b**2 + b**3. Give w(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 66, 4, -11 in ascending order.\nAnswer: -11, -3, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1215533560 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/21 - 150\/(-18). Solve 0 = h*d + 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6738567 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 4*o**2 + 0*o + 1\/12*o**3 - 1\/96*o**4 - 1\/240*o**5 + 0. Factor i(w).\nAnswer: -(w - 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-1))\/(3\/6). What is the common denominator of (a\/(-6))\/(12\/(-86)) and (3\/54)\/(2\/80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1555 is divided by 330?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*p**3 + 3520512*p**2 - 14159316*p + 290448 = 0.\nAnswer: -12102, 2\/97, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -294000356.99999968 - -294000599. Let b = m + -242. What is b rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152704*g**2*u**2 + 5*g**2*u - 68*u - 10149 wrt u?\nAnswer: 305408*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-7))\/(-21*(-21)\/1323)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 2*x**5 - 3*x**2 + x + 11. Let s(o) = 20*o**4 - 11*o + 3. Let f(v) = 11*h(v) - 6*s(v). Differentiate f(i) with respect to i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(-1 + 2 - 3) + 5 - 5 + 2 + 3 - 1 + 1)*(-2*f + 0*f + 11*f).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -332411242 (base 5) in base 15?\nAnswer: -1d9d17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(3)*2) - (sqrt(99) + (sqrt(99)*1)**2))*-2.\nAnswer: 5*sqrt(11) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1926, -3850, -5774, -7698?\n\"Answer: -1924*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -51. Let f(l) = -5*l - 14. Let i(g) = -2*g - 6. Let c(b) = n*f(b) + 14*i(b). Let w(v) = 59*v**2. Determine w(c(o)).\nAnswer: 236*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93 + 3*a**3 - 2*a**3 + 3*a**2 + 2*a**3 - 100 to n*a**3 + r*a + o*a**2 + h and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2. Let p(l) = 47774787*l. Give p(y(r)).\nAnswer: 143324361*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3*y = 0, 4*y + 384 - 356 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -95706?\nAnswer: -1\/47853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18397, -20302, -22207?\nAnswer: -24112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 36\/7*m**3 - 9\/7*m**4 - 81\/7*m**2 - 2*m - 1\/105*m**6 + 6\/35*m**5 + 0. Factor c(o).\nAnswer: -2*(o - 3)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = 71 + 329. Let a be (-2 - p\/(-22)) + 7 + -3. What is the nearest to 0 in a, -0.4, 9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 4*d + 4. Let c be k(1). Solve 2*s - 4*f = 0, 0*s - 3*s = -5*f + c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, j: 5, a: 1, e: 5}. What is prob of picking 3 j and 1 a?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 8*t. What is the units digit of w(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8845 + 0*y**2 - 9115 + 3*y**2 + 3*y**3.\nAnswer: 3*y**3 + 3*y**2 - 270","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 4\/3 (b) 47 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312173.5 milligrams to nanograms.\nAnswer: 312173500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -9\/88818787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 497 - -330. Suppose 7*o - 244 = w. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 9*f + 50. Is 3 a factor of r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 41\/7 (b) 5 (c) -23 (d) -2 (e) 54\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7244 - -7239. Which is the smallest value? (a) n (b) -1\/4 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4307*d + 1811. Is f(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x - 6. Let v(g) = 105*g**2 - 22*g - 1. Let t(b) = -36*b**2 + 8*b. Let u(i) = 11*t(i) + 4*v(i). What is the tens digit of u(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 887771 and 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 223280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 17*a**4\/12 - 10*a**3\/3 + 28*a. What is the second derivative of r(i) wrt i?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmdmddmmmmmddddmdmd. What is prob of sequence dd?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 3354?\nAnswer: -1\/1118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19221690205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 20. Let j = -4 + t. Solve 0 = -5*p + 25, -j*h - p - 3 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*-23852060.\nAnswer: 810970040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80059161 and 21?\nAnswer: 80059161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 20*n + 55. Let f be t(-17). Solve -f*v + 0 = 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2068 is divided by 198.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -56 + (8 - 17) + -4 + (30 - 6)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936013 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(0 + (-4)\/(-10)). Solve -3*p = -2*u - 5, 5*p - 15 = -3*u + g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7\/4)\/(v\/(v*v*v**(-13))))\/((v**17*v*v*v)\/(v\/(v\/v**(-13)))) assuming v is positive.\nAnswer: v**(-187\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 7\/(28\/(-4)). Which is the nearest to -183? (a) -2 (b) t (c) -0.3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g + 0*g + 5*g + 4*g + 14 + 125 in the form i*g + z and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 60.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3319 or -3317?\nAnswer: -3319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7500 divided by -9576\nAnswer: 625\/798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**37*d**(-32)*d\/(d**24*d)*d*(d*d*d**(6\/5)\/d)\/d assuming d is positive.\nAnswer: d**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 193 - 177. Let b(w) = -w**3 + 7*w**2 + 39*w - 240. Calculate the remainder when y is divided by b(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**3 + f**2 + 2*f + 3. List the prime factors of j(-6).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -714*y**2 - 1561*y**2 + 563*y**2.\nAnswer: -1712*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 9*a + 32. Let h be (a\/(-20))\/((-1)\/(-5))*0. Suppose h*p - 24 = -p. What is the remainder when p is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**2 + 2*a**2 + 8 - 10*a**2 as g + n*a**2 + k*a and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115061156 (base 7) to base 9.\nAnswer: 14470705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-5\/4)*z))\/(z*(z\/((z*z\/z**(-9\/5))\/z*z))\/z*z)*z**9*z*z\/((z**(-3\/8)*z)\/z))**(-38))**(19\/3) assuming z is positive.\nAnswer: z**(-208297\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2982, -6179, -9334, -12429, -15446, -18367, -21174, -23849?\n\"Answer: 3*t**3 + 3*t**2 - 3227*t + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + i - 13 = -2*m, -25 = -5*i. Suppose -4*r = -3*c + 1005, -5*r - 670 = m*c - 4*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 58*n = -231*n - 1465 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1957*r + 2153*r - 784 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -22. What is the remainder when 3*(-11 - 744\/(-36)) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 7*j**5\/100 + j**4\/8 - j**3\/5 + 3*j**2 - j. Let t(q) be the first derivative of s(q). Let t(d) = 0. Calculate d.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 34. Let k be i + ((-24)\/(-2))\/2. Suppose k*q + 15 - 3 = 0. Put 1, q, -4 in descending order.\nAnswer: 1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14325.\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b**2 + 137 - 52 - 45 - 46.\nAnswer: -48*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65925, 131544, 197159, 262770, 328377, 393980?\n\"Answer: -2*u**2 + 65625*u + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 561210 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -88.14. Let a = f - 0.85953. What is a rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-56)\/21*27\/(-4). Let s(c) = 2*c**3 - 3*c**2 + 3*c - 2. Let x be s(4). Calculate the highest common divisor of v and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*1 + sqrt(352))*-6)\/((sqrt(22) + (-1*sqrt(66))\/sqrt(3) - sqrt(22) - sqrt(22))\/sqrt(11)).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 495823\nAnswer: 7\/495823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 j when three letters picked without replacement from {j: 3, a: 13}?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(((-26804)\/(-8))\/(-1)). Let d = f + -381937\/67010. Let x = 20\/371 - -48481\/2226. What is the common denominator of x and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, v: 10}. What is prob of sequence vcv?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 708901*a**3*p**2*x - 2*a**3*p - a**3 + p**2*x**3 + 39*p*x**2 + 385*x**3 wrt p?\nAnswer: 1417802*a**3*x + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 361888745?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 452*f - 381*f + 213 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*h = -318 + 658 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797?\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 130 times 0.4\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/45 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.322, 5, 0, -5, -2\/7 in decreasing order.\nAnswer: 5, 2, 0, -2\/7, -0.322, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20883, 20916, 20949, 20982, 21015, 21048?\n\"Answer: 33*a + 20850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*y - 5623 = -1115, 2*m - 4494 = 3*y. Suppose -m = -16*c + c. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 12 = 25*w. Let r(g) be the second derivative of 0*g**w + 4 + g**3 - 26*g - 4. Calculate r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -6) + (19 - 19) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1283653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/8 or -1\/1867?\nAnswer: -1\/1867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 315011*d**2*w**3 + 17*d**2*w - 31*d*w**2 wrt w.\nAnswer: 1890066*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**4\/42 + 2*p**3\/7 - 9*p**2\/7 - 100*p + 266. Let l(i) be the first derivative of v(i). Factor l(f).\nAnswer: -2*(f - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5303 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 8*l - 3. Let x be y(5). Does 3 divide x - (-1)\/3*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/10*(1 + -3). Suppose -o = -3*v + 5. Suppose -v*i = 9 - 41. Calculate the greatest common divisor of 48 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040.709 litres in millilitres?\nAnswer: 1040709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2010 and 2722.\nAnswer: 2735610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*w - 28 = 62*w. Calculate the remainder when 354 is divided by (5 + -4)\/(w\/497).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 2*f = 0. Is f + 0 - (1 - 12) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5 - 29 = -3*a, 4*c + 38 = a. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:55 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45831)\/(-26)*4\/(-300). Let v = -1\/325 - w. Calculate the common denominator of -59\/10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53313171?\nAnswer: 3, 17771057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -329479 at most as big as -329767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56071 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + b - 2)*(-4*b + 2*b + b) + (-3*b - 2*b + 3*b)*(b + 2*b - b) - 4*b**2 + 5*b**2 - 4*b**2 + b - b - 2*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -708 and 10591.\nAnswer: -7498428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -174 - -174. Solve n*g - 35 = 7*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*y**4 - 3171707*a**2*y**2 - 27932*a**2*y + 19*a**2 - 9*a*y wrt y?\nAnswer: -12*a**2*y**2 - 6343414*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185856 by 545.\nAnswer: -185856\/545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(187)*-2 - sqrt(187))\/(sqrt(11) - 1*sqrt(176)).\nAnswer: -7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 + -89 - (30 + -1) - (-12 + (7 - 0)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 2 - 1) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -19. Factor 3*u**3 + g*u**2 + 3 - 30*u + 27 - 6.\nAnswer: 3*(u - 2)*(u - 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7*z = -5*z + 205607, 5*z = -4*d + 274158. Suppose 21*q = 28*q - d. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 901924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*t + 32569, -351*w + 5*t + 162825 = -346*w. What are the prime factors of w?\nAnswer: 2, 19, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (0 - 12 - (156 + -160)) - (-1 + 0)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + (10 - 3) + -6 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09272588 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((18 - (-67 - -37)) + -106)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256061 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -167*v + 89*v**2 + 28*v**2 - 157*v + 328*v as g + n*v + k*v**2 and give k.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/6048 and -59\/429120?\nAnswer: 9011520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0484*-9.\nAnswer: 0.4356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -4, -2521529 in ascending order.\nAnswer: -2521529, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(475) + 1 + -4)**2.\nAnswer: -968 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -574*n**2 + 9969 - 9975 + 88*n + 75*n wrt n.\nAnswer: -1148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -358, -544, -730, -916?\nAnswer: -1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -8327*w**9\/504 - 35*w**5\/4 + w**4\/3 - w**2 - 2*w + 490. Find the third derivative of m(a) wrt a.\nAnswer: -999240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 n when three letters picked without replacement from jjjjjnjnj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-31 + -16) - 64.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 10) to base 15\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -362*w + 133. Is n(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + (-3 - -4 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7764581.77 rounded to the nearest ten thousand?\nAnswer: -7760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**4\/9 - 12712*a**3\/3 + 9024724*a**2\/9 + 2022440*a = 0.\nAnswer: -9765, -2, 0, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2283*r + 1128*r + 1095*r.\nAnswer: -60*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*o**2 - 6951816*o\/17 + 5706\/17 = 0 for o.\nAnswer: 3\/3655, 951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733702 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 711 = -8229. Suppose b - 4976 = -3*x + 5*d, -4*d + 2096 = 2*x. What are the prime factors of x?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 9 = -16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 569 - 574.23. Let p = n - -5.6. Let v = -8.63 - p. Which is the biggest value? (a) 1 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/13 + 6528*t**2\/13 - 1768718*t\/13 - 67604172\/13 = 0 for t.\nAnswer: -3513, -34, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91 + 91.4. What is the second smallest value in s, 5.4, -1\/7, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/6628909 and -71\/1893974.\nAnswer: 13257818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.04, 1\/21, 704, 0.9, 26?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155\/62*(216\/720*(-16)\/(-3))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 + 97*k + 975. Give g(-21).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117728 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/1*(-3)\/(-2). Let z(r) = 3*r + 2*r**3 + 4*r**2 - 3*r**3 + 2 + 2*r**3. Does 2 divide z(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 3. Let v be w(-3). Let f = v - -5. Find the third derivative of -3*l**4 + l**5 + 3*l**4 + 2*l**f wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1773009 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42957 and 73926?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 376970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7333 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 97822.29 centimeters?\nAnswer: 978222900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 7*g**2 + 10*g - 6. Let p be f(8). Suppose 3*q + 0 = -4*l + 20, -5*l = -p. Suppose 44 = 2*i - q. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -98*u + 18. Let a be x(9). Let v be (-4 + -1)*a\/80. Calculate the highest common factor of v and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {b: 3, o: 9}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Suppose 0 = -s*k - k. Suppose k = 5*u - 30. Solve -u = -0*j - 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - -8 - (2 + 0). Suppose 0 = 2*y - 2 - f. Do y and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3048, -0.5, 3, -5\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131053864 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 809590726?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(-558)\/(-1302).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j + 6*j)*(3*j + 4 - 9*j + 2*j)*(j**3 - 5*j**3 + 5*j**3 + (3*j - 3*j + 2*j)*(6*j**2 - 3*j**2 - 4*j**2) - 6 + 4*j**3 + 6 + 3*j**3 + j**3 - 5*j**3).\nAnswer: -16*j**5 + 16*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) 3\/4 (b) -0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/13 and -62\/24375.\nAnswer: 24375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001227048 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*p + 123*p = -95*p - 32*p - 9434 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (4 - (-6)\/(-2)). Suppose -50 = -k*p + 7*p. Does 17 divide 536\/10 - (-6)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.17 and 2783172.\nAnswer: 473139.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 3*f. Let l be x(3). Let w(r) be the second derivative of l*r**2 - 3*r + 0*r**4 + 0 + 1\/40*r**5 - 1\/12*r**3. Suppose w(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1750225 by -5.\nAnswer: 350045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16.7 or -2\/15?\nAnswer: -16.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/5 + 388*j\/5 - 392\/5.\nAnswer: 4*(j - 1)*(j + 98)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 5*y**2 - 3*y**2. Let v(u) be the first derivative of -11*u**2 - 1476. Determine v(l(o)).\nAnswer: -88*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4 - 20082*j**3 - 3141*j**2 - 1090 wrt j?\nAnswer: 24*j - 120492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -26504, 1, 61, -11 in ascending order.\nAnswer: -26504, -11, 1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 19*n**2 - 23*n - 16. What is d(14)?\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-69)\/6 + -2). Let g(l) = 2*l + 6. Let w be g(-4). Which is the nearest to w? (a) -2\/15 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23319860 by 20.\nAnswer: 1165993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1109*w**4 + 2*w**3 + 2*w + 5118 wrt w?\nAnswer: -13308*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j = -40*j - 48. Does 17 divide (51*(1 + -6))\/(1\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**2. Let b(g) = 19*g. What is b(o(t))?\nAnswer: -95*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**3\/17 + 366*x**2\/17 - 212*x\/17 - 144\/17 = 0. Calculate x.\nAnswer: -2\/5, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39501\/32 or -1234?\nAnswer: -1234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 947 + -222. Let h be (-1)\/(2 + f\/(-360)). Let y = 200 - h. Is y a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 3*u + 3. Let n be m(-3). Suppose -k + 570 = -3*c, -k + 564 = n*c - 0*c. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-156)\/(-16)) + 186\/126?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4386 and 12.\nAnswer: 8772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/8 - 7)*-1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 9:16 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7072)\/8112*117\/(-18)?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + 5. Is 11 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4277.\nAnswer: 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1444 - -1443. Sort 302, b, 1.\nAnswer: b, 1, 302","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29877.\nAnswer: 3, 23, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p**2 + 13939*p - 13938. What is a(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*x + 2493, 2*d + x = 521 - 2186. Let j = -538 - d. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i\/((i**(-5\/7)*i*i)\/i)*i)\/i)\/i)\/(i\/((i*i**(-9))\/i)))\/(i**(-1)*i)**(-30) assuming i is positive.\nAnswer: i**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -5*k + o - 57, 77 = 3*k - o. Suppose -6 = -3*r + k. Let n(d) = d**2 + 1. Let t be n(0). What is the highest common factor of r and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75\/6193 - -99313\/18579. Factor 16\/3 + 4\/3*b**3 - v*b**2 - 4\/3*b.\nAnswer: 4*(b - 4)*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 434, 526, 598, 584, 418, 34, -634, -1652?\n\"Answer: -11*p**3 + 56*p**2 + p + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:04 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49734 is divided by 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*l - 313. Suppose 4*q = 2*h - 880, 5*q + l = h - 121. Suppose 0 = -3*t + 1899 - h. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34490 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: 23 (base 6) to base 16\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 371 - 371.032. Let v = l - 1.968. Let i = 0.2 - 0.5. Put v, i, -3 in ascending order.\nAnswer: -3, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150851 is divided by 436?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1261*x - 3789. Determine v(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/66)\/(15\/90)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4330433433 (base 5) to base 15.\nAnswer: c25d48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 12 + (4 - 4 + 1)*(3 - 1 - 3))*((-1 + 3 + 1)*(-6 + 3 + 2)*(4 - 4*q - 4) + q - 2 + 2) in the form y + k*q and give k.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-8)*(364\/21 - 12). Suppose -741 = u*f - 3173. Is 38 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and -4*(-2)\/12*3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -186, -222, -286, -378?\n\"Answer: -14*w**2 + 6*w - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 - 10 - (-18 + 1). Suppose 66*x + 376 = -20. Put x, y, -4 in descending order.\nAnswer: y, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133994471 by 4031.\nAnswer: -33241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -188 (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 10:25 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - -4290.\nAnswer: 4331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1320, 1312, 1304?\nAnswer: 1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (66\/10)\/(1083\/3135) - (-14)\/(-133). Let a(u) = u**2 - 20*u + 15. Determine a(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 203 - 205 - (11 + 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/18)\/(1\/1065). Suppose -5*c + t = -80. Suppose -30 = -3*b + c. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*i**2 + 9*i**4 + 2 - 2*i**3 - 7*i**4 - 1 + 27*i**2 as k + b*i**2 + t*i**3 + r*i**4 + d*i and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 8410304?\nAnswer: 8410314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7)*-3)**2 + -1 - (3 + sqrt(42)\/(sqrt(6) + (-1*sqrt(6) - sqrt(6)))).\nAnswer: sqrt(7) + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -67*y**2 + 125*y + 54. Give b(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52290 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**3\/12 - 53*o**2\/8 + 27*o\/2 - 267. Determine v, given that y(v) = 0.\nAnswer: -54, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 255.107 millilitres?\nAnswer: 0.255107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1023203 + -1210?\nAnswer: -1024413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 1 - (-29 - (-34 + 10))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 71.6. Let o = p + -10. Which is the third smallest value? (a) -4 (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80648.25km to nanometers.\nAnswer: 80648250000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 5*sqrt(500)*3 + sqrt(500) + 3 + -4)**2 + 0.\nAnswer: -340*sqrt(5) + 144501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 247 + -246.999675. Round o to five decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a second in milliseconds?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -24*g - 2 + 93*g - 5 - 38*g - 28*g. Determine j(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -7\/2. Let n be ((-58)\/203)\/(2\/14). Let j be -2*(-12)\/10 + (-4 - n). Sort 0.3, -2, a, j.\nAnswer: -2, a, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135755035.\nAnswer: 5, 13, 37, 47, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 1\/4 (c) 0.4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221628533.\nAnswer: 7, 31661219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3))**(-2\/33)*d*d**(-5)*d**(2\/9) assuming d is positive.\nAnswer: d**(-124\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppxxpox. Give prob of sequence op.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p**2 + 10*p + 5. Let r = 110 - 103. What is the units digit of v(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81508452?\nAnswer: 2, 3, 6792371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14438951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(2\/57)*i**1\/i*(i\/((i**(-3)\/i)\/i))\/i)\/(i*i**7*i\/i**(2\/17)*(i**0)**(-48)) assuming i is positive.\nAnswer: i**(-3728\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1920)\/(20640\/172)*10\/16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5499 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 50*m - 2. Let h be u(1). Calculate the highest common divisor of h and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4 + 16*v**3 - 64*v + 64.\nAnswer: -4*(v - 2)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1040224 + 132242?\nAnswer: -402432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4 + 80208*f**3 - 716490126*f**2 + 2153318758440*f - 132835340982519.\nAnswer: -3*(f - 8891)**3*(f - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123 + 217. Suppose -2*o - 52 = -x. Calculate the remainder when 104 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.720875 seconds in days?\nAnswer: 0.0021726953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41029141\/306 + -134082. Calculate the common denominator of c and 19\/81.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, -1595, 5 in increasing order.\nAnswer: -1595, -6, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-5) - (-22)\/5. Let i be (-6)\/g*(-8)\/6. Let r(z) = -z**2 + 3*z**2 - 3*z**i. Let x(l) = 2*l**2. What is r(x(k))?\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0*d - 7*d)*(0 + 0 - 1)*(d**2 + d**2 - 3*d**2).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - v = -0*q - 3, 2*q - 4*v = 16. Suppose -127*h - 62 = -136*h - 8. Let r = 1 + -1. Solve 4*f = -5*z, r = 2*f - h*z + q*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8775 = 5*p + 5*w, 2318 = p - 5*w + 557. Let j = -1123 + p. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*b + 3*b, 4*a - 2*b - 60 = 0. What is the smallest common multiple of (7 - -1)*4\/8 + 2 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46 + 46 + 2093\/(-2124) - (3 + -4) and 7\/3186.\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160.7 - 1147.7. Let s = z - -987.4. Put 27, 4, s in decreasing order.\nAnswer: 27, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 3*u + 1. Let x(c) be the third derivative of -c**6\/120 + 7*c**5\/60 + c**2. Let l be x(7). Suppose 15 = 5*y - l. Give j(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + (-1 + -4 - (12 - (22 + -11)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 108, 0.3, -2\/5, 4\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-9\/2)\/j**(-12)*j*j**(-2\/13)*j\/j**12 assuming j is positive.\nAnswer: j**(-69\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 0)*(0 + 0 + c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1550 - 549 + 317 - 880 - 38*h.\nAnswer: -38*h - 2662","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 0, 137, -3 in descending order.\nAnswer: 137, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39.2 - 17.2. Let d = -1424166.999824 - -1424145. Let s = d + w. Round s to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + (-20474)\/(-6))*234375\/50. What is a rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 14.7 (b) 0.13 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z + 5*l = -71, 3*z + 4*l = 89. Suppose -3*r = 2*r - 15. Calculate the greatest common divisor of z and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 9?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 83.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*k - 916. Suppose -k = -4*d + 364. Let o = d - -29. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/(-8) + 4)*0. Solve i + 13 = 2*j, -2*i + o*i = 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**6\/120 - z**4\/24 + z**2\/2 + 3. Let l(o) be the second derivative of s(o). What is w in l(w) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, e: 3, d: 1, o: 1, a: 1}. Give prob of sequence zz.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 25, 0, 5 in descending order.\nAnswer: 25, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21953.4 - -21953. Sort -4\/3, x, -5, 0.06, 2\/15 in increasing order.\nAnswer: -5, -4\/3, x, 0.06, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 1. Let t be v(-2). Suppose t*h - 33 = -0*h. Calculate the smallest common multiple of h and 9 + (7 - -3)\/(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 f when four letters picked without replacement from {f: 5, u: 14}.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**5 - 55604*p**4 - 389000*p**3 + 444608*p**2 = 0. Calculate p.\nAnswer: -13894, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/296 - (1 + -1). Let g be (-1015)\/777 + (-4)\/(-4). Let b = g + n. Is b bigger than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14532 divided by 6?\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*a + a. Let f be (-5)\/(-10) + a\/4. Solve f = 4*w + 20, 0*k - k + 3*w = -11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202493 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 27288\/3157 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.23 + 0.07. Let x be 37\/(-13) + (-16)\/104. Let q be (-3 - (-45)\/12)*1\/x. Sort y, q, 14 in decreasing order.\nAnswer: 14, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72162843 to the power of 1\/2, to the nearest integer?\nAnswer: 8495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61425 + 475*r - 61425)*(r**4 + 7*r**4 - 2*r**4) - r**5 + 3*r**5 + 0*r**5.\nAnswer: 2852*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 8 + 11, 4*w - g = 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 1. Let h(s) = -s**2 - 6*s - 6. Suppose 0 = 5*o - 10, -u = -0*o - 2*o + 10. Let y(r) = u*i(r) - h(r). Let c(q) = -28*q**2. Determine y(c(k)).\nAnswer: 784*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.55 - 5506308.\nAnswer: -5506307.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 402 - 347 - 575 + 1449.\nAnswer: -2*d + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1548452468?\nAnswer: 2, 937, 413141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 12. Suppose -22 = -2*m - 2*n - 3*n, m - b*n - 41 = 0. Calculate the remainder when 62 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1467.0871 + 1467. Round x to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -162 + 147 + -1 + 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.282 in -20, 1\/37, -2\/7, -0.1?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, b: 1, g: 1, i: 1, x: 3}. What is prob of sequence gbi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1794 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 + 5*o - 15. Let x(p) = p**2 + 3*p - 9. Let j(a) = 6*n(a) - 10*x(a). Let y(c) = 3*c**2. What is j(y(v))?\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.207 * 5\nAnswer: 1.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five halves of a kilogram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + sqrt(3) + sqrt(3)*-1)**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i**3 - 2*i**2 + 42*i + 40. Calculate b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -578 divided by 351824?\nAnswer: -289\/175912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*n - 26 + 26)*(n - n - 2*n)*(-38*n - 64*n - 323*n).\nAnswer: -9350*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -11*x**7\/21 - 23*x**3\/6 - 15*x. What is the second derivative of f(d) wrt d?\nAnswer: -440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1733.6 - 0.5.\nAnswer: 1733.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -26953.67354 rounded to the nearest 10?\nAnswer: -26950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, e: 1, c: 3}. Give prob of picking 2 c and 2 j.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*t + 28490, -6*t + t = 2*m - 56990. Round m to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*k - 350 = 3278 + 754 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 6 = 4*d. Suppose d*g - g = 3. Let h(y) be the first derivative of 2*y**3\/3 + y**2 - 2*y + 4. Let l(n) = -2*n**2 - n + 2. Determine g*l(p) + 2*h(p).\nAnswer: -2*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7591524, -7591523, -7591522, -7591521, -7591520, -7591519?\nAnswer: -7591518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -146*y. Let a(u) be the third derivative of -u**6\/360 + 25*u**3\/2 + 11*u**2 - 1. Let c(v) be the first derivative of a(v). Determine h(c(s)).\nAnswer: 146*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -361 by -43.\nAnswer: 361\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 844570.2l?\nAnswer: 844570200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 12) to base 9.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -7423?\nAnswer: -7425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.37 + -7.96. Let l = 1.53776 + m. Round l to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/2077 and 9\/39128.\nAnswer: 1212968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11825937?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000455419 to seven decimal places.\nAnswer: 0.0000455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3*f + 24 = 9, -5*f = -15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106470*c**3*w**5 - 2*c**3*w**3 - 8*c**3*w**2 - 318*c**3*w - 25*c*w**2 wrt w?\nAnswer: -6388200*c**3*w**2 - 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2779004?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-48)*-6 - 12215\/(-9660)\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 6*r. Let t be c(6). Let l(y) = -y**3 - 8*y**2 - 3*y + 26. Let m be l(-7). Let f = 9 - 8. Put f, t, m in increasing order.\nAnswer: m, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -11*t**3 - 3*t**2 + 5*t + 7. Let f(y) = y**3 + y**2 - y - 1. Let o be (-10*2\/6)\/(-3 + (-88)\/(-24)). Determine o*f(x) - d(x).\nAnswer: 6*x**3 - 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4 (b) 3 (c) -5 (d) -457 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + j - 3 = 0, i - 2*i + 15 = -5*j. Suppose 5*k = 2*l + l + 14, i*l + 10 = 5*k. Is 4*6*2\/k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 7 + 3 = 0, -3*p - 3*c + 6 = 0. Suppose p = o + o - 2. Let y be ((-92)\/(-48) - 0) + 182\/2184. Solve 0 = y*f + 1 + o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 77\/(7 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 - -132. Let j(p) = 3*p**2 + 3*p. Calculate the remainder when g is divided by j(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -628, -632, -634, -634?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -3.3, -4, -4.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/14 + 66\/14. Suppose g*r + 4*t = 3*t - 5, 0 = -5*r + 2*t + 10. Suppose v + r*v - 24 = 0. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 1, -175 in decreasing order.\nAnswer: 3, 1, 0, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 greater than or equal to -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2\/5 + 44647406*m\/5 - 44647404\/5 = 0?\nAnswer: 1, 22323702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 5*l - 5*s + 27, 2*l = -2*s + 14. Let y be (-2)\/((l\/8 - -3) + -4). Solve 2*k + y = 2*g, -6 = -4*g + k + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -37, -115, -193?\n\"Answer: -78*p + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11914.4 and 0.5.\nAnswer: 5957.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z + 14. Suppose -2*d - z = 4*v, 0 = -3*d + 4*v + 5 + 7. Solve 5*j + 0*j = d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u. Let d(b) = -5*b - 4. Let c be (-6)\/((30\/(-4))\/(-5)). Let h(f) = 11*f + 9. Let t(z) = c*h(z) - 9*d(z). Determine o(t(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 4*z - 212. Calculate the greatest common factor of z and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -773 divided by -1?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + s**2 + s + 1. Let d(y) = -8*y**3 - y**2 - 5. Let v(c) = d(c) + x(c). Let r(i) = -i**3 - 1. Let a = -5220 + 5226. Calculate a*r(p) - v(p).\nAnswer: p**3 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 3847594.\nAnswer: 15\/1923797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 4*a - 4*s + 462, 0 = 5*s + 10. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 22. Let j(a) = -a**3 - a**2 - a + 1. Let r(p) = 4*p**3 + 3*p**2 + 3*p - 3. Determine i*r(x) - 6*j(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 6*i - 6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 534*g**2 + 13*g**3 - 253*g**2 - 2 - 281*g**2 - 10*g.\nAnswer: 13*g**3 - 10*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -541*j**2*v*z + j**2*z + 2089*j**2 - 94*j*v*z - 2*j + 3*v + 411*z wrt j?\nAnswer: -1082*v*z + 2*z + 4178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801786 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbgkbggbbbggbkbb. Give prob of sequence gk.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than 149?\nAnswer: 148.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12690701323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.42 - 0.3. Let h = 0.72 - c. Put -4\/3, -3, 0, h in ascending order.\nAnswer: -3, -4\/3, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8443949*z**5 + 12*z**3 + 243135719*z**2 wrt z?\nAnswer: 506636940*z**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + 2*d - 4*d + (0 + 2 - 1)*(-2*d - 2*d - 2*d) - 48*d - 6*d + 4*d.\nAnswer: -57*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 635 divide 542196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3334700, 6669398, 10004096?\nAnswer: 13338794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1\/4 (c) 5 (d) -31 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 1808, 1, -4, 0, 3, 2.\nAnswer: -4, 0, 1, 2, 3, 64, 1808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5112 is divided by 819?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - (2 - (6 + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2152 + -2001. Which is smaller: -14 or w?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 - 215 = -15*k. Solve -5*t + 3*t = -u + 11, -4*t + 3*u = k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167 + 159. Let u(f) = f**3 + 9*f**2 + 11*f + 5. Let h be u(o). Sort -5, -3, h in ascending order.\nAnswer: h, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 47, 10, -5 in descending order.\nAnswer: 47, 10, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 8*q - 9*q + 615, 0 = -5*w + 2*q + 1036. Do 206 and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 637, 638, 639, 640, 641, 642?\n\"Answer: v + 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51038\/25 + 2042. Sort r, -0.1, 1.\nAnswer: -0.1, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 15*x**2 + 77*x + 63. What is u(20)?\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -11*k**5\/60 + 11*k**4\/24 - 11*k**2. What is the second derivative of h(c) wrt c?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -0.072?\nAnswer: -3.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnguuuuguugggu. What is prob of picking 1 u and 1 n?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.5 + 2.55. Let h = -4 - y. Let w = -3.95 + h. Which is the second smallest value? (a) w (b) 0.2 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*m + 88*m - 90. Let b be ((-5)\/5)\/(1\/(-6)). What is the greatest common factor of b and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.12 - 1.52. Let u = y + 0.4. Which is smaller: u or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 5*f + 34 + 10, 4*x + f - 70 = 0 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -23*i**2 - 6300*i - 11974. Give l(-272).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 831, 1663, 2495, 3327?\nAnswer: 4159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -27 + (32 - 14) + 9 + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 5) + 3 + -21. Let g = 44 + v. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9351.451 rounded to the nearest ten?\nAnswer: 9350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 651 = -53*h + 14*h for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -30*n - 29. Let l be g(-1). Sort -3, 3, l, 2 in ascending order.\nAnswer: -3, l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -23*r - 8. Let t(k) = -14*k**2 - 21. Calculate d(t(a)).\nAnswer: 322*a**2 + 475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -922, -913, -892, -853, -790, -697, -568, -397?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 6. Suppose -1512 = -5*n + 63. Is 3\/p - n\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10205038?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 19*y. Calculate r(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 516\/8)*-26*34\/(-221). What is the third smallest value in f, -1, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**4\/4 - 2*d**3\/3 + 60*d - 4. Let g be j(0). Find the third derivative of -60*x + 9*x**2 + 7*x**5 + g*x wrt x.\nAnswer: 420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2178888730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(44\/(-990)*15)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2*p - 90 = 0, 13*p + 25*p - 53*p - 709 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 5. Calculate the remainder when 60 is divided by t(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - -1 - 3) + 1029. Suppose -c - k = -4*z, -3*z - 421 = -5*c - 1212. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5297, -2\/7, -2 in descending order.\nAnswer: 5297, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 28. Suppose 5 = s + 4*i - y, 5*i - 35 = -5*s. Suppose 81 + 451 = s*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((7 - 23) + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*x + 53, j = -4*x - x + 84. Are x and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14\/103405 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**8\/u)*u\/u**(-5)*u**(-1)*u\/(u\/u**(-3\/7)) assuming u is positive.\nAnswer: u**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1225)\/490*(-4 + (-5)\/(-2))?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-124)\/(-10) - (-18)\/(-45). Calculate the highest common divisor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnngng. What is prob of picking 2 n and 2 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 26*g**3 - 6*g**2 + 74*g + 52.\nAnswer: 2*(g - 13)*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-239746)\/91*126\/(-24)*4.\nAnswer: 2, 3, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a28dc2 + -5?\nAnswer: 8a28dbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2803.58 + -2854. Let b = 51.121 - 0.121. Let x = b + u. Round x to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659882010?\nAnswer: 2, 3, 5, 199, 110533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -314.93 + 315. Let i = -79 + 76. Which is the second biggest value? (a) i (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1887 and 153003621?\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 7*a - 9. Let b be p(7). Suppose -2*g = -4*f - 81 + 31, 32 = -3*f - 4*g. Let v = b - f. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, 21, 60, 135, 258?\n\"Answer: 2*n**3 + n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*((f*f*f**(2\/5)*f)\/f)\/f)\/f*f*f)**(-44)\/(f\/(f\/f**7)*f*(f*f**(-1\/14))\/f))\/((((f**(-4\/7)*f)\/f)\/f*f)\/f**2*(f*f*f**0)**(2\/43)) assuming f is positive.\nAnswer: f**(-599141\/3010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 75382000 rounded to the nearest 1000000?\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 26091?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157694179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 489 = -3*d, 0 = -4*d + 5*c + 349 + 272. What is the highest common factor of 265 and d?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-1 + 4 - 4)*(9*q + 0*q - 2*q)*(2 - 6 + 0).\nAnswer: 56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 20*s**3 - 83*s**2 + 134*s - 727. Let o(p) = -7*p**3 + 28*p**2 - 45*p + 257. Let m(d) = -17*o(d) - 6*q(d). Determine m(20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921666 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in -4, 4, -1, -41\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*k - k = 538, 3*g + 4*k = 416. Suppose 5*j = g + 19. Suppose 0 = 5*c - 29 - j. What is the lowest common multiple of c and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 12 = 3*b. Let x(c) = -b - 2*c - 1 + 3*c - 2. Calculate x(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/8004 and -19\/1104?\nAnswer: 32016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 17*u + 72. Let f be v(-10). Factor 0*y + 2\/5 - 2\/5*y**f.\nAnswer: -2*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -541123022 (base 6) to base 3\nAnswer: -200000111010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120747193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 275279*a**3 + 135*a**2 + 269551633 wrt a?\nAnswer: 825837*a**2 + 270*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 55 = 27 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 919*z - 919*z + 1910*z**2.\nAnswer: 1910*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6502.2 + 6502. Which is the second smallest value? (a) 5 (b) n (c) 1.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 33*p + 36*p)*(3*p + 2 - 2*p - 2*p)*(-3*p - p + 2*p).\nAnswer: 134*p**3 - 268*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 145\/(-58)*(-6)\/50*5. What is the nearest to -0.1 in -15, 2, 2\/15, l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -996 by 572533.\nAnswer: -996\/572533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*2*-2)\/(sqrt(7) - 1*sqrt(343))*2.\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4 + 22*h**3 - 6*h**2 - 70*h - 44 = 0.\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -920\/27 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**4\/4 - 7*t**3\/3 - 5*t**2 + 7*t - 28606. Suppose -5*l = -8 - 32. Determine p(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 5*u**2 + 3*u - 6. Let f = -4 + 9. Does 9 divide r(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 45. Suppose 2*x - 11 = -3*a, -x + 4*x - 2*a - 23 = v. Find the second derivative of x*h**5 - 29*h + 2*h**2 + 24*h - 2*h**2 wrt h.\nAnswer: 140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83225075 times 0.1?\nAnswer: 8322507.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + 5*x + 28, 4*x = -3*t - 17. Suppose z = -t + 4. Solve -4*m - 3*y + 8 = -0*y, -4*y - 6 = -z*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 6 = 3*l + 16, -3*l = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4 + 11 = 0. Let c be 1 - 0\/(-1 - 3). Solve 2*w = u*w + c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 9. Let n be 3 - 145\/15 - 1\/3. Give l(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5823380 or 0?\nAnswer: 3\/5823380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27756862955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*q**3 - 1 - 48*q**3 + 98*q**3 + 1.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**5 - 3*m**5 + 4*m**5)*(-2 + 3 - 2)*(-772 - 988 - 212 - 549).\nAnswer: -7563*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 a when three letters picked without replacement from {k: 1, y: 1, z: 3, v: 2, a: 3}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 - 1.3. Let m = 0.3 + c. What is the second smallest value in -2, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -249523152*v - 289630660 with respect to v.\nAnswer: -249523152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 12703 + 3667. Let r = s + 18011\/6. Find the common denominator of -149\/12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0 - 2. Is (r\/(-3))\/(4\/66) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-2)\/4) + 3. Let d(b) = 3*b + 2*b - n*b - 5*b. Let v(u) = -3*u**2. Give v(d(a)).\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-18)*(91\/132 - 16\/(-264)). What is the nearest to q in 4, 111, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j\/(j\/(j\/j**2))))\/j)**11)**(-4\/11))**46 assuming j is positive.\nAnswer: j**(-368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -129. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 65 (b) -1 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 54371112 - 54371112 - 4*u**2. Let v(w) = 3*w**2 + 25. What is h(v(m))?\nAnswer: -36*m**4 - 600*m**2 - 2500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u + 6. Let m(g) = -g. Let n(p) = -p**2 - 6*p + 7. Let o(h) = -2*m(h) + n(h). Determine o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 11. Let d be c(-6). Suppose 0 - d = q. Let f(p) = -460000*p**2. Let l be f(q). Round l to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5624954787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 3. Let o be q(2). Suppose -7*l + 3*l + n = -26, 2*l - 3*n = 8. Suppose -5 - l = -o*t. What is the greatest common factor of t and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 169?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24004 and 1530.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j + 1. Let t(b) = -b**2 + 25*b - 76. Let x(n) = m(n) + t(n). Let f be x(19). Calculate the highest common factor of f and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -2*v**3\/27 + 13*v**2\/9 - 8*v - 1976. Solve g(l) = 0.\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3665*m + 4*m**3 + 854*m**2 + 2824 + 732*m**2 + 1899*m - 186*m**2 - 2462*m = 0.\nAnswer: -353, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*z + 11 = 0, 5*h - 4*z + 4 = -15. Let s(o) = -o**2 + 3*o - 1. Let b(t) = 2*t**2 - 4*t + 2. Determine h*b(c) - 4*s(c).\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w - 48*w = 16. Let h(u) = 7*u**2 - 11 + u**3 + 0*u**3 + 28*u - 38*u. What is h(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -340, -534, -728?\nAnswer: -922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-26)\/65)\/((-1)\/360). Let m(k) = h*k - 66*k - 72*k. Let x(f) = -22*f**2. What is m(x(b))?\nAnswer: -132*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23110213 (base 4) to base 2.\nAnswer: 1011010100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 2, b: 1, n: 1, f: 1, v: 1}. Give prob of picking 1 n and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 5*f**2 - 5. Let u be h(-4). Suppose 0 = -4*a - 5*z, -z = -a - 0*a. Suppose -u = -l - a*l. Calculate the greatest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(252) + -5 + sqrt(252) - sqrt(252))**2*-1 + 4 + -5.\nAnswer: -60*sqrt(7) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 27*q**3 - 159*q**2 - 191*q + 996. Determine l(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 5819. Calculate c(54).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l - 1. Let r(m) = -m**3 + 11*m**2 - 11*m + 12. Let a be r(10). Let v(i) = 6 - 2*i - 1 + a*i**2 - 2*i - i**2. What is v(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 710 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-4))\/16*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 297497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30 + -28.7\nAnswer: -58.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -8 - 1. Let b = z - -2. Let x = 28 - b. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120\/361 - -457263\/3971. Let p = 115 - w. Which is the closest to 3\/7? (a) 1\/15 (b) p (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 931704 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2231 + 566 = 2*u - 429. Is u less than or equal to 8069\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.21 + -0.21. Sort -3, m, -0.2 in increasing order.\nAnswer: -3, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 3, 8 in descending order.\nAnswer: 9, 8, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 0. Let b = -0.05 - 0.45. What is the closest to 1\/3 in k, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 12 = -10*p. Let w(k) = -3*k + 3. What is w(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31\/22 + 1\/11. Let l(f) be the first derivative of 1\/4*f**4 - 4\/3*f**3 + j*f**2 - 1 + 0*f. Determine l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -51691828606048?\nAnswer: 51691828606053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25196, -25735, -26268, -26795, -27316, -27831, -28340?\nAnswer: -28843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) -2\/305 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 31, 0 in increasing order.\nAnswer: 0, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182.00000376 + 182. Round y to 7 decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 2*g - 4. Determine m(-7).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 28992*d + 59*d**2 + 0 + 1.\nAnswer: 59*d**2 + 28992*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:27 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285*i + 630*i + 316*i = -645*i - 112164 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 9*c + 1. Let z be i(-9). Let w(n) = -2*n + n**3 - 7*n**2 + 5*n**2 + 3 + z. List the prime factors of w(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57348906 and 366.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/143 and -35\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 0, -4, 30, 4062.\nAnswer: -4, -1, 0, 3, 30, 4062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 9:28 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 + 237. Suppose 2*f + 3 - 1 = 0, 3*f = 5*o + u. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**2\/m))**(5\/7)*m**3\/((m*m\/m**0*m)\/m)*((m**7\/m)\/m*m\/(m\/m**(3\/10)))\/((m\/(m*m**(1\/3))*m)\/(m**(2\/23)*m*m)) assuming m is positive.\nAnswer: m**(5327\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18619749 and 5102.\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + -1 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 197?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 - d - 8. Let y(w) = -w**3 + 7*w**2 + 3*w + 16. Calculate 7*v(u) + 3*y(u).\nAnswer: -3*u**3 + 2*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 68. Suppose -x*q - 4*h = 0, q - 5*h - 30 = -4*q. Suppose -q*w + 1357 = -764. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + 5*2*(-2 + sqrt(245) + 2 + -4 + (-3*sqrt(245) - sqrt(245)))*3)**2.\nAnswer: 149940*sqrt(5) + 1998661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8994 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -1\/9 (c) 5\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6638 - 0.1638. Sort 2\/29, h, -3\/14 in descending order.\nAnswer: h, 2\/29, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3))**(-9\/8) assuming t is positive.\nAnswer: t**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t + 2*t - 14*t - 22*t**2 + 168*t**2.\nAnswer: 146*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -p + 4, -5*p + 4*u + 23 = 3. Suppose -p*s = a + 1, s - a = 2*s + 1. Solve s = -j + 2*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37 - -4ff8c9?\nAnswer: 4ff892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15462 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**7\/840 - i**5\/120 - i**4\/8 - 2*i**2. Let u(m) be the second derivative of v(m). What is the derivative of u(y) wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -188*p - 7892*p**2 + 3272*p**2 - 5148*p**2 + 1105*p wrt p?\nAnswer: -19536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 8*u - 9. Let m be a(-6). Let q be (2\/(-4))\/(2\/76). Is 15 a factor of q\/(-1) + 0\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 x, and 1 u when four letters picked without replacement from {s: 5, x: 1, u: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(10620\/5251) - (-26)\/6*3.\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 19334230\nAnswer: 2\/9667115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 25 (c) -0.1 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77445104?\nAnswer: 2, 11, 131, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 108\/5 - (-2)\/5. Solve x - l = -5*v, 2*x + 5 = 2*v + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*d**3 + 577*d - 577*d - 3*d**3 + 0*d**3 + 2*d**3 - 5*d**2 + d**3 + 5*d**2 + (-2*d - 2*d + 3*d)*(3*d**2 - d**2 - 3*d**2) + d**3 - 3*d**3 + 3*d**3.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (178 - 164) + -19 + -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -26*g - 116. Let q be y(-14). Let t = 299 - q. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24538, -49223, -73958, -98749, -123602, -148523, -173518?\nAnswer: -198593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + (sqrt(133)*-2)\/sqrt(7))*-5 + -2 + sqrt(76) + sqrt(76)\/sqrt(4)*-4 + -3)*5)**2.\nAnswer: -2000*sqrt(19) + 31025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 8*s + 5*s**3 + s + 2. Let p(u) = -2 + 271*u - 265*u - 5*u**3 + 0. Calculate 7*p(n) + 6*r(n).\nAnswer: n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 75249038?\nAnswer: -2\/37624519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 78897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98550 is divided by 40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685855546 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 18*k + 33. Is 5 a factor of z(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 7*f**2 + 4*f - 7. Let n be g(-6). Let d be (-2)\/9 - (-160)\/(-90). Let i = n + d. Which is the third smallest value? (a) 2\/3 (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajj when three letters picked without replacement from uajjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 2 + 18)*(4*t**2 - 2*t**5 - 6*t**2 + 0*t**2).\nAnswer: -10*t**5 - 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3)*(-2 + 20). Let o = v - 5. What is the units digit of 7\/(o + (-1)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 663350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-591)\/4)\/(6\/(-8)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -458*u + 11. Is s(-2) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7335890 by -5630.\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648026.286 plus -0.3?\nAnswer: 1648025.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15, 58, 129, 228?\n\"Answer: 14*q**2 + q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -1 - -1)*41 + -403 + 399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74203 is divided by 10590?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**4 + 57*y**3 + 71*y.\nAnswer: 36*y**2 + 342*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2. Let w(j) be the second derivative of j**6\/240 - 15*j**4\/4 - j**3\/3 - 56*j - 2. Let x(s) be the third derivative of w(s). Determine x(l(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*m + 3*m. Suppose n - m = v - 4*n, 3*n - 10 = v. What is the second derivative of h + 2*h**v - h + 0*h**5 - 3*h wrt h?\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -539 take away -0.029013?\nAnswer: -538.970987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 812750816 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 278 - 150. Let g = -70 + o. Suppose g = v - 5*t, -4*v + 116 = -2*v + 3*t. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*q**2 - 26*q**2 - 1036 + 1037 + 320*q)*(19 - 8 - 17).\nAnswer: 12*q**2 - 1920*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (6 - 15)) + (-1 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 7. Suppose -23*p + 24*p = 10. Put i, -2, p, 3 in descending order.\nAnswer: p, 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 122, 148, 174?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -677 (base 9) in base 8?\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 9:03 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from bbvvpvbvvbvvbbbbpbp.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*i + 3779 = -3973 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25.3 (b) -1 (c) -0.277 (d) -0.1 (e) 39 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1218 and 690209338.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -71 in descending order.\nAnswer: 3, 2, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-4 - -3) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, k: 2, o: 3, a: 1}. Give prob of sequence ok.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3540)\/(-708)*64\/10.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -228 + 231. Solve 3\/7*q + 1\/7 + 3\/7*q**2 + 1\/7*q**l = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 339976913*l**4 + l**2 - 29*l - 1260494.\nAnswer: 8159445912*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f**3 + 2*f**2 - 1. Let q be i(1). Suppose 3*w - 1 = 3*r - 22, 4*w + 8 = 0. Let m be 1*q*(-2)\/r. Sort -1, 1, m in descending order.\nAnswer: m, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*x = 12, 3191 = -3*p + 2*x + 3183 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 29 - (-31 + 8)) + -19 + 35.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6584 - -15997. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*g**3 + 63*g - 95*g**3 - 107*g + 1 in the form d*g**3 + w*g + t + p*g**2 and give d.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 2. Let z(i) = 4*i - 4. Suppose 44*f = -38 - 160 - 66. Calculate f*z(g) + 10*l(g).\nAnswer: -4*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3 + 5*b**2 - 9 - 5. Let q(a) = -4*a**2 + 18. Let j(u) = -6*o(u) - 5*q(u). Find the first derivative of j(d) wrt d.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + (-11)\/(-3))*-9. Let q = h + 5. Is q != -12\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-27)*36\/4. Let h(w) = -w**3 + w**2 + 1. Let u(c) = 4*c**3 - 11*c**2 + 10*c. Let i(f) = t*h(f) - u(f). What is the second derivative of i(b) wrt b?\nAnswer: -6*b + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**5 - 542*l**4 + 5*l**3 - 105083*l**2?\nAnswer: 60*l**2 - 13008*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 561 and 15477.\nAnswer: 263109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 34*i + 117*i - 2*i. Solve 9 = 4*b - i*j + 7, -j - 4 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**4\/y*y**6*y**(-7)*y\/(y*y**(-5))*y)\/((y*y**(-2\/3)\/y*y**(-4\/9))\/(y*y*y**3*y*y**(1\/4))) assuming y is positive.\nAnswer: y**(589\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1172069 and 0.163.\nAnswer: 191047.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = h - 8, -h = 3*h - 4*j + 4. Find the third derivative of -6*z**5 + 7*z**5 + 3*z**5 - 2*z**h wrt z.\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q + q + 0 + 4 + 0*q**2. Let c be n(3). Solve -3*l = 4*u + c, -2*u + 1 = 2*l + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 6*k**2 - 10*k. Let p be f(3). Is p at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16, -233, -718, -1573, -2900, -4801?\n\"Answer: -17*v**3 - 32*v**2 - 2*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**4 + 2*k**3\/3 + 3*k**2\/2 + 3*k + 1. Let l = 148 + -145. Let a(h) = 7*h**3 - 3*h**2 - 5*h - 5. Calculate l*a(d) + 5*r(d).\nAnswer: d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/11 - 328082*a**2\/11 + 656158*a\/11 - 328078\/11 = 0.\nAnswer: 1, 164039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1558\/(-33497))\/(57\/(-43))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20440 and -555.\nAnswer: 19885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) 4.4 (c) 3\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -84\/27611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40, -69, -98?\n\"Answer: -29*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**7\/210 - 2*g**6\/45 + g**5\/6 - g**4\/3 + 5*g**3\/3 + 7. Let h(w) be the third derivative of o(w). Factor h(v).\nAnswer: 4*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by (-37)\/(-222) + (-143)\/(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464006 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35926 by -35926.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126094*q**2 - 2*q + 90274 wrt q.\nAnswer: 252188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/5 - d**4\/4 + 5*d**3\/6 + 3*d**2 - 7*d. Does 25 divide v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/16)\/(135\/(-72)). Is 119 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (0 + 12\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88 + 1 + (-2583 - -2550).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -82*q - 9. Let w be c(9). Is ((-1)\/1)\/(9\/w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6 - (-5)\/(-12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6546 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6118 divided by -266?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 892*o - 3*o**2 + 0*o**2 + 5*o**2 - 2 + 259*o.\nAnswer: 2*o**2 + 1151*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 14. Let s be x(-5). Let w = s - -19. What is the units digit of 750\/20*w\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 + 2*a + 5. Let c(z) = z - 1. Let y be (-1)\/(-3)*(2 + 1). Let u(t) = y*d(t) + 5*c(t). Find the second derivative of u(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 0.63948?\nAnswer: 0.33948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvsb when four letters picked without replacement from ppoovpphbbhshpppvppv.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2726)\/(-8178))\/(1 - (-8)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0 (c) -0.4 (d) 5404 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 1\/2*j**4 - 62*j**2 + 0*j**3 - 46 - 256*j. Differentiate a(y) with respect to y.\nAnswer: 6*y**2 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**0*l**(-1\/12)*l)**(-1\/2))**(2\/29))**(16\/3) assuming l is positive.\nAnswer: l**(-92\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 414 + -3724\/9. Which is the closest to y? (a) -0.2 (b) 2\/7 (c) -1 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.61 + 0.11. Let i = q + 0. Which is the closest to 1? (a) 0.2 (b) -0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2729921\/1806 - 10572\/7. Let o = m + 3\/86. What is the nearest to 0.1 in -3, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/651, -137, 2\/17, 0, 1?\nAnswer: -1\/651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, 4, -2\/9, -0.2 in increasing order.\nAnswer: -126, -2\/9, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/4 + q**4 - 3*q**3\/4.\nAnswer: -q**3*(q - 3)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*y + 6, 3 = 4*r - 5*y - 9. Suppose 3*d + 3*h + r = 0, 3 = -5*d + 4*h + 16. Solve g + d = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -79 in 2\/7, -0.132, -2\/5, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9563, 19118, 28673, 38228, 47783?\n\"Answer: 9555*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 - ((0 - 11) + 16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m - 12. Let r = 10 + -8. Determine f so that 4*f - 2*f**2 - 2*f**3 + r*f**4 + 0*f + 0*f**m - 2*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 - 3 + 3)*(-j**2 - j**2 - 2*j + j)*(14 + 31 - 13).\nAnswer: -64*j**5 - 32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 5, t: 2, a: 1}. What is prob of sequence aq?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s\/s**(1\/10))\/s)**(7\/4)\/(s**6)**(-7) assuming s is positive.\nAnswer: s**(1813\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2222 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7255 + 3969. Let l be (-18)\/48 + i\/(-16). Is 204 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**16*s*s*s*s**(-18)\/s)\/(s**(-16)*s\/(s*s\/(s\/(s*s**(-16)))*s)) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h + 32. Calculate the remainder when -45*(1 + 2\/(-4))*-2 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 471*m**3 + 5*m**2 + 18*m - 6. Let k(n) = -943*n**3 - 8*n**2 - 30*n + 10. What is 3*k(x) + 5*u(x)?\nAnswer: -474*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 2*g + 0*g - 3*g)*(0*g + 3*g + 5*g) to the form k + r*g**2 + a*g and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.053 and 14009.\nAnswer: 742.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**3 - 39*c**2 - 19*c - 10. Give d(-8).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123805 is divided by 123719.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaru when four letters picked without replacement from {z: 1, e: 1, t: 4, a: 4, u: 1, r: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i**3\/7 - 430*i**2 - 106*i + 3760\/7 = 0 for i.\nAnswer: -376, -5\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76807*a**4*o**2 + 133*a**2*o**2 - a**2*o - a*o**2 - 38*a*o + 1 wrt a?\nAnswer: -1843368*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**0*b)\/b)**(1\/27)*(b\/((b\/b**(-3\/4)*b)\/b))\/((b*b\/(b**(-4)\/b))\/b) assuming b is positive.\nAnswer: b**(-721\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + 18*u - 73. What is a(5)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - t)*(39 + 86 + 45).\nAnswer: -170*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20a0c455 + 4?\nAnswer: -20a0c451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*l. Let j(g) be the first derivative of -g**4\/4 + g**3\/3 - 3*g**2\/2 - 40000*g + 17. Let k be j(l). Round k to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 + 412*c\/5 - 7590.\nAnswer: 2*(c - 69)*(c + 275)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176 - 173. Which is greater: 0.014 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o + 8 = 0. Suppose 0 = -0*r - o*r + 72. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3.5, 13526, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 271599, 2173055, 7334155, 17384721, 33954575, 58673539, 93171435, 139078085?\n\"Answer: 271637*f**3 - 3*f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9725*z**2. Let g(n) = -n**2. Determine r(g(v)).\nAnswer: 9725*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**5 + 16328*z**4 - 2557120*z**3 + 7573432*z**2 - 7540796*z + 2508160 = 0.\nAnswer: 1, 160, 3919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 7:16 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15216?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2231 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*z**3 - 3*z**4 + 6*z**4 + 40*z**2 + 3*z - 31*z**2.\nAnswer: 3*z*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*x + 48. Suppose 0 = -5*p + 5*v + 40 - 10, 3*p = 5*v + x. What is the units digit of ((-2)\/p)\/((-2)\/63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28402203 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, l: 3, c: 2, m: 2}. What is prob of sequence il?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.231845 + -0.102954. Round i to three dps.\nAnswer: 0.129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 760 + -317. Let x = r + -442.91. Which is the fourth smallest value? (a) 5 (b) -1\/4 (c) 1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -30*v + 505. Determine u(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 38 - -201713\nAnswer: 201751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -455 (base 12) in base 10?\nAnswer: -641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.94 + 0.06. Let a = r + -43.1. What is the closest to a in 1\/3, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6751054 rounded to the nearest ten thousand?\nAnswer: 6750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2628 - 1?\nAnswer: -2630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -168 + 145 + (34 - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 32 = -4*w. Which is the closest to -2\/3? (a) w (b) -21 (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261437 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 5*d + 19. What are the prime factors of r(7)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + -47 - (37 + -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1564*q**2 - 3232*q**2 + 1821*q**2 + 30 + 44 in the form a*q**2 + f*q + c and give a.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 8*q**2 - 6807*q + 47614. Give h(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*j - 21, -2*j + 1 + 11 = 3*p. Suppose 20 = x - 3*k, 2*k = -x - j*k - 20. Calculate the remainder when 57 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -371, -365, -359?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**3 + 3625*g**2 + 332080*g - 678700 = 0. Calculate g.\nAnswer: -617, -110, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -55. Let k = 28 - 0. Calculate the greatest common divisor of p and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/18807 and -14\/9?\nAnswer: 56421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -1428, -3132, -5434, -8286, -11640, -15448, -19662?\nAnswer: -24234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-38 - -15) + 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -450 - 210*z + 7*z**3 - 1\/2*z**4 + 11\/2*z**2 = 0.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62.007 - 62. Let f = 42.007 - s. Let l = f - 41.5. Which is the closest to -22? (a) l (b) 0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.43 + 2121\nAnswer: 2122.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3075 is divided by 85?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 6*o + 3. Let i be x(-5). Let b be (i\/6)\/((-9)\/81). What is the second derivative of -4*k**b - 11*k**3 + 8*k**3 + 9*k wrt k?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 779.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 45*y - 44.\nAnswer: -(y + 1)*(y + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135\/(-25)*(-7 - -2)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-260)\/52*(4\/(-30)*-21)\/(-2). What is the third smallest value in -1\/146, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/28, -1\/14 in increasing order.\nAnswer: -5, -3\/28, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.63, 1, -571 in ascending order.\nAnswer: -571, 0.63, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (49 + -71 - 41) + 22\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -31. List the prime factors of 70\/9 - (-4)\/c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -45. What is the remainder when x is divided by 3\/(1 - (-2 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 18 = -11*f, -156 = 3*v - 5*f. Which is smaller: v or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 285, 1169, 2643, 4707, 7361, 10605, 14439?\n\"Answer: 295*d**2 - d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 + 4 - 4 - 8 - 11*i**4 + 6*i**4 + 3*i**4 + (-52*i + 13*i**2 + 52*i)*(i + i**2 - i) as m*i + k*i**4 + g*i**2 + q*i**3 + l and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/19))**30)**12 assuming j is positive.\nAnswer: j**(7560\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1891.3407325 to the nearest 10.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {s: 1, n: 2, j: 3, z: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 - 4*j**2 - 2*j. Let u(b) = 4*b**3 + 9*b**2 + 5*b. Let q be 0 + 2 + (0 - -3). What is q*i(n) + 2*u(n)?\nAnswer: -2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 97*l**3 + 10*l**2 - 452*l. Let j(c) = 2*c**2 - 2*c. Let u(v) = 5*j(v) - s(v). What is the second derivative of u(a) wrt a?\nAnswer: -582*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + m**2 + 2*m + 1. Let s(c) = -4*c**3 - 2*c**2 - 21*c - 5. What is -6*r(d) - s(d)?\nAnswer: -2*d**3 - 4*d**2 + 9*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4140*p = -35001 - 18819 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**2. Let m(a) = -166*a - 1. What is m(s(t))?\nAnswer: 498*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i**(2\/29)*(i\/(i**(-1\/26)\/i))\/i**(-1\/12))**24 assuming i is positive.\nAnswer: i**(19822\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 b when four letters picked without replacement from {t: 3, b: 13}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 211475*p**5 + 161209*p wrt p.\nAnswer: 4229500*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411413334 (base 5) to base 4.\nAnswer: 12113223110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/3 - 128910*d**3 + 8311599396*d**2 - 178865278017192*d + 11235556000137168.\nAnswer: 2*(d - 64434)**3*(d - 63)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -456\/163 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -16*k. Find the common denominator of r(-2) and 51\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 2*n + 101. Suppose -24 = -3*d - 2*u, 5*u + 40 = 2*d + 3*d. Let f be z(d). Calculate the highest common divisor of 147 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 64 - 67*t**2 - 60 - t. Let r(q) = 67*q**2 + 2*q - 3. Let z(u) = 2*b(u) + 3*r(u). What are the prime factors of z(-1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 5*t**2 - 41*t + 289. Give v(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38851 + 38848.8. Let s = 0.1 + -0.1. What is the nearest to o in 0.5, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 + 3*w + 10. Calculate p(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19966, 1211, -3 in increasing order.\nAnswer: -3, 1211, 19966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 2. Suppose v*u - u = 3*l - 34, -3*u = l - 2. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*t = -5*t + 747, 5*g + 3*t - 925 = 0. Suppose 5*k = 3*m + g, 112 = 4*k + m - 35. Suppose 0 = 5*c - k - 33. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21730, 21723, 21722, 21733, 21762?\nAnswer: 21815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15345126.\nAnswer: 2, 3, 94723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.2 + 6.63. Let a = u + -0.4317. Round a to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:57 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 66038 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-54))\/(16\/156). Let m = p + 2\/9. What is the third smallest value in -0.3, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1552.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (-6*(sqrt(1088) + (sqrt(1088)*-5)**2) - sqrt(1088)))*3.\nAnswer: 168*sqrt(17) + 489591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2449\/7 + -4891\/14. Put 2\/3, 5, -3, -2.1, w in descending order.\nAnswer: 5, 2\/3, w, -2.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-6*(sqrt(117)*3 - sqrt(117))*-4)\/(sqrt(1296) - (sqrt(1296)*2 + sqrt(1296)) - (1*sqrt(9) - sqrt(9))*1)*2.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + c - 2*c)*(165*c**3 + 15*c**3 + 252*c**3).\nAnswer: 1296*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbvbbbbbbbbbb. Give prob of picking 1 b and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r - 8. Find the second derivative of -3*p + p**r + 2*p**4 + p**4 wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -423 - -338. Calculate the remainder when ((-17)\/a)\/((-3)\/(-1845)) is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/55)*z)\/(z*z**40))**(16\/9) assuming z is positive.\nAnswer: z**(-11744\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 4*x**2 - 1 + x + 8 - 9 - 7*x - 7*x**2.\nAnswer: -3*x**2 - 6*x + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*x - 2*s + 17, -10 = -4*x - 2*s. Suppose -5*z = -9 - 6, -407 = -j - x*z. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -5. Suppose t*w - 4*w = 0. Which is smaller: -7\/6 or w?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 105 = 330. Solve -v = 12*h - 17*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9442752961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*o + 37*o - 7*o + (o + 1 - 1)*(-3 - 1 + 6).\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 28*x - 17. Suppose -5*o + 9 = 4*m, -5*o + 4*m + 26 = -3*o. Solve -w + x = -4*u, 0*u = u - o*w + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -2*b**3\/3 + b. Let n(f) = 5*f. Let h(c) = 8 - 3 - 5 - 3*c. Let i(x) = -8*h(x) - 5*n(x). Calculate i(z(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 79 = -4*m. Does 26 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 321*w - 332*w + 55. Solve 4*d + 4 = 4*t, 0 = w*d - 4*d - 2*t - 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2036295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199682, -399580, -599478, -799376, -999274?\nAnswer: -1199172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5597*b*v**4 - 5*b*v**2 - 10*b*v - b - 2*v - 309 wrt v?\nAnswer: 67164*b*v**2 - 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*b**3 - 93688812*b**2 - 14927973780159*b - 29855572806246.\nAnswer: -3*(b + 2)*(7*b + 2230679)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27145144945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1785*n**2 + 8. Let f(c) = 708*c**2. What is y(f(a))?\nAnswer: 894756240*a**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 4*o - 73269 = 0, 23*j + 2*o + 52335 = 28*j. What are the prime factors of j?\nAnswer: 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, 0.2, 49, -59, -2\/7, -4, -1\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 1, q: 2, d: 2, g: 1, a: 1}. Give prob of picking 1 q and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(16\/5))\/((k**(-7)*k)\/k)*k\/(k*k**(2\/15)*k)*k**(-8) assuming k is positive.\nAnswer: k**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 11120*z + 11120*z - 2*z**3 + 3*z**2 to the form r + d*z**2 + v*z + i*z**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 485 - 462. Let z be 2304\/60 - (-4)\/(-10). Let m = z - 14. Is m < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r. Let i = 12 + -7. Let z(t) = 7*t + t - i*t. Let l(p) = -p. Let w(x) = 2*l(x) + z(x). What is y(w(c))?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*r + 3. Let a be (r - -2)\/((-1 - 0)\/(-1)). Is 31 a factor of 7\/((-105)\/(-1398)) + a\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q + 3*h + 7, 4*q - 44 = 4*h. Suppose -q = w + 8. Let o = 14 + w. Put -5, o, -2 in increasing order.\nAnswer: -5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p - 8. Let n(k) = 4*k - 3. Let u be 1 + 4\/(-3 - -1). Suppose -2*g + 29 = 5*w, -4*w - 3 = 2*g - 27. Let j = g - u. Calculate j*x(y) - 8*n(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/35, 0.2, -0.2, 5\/4, -0.5 in descending order.\nAnswer: 5\/4, 0.2, 3\/35, 0, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/5, 12584, 0.17 in decreasing order.\nAnswer: 12584, 0.17, -12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1726\/31 or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -676 by -338.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 798501, 1596994, 2395475, 3193938, 3992377, 4790786?\n\"Answer: -x**3 + 798500*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -98*i**2 + 84*i - 1. Let c(q) = -98*q**2 + 67*q - 1. Give -4*b(j) + 5*c(j).\nAnswer: -98*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12.4 (b) -0.1 (c) 573 (d) -5 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -618*s. Let m(i) = -23*i. Determine z(m(b)).\nAnswer: 14214*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4563?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15224844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 - 51. Suppose 8*h - 10*h = -f. What is the highest common factor of h and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 10. Let z be 75\/9 - (-6)\/h. Solve 5*l - 16 = z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 4 (c) 15 (d) -1\/7 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 12 + 2*g**3 + 0 + 0 - g**3 + (-1 - g + 1)*(1 - 1 + 2*g**2) - 2*g**3 + 3*g**3 + g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6356.34ug to grams.\nAnswer: 0.00635634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 4*p**2 - 3*p - 6. Let b be m(5). Suppose o + 17 = b*h + 7, -2*h = 3*o - 12. Is 268\/22 - o\/11 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3360 divided by -1120?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*d - 118*d + 45*d - 63 = -3*o, -110*d = 4*o - 394 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/(21\/(-28)). Let x(j) = -22*j**3 - 3*j**2 + 5*j + 0*j**i + 21*j**3. Is x(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 + -0.06. Let u = 2 + -6. Let t = -7 - u. Put t, -5, y in ascending order.\nAnswer: -5, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/4 - 5\/(-20). Let u(a) = -a - 1. Let p(d) = 21*d - 2. Let l(q) = j*u(q) - p(q). Is l(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 74942400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:43 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42 and -2?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43418598, 43418600, 43418602, 43418604, 43418606, 43418608?\nAnswer: 43418610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93 - 51. Let f = 42.33 - y. Round f to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 43 - 49 = -3*q, -2*q + 72 = 4*r. Solve -15 = -l - 3*h, 3*l - q = -l - 5*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 2*p + 7, -4*h + p + 128 - 127 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 5:43 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 37 + 41 = 30 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = 8. Let w be ((-32)\/c)\/((-8)\/12). Suppose -w = -5*t + 1, 0 = 4*k + 3*t - 271. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 4 (b) 0 (c) 0.03 (d) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-2*j + j - j) - 5*j + 3*j + 0*j + 4*j - 3*j - 3*j + 101 - 101 - 6*j + 6*j - 4*j - 3*j + (2 - 1 + 1)*(-2 + 2 - j) + j + 0 + 0.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/114 and -43\/988?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 681845 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f - 18. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4147 - 1102604?\nAnswer: -1076435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1061822755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 16 = -29*l. What is the remainder when 171 is divided by (0 + -4)\/l*50?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -683*k*y**3 + 586*y**3 with respect to k.\nAnswer: -683*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.74 - -2.61. Round s to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*h - 5*q - 1094, -4*q - 670 = 3*h. Let s = h - -1086\/5. Let b = -58 + 59. What is the nearest to b in -5\/3, 2\/21, s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3151211 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 243. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - n**3 + n**3 + 3*n**3 - 1 - n in the form o + f*n + y*n**2 + d*n**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u**2. Let x(m) = -2*m**2 + 396753. What is x(o(t))?\nAnswer: -162*t**4 + 396753","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-49))\/(2\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3348 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: What is the tens digit of 13053238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 11) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39 and -279199.\nAnswer: 10888761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/5 - 162*c\/5 + 159\/5.\nAnswer: 3*(c - 53)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 271534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 281, 28\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -17 + 13 + (-11 - 7).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 495608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 - -83. What is the remainder when 17 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -20*m**3 + 22*m**2 + 53*m + 7. Determine r(-3).\nAnswer: 586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44251 - 3?\nAnswer: 44246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 5*k**2 - 4*k - 1. Let r be g(-4). Suppose 0 = -23*v + r*v - 744. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 7*f + 5. Let d be x(8). Let w = 2288 - 2275. Calculate the highest common factor of d and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 28 = 3*o, 1559*s + 3*o - 29 = 1561*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -193 + 214. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 9) to base 7.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-25))\/((-6)\/(-15)). Sort -3, 4, b.\nAnswer: -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgbybtbbtgbhgb. What is prob of picking 1 h, 2 b, and 1 g?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**4\/4 + 2*p**2. Let h(z) = -33*z - 2*z**2 + 73*z - 40*z. Calculate i(h(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 49507164 divided by -3536226\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863322 is divided by 602.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 594\/21569 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**2 + 90. Let w(t) = -89*t. Determine s(w(i)).\nAnswer: 178*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/22)\/(-3))\/((2\/6)\/(244\/183)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 3 = -w. Let h be 1 + w + -7*1. Let j be (-2)\/h - (-120)\/(-175). Which is the second smallest value? (a) 3 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, w: 1, m: 2, d: 1, n: 3, o: 9}. What is prob of picking 2 n?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.016 and 624.\nAnswer: 1257.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4102333443403 + 0?\nAnswer: -4102333443403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-12) - 63\/(-12). Let t = -3 - u. Let d = t - -19. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -3954.\nAnswer: -7\/3954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33399711?\nAnswer: 3, 1637, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v - 39. Let w be x(19). Let y(f) = -f + 6. Let k be y(-5). Let r = w + k. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.05758 - -0.052161. Let p = r + 0.0052. What is p rounded to five dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705014389 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/37 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -19*-2*(-2)\/(-4). Solve -h*y - 14 = -12*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvfv when four letters picked without replacement from vfvvf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 1399 + 2729 = 0. Suppose -2*y - y = -2*q - 572, -3*q + 3*y - 855 = 0. Let r = q + f. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1. Let j(b) = 3 + 14*b - 24*b + 7*b. Determine j(i) + n(i).\nAnswer: -3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**2*j**2*s - 9*f**2*s + 4*f*j*s + 9*f*s - 2*j**2*s wrt f?\nAnswer: -6*j**2*s - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = g + 6, -4*g - 43*t = -36*t + 33 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-48)*4*(-20)\/(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110*x**3 - 2*x**2 + 3*x - 122?\nAnswer: -660*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103755 is divided by 2800.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 14193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - 7*o**2 - 7*o + 1. Let n(k) = k**3 - 6*k**2 - 6*k. Let j(y) = 3*n(y) - 2*r(y). Let f be j(-3). Sort 4, f, -7 in descending order.\nAnswer: 4, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1519672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a + 830 = 2054. What is the closest to a in -4, 2, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 0 - 5\/2*i**2 - 3*i + 1\/3*i**3 + 1\/12*i**4. Calculate the remainder when 37 is divided by n(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 53544?\nAnswer: 53536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (29400\/(-61250))\/(8\/170)?\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10582, 10568, 10538, 10486, 10406, 10292?\nAnswer: 10138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107092 and 4100.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 7*c**2 + 102*c - 662. What is w(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 208799 and 97?\nAnswer: 20253503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 2*l - 3 + 3*l + 1.\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 5320?\nAnswer: 3\/5320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 13537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y - 1661 = -1796 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 59*f**5\/60 - 20*f**2. Let z(d) be the second derivative of d**4\/6 + 48*d. Determine z(r(a)).\nAnswer: 6962*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from {m: 1, r: 4, l: 7, n: 1}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -21691555?\nAnswer: 4338311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 200*h**3 - 395*h**2 + 240*h - 45.\nAnswer: 5*(h - 1)*(5*h - 3)*(8*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from {e: 12, q: 7}?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/13 + 1360\/221?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w - 32 = 0. Suppose 75*k - 117 = -42. What is the highest common factor of k and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 - 18*x + 37. Let y(g) = 10*g**2 - 56*g + 113. Let k(m) = -7*w(m) + 2*y(m). Factor k(l).\nAnswer: -(l - 11)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -12) + (0 - (-4 + 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 80.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3487 is divided by 218.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 greater than 2174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1766 = 17*w - 665. What are the prime factors of w?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1955\/4 + 488. What is the closest to t in -2, 4, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -7. What is the third derivative of -d*p**6 + 10*p**2 - 21*p**2 + 9*p**2 wrt p?\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -s - 14, 0 = 5*s + 921*y - 916*y + 30. Calculate the smallest common multiple of s and 2930.\nAnswer: 2930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 333\/(-63) + (-4)\/(-14). Suppose 0 = -3*m + 15, b + 0*b = -2*m + 5. Is x smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, a: 2, u: 4, v: 4}. What is prob of picking 2 a, 1 v, and 1 u?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 279541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*o - 4 = 0, j = 2*o - 4*o + 10. Let s be 4\/(-8)*(-60 - j). Let w(g) = -3*g + 7. Let d be w(-5). What is the highest common divisor of d and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**8\/10080 - a**7\/840 - 7*a**6\/720 - a**5\/20 + 3*a**2. Let u(h) be the third derivative of c(h). Give u(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(-15) + 0\/2 - -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/14)\/((-441)\/(-1029)). Let d(h) = 65*h - 55. Let r(g) = 16*g - 14. Let a(c) = 6*d(c) - 22*r(c). What is the units digit of a(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**6\/120 - 7*l**5\/60 + 25*l**4\/24 + 11*l**3\/2 + 119*l**2. What is the tens digit of u(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566 = 3*m + w, -7*m - 4*w = -3*m - 768. Let t = m - 128. Suppose g + o - 75 = t, -2*o + 136 = g. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -28. Let m(j) = j**3 - 13*j**2 + 15*j + 3. Is m(f) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1252 is divided by 176?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 30*n**3 + 235*n**2 - 420*n + 220.\nAnswer: -5*(n - 2)**2*(n - 1)*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -38212 divided by -2\nAnswer: 19106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfdfyy. Give prob of picking 1 y and 1 f.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*f + 5. What is the least common multiple of -2 - f\/(2\/18) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 7:53 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4287, -7948, -11609?\n\"Answer: -3661*o - 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41580100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**5 + 7470*w**4 + 304820*w**3 + 3038120*w**2 - 1219200*w - 12272000 = 0.\nAnswer: -20, -2, 2, 1534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-5)\/(-20)*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 332*c**2 - 353*c - 618. Calculate z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153 - -153. Suppose 10 = -r + 2*r. Suppose 4*z - r = -2. Solve 5*l - q + 5 = j, -28 = -z*l + 6*l + 4*q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 2*p**2 + 2*p**3)*(-643 - 6617*p**2 + 6615*p**2 + 3703).\nAnswer: -4*p**5 + 6120*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 3534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27\/13 - 203\/104. Let n(d) = -d**3 + 2*d**2 + d. Let u be n(2). What is the nearest to 0 in -0.2, b, u, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1\/((-2)\/(-74)). Let s be (-2)\/(-5) + z\/10. What is the third derivative of h**4 + 2*h**2 - h**s - 2*h**6 wrt h?\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3 - 15 + 16 - 2*x - 6 - 9. What is k(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2110 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 38*l**2 - 77*l + 1181. What is the tens digit of x(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + -1*sqrt(3) + 1.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/4 + -5 + 4)*(-6 - -271159) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = 4*k - 2*l + 15128 - 15152, -22 = 3*k + l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 226, 653, 1456, 2761?\nAnswer: 4694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 234*d - 5. Let y be l(2). Let k = -252 + y. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v*(((v\/v**(-4\/9))\/v)\/v)\/v*v*v*v*v)*v**8)\/(v**1)**(-25\/6) assuming v is positive.\nAnswer: v**(157\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**7\/630 + 29*k**4\/12 + 10*k. Let h(d) be the third derivative of t(d). Let c(l) = -11*l**2. Determine h(c(m)).\nAnswer: -484*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 42930512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49379 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-5)*1\/(-14)*7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 5\/4 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122202020121 (base 3) to base 4.\nAnswer: -1111102321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/17 and 6*1424\/1632*1\/(-6).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6 - 52044\/(-9). Suppose 4*x + 297 = -f + 2213, -5*x + j = 3*f. Let q = f + -816. What is q rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-19)\/57)\/((-1)\/3). Let d = i - 23. Let n(l) = -l**3 - 22*l**2 - 6*l + 16. Is n(d) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3233015 to two dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((13515\/(-6))\/(-5))\/(7\/14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + -10 - 60) + 141?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -51, -37, -17, 9, 41, 79?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -175 + 218. Suppose 31 = v + 2*q, -3*q = 2*v - p - 17. What is the remainder when 156 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 738\/35 - 3879\/175. What is the common denominator of l and -31\/565?\nAnswer: 2825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + -1 - (-1*(sqrt(17)*-2 - sqrt(17)) + sqrt(17) - sqrt(17)).\nAnswer: -sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(-25\/4)*n))\/(n\/(n**(-1\/3)*n)*n) assuming n is positive.\nAnswer: n**(-91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a week in minutes?\nAnswer: 77280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 41. Let j = 1956.0044 - 1972. Let m = y + j. What is m rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 times -0.9\nAnswer: 36.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71 and 581419?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*v, -5*g + v + 115 = -g. Is 29 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -23*i + 22*i - i**2 + 3 - 2. Let p be f(2). Let j(r) = -r**2 - 4*r + 3. What is j(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/5 - (-428 + -5). Suppose -2*z = 3*x - u, -5*z + 24 = -5*x + 749. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -115, -42, 29, 98, 165, 230, 293?\n\"Answer: -d**2 + 76*d - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*k - 17*k - 27*k.\nAnswer: -92*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 h, and 1 p when four letters picked without replacement from qrhpgrho?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*i**5 + i**4 - 977*i**2 - 315857*i.\nAnswer: -1900*i**3 + 12*i**2 - 1954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.281*64\nAnswer: -81.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 76991*u - 1000875. Give v(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 80.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1\/3 (c) -0.02 (d) -8785\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -16. Find the common denominator of (39\/(-60))\/(y\/(-30)) and 69\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 7. Find the first derivative of 0*v + 2*v - 1 + f*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118949616 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267086667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 + 21 = -2*i. Let f = 467 - i. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(1745\/870 - 2)*-3?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 185, 18\/11, -3 in decreasing order.\nAnswer: 185, 2, 18\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 4369302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeeeteeeeeee. Give prob of picking 1 t and 3 e.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 568 - 486. What are the prime factors of r?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-15)*1495\/4186*18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 23*o + 21. Let g be b(15). Let w = 103 + g. What is the smallest common multiple of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**2 + 4*t + 5. Let s(d) = 6*d**2 - 5*d - 6. Calculate -3*i(l) - 2*s(l).\nAnswer: 3*l**2 - 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9654 - 9634. Solve 2*z - 5*m = -28, 203*m = 208*m - f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 18. Suppose 4*u + v + 2*v - 15 = 0, 5*v + 15 = 0. What is the remainder when u is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 112 - 64. Let y(p) = -p**3 + 6*p**2 - 5*p - 2. Let j be y(5). What is the smallest common multiple of j\/8 + (-33)\/(-4) and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9558? (a) 2\/9 (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(4\/8) + 1. Let i = -117 + 37. Let g = i + 86. Put g, 5, y, -4 in increasing order.\nAnswer: -4, y, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/162 and 97\/7204.\nAnswer: 583524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17\/10 of a millennium?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -8*h + 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0)\/((6\/1)\/(-130 + -44))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 62*t**3 - 7*t**2 + 6*t. Let y(j) = -187*j**3 + 20*j**2 - 17*j. What is -17*o(f) - 6*y(f)?\nAnswer: 68*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-9)\/27).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-21))\/(8*2\/28).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-49399974)\/(-65) + 2\/5. Round x to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 < 1.029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(70\/(-76) + 1). Calculate the common denominator of -4 + 4 + u\/32 and 109\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/390 - 5*x**4\/52 + 18*x**3\/13 - x**2 - 23*x. Factor b(p).\nAnswer: -2*(p - 3)*(p + 18)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 2. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from qhhhhxqq.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50\/13? (a) -0.04 (b) 9\/28 (c) 3\/7 (d) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -6.1. Let k = u - -0.2. Let t be (30\/21)\/(-2) - -1. What is the biggest value in k, t, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 119094639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 910?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Let x = 71 - 59. Suppose -177 = -x*m - 165. Put k, m, 5 in descending order.\nAnswer: 5, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(70)\/sqrt(90)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q + 5*q**2 + 11*q - 34*q + 15*q.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**5 - 43*t**2. Let c(x) = x**5 - 14*x**2. Let j = -30 + 32. Let p(g) = j*z(g) - 7*c(g). What is the third derivative of p(o) wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 14*x. Suppose -3*c + 99 + 183 = x. Suppose -6*h + 26 + c = 0. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -612, -1231, -1864, -2517, -3196?\n\"Answer: -u**3 - u**2 - 609*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90923.\nAnswer: 7, 31, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74834, -74814, -74794, -74774?\nAnswer: -74754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*w + 75 = 0, -w = -p - 0*p - 78. Is p at most -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 41 = 4*i. Suppose i*p + 15 = 3*p. Is p - 0 - -126 - 4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)\/u)**(-46)*(u*u**(2\/23))\/u**(1\/5)*u*u**(-3\/5)*u*u**(-1)*(u*u\/((u*u**1*u)\/u))**(-10\/3) assuming u is positive.\nAnswer: u**(11024\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.01 + -8. Let h = s + 0.19. Put h, -5, -2\/9 in descending order.\nAnswer: h, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*u**4 - 2128*g + 13*u**4 + 14953*u**2 - 15 wrt u.\nAnswer: -4*g*u**3 + 52*u**3 + 29906*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**4 + 4*p**4 + 2*p**4 + (0*p + 3*p - p)*(1 + p**3 - 1) + 452*p**4 + 387*p**4 - 308*p**4.\nAnswer: 535*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 23, -7 in decreasing order.\nAnswer: 23, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 367000 to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 55484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2509729601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**9\/7560 + u**7\/420 - u**6\/180 - 9*u**4\/2 + u - 8. Let h(q) be the third derivative of o(q). Factor h(g).\nAnswer: -2*g*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5418669.\nAnswer: 3, 1806223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14714, 29433, 44152, 58871, 73590?\n\"Answer: 14719*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - (4*(sqrt(228)*-2 + sqrt(228)) - sqrt(228)))*5)\/(-1*sqrt(300)*2))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*i - 8*i**2 - 19*i - 2*i**3 + 4*i.\nAnswer: -2*i*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from tataataaatattaaaaat?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 129433 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-24) - 17\/(-6). Suppose k*d - 151 = 206. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 5 + (21 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23345 = 970*m - 197*m + 67096 for m.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 x, and 1 t when four letters picked without replacement from xxtttxjtjxxj.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + l + 7. Suppose 0 = 3*q + 4*j + 20, -4*q - 80*j - 10 = -78*j. What is a(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*r + 4*r. Let u(m) = m - 2. Let f be u(r). Solve 3*i + f*i = 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:49 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 19. Let h(l) = 8*l + 10 + 6*l - l**g - 9*l + 2*l. Calculate h(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64343801 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 1816 - 1836 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/10 - 416\/(-65). Suppose -i*o = -12*o + 220. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + sqrt(128) + sqrt(128) + -1 + -3) + -5)*5.\nAnswer: -295 + 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-155 + 156)\/(0 + -2 - 3\/(-1)). Let h = 34 - 29. Let p be 1\/(-5) + 1\/(-20). Put p, h, j in increasing order.\nAnswer: p, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r + 5. Let w be h(0). Solve -2*v = w*p + 10, 0*p = 4*p - 5*v - 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125\/3 + -41. Let r = -0.04 - 0.36. What is the second biggest value in w, 3, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-2600)*(-15)\/((-180)\/(-16)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -46, -94, -142, -190, -238?\n\"Answer: -48*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8384, 16813, 25242, 33671, 42100?\nAnswer: 50529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*u + 21 = -11, -2*y + 14 = -2*u. Let x(v) = v**2 - 4*v + 12. Let t be x(10). What is the greatest common divisor of y and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 264*q + 140*q - 1 - 19*q**3 + 133*q as r*q + u + t*q**3 + h*q**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**2 + 2*q - 2. Let k be g(2). Suppose -2*x = -8, -3*v - k = 4*x - 7*x. Solve -t = -v*t - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -623 + 746. What is the least common multiple of k and 30?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.4597 + 7.43. Round p to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, -1\/3, 2, -6\/7, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*j = 1. Let p be (j\/3)\/(2\/12). Sort 2, 5, p in increasing order.\nAnswer: p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12*v - 179. Let x be h(-14). Sort -5, -1, x in descending order.\nAnswer: -1, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/9 + 8*t**4\/3 + 8*t**3.\nAnswer: 2*t**3*(t + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 9:24 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 divided by -70197?\nAnswer: -263\/70197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/22*13827\/(-67878))\/((-5)\/(-4)).\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -568045\/184954 + -2\/13211. Find the common denominator of g and -3\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 - -36?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2520 is divided by 1364.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2220370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100000001011000111 (base 2) to base 7.\nAnswer: 15155356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1360 - -1359.9438. Round g to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.3 and 1193.\nAnswer: 1190.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16861 and 1267169.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5388064\/31 - -173828. Which is smaller: 2\/9 or n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m + 5*m. Let x(a) be the second derivative of m*a**5 - a - 1\/120*a**6 + 1\/24*a**4 + 0 + 0*a**3 - 1\/8*a**2. Determine l, given that x(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 85. Let u(s) = s**3 - s**2 + 4*s + 3. Determine u(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -437, 4, 172 in ascending order.\nAnswer: -437, 4, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2850 and -22.31?\nAnswer: 2872.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9880 rounded to the nearest one hundred?\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1481085890.\nAnswer: 2, 5, 953, 155413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**2 + 662*z - 2111. Give i(107).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3704 divide 282822624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/4 (b) 52 (c) 35 (d) -7 (e) 3 (f) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, -49, -137, -225, -313?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-3))\/b*b*b**(-1))**26\/((b**(-1)*b**4)\/(b\/b**1)**(5\/13)) assuming b is positive.\nAnswer: b**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -369037?\nAnswer: 65\/369037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25325, 50656, 75987, 101318, 126649, 151980?\n\"Answer: 25331*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -33 - 5*j + j - j + 32. Let b(v) = 4*v + 1. Calculate 3*b(t) + 2*r(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (18\/147)\/((-6)\/(-210)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:28 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -39*b**2 + b - 2. What is v(1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*sqrt(84)*-3*1)\/((sqrt(144)*4)\/sqrt(12) - (1*sqrt(144) + sqrt(144) - sqrt(144))\/sqrt(12)).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2299))**2 - (sqrt(1216) - (sqrt(1216) - (1 + sqrt(1216) - sqrt(1216)))**2).\nAnswer: -24*sqrt(19) + 3516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -3 + 21\/3. Suppose -85 = -t - 3*n, -x*t + 192 + 97 = -5*n. List the prime factors of t.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*d = 60, -u - 2*d + 7*d = -15. Suppose -2668 = -u*j + 6482. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8669*h**2 - 7963*h**2 + 16613*h**2.\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.87148 to two decimal places.\nAnswer: -1.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4902389.\nAnswer: 37, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10375521 rounded to 4 decimal places?\nAnswer: -0.1038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38410 by -7.\nAnswer: -38410\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7001*f**2 + 6297.\nAnswer: 14002*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6511760?\nAnswer: 2, 5, 23, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 280744?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*sqrt(5) + sqrt(5) + 5 + (sqrt(35)\/sqrt(7) + sqrt(5))**2 + sqrt(5) + -1*(sqrt(45) + 0)**2 + -3.\nAnswer: -23 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -1. Let d be (-1)\/(-4) + (-133)\/84. Let o be (-17 + 15)*(-1)\/10. What is the nearest to 0.1 in d, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175943493 to the power of 1\/2, to the nearest integer?\nAnswer: 13264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 163029*b**3 + 0*b**2 - 163027*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*v = -3670*v + 47655 + 46155 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 6:15 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240777*w + 800956*w + 387873*w + 181661*w + 462969*w.\nAnswer: 1592682*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 + 153.8. Let s = g - 86. Let o = s - -17. Which is the closest to -2\/3? (a) -5 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*x + 60*x + 49*x - 161*x.\nAnswer: -812*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 5. Let p be 16*(0 + 1\/(-2)). Let u be 3 + p\/2 - 0. Sort u, 5, j in increasing order.\nAnswer: j, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1874\/9 + -208. Which is the nearest to 1? (a) -2\/11 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.2 > 380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8454, 6114, 3772, 1428, -918, -3266?\n\"Answer: -c**2 - 2337*c + 10792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.945 + -0.055. Let v = w + 114. Let f = -81.999939 + v. What is f rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 72, 0, 4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5779\/11 - -526. Sort 4, -2\/9, b.\nAnswer: -2\/9, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - (2 - (-2 - -10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 18*s - 14. Let v be p(-22). Let q = -52 - v. Calculate the remainder when q is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*s + 21*s + 253 - 11 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 1152.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7547*w**2 - 2531*w**2 + 0 - 2475*w**2 - 2533*w**2 + 0.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 891*d = -209*d + 63800 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 + 129.22. Let s = t - -40.78. Let q = s - 39. What is the biggest value in -0.5, q, -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2 in ascending order.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + l**4 - 2*l**4 + (-2*l - l + 2*l)*(3*l**3 - l**3 - l**3) - l**4 + 2*l**4 + l**4 - 1224*l**4 + 7*l**3 - 7*l**3 + 450*l**2 + 1215*l**4.\nAnswer: -7*l**4 + 450*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 49*r**2 - 51*r + 2025. Let i be v(-47). Let m(c) be the second derivative of c + 5\/4*c**3 + 3\/2*c**2 + 3\/40*c**5 + 1\/2*c**i + 4. Factor m(p).\nAnswer: 3*(p + 1)**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28702, 57353, 85942, 114469, 142934, 171337?\nAnswer: 199678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -101? (a) -1\/4 (b) -2\/3 (c) 1\/8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (4*(-1)\/(-16))\/((-2)\/(-248))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 191140195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-267374)\/(-3109)*2\/(-4)*-1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -14 - 0. Let p be 2\/(-14) + (-29)\/b. Let t = 4 + -1. Solve u - t*i + 21 = -8*i, 2*u + p*i + 18 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 2, -4.4, 0.5 in ascending order.\nAnswer: -4.4, -2\/13, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 70*i**3 - i**2 + i + 8. What is the hundreds digit of d(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9031314900 rounded to the nearest 1000000?\nAnswer: -9031000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 6. Let u be p(-1). Let c(o) = o**2 - 3*o - 3. Let q be c(u). Solve q*x - 20 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1428\/36)\/17*3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*4\/6)\/(9\/((-4698)\/(-145)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 - 0.235. Let o = t + 0.565. Round o to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*v + 23 = 0, -5*j - 154 = 43*v - 36*v for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15*x. Let h(d) = -d**2 - 9*d - 874. What is h(i(a))?\nAnswer: -225*a**2 + 135*a - 874","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2898 = -17*h - 263. List the prime factors of h.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -602448 divided by 1?\nAnswer: -602448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - -8. Suppose 2*c - o - 70 = -2*c, -5*o - h = -2*c. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48981 - -6168. Suppose 0*j + 31*j = g. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x + 6 - 6. Suppose x = -31*b - b + 6560. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -441306*t**3 - 893572*t**3 - 10768*t + 1789988*t**2 + 16 + 6607596*t**3 + 2060546*t**3.\nAnswer: 4*(4*t + 1)*(677*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22023 + 230?\nAnswer: -21133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -2505?\nAnswer: 2515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - h + 3*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p + 12 = 0. Let d be 7\/((2 + -3)\/p). Let f be (-8)\/(-24) - (-1)\/d. Which is bigger: f or 0.02?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -40*z**3 + 11*z**2 - 5*z - 5. Let q(d) = -42*d**3 + 13*d**2 - 5*d - 6. What is 6*k(w) - 5*q(w)?\nAnswer: -30*w**3 + w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.6, -0.1, -9\/2, 224, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -819, -29\/27, -0.4 in ascending order.\nAnswer: -819, -29\/27, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250996 divided by 958.\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-588)\/105*(-17175)\/916?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16773346\/3 - (-6)\/9. Let d = 2791116 - r. Round d to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21901795*c**5 - 2*c + 7668311 wrt c?\nAnswer: 438035900*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -219652?\nAnswer: -219651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*z**2 - 231*z**2 + 181*z**2)*(0*z + 1 - 7*z + 9*z).\nAnswer: -262*z**3 - 131*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0)\/((-1)\/(-4)). Let l be 1*(3 + 2) + -2 + -1. Suppose t - l*t = -p. 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(g) = -3*g - 7. Let f be y(-9). Let z = f - 7. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19571157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(-3\/11)\/(j**(-18)*j*j*j*j**(-9)) assuming j is positive.\nAnswer: j**(266\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12270000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 1562326.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 14*o - 28. Solve -5*q = -4*f - 5, o*q = f + 2*f + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.7 in -0.1, 2, 3, 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 306491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -2*q + 10, 5*q - 9 = 3*b - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2911*o**2 - 4*o + 1443*o**2 + 1451*o**2 + 4*o.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (588\/1960 + (-3572)\/290).\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2\/9, 1\/2, 6, 41?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 1, -7 in increasing order.\nAnswer: -7, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**3\/6 + r. Let p(n) = 21*n**2 - 3*n + 3. Let o(f) = 42*f**2 - 5*f + 5. Let l(z) = -3*o(z) + 5*p(z). What is l(j(w))?\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.211034461 rounded to 4 decimal places?\nAnswer: 0.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v - 301. Determine h(39).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t*(t**(-1\/5)\/t)\/t*t)\/t)\/t**(-4)*((t**(3\/7)*t)\/t)\/t**(-2\/7)*((t**(-11)\/t)\/t*t\/(t\/t**(-1\/15))*t*t*t)**1 assuming t is positive.\nAnswer: t**(-478\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -121 + 65*r**5 + 121 + r**5 - 2*r**5 - r**5 + (-2*r**4 + 2*r**4 - r**4)*(r + 0 + 0).\nAnswer: 62*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4e - 6959d?\nAnswer: -6954f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.19666 - -77703?\nAnswer: 77801.19666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -16 - 3 - -1) + -22 - 12\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -669?\nAnswer: -1\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37 + 17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125\/34000*-34)\/(-18*9\/(-48)*-1).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-60)*(-2)\/(-10)*(-2040)\/272.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 334 divided by -32\nAnswer: -167\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68404, -68402, -68400, -68398?\nAnswer: -68396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 10 = -m, 19282*z - 19279*z + 5*m = 28 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -432?\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16\/21409, -8.7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/8)\/(1\/4))\/((-3)\/(-18))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/3 - 4*r**4\/3 - 9*r**3 - 38*r**2\/3 - 16*r\/3.\nAnswer: r*(r - 8)*(r + 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**4 + 1032*b**3 - 4*b**2 - 1032*b = 0. What is b?\nAnswer: -258, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 56 + 7 = 0. What is the highest common divisor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 2880.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -199, 1, -3, 0, -4, 5.\nAnswer: -199, -15, -4, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 432.8496 milliseconds?\nAnswer: 0.000120236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5047 (base 12) in base 7?\nAnswer: -34231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/10)\/(56\/(-20) + 3). What is the second derivative of 7*h + 18*h + 25*h**m + 3*h wrt h?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from qaummququkquausmuas.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-2*-2 + sqrt(76))\/(sqrt(1152)\/sqrt(8)) + 3.\nAnswer: 3 + 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306812 divided by -93.\nAnswer: 306812\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*d**3 + 192585*d**2 - 220705836*d - 141961923.\nAnswer: -3*(d - 2293)**2*(14*d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -11930.\nAnswer: -3\/11930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4509219794 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z + 15. Let c(x) = -20714*x. What is c(h(u))?\nAnswer: -186426*u - 310710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23225 (base 9) in base 5?\nAnswer: 443434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1455*o + 8731. Calculate t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r. Suppose 0 = -3*s + 4*d + 1, 1 = -2*s - d - 13. Let i be w(s). Is (-138)\/(-10) + 3\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b - 12. Let o(x) = -x - 1. Let v(s) = 4*s + 7. Let y(d) = -5*o(d) - v(d). Let k(a) = -i(a) + 6*y(a). Let g(f) = -2 + 2 + 2*f. What is k(g(w))?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**5 - 46*w**4 - 99*w**3 - 38*w - 44 wrt w?\nAnswer: -60*w**3 - 552*w**2 - 594*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 19. What are the prime factors of g(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14263 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p + 2*p + p. Let y be h(-2). What is the common denominator of -6*y\/((-54)\/(-31)) and -55\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -354 + 350. Let c(x) = x**3 + 5*x**2 - 4*x - 4. Give c(b).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in -23, 16, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v**3 - 8*v + 6. Let j(a) = -17*a**3 + 17*a - 13. Suppose 3*c + 5*q = -7, 5*c - q = 2*c + 23. Let k(n) = c*j(n) + 13*r(n). Let k(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397946289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1160 and 22691485.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2. Let g(y) be the first derivative of 5*y**3\/3 + y**2\/2 - 2*y - 692. Calculate -g(u) + 6*h(u).\nAnswer: u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3072) + 1 + sqrt(3072))*-2 - sqrt(3072))*3 + -5 + -1 + sqrt(3072) + sqrt(3072) + sqrt(3072) + 2 + (sqrt(3072) - (sqrt(3072) + 1)))**2.\nAnswer: 8448*sqrt(3) + 442489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, -130, -145, -166, -193?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19)\/(-7) + 6\/21. Let f(d) be the third derivative of 0*d + 1\/30*d**5 + 0 - 1\/3*d**z + 1\/60*d**6 + 2*d**2 - 1\/12*d**4. Factor f(y).\nAnswer: 2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58625 and 1250.\nAnswer: 586250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 391000 by 7820.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 5:30 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 3:40 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**6\/60 - 7*x**5\/60 + x**4\/4 - x**3 + 2*x**2. Let k be w(3). Solve -k*j + 9 = -0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46332*b**3*k**3 + 2*b**3 - 73*b**2 + 2159*b*k**4 + 218*b*k - 104*k wrt k?\nAnswer: -277992*b**3*k + 25908*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1178.969 weeks to days.\nAnswer: 8252.783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1659 - -1670. What is the smallest value in -2\/5, -0.3, 1, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, k: 1, b: 1, o: 2, c: 4}. What is prob of sequence jcb?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41867 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -39 + 3 + (3 - (1 - -1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*z + 146*z + 397*z + 9592 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 10*q**2 + q**3 + 91*q**2 - 8*q**2 - 2*q + 49*q**2 to the form f*q + y*q**2 + s*q**3 + x and give y.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1851.9 - -1852. Let o = 1.47 - -0.13. Is o less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 10:00 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*f - 15, -4*f + 2 = -6*f. Suppose 8 = r*a, -5*u + 2*a + 110 = -111. Calculate the highest common divisor of u and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*r + 2277 = 6975. Calculate the remainder when 1043 is divided by r.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 5*a**2\/2 - 2. Let g(k) be the second derivative of -k**3\/6 - 3*k. Let w(b) = 11*g(b) + 2*p(b). Determine w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1267*l = 1285*l + 1114 + 1028 for l.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3758810222 to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.023319 and -282.\nAnswer: -282.023319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -2*v - 4228. Let l = v - 26. Is l a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4843 divided by 2\nAnswer: 4843\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 322525 by -97.\nAnswer: -3325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**4 - 2*p**3 - 2*p**2 + 2*p + 2. Let z(s) = -s**4 - s**3 - s**2 + s - 1. Let v(i) = -b(i) + 2*z(i). What is the first derivative of v(h) wrt h?\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 2:26 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + sqrt(50))**2 + -2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o + 123 = 0. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/6 - (-11 + 7). Let r(g) be the first derivative of -20\/3*g**2 + 2\/15*g**5 - 4 + 4*g**3 + y*g - 7\/6*g**4. Suppose r(n) = 0. What is n?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/80*8*(1 + 89). Calculate the smallest common multiple of (4\/12)\/(4\/(-8))*u and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28623034*c**3*j**3 - 2*c**2*j**2 + 44*c*j**3 + 3*j**3 - j**2 + 20 wrt c.\nAnswer: -171738204*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (504\/(-392) - 14\/(-49))\/(13\/(-2))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 6*z = 14, 211*z - 215*z = 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -396*l**4*u**3 + 3*l**4*u**2 + 2699*u**3 wrt l.\nAnswer: -1584*l**3*u**3 + 12*l**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 6*i - 7*i + i**3 + 2*i**2 as y*i**2 + z*i**3 + l + d*i and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 1. Let o be l(5). Suppose 3*s + o = 88. Let p(j) = 3*j**2 + 4*j + 3. Let t be p(-2). Calculate the greatest common factor of s and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*o + 76, o + 0 = 4. Let b be (21\/(-63))\/(2\/d). Solve -v + b = 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-5)*10225\/(-73620).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -741 (base 11) to base 5.\nAnswer: -12032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 20, 2, 5 in descending order.\nAnswer: 20, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55071 and 10972?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6885?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 293.21.\nAnswer: 293.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 15, -1, -4 in descending order.\nAnswer: 15, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*d - 272 - 489 - 119 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3754 + 14933\/4. Let c = 26 + g. Let r = -1\/1446 - -91103\/7230. What is the common denominator of r and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 328*a**3*k - 12*a**2*k + a*k - 6202*k wrt a.\nAnswer: 1968*a*k - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19976017, -19976012, -19976007, -19976002, -19975997, -19975992?\n\"Answer: 5*d - 19976022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 749 is divided by 491?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133 - 1464\/11. Let d be (-2148)\/32*(-2 - 16\/(-6)). Let h = -45 - d. Which is the biggest value? (a) 2 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*m - 9 = 2*m, 0 = d - 2*m + 4. Let w = d - -6. Factor -3*h**w + 4*h**2 - 2*h**5 + 2*h + 7*h**4 - 8*h**2.\nAnswer: -2*h*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73593800 = 21*m + 49*m. What is m rounded to the nearest ten thousand?\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*v - 52*v + 120 = 0. Solve -3*f = -13*f - v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 889819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*x = -2*x + 1566, -7*m - 3*x + 3635 = 0. Calculate the remainder when m is divided by 62.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-534 - -12)\/18?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350 = 37*k - 2*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 0.7067 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(192) - (sqrt(192) - (sqrt(192) - (sqrt(192) - -3*sqrt(192))))*1)*-4)\/(sqrt(12)\/(sqrt(9)\/sqrt(3)) + sqrt(4) - sqrt(4) - 2*sqrt(196)))**2.\nAnswer: 6743\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 0*k**2 + 0*k**2 + 3*k**2. Let b(x) = -2602 - x + 2602. Determine b(l(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9009?\nAnswer: 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/9 - -1)\/2. Suppose -536*n + 975 = 1511. Is n smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b + 271 - 271)*(-3*b + 7*b + 6*b)*(0 - 7 + 2*b - 4).\nAnswer: -180*b**3 + 990*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -312, -222, 0, 420, 1104, 2118?\n\"Answer: 11*v**3 + 13*v - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201234314 - -3?\nAnswer: -201234311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41004, -82048, -123092, -164136, -205180, -246224?\nAnswer: -287268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(-1 + 1 + 3)*(-448*y - 444*y + 875*y)*(-3*y**2 + 2*y**2 + 0*y**2)*(23 + 19 - 30).\nAnswer: 1836*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**3 + 6*a**2 + 8*a - 7. Let y(w) = w**2 + w - 1. Let i(b) = u(b) - 2*y(b). Let l be i(7). Let r = 2277 + l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20613 + 3856. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240425*n**4 - 220009*n**2 wrt n?\nAnswer: -5770200*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-39))\/(8\/18)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35247466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-770)\/(-3) + 11\/33 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*u - 895*u + 154 = -437*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.059 - -0.041. What is the nearest to u in 1, 0.12, -0.2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239798 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 356163562 to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -70*g**2 + 60*g + 6. Let q(o) = 45*o + 3. What is q(r(t))?\nAnswer: -3150*t**2 + 2700*t + 273","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10, o: 4}. What is prob of picking 3 o and 1 p?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - 1) + -2268 + 2328?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {b: 1, h: 4, o: 1, y: 2, a: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 985 + -12799\/13. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1925514 + -23132549\/12. Let k = u - -2201. What is the common denominator of k and 5\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 1 - (-4 + 3 - -2)) + 10\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-36)*(-7 - -15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 215*u**2 - 38*u - 1628 + 210*u**2 + 48 - 4*u**4 - 425*u**2 wrt u?\nAnswer: -16*u**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 46388512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 6, -7, -1480, -2\/21 in increasing order.\nAnswer: -1480, -16, -7, -2\/21, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 1, 13, -82?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -1 - (-8 + 10). Sort 2, j, 1, 3 in increasing order.\nAnswer: j, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/660*(-10)\/(-2). Let m = a - 103\/132. Let l = -9 + 11. Put -3\/2, m, -1, l in decreasing order.\nAnswer: l, m, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*b**2*v**2 + 4*b**2*v - 14*b**2 + 2*v**4 + 5*v**2 wrt v.\nAnswer: 96*b**2 + 24*v**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 11 = 3*n + n, 3*n - u - 17 = 0. Suppose n*x - 425 = -x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1090537 - 1562437. Round m to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42508147*c**2 - 2*c - 195938577 wrt c?\nAnswer: -85016294*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - d + 2918 = 0, -3*y + 11*d = 6*d - 8778. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -878*r + 21216 = 890*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928598 is divided by 991.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 20 + -43 + 18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 598.6 - 599. Which is the nearest to -0.2? (a) 1\/7 (b) -2 (c) w (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - g**2 - 7*g + 2. Let u be o(11). Let p = u - 1579. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*j + 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 31*r**2 + 32*r - 12. Let l be v(-32). Let y be 6\/5*(-40)\/(-3). Let z = y + l. Solve -5*n - 21 = z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5206, 5202, 5196, 5188, 5178?\nAnswer: 5166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 38786556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222916 and 4692?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336562462.\nAnswer: 2, 43, 719, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(23\/((-1518)\/176)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -49?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Suppose x = k*x - 1. What is the remainder when (-1485)\/(-65) + ((-15)\/(-13) - x) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9531132 is divided by 571.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 87 (b) 3\/7 (c) -4 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h**4\/7 - 6249*h**3\/7 - 42024*h**2\/7 - 25236*h\/7 = 0.\nAnswer: -6, -2\/3, 0, 701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4740856365469.\nAnswer: -4740856365471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - j + 277 = 0, 4*j + 210 = 4*q - 82. Calculate the greatest common factor of q and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*c - 10. Let f(a) = a**2 - 2*a - 5. What is the smallest common multiple of f(5) and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 3*x + 1. Let k be a(2). Suppose -k*h + 0 + 6 = 0. Suppose 0 = -44*p + 13*p + 83*p + 65*p. Solve h*f + 6 = -p*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69845, 138823, 207803, 276785, 345769, 414755, 483743?\nAnswer: 552733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0508 + -0.5842. What is i rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2. Suppose 9 = -8*k + 9. Suppose 4*a - 4*m + k*m - 44 = 0, 5*a + 2*m - 34 = 0. Let q(b) = -b**2 - 1 - a + 9. Calculate q(n(f)).\nAnswer: -9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -171*c - 1546 + 178 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3296 and 181280.\nAnswer: 181280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 4, -27, 3 in increasing order.\nAnswer: -27, 3, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhzhkdzhkhdkd. Give prob of picking 1 h, 1 k, and 1 z.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5 + -7 + 6)) + 47\/(-5)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -25, -29, -37, -49, -65?\n\"Answer: -2*f**2 + 6*f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.2 and 0.237.\nAnswer: 1.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d**4 - 3*d**4 + 4*d**4)*(-883 + 387 + 426) in the form x*d**3 + r*d**2 + p*d + k + y*d**4 and give y.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 103483*p = 103488*p + 41, 0 = 2*b + 2*p - 6 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:05 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 405?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9693.632 millimeters?\nAnswer: 9693632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521431.8 centuries to months.\nAnswer: 625718160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4167\/4, -9, -78, 2\/11, 2 in ascending order.\nAnswer: -4167\/4, -78, -9, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(8\/9)*n*n**(5\/7))\/(n\/n**(-2\/5))**12 assuming n is positive.\nAnswer: n**(-4472\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 213078.8 nanoseconds?\nAnswer: 213.0788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7152347 - 3?\nAnswer: 7152344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/1161 and -8*(-14)\/(-1680)*(-62)\/6.\nAnswer: 5805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 50. Let t be 2\/30 - (-16)\/v. Which is the closest to t? (a) 1\/2 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from {q: 2, l: 1, x: 1, e: 2, m: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)\/(g**(-7)*g))\/(g**(-3\/8)*g**0)*(g**(-1\/7)*g)\/(g\/g**(2\/5)*g)*(g**(-9)*g)\/(((g*g**8*g)\/g)\/g) assuming g is positive.\nAnswer: g**(-4863\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -282924 less than or equal to -282911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d - 83. Let s be w(28). Suppose -s = -6*l - 167. Calculate the highest common divisor of l and 220.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 47. Let t be i(23). Let y be -2*(-1 + 2) + 5. Let o be 60\/8*(-2)\/(-3). Solve 4*k = -l + t, -o*l + 8 = y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1)*2 - 42159\/25944?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3917059.7 + -77.\nAnswer: -3917136.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -87.5. What is the third biggest value in 3\/2, v, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + 28.99. Let t = u - 28. Let d = -1 - t. Which is the biggest value? (a) 1\/3 (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338.195 nanometers in millimeters?\nAnswer: 0.001338195","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 4*g**2 - g**2)*(27 - 31*g - 27) - 9*g**3 - 28*g**2 + 28*g**2.\nAnswer: -102*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/39)\/(-8)*-3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**4 + j**3 + j**2 - 1. Let q(r) = 184*r**4 + r**3 + r**2 - 122. Let s(a) = q(a) - z(a). Differentiate s(y) with respect to y.\nAnswer: 732*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2718831092 to the nearest integer?\nAnswer: 52142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h - 4. Let u be b(1). Suppose u*x - 26 - 5 = -5*r, 3*r + 30 = 3*x. Suppose 2*v + 5 = 23. What is the greatest common factor of v and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 14*d - 41. Let t be o(-9). Let c(y) = -3*y + 5. Determine c(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0715 - -0.071488612. Round z to seven dps.\nAnswer: -0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 82125, 82460, 82799, 83142, 83489, 83840, 84195?\n\"Answer: 2*c**2 + 329*c + 81794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -47. Suppose -5*j = -10*j + h. Solve -4*i = -0*b - j*b - 14, -b - 3 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**(-5\/2)*(p*((p\/(p\/(p*p*(p*p\/((p\/(p*(p\/p**(-1\/8))\/p*p*p))\/p))\/p*p)))\/p)\/p)\/p**(2\/15) assuming p is positive.\nAnswer: p**(1319\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 20. Let h be y(9). Let i = 9 - h. Let a(v) = -4*v + 2. Determine a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-162)\/(-729) - (3644\/684 - 5)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97389 + 718961 = 28*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/4*(-1938)\/(-190))\/(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 10*y - 31. Let q be i(13). Suppose 0*o + 2*o = q. Suppose 3*t = o*t. Solve 0 = 2*u + 2 - t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -3, 1.8, 0.1, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 184963, 1 in descending order.\nAnswer: 184963, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.75424 - -2.4205. What is n rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2252 = -1323*x + 4898 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 2851174?\nAnswer: 7\/2851174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t. Let c be (90\/30)\/((-3)\/(-2)). Determine k(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(288)*-2 - ((sqrt(288) - (0 + sqrt(288))) + sqrt(288))*6) + (sqrt(288) - (-5 + 1*sqrt(288) + sqrt(288)) - (-5 + 1*sqrt(288))))**2.\nAnswer: -1440*sqrt(2) + 10468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 = -0. Let m be (-8 + 14)*(-1)\/g. Find i, given that m*i**2 - 4*i**3 - 6*i**2 - 3*i**3 + 4*i**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117.932 - 118. Let i = 0.468 + n. Put -2\/11, 1\/7, i in decreasing order.\nAnswer: i, 1\/7, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*v - 50*v. Solve v = -5*z + 4*z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, -1\/2, 2\/13, -5 in decreasing order.\nAnswer: 111, 2\/13, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 845, 1813, 2907, 4127?\nAnswer: 5473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 47*a + 201. Give k(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0980111*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-6) + (-1)\/2. Let h = -685\/2 - -355. Let j = 13 - h. Is b bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + 0.06. Let o = k - 15.46. Which is the third smallest value? (a) o (b) 2\/9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(6) + sqrt(6) + sqrt(216) + sqrt(6))*5*-3 - (3*sqrt(2) + 4 - 6*(-1 + sqrt(2)))**2) + 3.\nAnswer: -115 + 175*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 378873, 757834, 1136883, 1516020?\n\"Answer: 44*j**2 + 378829*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26157 - -43272. What is the thousands digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 0.04, 1\/5 in descending order.\nAnswer: 1\/5, 0.04, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*i - 31 = -111 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -648\/1645 + -2\/329. Let c be (-10 + (-24)\/(-3))\/(2\/4). What is the nearest to 1 in 5, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25929*s**2 + 1231*s - 5593680.\nAnswer: -51858*s + 1231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16471 and 3077?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 6898 + 4*m - 3*m + 6849 to the form u*m + j and give j.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 23223*s - 139396. Determine j(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2258068 and -65830.08.\nAnswer: -2323898.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.5 (c) 38 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -16. Suppose -18 = -z*n - 2*n + g, 2*n + g - 6 = 0. What is the remainder when 6 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*3.3\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2377888 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4396 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55826 or 55799?\nAnswer: 55799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/1)\/(15 - 13). Let x be (3\/(-6) + 1)*f. Suppose 0 = 3*i + i - 5*r - 66, 5*r - 10 = x. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10954, 21908, 32862, 43816, 54770, 65724?\n\"Answer: 10954*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139787418 is divided by 1827?\nAnswer: 1821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478442 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - -63.01. Let f = d - 62.999415. What is f rounded to five dps?\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 9 - 23 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*u + 23*u + 14*u)*(-1 + 1 - 2*u)*(-5 - 2*u + 5).\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3\/5 - 81066*a**2\/5 + 405237*a\/5 + 486306\/5 = 0. Calculate a.\nAnswer: -1, 6, 27017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 6*h**2 - 5*h + 2. Let d be z(-5). Let v be d*((-10)\/(-4) + -2). Let m = v - -36. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-7 - 12) + 3 + (3 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from rrfr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -8*d**5\/5 + 6*d**4\/5 + 10*d**3 - 4*d**2 - 72*d\/5 - 16\/5 = 0.\nAnswer: -2, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7)\/(t*t*(t*t\/(t*t*t**1*t))\/t)*t**0*t*t**(-4)*((t\/(t**(-2\/9)*t))\/((t**(5\/4)*t*t)\/t))\/(t\/t**(-4)*t**(-5)) assuming t is positive.\nAnswer: t**(-397\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*-66.\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 990.04m to micrometers.\nAnswer: 990040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153)*1)\/(sqrt(1296)*5).\nAnswer: sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294653.5ug to milligrams.\nAnswer: 294.6535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4 + 3*x + 0*x**2 - 9*x**2 - 12*x + 8*x**2. What is g(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(315)\/(-2*sqrt(5)))\/(sqrt(81)*6).\nAnswer: -sqrt(7)\/36 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*j**3 + 11*j**3 + 3*j**3)*(-24*j**2 - 130 - 128 + 257).\nAnswer: 240*j**5 + 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 127139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 2*g + g + (-2 + 4 + 0)*(-g - 2 + 2))*(-g**2 - 2*g**2 - 6*g**2) to c*g**2 + r + q*g**3 + f*g and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.36006 - 125.48506. Round c to 0 decimal places.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -11. Let t(b) = b**2 + 33*b + 7. Let u(i) = -i**2 - 34*i - 8. Let x(o) = k*t(o) - 2*u(o). Is x(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 611563 - -285?\nAnswer: 611848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 19) + 60 + 46.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 58.\nAnswer: -9\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161006 = -751*g + 1292930. What is the greatest common factor of 4224 and g?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 420, 840, 1260?\n\"Answer: 420*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 297*d**3 + 2*d**2 - 4*d. Let m(c) = -c**2 + 2*c - 1. What is 2*m(s) + v(s)?\nAnswer: 297*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*y = -7, -y = -4*d + 2*d + 2. Let o = 9 - 5. Suppose -o*b = -7*b + 18. Calculate the highest common factor of b and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 15*z**2 + 14*z + 44. Let w be u(13). Let m = w + 175. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = 0, -3*c = 5*i - 106 - 78. Suppose -3*m + 3*j - j = -c, -m + 34 = 3*j. Do m and 22 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 471.2 and 25739?\nAnswer: 12128216.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) -1 (c) -237919\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 0*p + 12. Let o = 12 - 8. Differentiate -3*t**3 - o + 0*t**3 + p wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2872*p**2 - 6906*p**2 + 626*p**2 + 1 to the form m*p + q*p**2 + w and give q.\nAnswer: -9152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 40*p + 136. Which is the nearest to 4? (a) p (b) 6\/11 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-4 + -2)*-2307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/45)\/(2*(-4)\/80) - 375625\/540900.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**3\/6 - 5*z**2 - 3*z. Let g = 20 - 14. Determine w(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 4:34 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 8. Let j be v(15). Suppose n - j = -3*w - 3, 5*n - w = -12. Let i be (2 + (-903)\/6)*n. What is the greatest common factor of 27 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147 + -26.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 14*y**2 + 12*y - 8. Let i be b(-15). Let p = 41 - i. Suppose p*z - z - 5*w = 93, -2*z - 4*w = -84. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 - 20*p**2 + 15*p**2 - 13*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/5*s**2 - 16\/5 - 64\/5*s.\nAnswer: 4*(s - 2)*(9*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113716549 to the nearest one million.\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o - 5*o + 2*o**2 - 8 + 0*o - 2*o. Let p be x(6). Suppose -a = a - p. Solve 0 = 3*h - a*b + 22, -2*h = -4*h + b - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 21*n + 2. Let r be k(-21). Let p(h) = 12*h**2 - h + 7*h**2 + 2 + 21*h**r. Calculate the remainder when p(1) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 492*o - 499*o. Find the third derivative of -28*y**2 - 98*y**3 - 90*y**3 - 2 + 29*y**o + 186*y**3 wrt y.\nAnswer: 696*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2063*o - 775. List the prime factors of v(2).\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21172847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/90 - ((-4)\/(-42) + (-10393)\/(-3990))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-seven thirds of a hour?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-28))\/((-36)\/(-567)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 38223478?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 16 = 4*c + 19 + 25, c = 11*s + 39 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -858, -990, -1124, -1266, -1422, -1598, -1800, -2034?\nAnswer: -2306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.787 and -0.039.\nAnswer: 0.030693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 + -6 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z - 1. Let o be j(-1). Let i(d) = -d**2 + 4*d + 2. Let w be i(o). Let r = -7 + 9. Solve -2*c - 5 = -h - 0*h, -r*c - w*h - 35 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**8\/84 - 13*u**5\/60 - 49*u**4\/24 - 47*u**2 + 2. Find the second derivative of a(k) wrt k.\nAnswer: 80*k**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 26 = 3*x, -x - z - 6 = -13. Solve -5*u + x = -18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(9*j - 5 + 5) + 3*j - 4*j + 3*j.\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**4 - 3*y + 8*y**2 + 0*y**4 - y**3 - 7*y**2 + 0*y to the form m*y**2 + o*y + p*y**3 + f*y**4 + n and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 2. Let m be g(-8). Let h be (-2)\/1*3\/m. What is the units digit of ((-8)\/3)\/(h\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 378 = t. Let d = -44 + t. Suppose 23 = 5*c - d. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 1035, 2079, 3533, 5397?\nAnswer: 7671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-40)\/(-12) + (-13)\/3)*-755539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441981363.\nAnswer: 3, 19, 23, 53, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -425 (base 7) to base 13.\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/108)\/(-7)*(-23)\/((-920)\/60)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1. Let m(u) = -3*u - 1 + 2*u + 0*u - 2*u. Let b(d) = m(d) + 4*r(d). Differentiate b(p) with respect to p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 41 (b) -0.1 (c) 1\/11 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p = -18. Find the third derivative of -9*s**2 - 6*s**p - 7*s**2 + 8*s**2 wrt s.\nAnswer: -720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 13*d**3 - 23*d**2 + 8*d - 15. Let b(l) = 7*l**3 - 12*l**2 + 4*l - 8. Let w(p) = 11*b(p) - 6*g(p). Calculate the remainder when 29 is divided by w(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -201*k**3 - 64*k**2 - 136*k - 14. Let p(t) = -115*t**3 - 32*t**2 - 68*t - 7. Let w(b) = -7*p(b) + 4*y(b). What is w(34)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 821576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/4 + 243*q\/2 + 8551\/4 = 0. What is q?\nAnswer: -17, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0.8. Let v = 0.4 - q. Let n = v - 5.2. Which is the closest to -1? (a) n (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1020257*n**2 + 17*n. Let k(j) = 10*j**2. What is p(k(y))?\nAnswer: -102025700*y**4 + 170*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -216\/135937 or -1?\nAnswer: -216\/135937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 2. Let b(d) = d**3 - 3*d**2 - d + 3. Let u be b(3). Suppose u*k - 2*k + 16 = 0. Let w(f) = f**2 - 7*f - 5. Let s be w(k). What is g(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 - -191. Let j = -9 + 11. Which is the nearest to w? (a) j (b) 3\/4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcjmcjmmjmememkcmmme. What is prob of sequence jkej?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110001000111111101 (base 2) in base 8?\nAnswer: 2610775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 372 and 471440.\nAnswer: 175375680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 25. Is 37 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (924\/(-176))\/(6\/(-24))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1984269220?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84457\/12546 + -20\/2091. Find the common denominator of f and -5\/228.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b135 (base 12) in base 16?\nAnswer: -4af9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -66. Let p = n - -25. Let d be ((-6)\/p)\/((-3)\/2). Which is the closest to d? (a) -3\/5 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007 - -2.9?\nAnswer: 2.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/25*(5 - 0). Suppose -6*q = 5*g - n*q - 52, 3*g = -4*q + 29. What is the remainder when 21 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1913, 1894, 1853, 1790?\n\"Answer: -11*q**2 + 14*q + 1910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149\/16 - -861\/16. Calculate the common denominator of ((-46)\/(-24))\/((-20)\/(-6)) and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from ivvoyiviooyhf.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13177805 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5 = 3*q - s, -2*s + 2 = q. Let u(v) = -3*v**2 + v - 1. Let t(g) = 10*g**2 - 3*g + 2. Let c(m) = 2*t(m) + 7*u(m). Give c(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37572)\/1010)\/((-54)\/(-135)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1732 + 3630. Suppose -5*n - 373 = 5*z - v, 3*z = -15. Suppose -5*f + n = -0*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40192514524 + 2.\nAnswer: -40192514522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7553)\/415 - -5)\/(((-2)\/(-1))\/(-2 + 7))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3677140 by -2.\nAnswer: -1838570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide ((-1893)\/6 - -5)\/((-1)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*d - 2*d**6 - 1199*d**4 - 37*d**2 + 64*d - 27*d wrt d?\nAnswer: -240*d**3 - 28776*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3496436 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, 14572, 7, 5 in increasing order.\nAnswer: -5, 5, 7, 8, 14572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9116088 and 294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 - 2. Let o(z) = 3*z**2 - z + 3. Let h(n) = 4*o(n) + 7*p(n). Factor h(l).\nAnswer: -2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 4*m + 14*m to the form s*m + j and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 7*y**2 + 2*y + 3*y + 9*y**2 - 8*y**2 as r + w*y**2 + j*y and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44.00203ug?\nAnswer: 0.00000004400203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 245 = -219. Let z = s - 52. Is 21 a factor of (1 - -12)\/(-5 - z\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 24*b**2. Let n(w) = 1047*w. What is h(n(c))?\nAnswer: 26309016*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -54\/7 at most 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/18)\/((16\/(-183))\/(-2)) and 109\/260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392003221?\nAnswer: 17, 131, 176023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -11 (b) -5\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2, 0*p + 2*p - 169 = -m. Calculate the remainder when 251 is divided by p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -814, -1623, -2428, -3229, -4026, -4819, -5608?\nAnswer: -6393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*1 + -4 - (-1 + sqrt(612) - sqrt(612)))**2.\nAnswer: -6*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1312 - -11?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 42*s - 80*s + 37*s. Let b(y) = 3*y**2. Calculate o(b(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 16 = 3*w, 0 = 2*w + 5*l + 9 + 11. Solve n - 3*n - 4 = w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -767153320*p*x**3 + 15781*p*x**2 - 2*p*x + 13*p - 2*x**2 + 2*x - 3 wrt x?\nAnswer: -4602919920*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from {h: 2, x: 7, l: 4}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 1 - 1)*(-472 - 141 - 84)*(5*p - p - 3*p) to o*p + n*p**2 + x and give n.\nAnswer: 1394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 0*k + 1104 = 12*s + 1947, -4*k + s + 82 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {j: 10, v: 3, i: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*a = -82, -a = -4*y + 144 + 154. Calculate the remainder when 233 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 23*x**3\/3 - 4*x + 6681. Let o(r) = -45*r**2 + 9. What is -4*o(q) - 9*w(q)?\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 4. Let r(q) = -4*q**2 - 7*q + 6 + x*q**2 + 2*q**3 - q**3. What is the units digit of r(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/28 - (0 + 1)\/4. Let i(h) = -15419*h - 3. Let j be i(g). Let q = 462377\/30 - j. Find the common denominator of -137\/12 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7491, -8616, -10491, -13116, -16491, -20616, -25491?\n\"Answer: -375*v**2 - 7116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -370 (b) -189 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c. Let s(o) = -9*o**2 - 7*o - 7. Let p(l) = 0*l**2 - l + 3 + 4*l**2 + 4*l. Let a(n) = 7*p(n) + 3*s(n). Give d(a(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 4:13 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -0.33671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 12*l + 15. What is the units digit of s(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-66)\/16)\/(33\/110). Let i = t - -14. Let -i*y**3 - 1\/2*y + 0 - 3\/4*y**2 = 0. Calculate y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 14*y + 11. Let h(j) = -7*j - 6. Let g be (2\/(-6))\/((21\/54)\/(-7)). Determine g*x(k) + 11*h(k).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*j + 13 = 0, 2*i + 3*j + 2*j = -6. Suppose -5*r + 8 = -i. Find w such that 2*w**5 - 4*w**r - 189*w**2 + 2*w**4 + 189*w**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41848\/29295 + 2\/29295. What is the fifth smallest value in 1\/2, 0.058, -0.1, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 216011 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112280 and 224?\nAnswer: 449120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-72012)\/5151 + (9 - 79)\/(-5)\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/9))\/o)\/o*o\/(o**(-2\/53)\/o) assuming o is positive.\nAnswer: o**(548\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*-5*(-1)\/15. Suppose 2*t = p - c*t - 38, -p = 2*t - 8. Suppose 7*j + 3*o + p = 4*j, -2*o = -j + 6. Round j to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14)*((-26)\/4)\/(5\/(-70))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/7)\/(16\/56). Suppose 28 - 244 = -x*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**8\/616 - 74*k**7\/1155 - k**6\/15 + 49*k**5\/165 + 47*k**4\/132 - 8*k**3\/11 + 4284*k**2. Solve q(x) = 0 for x.\nAnswer: -24, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + 5 + 0 + -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4187\/(-477) + 6\/(-27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 9*x**2 - 10*x - 11. Is n(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247557640 a multiple of 877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -11 + 19 - -24\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1830*i**4 + 203 wrt i?\nAnswer: -7320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -17107000 to the nearest one hundred thousand.\nAnswer: -17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.057923\nAnswer: -0.289615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6229886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/6*1971\/18396 - ((-376)\/(-7) - 1).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 1. Let q be o(-2). Let j be 1\/q*-3*3. Find the second derivative of -j*i + i - 2*i - 3*i**2 + i wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((45\/180)\/((-1)\/(-4))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 3:08 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -312 + 312. Suppose 0 = 4*f - k - 57, s = -2*f + k - 5*k + 42. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 12 - 39*r)*(0 - 2 + 3)*(-24 - 8 - 9) as u + b*r and give b.\nAnswer: 1599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3231686 is divided by 151?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:53 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.72 + 450.92. Let n = g - 425. What is the third smallest value in n, -5, -61, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -406 + 536. Calculate the remainder when t is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 4*a**2 + 3*a - 5. Let d = -1083 + 1073. Suppose t = 2*h + 5*t - 36, 5*h - t = 68. Let g = h + d. Determine n(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000117803439 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 1 - (-4 + -23).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.12 + 3.87. Let g = l - 0.67. What is the second smallest value in -4, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 393, 391, 389, 387?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-21 + 9 - -21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -16. Let s = -0.3 + -0.2. Let z = 9 - 13. What is the second smallest value in s, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -683, -662, -641, -620, -599, -578?\n\"Answer: 21*p - 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(432)*-2)\/(sqrt(9) - (sqrt(1089) + -3*sqrt(1089))))**2.\nAnswer: 6912\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 12. Let b(n) = -150*n**2 + 120*n - 17. Let k(o) = -100*o**2 + 80*o - 11. Let h(m) = r*k(m) + 5*b(m). Factor h(s).\nAnswer: -2*(5*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s\/(((s*(s\/((s*s**(-1\/3))\/s))\/s*s)\/s*s)\/s))\/s)\/s*s**(2\/3)*((s\/s**(-2\/3))\/s*s)\/(s\/(s*s**2*s)) assuming s is positive.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2561, -20892, -70663, -167594, -327405, -565816?\nAnswer: -898547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4 + 31173*c**3 - 11*c**2 + 30*c + 1?\nAnswer: 24*c + 187038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/17 (b) 0.2 (c) 71 (d) -3\/2 (e) -1.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-314*s + 3851*s + 5 - 5 + 1164*s)*(-5*s**2 + 2*s**2 + 4*s**2) - s**3 + 5*s**3 - 3*s**3.\nAnswer: 4702*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b + 37*b = -125. Let r = b + 29. Suppose -w = -4*z + 14, 0*z = z + 3*w - 10. What is the remainder when r is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.455 - 0.545. What is the third biggest value in 1, -5, 0.1, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113881788347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f. Let m(r) be the second derivative of -r**3\/3 - 8*r. Calculate p(m(x)).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 402269.3056 rounded to the nearest one thousand?\nAnswer: 402000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 21. Let k = 64 + -32. Calculate the greatest common divisor of k and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g. Let r = -11 + -18. Let f = r - -28. Let p(c) = -1. Let a(y) = -y + 3. Let u(m) = f*a(m) - 3*p(m). Give -b(t) + 12*u(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**3*y**2 + 2*o**3*y - o**3 - o**2*y**2 - 2*o**2*y - 8*o*y**2 + 3*o*y - 4526*o + 102*y**2 wrt y.\nAnswer: 2*o**3 - 2*o**2 - 16*o + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-5*2\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(-16 - 26 + 51)*(0*i + i + 3*i) as q*i + w and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -7. Let z = -126 - -126.1. Is d not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*n**2 - 309*n - 344*n**2 - 58*n**3 + 176*n**2 + 59*n**3.\nAnswer: n**3 - 309*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12267555 (base 8) to base 10\nAnswer: 2715501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-8) + (-25)\/200. Let v be (-20)\/3*(-633)\/2. Suppose g = l - 4*f + f - 410, -5*l = 5*f - v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(4\/11)\/y*y*y)**(20\/3))**(2\/27) assuming y is positive.\nAnswer: y**(1040\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -42, 4, -1, -2, -23 in ascending order.\nAnswer: -42, -23, -2, -1, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*n = -216*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*r**2 - 3034*h*r - 30350*h - 2*r**4 with respect to r.\nAnswer: -4*h*r - 3034*h - 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qugovuw. What is prob of picking 1 o, 1 u, and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*i = 7*z - 16, 12 = 3*z + 2*i. Suppose s - 2 = z. Let j be (-124 + 123)\/((-2)\/4 + 0). Solve -3*d - j*f = s + 10, -5*d + 5*f + 15 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*n - 3*m = -732*n - 57, 5*n - 110 = -2*m for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2313.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53140 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*f - 3\/5*f**2.\nAnswer: -3*f**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 10:43 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -0*g - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*u + 140*u = 3910. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.1, 10, 0.5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 207304892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:10 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 132420600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 21*z. Let q(v) = -12347*v + 812 - 811 + 12433*v. What is p(q(i))?\nAnswer: 1806*i + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 - 22*u + 22. Calculate i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19626061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2394, 4761, 7080, 9327, 11478, 13509, 15396, 17115?\nAnswer: 18642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**4\/4 - n**3\/2 - 4*n**2 + 14. Let j(o) = o + 1. Suppose -27 - 9 = -4*k + 4*v, 3*v = 5*k - 37. What is k*j(p) + b(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 18. What is the lowest common multiple of o(-16) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.07 - -12. Let q = i - 0.004. Let h = 0.0739882 + q. Round h to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(3 - 2 + 5)*(v**5 + 5*v**5 - 5*v**5).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 38, 39, 22, -19, -90, -197?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -258.43 - -45.53. Let j = -212.39892 - s. Let i = j - 0.5. What is i rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-174)\/(-90) + -2 - (-2 - (-18)\/30). Which is the fourth smallest value? (a) 3 (b) 2 (c) m (d) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - -81. Suppose 124 + n = 2*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 181 + 2\/3*z**3 + 29*z**2 + 142*z. Differentiate y(b) with respect to b.\nAnswer: 4*b + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800 = 110*g - 180*g + 95*g for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 816 and 4272.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1039*u + 1036*u = -30669. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 - -59. Let g = -0.8 + -0.2. Let o be (2\/(-8))\/(3\/(-2)). Which is the third biggest value? (a) g (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1970 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 158\/(-1)*1\/2. Let y = -111 - d. Let r be y\/(-14) + 6\/(-21). Which is greater: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379754107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y + 129 - 80 - 49 + 4*y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 32*g + 20. Let o be a(-14). What is the greatest common factor of o and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*v + 83. Suppose -6*g + v = -g. Suppose 0*t - g*t = -108. 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 second derivative of c**3*p*r*x - 21*c**3*p*x + c**2*p - 2*c*p*r*x + 67*c*p + c*x - x wrt c.\nAnswer: 6*c*p*r*x - 126*c*p*x + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/509 + -1511\/4072. Suppose -3*r - 7 = -2*r + 4*h, 3*h + 14 = r. Which is the closest to -1\/3? (a) -1\/4 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 1\/12*f**5 + 0 - 5\/6*f**3 - 4*f**2 + 1\/24*f**6 - 5\/24*f**4 + 0*f. Find q such that g(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*v - 85399 = -9267, -30457 = -2*a + 3*v. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (17 + -30 + 17) - (-1 - -34)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - k**3 + 3)*(-3*k + 6*k - k) + 0*k**4 - 13*k**4 - 149*k**4 to the form u*k**3 + a*k + x + i*k**2 + l*k**4 and give l.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.81 less than 8\/122669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663 is divided by 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -278461 (base 11) to base 2\nAnswer: -1101010011001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -10. Let t be 151\/(-196) - w\/12. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2455513004 to the nearest integer?\nAnswer: 49553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.39 * -27\nAnswer: 10.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**4\/7 + 295990*z**3\/7 - 10964124048*z**2\/7 + 951613744376*z\/7 + 962578164416\/7 = 0?\nAnswer: -1, 88, 73954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/6)\/((-2580)\/(-2322))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -535*w = -320*w + 8170 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o + 8. Let c(b) = -7*b + 5. Let a(i) = 8*c(i) - 5*r(i). Let t(w) = w**2. Determine t(a(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -171*z**2 + 94*z - 94. What is u(1)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + 1758*r - 8809. Determine w(5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o - 2 = 0. Suppose o = -3*k + 13. Suppose -27 = -2*f + 2*y + 93, -k*f - 4*y + 280 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 8. Let a be p(7). Suppose -a = c + s, -5*c - s - 4 = 3*s. Suppose c = -21*o + 24*o - 93. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g**4 + 41*g**2 + 9*g - 4743. Let k(a) = 3*a - 3. Let p(u) = -i(u) + 3*k(u). What is the derivative of p(l) wrt l?\nAnswer: 32*l**3 - 82*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-74 + 73)\/(-38 + (-4 - -7))\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 3*q - 2. Let w be z(2). Suppose -5*n + 4*l = -0*n - 576, 116 = n - l. Suppose -2*x = -4*x + n. What is the greatest common factor of x and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -223055 by -6.\nAnswer: 223055\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-4 - -2) - -1. Let d = -32 - s. Let l be d\/15 + 2\/5. Which is the closest to 1? (a) l (b) -0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 divided by 2?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 61170000 to the nearest one million.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (254\/(-28))\/(((-4932)\/504)\/(-137)).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 234 = 202. Let w(s) = 4*s**2 + 6*s + 6. Let p be w(-7). Let q = p + u. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -485067, -485088, -485109?\n\"Answer: -21*l - 485046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 5*o - 25. Suppose 2*n + 1144 = o*v - 3*v, 2*v - 3*n - 1149 = 0. What is the common denominator of -7\/8 and 2 - (v\/(-6))\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 221 = 5*r, 4 + 160 = 4*r - 4*f. Calculate the greatest common factor of 731 and r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 15\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 19*i**2 - 33*i - 28. What are the prime factors of j(-19)?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1520 + 65*p - 548*p - p**2 + 483*p.\nAnswer: -p**2 + 1520","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 4*r**2 + 2*r**2 + (-3 - 4*r + 4 - r)*(-2*r - 3 + 3) + 2*r - 2*r + 3*r**2.\nAnswer: 12*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, d: 9, t: 3, h: 4}. What is prob of sequence xhd?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + 9 + 1 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26051322.\nAnswer: 2, 3, 11, 394717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5688, -7.25, -50, -0.4 in decreasing order.\nAnswer: -0.4, -0.5688, -7.25, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -210022 - 1?\nAnswer: -210023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 20 = -3*v. Let t = -5 - -7. Calculate the smallest common multiple of v and 9*t*2\/4.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 42\/(-9) + 33135\/8460.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68\/43 or -16609?\nAnswer: -68\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -64*t + 41*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 + (-810)\/(-225). Solve 0 = -y*r - 78 + 94 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 9 = 3*k, -2*k - 2*h + 12 = -6*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -93*n + 288. Let a(t) = -45*t + 144. Let x(u) = -9*a(u) + 4*v(u). Calculate the remainder when x(5) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 7, c: 12}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53129?\nAnswer: 53129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 109. Let z be f(-10). Calculate the highest common divisor of z and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 40 - 56. Let l = 30 + z. Sort -5, l, -1.\nAnswer: -5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 66 = -18*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 406 - 393. What is the remainder when 42 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4 = 2*m, 2*x - 5*m + 18 = -0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71705801.\nAnswer: 499, 143699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-35)\/(-20))\/(2\/8). Let u(v) be the third derivative of v**4\/12 + v**3\/6 + v**2. Let z be u(o). Calculate the highest common factor of 105 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 6405 + 145519 - 17029 = 0. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -38*i + 235. Solve 9*q - 11*q = -i*y - 6, 2*y - 5*q + 15 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4967? (a) -1 (b) 0.0509 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 9. Let d be r(-5). Factor 4*f + 6*f**2 - 3*f - 3*f**2 - 4*f - d.\nAnswer: 3*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -29.2. Let j = 1 + u. Which is greater: 11 or j?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/281186 and 75\/664.\nAnswer: 93353752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: d9cac (base 16) to base 3\nAnswer: 1200022200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4816*n**3 - 7*n**2 + 18618. Let u(r) = -8027*r**3 - 12*r**2 + 31031. Let y(l) = 17*g(l) - 10*u(l). Find the first derivative of y(t) wrt t.\nAnswer: -4806*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27674 (base 9) to base 5\nAnswer: 1100103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 11. Let o(d) be the first derivative of -15*d**3 - 1597. What is o(g(i))?\nAnswer: -45*i**2 - 990*i - 5445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 72, 180, 214, 138, -84, -488?\n\"Answer: -6*p**3 - p**2 + 153*p - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/3)\/((-4)\/6). Let f = -2.6 + 3. What is the biggest value in n, -5, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5688 and 1368.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 25 (b) -3\/44 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 + 2134 - 43 = 58*a for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(252) + sqrt(252))**2*-1 - (-1 + sqrt(448) + sqrt(7))*1.\nAnswer: -1016 - 81*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -722 or -724?\nAnswer: -722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 546*g - 542*g. Calculate the remainder when 153 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z - 3. Let w(l) = 11*l - 6. Suppose 3*g = -1 - 2. Let j(v) = -1. Let q(c) = g*w(c) + j(c). Calculate 5*m(u) + 3*q(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 13 + -2 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59\/(6136\/4264) + -111.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*z - 7 - 19 = 0, 19 = -4*p + 3*z. Let f(t) = 5*t + 7. Let y(h) = -h - 1. Calculate p*f(r) - 6*y(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/4))**22\/((n**(6\/7)*n)\/(n\/(n**(1\/3)*n)))*(n**(-1\/2))**28\/(n\/(n*n\/(n**0*n))*n\/(n\/(n\/n**(1\/2))*n)) assuming n is positive.\nAnswer: n**(17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/139267 or 1?\nAnswer: -2\/139267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 42 = 2. Suppose -10*c + 56 = -z. Solve -2*d - 24 = -c*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l = 80. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.2 - -8.3. Let f = 29 - t. Let h = 5 - f. Put h, 3, 2 in decreasing order.\nAnswer: 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 148*k + 127*k + 686*k to the form x + s*k and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**3 + y**2 + y - 1. What is t(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {h: 3, x: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*o + 34 = 0, -51 = -3*s + 118*o - 123*o. Suppose j = -4*c + 52, 21*c - s*c - 44 = j. Calculate the greatest common factor of c and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 292 = 14*o, 6504*z - 6509*z + 60 = 2*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**3 + 6*l**2 + 12*l + 7. Solve y(c) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/27*(-364 + 130). Let z(v) be the third derivative of 0*v**3 + 0 + 0*v + 25\/12*v**4 - k*v**2 + 1\/12*v**5. Factor z(y).\nAnswer: 5*y*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 804505418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -5, -8, -2\/15, 22\/23, 6\/5, -2\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-27) - 326\/9. Let z be (3\/6)\/((-2)\/f). Suppose -c + n = -14, -145*c + 4*n + 2 = -147*c. What is the greatest common factor of c and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b. Let g(l) = -1. Let c(w) = 28*w**2 + 107. Let y(k) = -c(k) + 2*g(k). Let u(n) be the first derivative of y(n). Give 77*m(j) - 4*u(j).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.12 + -0.12. Let f = y + 10. Let l be 3 - -28*(-9)\/96. What is the third biggest value in l, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulagzvv. Give prob of sequence lu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -34*y + 9. Give q(2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -829737244 * -0.4.\nAnswer: 331894897.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -898.6 - -898.44. What is the closest to -9\/7 in g, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68386 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: Let n(z) be the third derivative of z**4\/8 + 9*z**3 + 2*z**2. Suppose 0 = -5*y - 3*x - 12, y - 17*x = -13*x + 16. What are the prime factors of n(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + (1 + 5 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -7\/4331143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n. Let m(x) = 305185*x**2. Calculate j(m(i)).\nAnswer: 305185*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enneeeeeeeen. Give prob of picking 2 e and 1 n.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*i - 18, -94*g - 6 = -92*g - i. Solve g*x - 23*x = 69 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeuqiuz. Give prob of sequence zze.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 1. Let l(u) = 60*u**3 - 9. Give -l(x) - 9*s(x).\nAnswer: -51*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f + 4*b = 128, 5*b + 256 = -4*f. Does 7 divide f*2\/(-6) + 2\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/280*(-6)\/3*-2.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**4 - 4*i**4 + 4*i**4)*(-2 + 4 - 2*i - 3).\nAnswer: 8*i**5 + 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 6*h - 1. Let d be u(-5). Let r be (d\/4)\/((-1)\/2). Let z be 4\/8 - (-20)\/(-30)*(-36)\/16. Solve -r*w - x - 9 = 0, -2*w + z = -x - x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -1283*n**4\/12 + n**3 - 111*n**2\/2 + 33*n + 1. What is the second derivative of a(h) wrt h?\nAnswer: -2566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 12:18 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 5*f, 2*j - 6 = 2*f. Let k = j - -2. Suppose g + 2*m = -9, -27 = 4*g + k*m - 0. What is the third smallest value in g, 2\/25, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 7 = -12. Let m = 17708\/3 - 90703\/15. Let c = m - -144. What is the third biggest value in -2\/15, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 9*c - 16. Determine o(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/(-14)*1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 2 (c) -245 (d) 0.4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 22*i - 192 = 0. Let j(n) = -i + 2*n - 29*n - 16. List the prime factors of j(-7).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 17*d**3 - 108*d**2 + 162*d - 74. Let r(j) = -6*j**3 + 36*j**2 - 54*j + 25. Suppose 23 + 82 = -5*i. Let o(f) = i*r(f) - 6*n(f). Factor o(p).\nAnswer: 3*(2*p - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 96032*s - 480260.\nAnswer: 4*(s - 5)*(s + 24013)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**3\/4 - 3711*k**2 - 16596633*k\/4 + 4152870 = 0.\nAnswer: -3240, -1709, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 155, 153, 151, 149, 147?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)\/l**4*((l**1\/l)\/l)**(-49))\/(l*(l*l*l\/l**(-4)*l)\/l*l*l*l\/(l\/l**(4\/9))*l)**6 assuming l is positive.\nAnswer: l**(-287\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2396*l - 32866 + 77767 = 834*l - 81069 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373*x**3 - 182*x**3 - 185*x**3 + 0*x**2 + 0*x**2.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 7. Let b be 87*4\/(-36) - 2\/(-3). What is p(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12465135 is divided by 707.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c**2 - 2137*c - 22800. Determine p(-256).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - 2*d**3 - 2*d**3 + d**3 - 2*d**3 + 2*d**3 + (-2*d + d + 3*d)*(2*d**2 + 3*d**2 - 3*d**2) - 9*d**3 + 0*d**3 - d**3 + 84*d + 3*d**3 - 84*d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06352 rounded to 3 dps?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v**2 + 2*v + 2. Let r be j(2). Let x = -27 + r. Solve 3*w - k + x = 0, -5*k - 14 - 1 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2840, 5636, 8432, 11228, 14024?\n\"Answer: 2796*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 + 122\/(-6). Let x be z\/((-9)\/(-3)) + -1. Let n = -5 - x. Calculate the remainder when 5 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14812.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 1. Let d(b) = -10*b - 6. Let h(p) = 9*p + 1. Let q be h(-1). Let u = -11 - q. What is u*d(f) - 16*k(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 4:00 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxnxxrnxnxnr. Give prob of sequence xxxr.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:20 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 9*z - 28 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.042 - -46.958. Let t = 42 - x. Sort 0, -4, t, -2 in descending order.\nAnswer: 0, -2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2240 and 9463330?\nAnswer: 2119785920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.489 to 1 decimal place.\nAnswer: 30.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 19 + -11 - (3 + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 10*y + 5*y + 3 = 0, -6*n + 14 = -3*n + 5*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**4 - 8*m**3 + 4*m**2 + 2*m + 6. Let l(z) = z**3 - z**2 - 1. Let s be ((-18)\/(-15))\/((-2)\/10). Let j(t) = s*l(t) - n(t). Factor j(h).\nAnswer: -2*h*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a3 - -8?\nAnswer: 1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246168, 246173, 246178?\nAnswer: 246183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 4.239.\nAnswer: 5.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-36)*(0 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.2. Let n = 16 + -101. Let w = n - -597\/7. Is h at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**11\/((i**(-1\/12)\/i)\/i)*(i**(-2))**(-13) assuming i is positive.\nAnswer: i**(469\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-150)\/(-12))\/(-5)*-26. Suppose 2273 = 7*r - p. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 102.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14986*w**2 - 5368*w**2 - 118384*w**2.\nAnswer: -138738*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -23*z + 1. Let q = 43 - -8. Let i = -52 + q. What is v(i)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 6 + 0 = g, -51 = -x - 54 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 12 = 5*u - 4*v, 3*v = 3*u + 9. Let h = 4 + -7. Put 1, h, u in decreasing order.\nAnswer: 1, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194 greater than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476103.\nAnswer: 53, 27851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1225 + 2320. Suppose 0 = 4*v + v - z. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, c: 8, q: 5}. Give prob of sequence cqq.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -65, 0.1, 3, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17997523, -35995045, -53992567, -71990089?\nAnswer: -89987611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*477\/(-1728)*-8?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*f - 121*f + 40*f + 44*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1933196375?\nAnswer: 5, 11, 151, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-3)\/(-168)*5187\/(-78)*8\/(-1).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -236*v + 4952. Let w be j(21). Let z = 8 + -7.8. What is the closest to -25 in w, 3, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sus when three letters picked without replacement from lullslulluluuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 3:24 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -225197 - -330636. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -1 - -45) + -1\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*j - 12, -5*k - 2*j = -3*j - 21. Suppose o + m = -0*m + 8, 64 = k*o - m. What is the lowest common multiple of 18 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211589.\nAnswer: 7, 167, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -501 = -13*s + 6. Let y be 1\/3 - 364\/(-6). Let l = y - s. What is the lowest common multiple of l and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*u + 43*u + 16032. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*-5\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411478649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73546797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69298, 69310, 69322, 69334?\nAnswer: 69346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:26 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1943 equal to -21370\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -789, -2064 in descending order.\nAnswer: 23, -789, -2064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2641 = 5*p, d - 2*d - 2111 = -4*p. Calculate the remainder when p is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 9. Suppose -4*j + 3*b - b + 230 = 0, 0 = 2*b - 2. Suppose 0 = v*a - 14 - j. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2. Let i(o) = 4*o + 1478219. What is i(n(d))?\nAnswer: -4*d**2 + 1478219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 a when three letters picked without replacement from {f: 2, a: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 540418853 to the nearest integer?\nAnswer: 23247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742094392?\nAnswer: 2, 13, 883, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2831955 and -2112.\nAnswer: 2829843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810 = -4*q - 5*q. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34930 rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 14*w**2 - 13*w - 3. What is y(5)?\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*h = 26, 3*h - 7*h + 13 = -t. Suppose -4*a = -t*a. Suppose a = -0*k + k - 249. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-17))\/(14098\/2396660)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 3*v - 2. Let y be u(1). Let r(m) = m - 4. Let l be r(4). Is l + (13 - (y + -1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12433 + -12434. Sort 3\/2, a, -0.35, 2, 3 in descending order.\nAnswer: 3, 2, 3\/2, -0.35, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -136?\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 522023\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-55)\/4)*(-680)\/(1224\/(-36)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -3554045233?\nAnswer: -3554045233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/10)\/12)\/(-4*1\/108).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3302443 (base 5) to base 3\nAnswer: 2212200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(30\/5)*(-2)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 186 = r. What is the highest common divisor of r and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/5, 0, -1236\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 31 - 14 = -3*l, 0 = -2*l - 6. Suppose -3*f - 3*g + 186 = 0, 6*f + 5*g = 3*f + 182. Calculate the smallest common multiple of f and y.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92955 is divided by 2213.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-490)\/(-15) + (-4)\/6. Let w be 2\/7*56\/v. What is the third biggest value in 5\/2, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470270 plus 10?\nAnswer: 1470280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3227 - 4690 = 77*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**5*p)\/(p**(6\/13)*p))**(4\/19) assuming p is positive.\nAnswer: p**(288\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = 0, 3*g = 2*g - 5*t - 6. Let b(o) = -o**3 - o**2 + o. Let x be b(g). Let w(a) = 138*a**2 + 1. Is w(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00034613 rounded to five dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 277\/1220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + (-15 - (-3366)\/51)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*t + 65, -5*n + 83 = 2*t - 4*t. Let m = -52\/3 + n. Which is the second smallest value? (a) -2\/9 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70639 is divided by 1009.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1897114260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6 + 388263\/33 + 36\/(-66)?\nAnswer: 79, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100001213 - 0?\nAnswer: 100001213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -178 (b) 0.04 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*m - 1213360 = -8*m, 242660 = c - 2*m. Let f = c + 3153332. Round f to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 104*t**2 + 28*t - 12.\nAnswer: 4*(2*t + 1)*(13*t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h + 6. Let w(b) = 15*b + 7. Let l(v) = -41*v - 19. Let q(y) = 4*l(y) + 11*w(y). Calculate -a(s) + 5*q(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86 + -82. Let l(f) = f**3 - f**2 - f - 1. Let x(c) = 4*c**3 + 12*c**2 - 37*c - 9. Let g(d) = r*x(d) + 12*l(d). Find u, given that g(u) = 0.\nAnswer: -3, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 2*i**2 + 3*i + 1. Let b(m) be the third derivative of m**6\/60 - m**5\/60 + 4*m**2. Let t be b(-1). Give w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(3\/4))\/(o*o**(-2\/15))*(o\/((o*o**(-5))\/o*o))\/o**(-1\/2)*(o\/o**7)\/(o**(3\/2)\/o)*o**8*o**(-2) assuming o is positive.\nAnswer: o**(263\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b - 3*b - 5*b + 17*b to h + c*b and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*v**2 + 836 - 836.\nAnswer: -122*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92495815 divided by 18499163.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 812991131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-4)\/(-24)*-18. Let s = 8 + t. Let j be (4\/s - 0) + 504\/294. Solve j*l - 2*o = 2, -2*o + 1 = 4*l + 21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3137*l**4 - 9*l + 137 wrt l.\nAnswer: -37644*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + 4 + (sqrt(1377) - (sqrt(1377) - 2*sqrt(1377)) - sqrt(1377) - sqrt(1377))**2 + 0 + ((-5 + sqrt(1377) + sqrt(1377)*-1 + 4)*-4)**2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56342, 90201, 124060, 157919?\nAnswer: 191778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1785 + 1789.009. Let o = -0.009 + v. Which is the third smallest value? (a) -0.09 (b) o (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1345 is divided by 1214?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3. Let u = 207 + -207.5. Which is the second biggest value? (a) u (b) z (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 39 (b) 0.1 (c) 1 (d) 0.5 (e) 89 (f) 2313\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61\/6 or -27\/7?\nAnswer: 61\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6220105 millilitres to litres.\nAnswer: 0.0006220105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(6\/(-74)) - -1. Let t = -14 - b. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n + 23 + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2897077 (b) 3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 4) + 101 + -115.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 - 3*d**3 + 4*d**3 + (2*d - d**2 - 2*d)*(-4*d + 4*d - 4*d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g - 0, -3*a + 610 = -g. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4143 or -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -18870*c**2. Let g(y) = 3850*y**2. What is g(p(q))?\nAnswer: 1370896065000*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 16*k**3 - 13*k**2 - 15*k. Let a(u) = 8*u**3 - 6*u**2 - 7*u. Calculate -13*a(j) + 6*h(j).\nAnswer: -8*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22453.\nAnswer: 22453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 4*v**2 + 4*v - 1. Suppose -x = 3*b - 6*b - 30, -b - 15 = -2*x. Let k be 0 + b\/(-6)*2. Let w = -2 - k. Calculate s(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -1)\/(3\/(-12)). Suppose u = -0 + 8. What is the highest common factor of u and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 781*y - 29291. What is q(36)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47263 divided by -12.\nAnswer: -47263\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 1120 = -16*u. Suppose p - 552 = -4*h - 2*p, -4*h - 5*p = -u. Calculate the remainder when h is divided by 37.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -85c2 + -5?\nAnswer: -85c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 926729501 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3566?\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5*o - 57 + 18, 5*o + 31 = -2*j. Solve 9 + 7 = -j*f + 2*k, -k = -3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-60)\/(-15)) - (-10)\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 - -109. Find the third derivative of 21*c**3 + 4*c**p + 3 + 23*c**3 + 3*c**2 - 5*c**2 wrt c.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 27 + 97 = 0. What is the closest to i in -0.01, 2, 1\/8, 0.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**4\/4 + 11*f**3\/3 - 13*f**2\/2 + 11*f - 12. Let i be h(-12). Is i\/(-69)*(-291 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-228 - 20*j + 34*j - 13*j)*(-j + 30 - 30).\nAnswer: -j**2 + 228*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -2\/5, 0.14, 1 in descending order.\nAnswer: 1, 0.14, 0.03, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 + 7 - (-1 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -25, -44, -85, -154, -257, -400?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1093159*g**3*n**3 - 2*g**3*n - g*n**2 - 23*g*n + 1510 wrt n.\nAnswer: -6558954*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 8*s**2 - 8*s - 9. Let f be b(7). Let j = -4 - f. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*w = -274*w + 668*w - 24954 - 777 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 9038*s**2 - 10206160*s + 10215200.\nAnswer: -2*(s - 1)*(s + 2260)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/600 and -91\/120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**5\/11 - 6306*v**4\/11 + 108740*v**3\/11 + 607870*v**2\/11 + 218436*v\/11 - 24944 = 0?\nAnswer: -4, -1, 1\/2, 22, 1559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.37276519 rounded to 4 decimal places?\nAnswer: 3.3728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miviiiiaaiivavim. What is prob of picking 2 a and 1 m?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 20*f**2 + 77*f + 2. Give g(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58629 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-4)\/32*(-896)\/(-160)*-10\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -4808057.\nAnswer: -1442417.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/5*3)\/(4\/260).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 720 divided by 45\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -140082 + 5.\nAnswer: -140077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101101101001010111011 (base 2) to base 14.\nAnswer: 697511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seqs. Give prob of picking 1 s and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - l. Let g(v) = v + 6. Let r be g(-3). Calculate the lowest common multiple of c(r) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*d - 448 + 8956 = -290*d - 1620 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5913459 or -5913444?\nAnswer: -5913459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9392027 divided by -23\nAnswer: 408349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j**2 - 6*j. Let r(i) = -4*i - 4*i + i + i + 7*i. Determine r(x(v)).\nAnswer: 11*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/78 and -6\/247.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9289 or -8763?\nAnswer: -8763","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1.11 (b) 0.4 (c) 1.307\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*o**3)*(3 + 2*o**2 - 3 + (-3*o**2 + 6*o**2 + 0*o**2)*(-1 + 1 + 2)).\nAnswer: 16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (28\/35)\/(54\/300*-5)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5114256\/(-1344))\/((-4)\/20*1\/4).\nAnswer: 5, 31, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 82. Suppose -4*t + 3*w - n = -5*t, 2*t - 4*w - 106 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 5 - 1)*(25*w**4 + 23*w**4 + 30*w**4) in the form o*w**3 + g*w + z + s*w**4 + l*w**2 and give s.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-5*o**2 + 53*o**2 - 7*o**2).\nAnswer: 82*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*k - 74, 41*x - 42*x + 26 = 2*k. Which is smaller: 12 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*f + 14 = 33, 2*k - 5 = -3*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4413 (base 8) to base 12.\nAnswer: -140b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -343211, -3\/2, -1, 2\/3, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-1)\/(-15)*-155*(-11)\/(-22)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2305784 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2932*-1.3.\nAnswer: -1.68116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 - 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*1*sqrt(192))**2.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*t - 110, 3*p = -2*t + p - 58. Let y = t + 41. Calculate the remainder when 36 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (2 + 1) - (-17 + 9)) + (-772 - -760)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2659 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -548345061*v**4 + 2*v + 379492746?\nAnswer: -2193380244*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1841221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1300)\/(-6084)*162\/2025\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from yyzzzz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/387 and -37\/387.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (1 + 0)\/(-1). Suppose i*k = -5*o - 13, 12 = -2*k - 0*o - 4*o. Solve -2*u = -u - k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 7*n - 2*n + (6 - 2 - 3)*(0 - 1 + 2)*(20*n - 15*n + 9*n) to j + h*n and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 + o + 1. Let r be t(3). Which is the nearest to -1? (a) 5 (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5001 divided by -2\nAnswer: -5001\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 0. Let g = 1 + s. Let f = -1122403 + 1122403. Solve f = -5*p + 20, -p = -g*r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*t - 4. Let y(p) = -p - 3. Let f be y(-4). Suppose 123*z + 4 = 121*z. Put f, t, z in descending order.\nAnswer: f, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.7735224 rounded to 3 dps?\nAnswer: 25.774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26946900 and 1623450?\nAnswer: 11850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130 by 26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*a - 73 + 353 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 6 = -p, 2*p + 3*g + 486 - 473 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12810 and 91665.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -234?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 5:30 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.358 + 7.358. Do -5\/9 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 23. Suppose -38 = -s - n. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482234?\nAnswer: 2, 3, 13, 31, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 = 4*i + 37. Let o = i + -34. Calculate the remainder when o is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e8 - 41a?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8d + 47?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.2 - 1.8. Let r = 8 + d. Let b = -18 + 17.7. What is the nearest to -2 in b, r, 1\/6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 1881?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2774144 - -216?\nAnswer: -2773726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 2*i + 7. Let c = -20 - -25. Is k(c) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1173 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 11441.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, o: 4, q: 1, p: 1, e: 3}. Give prob of picking 1 c, 2 o, and 1 e.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -588061 divided by -5?\nAnswer: 588061\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 2:53 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**3 - 7*g**2\/2 - 594*g. Determine z(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19313 + 90197 = -5141*i + 14443 - 51520 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -16*j**3 + 4*j**2 + 5*j - 4. Let v(n) = -17*n**3 + 5*n**2 + 6*n - 5. Determine 5*g(k) - 4*v(k).\nAnswer: -12*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.37886 years to centuries.\nAnswer: 0.6037886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3568\/5 - 714. Let a = -3\/140 - 527\/1540. What is the nearest to -2 in d, 0.3, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117108 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/5 + 17*s**2\/5 - 84*s\/5 + 108\/5.\nAnswer: -(s - 9)*(s - 6)*(s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 6. Let x be f(-5). List the prime factors of 4\/(-6) - 87\/x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1170)\/(-24) - (-1)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-9)\/6)*-9. Let h be (n - (3 + -1)) + -2. Solve -4*p - 9 = 3*o + 2*o, -3*o - h*p - 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0394 + -0.3036. Round y to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 5. Suppose 4*j + s = 5*j. Suppose h - j = -2. Calculate the remainder when h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(76)*2)\/(sqrt(32)\/(-6*sqrt(16)\/sqrt(2))))**2*-4.\nAnswer: -700416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 0.3 (c) -2345\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-28))\/((-11)\/(-77)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -6*d + 3*d. Is (-106)\/1*d\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**3*b - 10*a**3 + 19*a**2*b + 6*a**2 + 195*a*b - 3*a - 460*b + 992214 wrt b?\nAnswer: 2*a**3 + 19*a**2 + 195*a - 460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0*g**5 + 43\/24*g**4 + 0*g**3 + g**2 + 9 + 0*g - 22\/105*g**7 + 0*g**6. What is the second derivative of l(n) wrt n?\nAnswer: -528*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5668089.\nAnswer: 3, 7, 17, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b**3 - 3*b**2 + 14*b - 1. Let v(a) = 2*a**3 + a**2 - 5*a. Let l(z) = 6*j(z) + 17*v(z). What is the second derivative of l(r) wrt r?\nAnswer: -12*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47069 = -0.036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67075 by 92.\nAnswer: -67075\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -212 - -214. Let h(z) be the second derivative of 9\/140*z**5 + 1\/70*z**6 + 1\/14*z**3 + 0*z**q + 0 + 3\/28*z**4 + 3*z. Factor h(v).\nAnswer: 3*v*(v + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**3*o**3*w + 2*b**3*o**2*w + 18*b**3*w - b**2*o**3 + 3*b*o**3*w - 7*b*o**3 - 2*o**3*w wrt b?\nAnswer: -18*o**3*w + 12*o**2*w + 108*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 29*h - 206. Let f be d(-35). Let g(t) = 2*t**2 - 12*t + 25. Calculate g(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 21 and 480.7.\nAnswer: 501.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(-1 - 4*t**3 + 76*t - 77*t - 3).\nAnswer: 8*t**3 + 2*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - h + (5 + 0 - 3)*(-5*h + 7*h + 3*h))*(-h + 3*h - 4*h) + h**2 + 0*h**2 + 0*h**2 to the form a + c*h**2 + g*h and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 138\/(-4)*10\/(-15). Let l be (-9)\/(-90) - (-8995)\/50. Calculate the highest common divisor of r and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.91915mm to kilometers.\nAnswer: 0.00003391915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14954 + 15009. Which is smaller: r or 1466\/27?\nAnswer: 1466\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*(c*c**(2\/11))\/c*c*c)\/c)**49 assuming c is positive.\nAnswer: c**(1715\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -2\/9, 0.49, 8 in ascending order.\nAnswer: -1, -2\/9, 0.49, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2\/6 - 49\/6 = 0.\nAnswer: -7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -3*p - 3, 6*h + 3*p + 27 = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-326)\/126 - (-2704)\/2366\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -94458 divided by 519\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31\/16 - -53\/16. Which is bigger: 0.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 613242 and 4701522?\nAnswer: 14104566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 441 = -70*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 8*w**2 - w + 9. Let n be p(8). Let a = 1.8 + 1.4. Let j = a - 1.9. What is the second smallest value in j, n, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvszhpl. What is prob of picking 1 v, 2 h, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -272*l - 60. Let f be a(5). Round f to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 13 = 77. Suppose -9*f + 40 = -5*f. Calculate the remainder when r is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-1))**48)**(-7\/8) assuming f is positive.\nAnswer: f**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u - 41*u**2 + 5 + 43*u**2 - 15. Suppose 0 = -6*i + 11*i - 25. Is 12 a factor of k(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + v. Let w = -22 - -24. Let x(k) = -4*k**w + 7 - 2 + 2*k - 3. Calculate x(n) - 3*z(n).\nAnswer: -n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4872*o = -1354*o + 835*o - 117531 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 - 3*a**2 - 10*a + 29. Determine o(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/8*14 - -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -27, 5, -7.942, 0.064?\nAnswer: -7.942","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 18*k - 17. Let a be -2 + 5\/2 + (-78)\/4. Let q be g(a). Suppose -c + 5*u + q = -2, 5*c - 124 = -u. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/10)\/(4\/(-6)). Let n = 1.3 + -0.3. Let r = 0.2047 - -3.7953. Which is the closest to n? (a) f (b) r (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 370251.379367 - 370252. Let t = k - -0.621. What is t rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -11*s**2 - 8*s. Let u(w) = -w**2 - 13*w. Let f(p) = -p**2 - 6*p. Let h(x) = -7*f(x) + 3*u(x). What is 8*h(l) + 3*q(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -945 + 1302. What is the remainder when c is divided by 38?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -48 (c) 214 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 7*c + 4. Let k be x(-7). Let v = 3 - 3. Suppose 0*w + 4 = -2*w. Sort v, w, k.\nAnswer: w, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3\/3 + 3818*q**2\/3 + 7639*q\/3 + 3820\/3 = 0.\nAnswer: -1, 3820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 867121?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*v - 62, -3*v = -8 + 5. Solve -3*f = j - b, -3*j + 5*f = 14 + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*g*j**3 - 2*f**3*g - f**3*j**2 + 27*f**2*g*j - f*j + 11*j**3 + j wrt j.\nAnswer: 6*f**3*g*j - 2*f**3 + 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-8)*z)\/z)\/z*z**(-2\/13)*z*(z*(z**3\/z*z)\/z)\/(z\/(z**(1\/9)\/z)))**(5\/9) assuming z is positive.\nAnswer: z**(-3535\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 312121.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)\/(sqrt(11) + -1*sqrt(11)*-2))\/(2*1*sqrt(245)) + 2)**2.\nAnswer: 2*sqrt(11)\/21 + 7067\/1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 divided by -6?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/4474 and 53\/8.\nAnswer: 17896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 1 v when three letters picked without replacement from hvmvumhvmmmhummvmhmm?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirty-four fifths of a millisecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1116504 or -1116491?\nAnswer: -1116491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/(-9) + 2\/(-6))\/(365\/(-4820555))?\nAnswer: 47, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (432\/(-21) + 10).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3288494?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1345 + 1365 = 10*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 - (-57)\/21. Suppose -5*m + 21 = -2*x, -2*x - 5*m + 11 = -18. Let u = w - x. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4867699935?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 68315*r + 2 + 68313*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.0710262?\nAnswer: -0.00710262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52845 is divided by 107?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*21\/9*8. Suppose -w = 4*d - 792. Suppose -4*n + 6*n = d. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9536 and 3427.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*m = -24, -6*r = -10*r - 2*m + 20. Solve c + 40 = 3*v + r*c, 3*v - 2*c - 5 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2)\/(37\/(-3) - -11).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + a + (-3 + 1 + 4)*(-5*a + 3*a + 0*a) + 3*a + 0*a - 4*a + (-4 + 0 + 2)*(0 + 2*a + 0) - a + 2*a + 0*a in the form s*a + o and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 136843643.\nAnswer: -6\/136843643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*((-3)\/14)\/3. Let k = 214 - 337. Let o = 124 + k. What is the closest to o in -3, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + -2 - 1 - 2535\/(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = b - 62. Let x = -5993 - -6022. What is the highest common factor of x and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*((-1)\/1*1)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 49228350*i + 201952536976875.\nAnswer: 3*(i - 8204725)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 13*o**2 - 14*o. Let b be x(14). Solve -3*u + 2*w + 8 = -b*w, 5*u - 6 = -4*w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85403 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*c**2 - 1068700*c + 445300 = 0 for c.\nAnswer: -22265, 5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43450627 is divided by 1069?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593306140.\nAnswer: 2, 5, 7, 157, 26993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxxq when four letters picked without replacement from {q: 2, x: 3, c: 1, v: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.00206? (a) 5 (b) 2\/5 (c) 3 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 297\/4 - 75. What is the biggest value in 2, i, 0.4, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 11:00 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 + -6 - (-1 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320124 (base 6) in base 10?\nAnswer: 25972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 0.9 (b) 85 (c) -4 (d) 12\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1934196 is divided by 386836.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3 - 10)*(-2*b**3 + 0*b**3 - 3*b**3)*(-1 + 4 - 6 + (2 - 5 + 4)*(-4 + 5 + 0)).\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**5 - 2*b**4 + b**2 - b. Let a(c) = 2*c**5 + 52*c**4 - 37*c**3 + 9*c**2 + 7*c. Suppose 10 = 11*v - 6*v. Let o(z) = v*a(z) + 22*u(z). Factor o(g).\nAnswer: -2*g*(g - 1)**2*(3*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/(-6840) + 460\/(-114)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/4 (b) 5 (c) 8048\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 + 38*u**4 + 372*u**3 + 898*u**2 + 827*u + 264.\nAnswer: (u + 1)**3*(u + 11)*(u + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 177277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5 + 106*z**4 + 108*z**3 - 106*z**2 - 107*z = 0. Calculate z.\nAnswer: -1, 0, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/(-14))\/((-455)\/175).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57501811*c*p + 4*c - 179870869*p wrt c?\nAnswer: -57501811*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t + t - 6 - t)*(58*t + 63*t + 98*t - 42*t) in the form q + a*t**2 + s*t and give s.\nAnswer: -1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1053588325?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -232521526 (base 7) to base 8\nAnswer: -66512356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/310*(2821\/(-4004) + (-24)\/44)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z**4\/17 + 74*z**3\/17 - 1072*z**2\/17 - 6360*z\/17 - 1728\/17 = 0. Calculate z.\nAnswer: -8, -6, -2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3897.\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2506636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -35. What is the derivative of 18 - 11 + m*b - 1 + 8 wrt b?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2591 is divided by 633.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 3*f**2 + f - 4. Let j be z(-4). Let t(q) = q**2 - 3*q - 26. Let a be t(j). Calculate the greatest common divisor of a and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 3) + 15*9732\/36.\nAnswer: 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t + 9. Let k be s(-3). Solve k = -3*r - 6 - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2414 * -2.40889.\nAnswer: 5815.06046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-2))\/((-1)\/5). Let z(j) = -4*j**2 - j**2 + j**2 - 3 - j**3. Does 11 divide z(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 4*g**2 + 6*g + 5. What is the lowest common multiple of p(5) and 900\/50 + (3 - 3\/1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 870 and 13398?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 + 2 + 8*a**3 - 5 - 3 wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56217093259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98636?\nAnswer: 2, 24659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/20 and -133\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 981 - 981 - 11*k**3 + 0*k**2.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9075 is divided by 76.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -54*w**4 - 6*w**3 + 38*w + 6. Let x(g) = -163*g**4 - 17*g**3 + 115*g + 17. Let y(i) = -17*v(i) + 6*x(i). Find the second derivative of y(f) wrt f.\nAnswer: -720*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -14454*b**2 - 292*b - 292. Let y(o) = -149*o**2 - 3*o - 3. Calculate -3*p(u) + 292*y(u).\nAnswer: -146*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.8 (b) 3\/4 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, o: 1, e: 1, r: 4}. Give prob of picking 1 p and 1 o.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 699383889 to the power of 1\/3, to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2404*o + 40884. What is j(-17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -19*n**4\/24 + n**2. Let g(l) = 2*l**2 - 602968*l - 602965*l + 1205933*l. Determine d(g(c)).\nAnswer: -38*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19272 is divided by 6420.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 7. Let p be w(5). Let o(m) = m + 3. Let z be o(0). Calculate the highest common divisor of p and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*k, 2*k + 13*n = 12*n + 2. Suppose k*h + 229 - 1359 = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Suppose j = 4*j - m*s - 1, -3 = j - 2*s. Suppose 0 = -y - 4*i + j + 7, -i = 3*y - 53. What is the greatest common factor of 45 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 5:10 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001389223 rounded to six decimal places?\nAnswer: -0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millennium in decades?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 13. Let f be m(6). Let v be f\/8 + 10\/((-30)\/(-9)). Is -5 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2708 + 339 + 21442 - 2*k**2 + 17536)*(1 + 1 - 3) to l*k**2 + j + b*k and give j.\nAnswer: -36609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 30*((-100)\/24)\/25\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/(3*(-3)\/(-54)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 11) in base 14?\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(10\/(-12)) + (-12 - (-12 - 6)). Solve -l = -22*v + 25*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/2 + 23*i\/2 + 12 = 0. What is i?\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84.2 - -85.2. What is the closest to 2\/5 in -5, 5, s, 13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0316749*-1\nAnswer: 0.0316749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 989 - 989 + 19*c - 47*c. Let p(q) = -28*q. Calculate a(p(h)).\nAnswer: 784*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 4:58 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 + -1) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 2055424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 492896205?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k = -27*k + 14455. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j**3 - 16*j**2 - 6*j**2 + 3*j**3 + j**3 - 5*j**5 wrt j.\nAnswer: -300*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22730 - 3560?\nAnswer: 17150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1016 - -1510. What are the prime factors of p?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(135\/12))\/((-21)\/(-1134)*60).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1. Let h = 170 - 166. Let z(r) = h*r - 2*r - 19 - 4*r + 31. Determine 6*n(x) - z(x).\nAnswer: 2*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*w - 4*w. Suppose 0*b + 22 = 11*b. Let y(h) = -2 + 8*h + 0*h**2 + 8 + 0*h**b + h**2. Give y(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a micrometer in nanometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 208.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -278 - -349. Let s = -42 + n. What is the remainder when 112 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1421 - 1653?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/4 - 3\/3. Suppose 0 = 3*n - n - h. Suppose 0 = n*l - 6*l + 1227. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -2, 3 in increasing order.\nAnswer: -30, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -1. Let d be (-6)\/33 + 16758\/(-154). Let s = d - -143. Calculate the remainder when s is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145.4411286662 + 0.4\nAnswer: 145.8411286662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 29. Let c(q) = q**2 + 11*q + 11. Let h be c(w). What is the highest common factor of 391 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000348817 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**2 - 8*y - 1. Let h be n(8). Let s(g) = -15*g - 1. Calculate the remainder when (-2)\/(-11) - h\/11 is divided by s(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) - 1*1238\/70. Let b = 169\/10 + s. What is the second biggest value in 0, -2, b, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 15*m**3 + 100*m**2 - 102*m + 17. Let u(n) = -5*n**3 - 33*n**2 + 36*n - 6. Calculate 6*l(w) + 17*u(w).\nAnswer: 5*w**3 + 39*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 258855 and -20036205?\nAnswer: 20295060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.384 - 0.651. Let s = k - -0.037. Let u = -0.03 - s. Which is the closest to u? (a) 4 (b) 1\/4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -34, -22, -8, 8, 26, 46?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**3 + 357*s**2 + 2172*s + 360551660 wrt s.\nAnswer: 6*s**2 + 714*s + 2172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-22 - (-5)\/(-5))\/((-13)\/65) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -1. Let o = 2 + f. Solve o - 2 = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 2\/(-2))*2. Suppose v + 4*v = -2*x + 71, 0 = 2*x + p*v - 68. Suppose 9 = 7*y - 19. Solve 7*d - 10 = y*m + 2*d, 0 = 5*m + 4*d + x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224 + -98. Let w = y - 61. Let z be (w\/(-15) - -5)\/((-2)\/(-18)). Solve 2*x - z = 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -568, 2\/3, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/35 - 102\/(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1544 + -1543.999347. What is u rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3 and (-5*(-2)\/20)\/((-11)\/(-48)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 59.07. Let b = 0.17 - d. Let k be 4\/(-14) + 208\/(-56). What is the second smallest value in b, 2, 0.2, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -466035, -466027, -466013, -465993, -465967, -465935?\n\"Answer: 3*f**2 - f - 466037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/5 - 200136*u**3\/5 - 2201106*u**2\/5 + 14808244*u\/5 - 19210944\/5 = 0.\nAnswer: -100057, -16, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/(sqrt(84)\/sqrt(63)) + 1 + -4.\nAnswer: -3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7029 is divided by 172?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.52403l to millilitres.\nAnswer: 50524.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 1165*i**4 + 574*i**4 - 42*i**2 + 593*i**4 as u*i + h + x*i**4 + t*i**2 + c*i**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317823208.\nAnswer: 2, 13, 12671377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 659, 2661, 6001, 10679, 16695, 24049, 32741?\nAnswer: 42771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7152 - -7179. What is the closest to a in 1\/11, -5, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 26. Solve d*k = -4*g - 19, 2*g + 18 = -3*k - g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) - (-1)\/4. Let x = b - 1. Let k be 5\/(-15)*(0 - 3). Is k bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-110)\/(-10) - (6 + 6)\/(-4). What is the smallest value in -3\/4, -4, -3925, w, -0.5?\nAnswer: -3925","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - n = -0*n - 35655, -5*d + 5*n + 178265 = 0. Suppose 7*s + 3524 - d = 0. Round s to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1772 * 185998.\nAnswer: -32958.8456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005797259 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-111)\/(-195) - 24\/(-104))\/2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15076, -30174, -45278, -60388, -75504?\n\"Answer: -3*u**2 - 15089*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*t = -131*t + 630. Solve 0 = 2*g - 25 + t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6*k**2 + 5)*(k**2 - 3*k**2 + k**2) - 3*k**4 + 4*k**4 - 7*k**4 - k**4 + 2*k**4 + 0*k**4.\nAnswer: -11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -77284240 to the nearest 100000.\nAnswer: -77300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189965390 and 120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 213 = -205 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2452 is divided by 439.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -3*r + 3*z - 6, -5*r - 3*z = 8. Let l = 1 + r. Is 7 a factor of 60\/6*(l - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 20031*g + 799673. Calculate q(40).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 0, 5, 31 in increasing order.\nAnswer: -5, 0, 1, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -43, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*c + 9*a = -3209, -642*a + 637*a + 95 = -5*c for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -2\/13, -1\/1617, -3, 5?\nAnswer: -1\/1617","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 230 = -5*v, -9*z = -5*z + 5*v - 210. Suppose f - 3*f = -38. What is the remainder when z is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*z + 40. Let w = -14 + z. Let v = w + 14. What is the highest common factor of 20 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.05495804 to 3 dps.\nAnswer: 30.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g + 16. What is x(9)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1184*f + 7119. Determine t(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -588 + 591. Let t(f) be the second derivative of 0 + 7\/4*f**4 - 3\/20*f**5 + 17*f + 27\/2*f**2 - 15\/2*f**g. Let t(y) = 0. What is y?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1998?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 11}. Give prob of picking 2 k and 2 x.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 9*j + 17. Let b be c(-7). Suppose 0*x + 9 = -4*w - 5*x, 5*x + 17 = -2*w. Let m be -2 + 4\/4*w. Solve m*o - 3 = b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 d when four letters picked without replacement from {d: 5, b: 9}?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h - 12 = 0. Suppose -2*k - h*k + 20 = 0. Suppose -3*p + 3*b + 126 = 4*b, k*p = b + 161. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 9*u**2 + 179 + 6*u - 11*u**2. Suppose -3*f = 5*y + 10, -13*f + 12*f - y - 2 = 0. Does 18 divide k(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -470 in -0.5, 93, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + k)*(-4*k**2 + 4*k**2 + 2*k**3) + (-12*k + 336*k**2 + 12*k)*(-k**2 - k**2 - 3*k**2).\nAnswer: -1678*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*a + 819 + 461 = -2096 - 2420 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -176 + -861 + 991.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 4 - 31 + 3601*u - 1819*u - 1769*u. Let q = -14 + 25. Give v(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 9:47 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(1 - 1 + 2*s)*(s + 7*s + 7*s) as i*s**2 + q + h*s and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4797206*o**4 - 3*o**2 - 63625*o + 5.\nAnswer: 115132944*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 206651\/3 - 69815. Let j = c + 55637\/60. Find the common denominator of j and -29\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 171353?\nAnswer: 514059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 37180.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**4 - 7*c**4 + 4*c**4 + (2*c - 3 + 3)*(-2*c**3 + 2*c**2 - 2*c**2) + 10*c**4 - 21*c**4 - 13*c**4 to z*c**3 + b + a*c + n*c**2 + w*c**4 and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143836 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 2:32 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000084706807 rounded to 7 decimal places?\nAnswer: 0.0000847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 9 = -2*d. Suppose h = -2*s - 0*h - 15, -h = 4*s + 27. What is the remainder when d is divided by ((-1)\/(4\/(-6)))\/(s\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 302515.6 - 302515.8799934. Let o = -9.28 + 9. Let u = o - i. Round u to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1457 + -1447. Calculate the smallest common multiple of t and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/100 and 127\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -59.72. Let t = q - 8.62. Round t to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 11*a - 13. Let k(s) = -2*s**2 + 22*s - 26. Let p(i) = -6*k(i) + 13*w(i). What is the remainder when p(6) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 1 (c) 2\/9 (d) -0.05432\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7316397 is divided by 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -221989056 divided by -4728?\nAnswer: 46952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -251*g**6 - 310*g**2 wrt g?\nAnswer: -30120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18065088 and 0.522786.\nAnswer: 18065088.522786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = u. Let t(s) = 5 + u*s + s + 4*s - 6*s. Let l be t(6). Calculate the highest common factor of 119 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 19. Is h at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-25 - -30)) + (1 - 23)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.198 - -0.802. What is the nearest to n in 5, -2\/21, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -224 + 244. Determine f, given that 6*f**3 + 5*f**3 - 2*f**5 + 19*f**3 + 160*f**2 + 175*f - p*f**4 - 3*f**5 + 60 = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/165)\/((-181)\/(-3077)).\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 15*s = -20. Suppose 0 = -5*b + s + 5. Put b, -0.04, -1\/7 in descending order.\nAnswer: b, -0.04, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 12*b**3 + 82*b**2 + 264*b + 138. Let w(n) = -25*n**3 - 165*n**2 - 528*n - 275. Let v(t) = -6*w(t) - 13*y(t). Factor v(c).\nAnswer: -2*(c + 6)**2*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 12*g = -21*g. Differentiate 94 + g - 6*r**3 + 11*r**4 + 4*r**3 + r**3 with respect to r.\nAnswer: 44*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4189 - -4188. Is s at least 6\/799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 9*b**2 + 0*b**3 + 1\/20*b**5 - 2*b + 0*b**4 + 0. Let o(n) = 20*n**2. Determine o(d(i)).\nAnswer: 180*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 27976.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 25292920, 4, 3 in ascending order.\nAnswer: 3, 4, 25292920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 0*w - 4*u + 15 = 0, 0 = -2*w + 4*u - 22 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -500013\/38 or -13157?\nAnswer: -13157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*s + 112*s = 0. What is the closest to 0 in 25, -1\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/4))**(-9\/4)*(w\/w**(-2\/7))**(1\/3) assuming w is positive.\nAnswer: w**(-141\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 + 0.47. Sort i, 1\/17, 11 in ascending order.\nAnswer: 1\/17, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29 (b) -5 (c) 2 (d) 2\/5 (e) 166 (f) -0.4 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48498 - -48451. Suppose 4*y - y - 12 = 0. Sort p, y, 5 in descending order.\nAnswer: 5, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m - i + 92, -4*m + 2*i = -200. Let r = m + -47. Which is the third smallest value? (a) r (b) -2 (c) 1\/2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 169 - 125 = r - 138, -4*r - 5*w + 166 = 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1330.75 to zero decimal places.\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 25 - 0 - (31 + -38 - -16)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-510*m**2 + 1022*m**2 - 26*m - 510*m**2)*(0 - 6 - 2) as u*m**2 + x*m + s and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -21. Let c = 3 - n. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**8\/2016 + 43*h**7\/420 - 145*h**6\/24 + 6143*h**5\/180 - 1337*h**4\/16 + 441*h**3\/4 - 4*h**2 - h - 70. Factor y(p).\nAnswer: -(p - 63)**2*(p - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5896 + -5613. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 - 3*x + 10. Let c be 14\/(-2) - 1 - -4. Let r(a) = 0 - 3*a**2 - a + 0 + 2*a**2. Let q(y) = c*r(y) - z(y). Calculate q(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + (-117)\/143?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -26.93. Let f = 4.93 + k. Which is the smallest value? (a) -0.2 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 58 + 58 - l - l + 0*l + (1 + 1 + 0)*(0*l + 2*l + 0*l))*(14*l - 18*l - 10*l).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 16567.\nAnswer: 82835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39517843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (9 + -1 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 373?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 11*b. Let z(t) = -t**2 - 4 + 5*t + 4. Let o(n) = -n**2 + 16*n - 4. Let d be o(16). What is d*w(f) + 9*z(f)?\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131\/3 + -44. Is 2\/29 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 415617 and 227509?\nAnswer: 74395443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Let p(m) = 2*m - 2. Calculate the remainder when p(2) is divided by (-4 - z - -1)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1261\/40 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5327691l?\nAnswer: 532.7691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -626*v**2 + 82*v**2 + 2 + 23*v - 4.\nAnswer: -544*v**2 + 23*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 7*o**6\/120 + 5*o**4\/24 - 7*o**2. What is the second derivative of q(v) wrt v?\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -415*h - 5. Let p be q(5). Let b = -964 - p. What is the tens digit of 10\/55 + b\/33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -960*b**3 + 2661*b**3 + 2648*b**3.\nAnswer: 4349*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7163 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 22. Calculate y(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -50*a - 83. Suppose 83*b = -46*b - 35*b - 328. Determine z(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2 + 100735*a - 9492145 wrt a?\nAnswer: 4*a + 100735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0432 and -25.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 35 - 1126*s + 12 + 51)*(0 + 0 + s**3).\nAnswer: -1126*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-6)\/10*(-56)\/21. Which is the third smallest value? (a) 0.3 (b) s (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 32*i - 2. Let p be d(1). Let t be 1 + 2\/((-2)\/3). What is the units digit of (24\/p)\/(t\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -5\/19, 2\/7, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 241\/4, -2, 530?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56320.49 millilitres in litres?\nAnswer: 56.32049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 2)*((-72)\/(-324))\/(8\/(-150)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2413 divided by 2413.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8 = -271. What is the remainder when i is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**4\/4 + 4*n**3 + 13*n**2\/2 - 11*n + 292. Suppose -5*h + 2*h - 30 = 0. List the prime factors of o(h).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 11359 (c) -2 (d) -0.2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + (0 + -3)\/(-6))*6. Is 5*(-3)\/i - -670 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138503457, 138503454, 138503449, 138503442?\nAnswer: 138503433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 616 divide 5288310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**3 - 12*o**2 - 4*o - 11. Let m(n) = -n**3 + n**2 - 1. Let r(k) = -5*m(k) - s(k). Let q be r(8). Let c = q - -71. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381786296 smaller than 381786297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 99.892 and 0.4.\nAnswer: 100.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14413 - 13202. What is the lowest common multiple of r and 14?\nAnswer: 2422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzuuuoozdu. What is prob of sequence zudo?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-30))\/(1\/(-5)). Let t be (-1)\/3 + (2 - 1). Which is the closest to 0? (a) -0.2 (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*p = 4*p + 588, -t + 128 = -3*p. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2 + 0 + sqrt(128))**2 + -3).\nAnswer: 32*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/(4\/(-12)). Suppose r*x = -3*w - 2*x + 124, 3*w - 120 = -3*x. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Let j(u) = h*u**2 - 6*u - 2*u**2 + 2*u**2. Let y(w) = -3*w**2 + 7*w. Suppose -2*k - 2 = 0, 1 = n + 4*k - 0*k. Determine n*j(s) + 4*y(s).\nAnswer: -2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 7*f**2 - 6*f + 5. Let z be 2\/8 - (-25)\/(-4). What are the prime factors of g(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**7\/35 - l**4\/6 - 8*l**2. What is the second derivative of b(k) wrt k?\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-189))\/(386\/1351)*171\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 3:26 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -539, -540, -541, -542, -543?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + (sqrt(2) - (sqrt(2)*-1 + 5)) + (1*sqrt(24))\/sqrt(12))*3)**2.\nAnswer: -360*sqrt(2) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 600031, 600029, 600025, 600019?\n\"Answer: -x**2 + x + 600031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.2 + 15.4. Let u = 0.4 + n. Let v = -18.0000104 + u. What is v rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3344485741.1 + 0?\nAnswer: -3344485741.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 5464 divided by 2\nAnswer: 2732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-40) + (-870)\/80. Let o be 7 + (-237)\/33 + (-13)\/z. Which is smaller: -2\/203 or o?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**2 - 150873*c + 1890461?\nAnswer: -6*c - 150873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*p + 243*p + 1 + 283*p - 4.\nAnswer: 281*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 2672\/32 - ((-429)\/(-22) + -19).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/2, 3, -21, 0.1, 2, 142\/3.\nAnswer: -21, -5, 0.1, 3\/2, 2, 3, 142\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 6*l**2 - 6*l - 3. Let s be n(-5). Let r be 20\/36*(-9936)\/(-1840). Factor r*o**3 + 16\/3 + 16*o**s + 52\/3*o.\nAnswer: (o + 4)*(3*o + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2903.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16 - 16)\/10 - 12*1)*(-12)\/360.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 13 - 8 - (-1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 t when four letters picked without replacement from {k: 3, q: 1, t: 2, h: 3, a: 1, w: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*g**2*t**2 + 2*g**2 + 3*g*m - 3*g*t + 2*m*t**2 + t wrt t.\nAnswer: -144*g**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 - -1) + (-2352200)\/44568.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 10 + (-14 - -10). Put -5750, b, 0, -3, -1 in ascending order.\nAnswer: -5750, -3, -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.001 - -16.999. Let c = l - 16.99999893. What is c rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38\/117 + -4\/39. Which is the closest to -1? (a) -4 (b) m (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 7\/4 (c) 3\/2 (d) 5 (e) 3 (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3*(-5)\/8295) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**4 - 8*k**3*n**3 - 6*k**2*n + 2*k*n - 380*n**3 wrt k.\nAnswer: 12*k**2 - 48*k*n**3 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44*a*n - 17*a - 25*n**2 - 10 wrt n?\nAnswer: 44*a - 50*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (3 + (-3 - -1) - (-12 - -25))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 - 275137?\nAnswer: -275115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 15537?\nAnswer: 15540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-220))\/((-12)\/(-976)). Let c = 4\/55 - m. Sort -3, c, -3\/8 in ascending order.\nAnswer: -3, c, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 16744332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {b: 16, e: 2}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 19*t + 7. Let n(m) = 3*m**2 + 18*m - 7. Let v(o) = -4*i(o) - 3*n(o). Suppose -3*p = 10 - 73. What is the tens digit of v(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 + 169 + 11*v + 2*v - 14*v - 76.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 + 4 - 4 - 20*l**3.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -6 (b) 2\/11 (c) 6\/5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 4*x - 3*j, 40217*x - 55*j = 40222*x + 140 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 - 6*s - 10. Let i(z) = -5*z**2 + 7*z + 10. Let k(d) = -5*i(d) - 6*j(d). Give k(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/(148\/24))\/((-93)\/(-1)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1152)\/(-2592) + -2 + (-206)\/(-144)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117 - -120. Suppose -d*f + 15*f = 120. Does 13 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -16. Suppose g - 5*q = -13, -2*g = -q - 2 + f. Suppose 2*n = g - 4. Sort -5, n, 1\/6 in descending order.\nAnswer: 1\/6, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3314 + 3319 + 16*w - 6633.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54 or 103?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -0.2, 0.3 in decreasing order.\nAnswer: 18, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/(42\/(-18)) - -223. Let x = 228 - q. Solve -2*v + o + o - 8 = 0, 2 = x*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**5\/12 - 3*j**3 + j - 3. Let z(g) be the third derivative of u(g). Let k(h) = 3*h**2. Give z(k(b)).\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 5*q - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 220 + -222. Let a be (u\/6)\/(13\/429)*-1. Solve -5*w - 9 - a = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 361 + z**2 + 21*z**4 - 211 - 8*z**4 - 65 to the form x*z + r*z**4 + u*z**3 + t*z**2 + o and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4282630 (base 10) to base 8\nAnswer: 20254406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0*j**2 - 6*j**2 + 3*j**2. Let d(o) = 208*o + 125*o - 2 + 2 - 300*o. What is d(m(z))?\nAnswer: -99*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15603 and 380.\nAnswer: 5929140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 452243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l - 25*l - o = 3*o + 4, 5*l + 43 = -13*o + 150 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 - -1.7. Which is the third smallest value? (a) r (b) -4 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 416.2 - 416. Let u = -9.24 + 0.04. Which is the third biggest value? (a) j (b) -0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + (-33)\/(-9) + (-4630)\/4515. Let j = -3\/43 + p. Which is the closest to 3? (a) 1\/5 (b) j (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670791 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 480\/235 + -3 - -1. Let a be 1 - (6\/2 - 2). Is i bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*x**5 + 3*x**5 + 20*x**2 + 3*x**5 + 2*x**5 wrt x?\nAnswer: 1020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374 - 68 = -2860*r + 2877*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.06 + 0.67. Let b = -20130.110074 - -20130.5. Let j = l + b. What is j rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 9*j - 24. Is 70\/4 - (-3)\/j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12632 is divided by 4210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2748)\/(-110) + -25)*(-6)\/(-3))\/(4\/(-40)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-96))\/(1512\/185472).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 6*z**2 - 7*z + 4. Let j be u(-7). Suppose -81 - 75 = j*t. Is -39 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 6*s - 2*s = -24, -5*k + 3*s = -23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-4)*15\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 20*x + 10. Let q be 24\/(-48)*(1 + -1). Let w(c) = -6 + q*c - 2 + 2 - c + 5. Give -t(s) - 10*w(s).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 11\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, g: 7}. What is prob of sequence ag?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -23*b - 27. Let n = -10 + 4. What is the units digit of g(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 3*p - 95. What is the remainder when j(-15) is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 18. Let g be b(3). Suppose g*c = 3605 + 5920. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 22*g**2 - 60*g - 16. Let p be c(3). Factor 0*a**p + 0 + 2\/7*a**5 + 2\/7*a**4 + 0*a - 4\/7*a**3.\nAnswer: 2*a**3*(a - 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12057039 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28437\/112 + 4131\/16. Let -30\/7*r**2 + s - 2\/7*r**3 + 2\/7*r = 0. What is r?\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(17\/2)\/((f\/(f\/(f*f**(2\/5)\/f)))\/f)*(f**(-3\/4))**(13\/6) assuming f is positive.\nAnswer: f**(299\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {w: 2, l: 3, y: 2, e: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 2*a - 7*a. Suppose 0*o - a = o. Let j = -12 - o. What is the remainder when 11 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 1 - 7 - (7 - (-19 - 11)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -224*l**2 + 116*l + 1918. Let v be a(-14). What is v rounded to the nearest 1000?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 35 and 0.554.\nAnswer: 35.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, k: 2, u: 5, b: 2}. Give prob of sequence ubb.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3\/3 - 875*i**2\/3 + 1450*i = 0?\nAnswer: 0, 5, 870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 16*q - 29. Give v(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-11)\/3)\/(-2*(-5)\/(-660)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153800, 307609, 461418?\nAnswer: 615227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625671 is divided by 71?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203108323.\nAnswer: 11, 18464393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 8. Let q be m(-10). Suppose -4*f + 36 = d - 2*d, 0 = q*f + 3*d - 32. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1673634 is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + 19. Let v = b - -136. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 18*j**2 - 20*j - 18. Let x be y(-19). Let g be 5\/(105\/(-14)) + x\/15. Which is the biggest value? (a) g (b) 3 (c) -0.5 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 100, 420, 956, 1714, 2700, 3920, 5380, 7086?\n\"Answer: k**3 + 102*k**2 + 7*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14458137649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12061 = -23*w - 12015 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 5826127?\nAnswer: -11652254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -27552 - 42?\nAnswer: -27594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 6. Let o be w(-4). Which is the second smallest value? (a) -3 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 6) + (-25 - -32) + (-17 + 8 - -116).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 57373967.7 minutes?\nAnswer: 5691.861875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -58, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 4*x**5 - 5*x**5 + 5*x**5 + 4*x**5 - x**5 - x**5 + (3*x - 3*x - 2*x**5)*(1 - 3 + 0).\nAnswer: 10*x**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323) + (sqrt(1323) + 1*sqrt(1323))*-4 - sqrt(1323))\/(sqrt(225) - -1*(sqrt(225) - sqrt(225)*1)).\nAnswer: -56*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -10*y - y**2 + 10*y. Let n(d) be the third derivative of 1\/24*d**4 + 0*d + 5*d**2 + 0 + 0*d**3. Determine u(n(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 17*x - 9560. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.624067 millennia in years?\nAnswer: 624.067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67324770 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3.2, -5 in descending order.\nAnswer: 5, -3.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 33 - (-1 - (1 + -4) - 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3242.41 and -8.12847.\nAnswer: -3250.53847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20001020010001 (base 3) in base 15?\nAnswer: -436e0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1338)\/9*3 + 2. Let j = l + 1001. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**6\/840 + q**5\/70 - 3*q**4\/56 + 2*q**3\/21 + 14*q**2. Factor m(u).\nAnswer: -(u - 4)*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-585)\/(-81) - (-4 + (-38)\/(-9)). Suppose -85 = c*p + 20. Let x(d) = 2*d + 5. Let h(m) = m + 1. Calculate p*h(a) + 3*x(a).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0448*-0.4.\nAnswer: 0.01792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t + 199 = -186 - 230 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 1. Suppose 2*k - 12 - 2 = 0. What is the remainder when y(-5) is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1089 + 902 = 6492*x - 3255 - 1246 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**3 - 1275136*o**2 - 14027084*o + 33154680 = 0.\nAnswer: -13, 2, 318795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + -1 + (12 - 17). Suppose 26 = 3*p - 2*w, -w - 19 = -2*p - 0*w. Suppose -3*y + q = -p. What is the remainder when 7 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 931, 937, 947, 961?\n\"Answer: 2*m**2 + 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 95223?\nAnswer: 285669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 10*h**2 + 12*h - 4. Let w be n(-7). Let y = w - 55. Suppose 2*q = 5*q. Solve 0 = y*f - z + 3*z, -f - 2*z = q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50772\/259 - -5974\/37. Let l(p) = -35*p + 1. Let z be l(1). Is z bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -12*a**2 + 971*a - 972. Determine r(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2760562ml to litres.\nAnswer: 0.0002760562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2054394 and 27.\nAnswer: 6163182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/((-6)\/20). Suppose h*l - 5*w + 33 = l, -29 = 2*l - 5*w. Let k(m) = -m - 2. Calculate k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwawhwn. What is prob of sequence ah?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 79*l**2 - 29*l + 133. What is the remainder when i(40) is divided by 88?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5 + (2 + 2 - 5)*(0 - 3 + 4) + 0 + 1 - 2 - 1 - 1 + 4)*(-6 + 5 + 19)*(-3*r + 5 - 6 + 0*r).\nAnswer: -162*r - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:52 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyiyyiiiyiiiyy. Give prob of picking 1 i and 1 y.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4161\/140 + -207\/7. Let q(s) be the first derivative of -9\/10*s**2 - o*s**4 + 3\/5*s + 3\/5*s**3 + 7. Solve q(b) = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) - (-4)\/(-20)*3. Which is the closest to -0.3? (a) -2 (b) l (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + w**2 - w - 8. Let i(r) = -5*r + 65. Let k be i(13). Determine q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 59844.4672 from 3030.\nAnswer: -56814.4672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 82004608 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*f - 11*f - 36. Solve 2*t + t + 9 = 4*u, -5*u - f*t = -18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4024*t**4 + 2*t**3 - 2*t**2 + 572*t + 14?\nAnswer: 48288*t**2 + 12*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfwm when four letters picked without replacement from wgwfwmwmwffyfmw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -20. Suppose z + 0*z - 567 = -v*h, 0 = -h + 3*z + 123. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 165?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2 + 1052*q - 1048 = 0. Calculate q.\nAnswer: 1, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5.3. Let h = 1358 + -1361. Let r be (h\/4)\/(32\/128) + -7. What is the closest to 1\/5 in y, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -451, -1286, -2503, -4102, -6083, -8446?\nAnswer: -11191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5 + 243169*s**4 - 14786071795*s**3 + 398784131091*s**2 + 15960083049432*s + 108540707053104 = 0.\nAnswer: -12, 51, 121571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 1. Let z = 33 - 26. Suppose z*d + 3 = s*d. Let m(j) = j + 1. Calculate m(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7\/(-3) + -1)*(-48)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 12\/5, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:03 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 36 = -186*i + 190*i, 2*w + 8 = 0. What is the second biggest value in 1.4, -0.2, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.115326 rounded to three dps?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**2 - 4240*s - 1123600 = 0.\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2 - (-174)\/12. Let s be (-27)\/(-6)*10\/n. Let f be 1 + -7 + 1968\/369. Which is the closest to 3\/2? (a) f (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -58.8. Let p = -1.8 + h. Which is smaller: 4\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - 3*o - o**5 + (-3*o - o + 0*o)*(-17*o**4 - 7*o**4 + 6*o**4) - 2*o**4 + 2*o**4 + 2*o**5 - 2*o**4.\nAnswer: 73*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 6*v**2 + 14*v + 12. Let l be g(14). Let w = -867 - l. Is w a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000302411 to six dps.\nAnswer: 0.000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 209285208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 21*k + 725. Calculate q(-38).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 474*z - 15. Determine r(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.99756 - 0.00244. Which is greater: g or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 27*n**2 - 647*n - 16142. Give l(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -729 by 81.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -282 divided by 141\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-2 + -1)) + 3 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 736256606 a multiple of 620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19212019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 0*z - 24 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16119160 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-5*(-4)\/120.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24433431*u**4 - 26928009*u**2?\nAnswer: 586402344*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 m when three letters picked without replacement from {s: 1, m: 1, l: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16640 and 650880?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 60. Let m(c) = n - 43*c - c**2 + c**3 - 3*c**2 - 6 + 44*c. Determine m(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-5) - (24\/(-15) - 4). Suppose -133 = -x*g + 281. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1480a8 (base 11) to base 4.\nAnswer: -320033231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (3 - -3 - 7) + -3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, c: 1}. What is prob of sequence zzcz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-15) - 2)\/((-6)\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 13\/2*k**2 + 13\/30*k**6 + 0*k**5 + 8*k + 0 + 0*k**4 + 0*k**3. What is the first derivative of t(z) wrt z?\nAnswer: 52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9022 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * 9676\nAnswer: -1161.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1340009 and 473.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101012220 - -21022?\nAnswer: -100221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68222183*g**2*v**3 - 393*g*v**3 - g*v - 25*v**3 - v**2 - 2*v wrt g?\nAnswer: -136444366*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.127, 0, -4, -0.4, -25 in increasing order.\nAnswer: -25, -4, -0.4, -0.127, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 18. Let q = s + -2. Solve q*w - 9 = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20498 (base 10) in base 11?\nAnswer: 14445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-105) - 10\/105. What is the closest to 3 in 0.1, 0.9, b?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(200 - 186*k - 200) to the form v*k + n and give v.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1887, 1\/4, 0.4, -2\/3 in decreasing order.\nAnswer: 1887, 0.4, 1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -4428633.\nAnswer: 2214316.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 2\/7, -3\/2, -136, -1?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 - 1 - (-1 - (-5 + 2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 11:20 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -10*l**3 + 2*l**2 + 3*l + 1. Let x be i(-1). Is x equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 31*w + 219. Let h be u(-7). What is the common denominator of 119\/6 and 0\/h + (-6 - (-819)\/162)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(72) - sqrt(72))\/((sqrt(486) - (sqrt(486) - (sqrt(486)*-1 - sqrt(486) - sqrt(486))) - sqrt(486)) + sqrt(486) - sqrt(6)).\nAnswer: -sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/21 - 55624468*z\/3 + 2707321260247646\/3 = 0. What is z?\nAnswer: 97342819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 4:03 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 958 + -958.0000496. Round t to six dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 113*i + 4. Let s be r(-3). Let p = -229 - s. Let m = p - 74. What is the greatest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 + 7*w**3 - 6*w**3)*((-30*w - 9*w**2 + 30*w)*(2 - 2 - 2) - 48*w - 4*w**2 + 48*w).\nAnswer: 84*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43aa - -52?\nAnswer: -4358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -25*f + 2*f. Solve x + f*x = -5*t + 12, -2*t - 3*x = -10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 - 301. Let c = f + 1314\/7. Let a = -164 - -162. Sort -1\/6, c, a in increasing order.\nAnswer: a, c, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 24. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, n: 2, u: 3, a: 3, z: 2, j: 2}. What is prob of picking 1 n, 1 j, and 1 z?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 4\/6)\/((-7)\/(-189)). Suppose -4*w + 2 = -w + 2*j, w - 5*j = -22. Is 6\/f*(-3117)\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 20 (c) -0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008 + 0.238836?\nAnswer: 0.230836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from oqocooqccoqqoqqccqoo.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -2460038606840?\nAnswer: -2460038606839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 889.3691 litres to millilitres.\nAnswer: 889369.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15193 - 135?\nAnswer: -152c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from hvsvssvsvsshsvvvhv.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**5\/5 - 3*r**4\/4 + 103*r**3\/6 - 5*r. What is the second derivative of l(i) wrt i?\nAnswer: -24*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 1414?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -414, -13451 in decreasing order.\nAnswer: 3, -1, -414, -13451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*17260.2577.\nAnswer: 3452.05154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 0*l - 2*l + 2*l in the form n + t*l + p*l**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -w + 5, 2*f - 834 + 812 = -6*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/56*-21*(-1 - (-1)\/3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 30*k + 3. Let s be -3 + 3 - 16\/10. Is k <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/9, -2\/23, -6\/11, 73, 1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 7*u - 1. Let a be r(7). Let b = 47 - 49.1. Let z = b - -1.6. What is the closest to 0.4 in 1, z, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 5*k**2 + 6*k - 4. Let a be r(-6). Let w be -4 + 3 - (-15 + 5). What is the units digit of a - (-3)\/(w\/57)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1557*d**2 - 2548*d?\nAnswer: -3114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -58276.91 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -71, -138, -205?\n\"Answer: -67*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 9. Let n be c(5). Suppose -1052 = -n*o + 8. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/6*36\/(-4). Suppose 3*s + o = -3. Let u = -7 - s. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + 4*w + 7. Let l be x(8). Let u be (2\/((-16)\/6))\/(l\/(-616)). Factor 5\/3*j**u - 1 - 2\/3*j.\nAnswer: (j - 1)*(5*j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k - 121 + 399 - 124 + 9*k - 154.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 h, and 2 o when four letters picked without replacement from {b: 3, h: 1, g: 4, o: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t + 4 - 5 + 351*t**3 - 350*t**3 to the form b + k*t**3 + r*t**2 + g*t and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11640006 = 2*z + 2*d, 4*z - 4*d + 10610116 + 12669872 = 0. What is z rounded to the nearest one hundred thousand?\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 525 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5 + 367*u**4 + 8721*u**3 - 164567*u**2 - 244416*u + 233428 = 0.\nAnswer: -67, -2, 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -34, -6, -2, -7 in decreasing order.\nAnswer: 3, -2, -6, -7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163575*o + 163563*o - 490746*o + 163575*o.\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 196\/3*o**2 - 14*o**3 - 1\/60*o**5 + 0 + 5\/6*o**4 + 86*o. Suppose s(q) = 0. Calculate q.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905 is divided by 81?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 4*n**2 - n. Let c be h(2). Suppose 0 = -3*m - 9 - 3. Is (-564)\/8*m\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 530, -0.2, -2\/13, -0.3 in descending order.\nAnswer: 530, 0.1, -2\/13, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.2441 milligrams to nanograms.\nAnswer: 31244100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/5 (b) 0 (c) -1\/2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Let y be p\/(-2 + -1) + -3. Let r = 3539 - 3544. What is the third biggest value in 5, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 5*n**2 - 39*n - 54. Determine c(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -225.6\nAnswer: 1353.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3159 + -2796.4. Let t = -34.6 + r. Let q = t + -328.0298. What is q rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 4:50 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + ((-8)\/(-30))\/((-3)\/(-40)) and 51\/23?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103 - -44. Let v = y - -58.2. Which is the nearest to v? (a) 2 (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-5)\/2)*4. Let j be -2 + 3 + 130\/(-90). What is the closest to 1\/3 in g, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*r**2 - 80*r**2 - 290*r**2.\nAnswer: -434*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2*-3*(-10)\/3. Let j be x\/(-2)*44\/275. Put -0.4, -2, 0.4, j in descending order.\nAnswer: 0.4, -0.4, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17 + 1 + 22\/11. Suppose -3*a + 30 = l - 5, 5*a + k = 0. Let g = l - 47. Solve g*v + v = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2, 0*o - 3*o - 2*n - 7 = 0. Let k(s) = -s**3 - 5*s**2 + 2*s + 1. Let b(r) = r**3 + 6*r**2 - 3*r - 1. Let x(g) = -2*b(g) - 3*k(g). Give x(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15342517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -7 (b) -154925 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 564*d**2*g**2*v**2 + d**2 - 41*d*g**2*v**2 - 3*d*g*v - 5*g**2*v**2 - 35*g**2 - v**2 wrt d?\nAnswer: 1128*g**2*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -1, 64 in decreasing order.\nAnswer: 64, 26, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 76513583\nAnswer: 229540749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -779 - 0?\nAnswer: -779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 - -0.11. Let i = 286334.1199802 - 286334. Let v = i - z. Round v to 6 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(8\/(160\/(-50))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 - 633*v + 110*v.\nAnswer: -523*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**5\/9 + 22*s**4\/9 + 542*s**3\/9 - 4544*s**2\/9 - 541*s\/9 + 4522\/9 = 0?\nAnswer: -19, -1, 1, 7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 353855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/4))**(9\/8)\/(o**(-8\/7)\/(o*o\/o**(-12))))**(28\/5) assuming o is positive.\nAnswer: o**(3203\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 14 + 5. Let t = 1349 + -1343. Solve 0*i = -p*i - t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 19*l + 19. Let m be y(-1). Put -4, m, 5 in decreasing order.\nAnswer: 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*r + 181 = 461. Is r smaller than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4 + 1\/4*p**2 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i - 293 + 773 = -141*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3 - 5*q + 2*q + 4*q - 2. Let x(c) = -4*c - 7. Let r = 1 - 2. Determine r*x(a) - 5*k(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1 + 0) + -3. Let t be z\/22 + 114\/22. Solve -9 = -3*v - 5*i - 4, -4*v + t*i = 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128544?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*a - 758 + 587 - 1041 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + s**4 + 3*s**2 + 2*s**2 - 4*s**2 - s**4 + 4*s**2 + (2 + 2*s**2 - 2)*(s - s + s**2) - 2*s**4 + 4*s**4 - 4*s**4 + s**4 - s**4 - s**4.\nAnswer: -s**4 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -1043?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003228 to 7 decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ali when three letters picked without replacement from {o: 2, k: 1, a: 3, g: 3, i: 2, l: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-35)*(-6 + 92\/6)*-10?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 4*d**2 - 4. Determine x(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -2 + sqrt(300)*-2 + sqrt(300) + 3 - (2*sqrt(48)\/sqrt(2))\/(sqrt(8) + -1*sqrt(1152) - sqrt(8)))*-1)**2.\nAnswer: sqrt(3)\/3 + 13\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -76399 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)*j*j*j*j\/j**(-3\/2))\/(j\/(j*(j*j\/((j\/(j**6*j))\/j*j*j))\/j)*j*j*j*j*j*j\/(j**(1\/6)\/j)) assuming j is positive.\nAnswer: j**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y + 11*y - 3 + 4*y.\nAnswer: 21*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00071887254 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/5*-1*1. Is g greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -3, 18, 59, 126, 225, 362, 543?\n\"Answer: v**3 + v**2 - 3*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 1106*v**2 - 9720*v + 39168.\nAnswer: -2*(v - 3)*(v + 12)*(v + 544)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16908 and 222.\nAnswer: 625596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 6*y - 6*y + 5 - 2 - 25. Let n(c) = -4*c**2. Give n(j(u)).\nAnswer: -16*u**4 + 352*u**2 - 1936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 399\/14 + 6\/4. Put -5, -3, -4, g in descending order.\nAnswer: g, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*v - 135052 = 0, v = n + 23415 - 57179. List the prime factors of n.\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*19810.\nAnswer: -3962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/14392 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/((-5593)\/34) + (-132)\/560)\/((-320)\/50).\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*c - 3*c - 196 = 0. Solve i - 6 = -c*r, -2*r + 5*r = i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/16184 and 31\/416.\nAnswer: 841568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22110 + -1?\nAnswer: 22102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 78 - 418. Calculate the remainder when c is divided by (2 - 0)\/(4\/46).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 1194*y**2 + 84891*y + 86086.\nAnswer: (y - 1118)*(y - 77)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*y = -103*y - 5*y - 5229 - 7769 for y.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -2. Let f = 25 - s. Find the first derivative of 0 - 19*p**4 - 1 + f*p**4 wrt p.\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 510 and 591 - -8*((-119)\/(-14))\/17.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**6\/80 - 21*y**5\/160 + 15*y**4\/32 - 13*y**3\/16 + 3*y**2\/4 + y + 15. Factor z(x).\nAnswer: 3*(x - 4)*(x - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/612 and 886\/(-360) + (280\/72 - 4)*2.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-4))\/((1\/(-3))\/(2816\/1056))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 13*k**2 + 6. Let b be c(13). Solve 35 = 7*y - 2*y + 5*l, 3*l = b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -55*y**4 + y**3 + y**2\/2 - 10*y + 392. Find the second derivative of i(r) wrt r.\nAnswer: -1320*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3109868 divided by 59?\nAnswer: 3109868\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -36, -17, 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1735477.\nAnswer: 1735477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 90*s = -89*s + 58532, 5*s = -5*v + 292710. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - f**2 - f - 1. Let d(p) = -3*p**3 - 3*p**2 - 4*p - 4. Let z(w) = 2*w - 12. Let i be z(4). Determine i*l(c) + d(c).\nAnswer: c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*w - 15 - 222 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + 108. Let r = p - 119. Is (1 + 29\/4)*r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of k**4\/6 + 7*k**2 - 13. Let q(d) be the second derivative of u(d). Let l(h) = 3*h**2. Give l(q(b)).\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16456477, 16456483, 16456493, 16456507, 16456525, 16456547, 16456573?\nAnswer: 16456603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 14991 and 15008 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 5*n + 17 = -5*c, 0 = 5*n - 5. Suppose 0 = 3*k + c + 9. Let z be -1 - (-2 + (-2 - -3)). Put k, -11, z in descending order.\nAnswer: z, k, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from {z: 3, p: 3, a: 1, y: 3, u: 1, m: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3857 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**4\/12 + 2*y**3\/3 - 80*y**2. Let q be 1*(-2)\/2*5. Determine b(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-2)*8\/(-132). Let m = -37\/99 + i. What is the nearest to 0 in -3\/2, m, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let d be r(2). Let k(i) be the first derivative of 1\/3*i**3 - 1 + 4*i + 0*i**d. Differentiate k(n) with respect to n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i - i - 4 - 3*i + 1. Let u be m(5). Solve -5 = -2*w + u*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**8\/84 + h**6\/10 - 2*h**5\/15 - 5*h**2 - h. Let s(u) be the first derivative of y(u). Solve s(k) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*g**2 + 37*g**4 - 37*g**4 + 23*g**5 - 15*g**2 wrt g.\nAnswer: 1380*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4828448 to the power of 1\/2, to the nearest integer?\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 15*m**2 - 13*m - 10. List the prime factors of y(-13).\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2923.56 from -2391525400.\nAnswer: -2391528323.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 37 = 3*c, 3*u + 7*c - 125 + 42 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 6\/7 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 212?\nAnswer: -3\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -187 (base 9) to base 2\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 58. Suppose i + 51 = -5*a + 172, -75 = -3*a - 3*i. Let n = a - d. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -248 and -183 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -812 and -1.52.\nAnswer: -813.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 12) + 75\/5 - ((-138)\/6 - 2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1032 and 822072.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100011 + -1101001120211?\nAnswer: -1101001220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 71242.1959 to the nearest one hundred.\nAnswer: 71200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -5 (b) 51 (c) 0.03 (d) 0 (e) -5\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2541))\/(sqrt(28)\/sqrt(100))*-3)**2.\nAnswer: 326700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {d: 2, a: 17}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, 168, 587, 1184, 1965, 2936?\nAnswer: 4103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 533 (base 6) to base 8\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -100010?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 18127539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-4)*187308\/26015.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 922 or 920?\nAnswer: 922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 > -1301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/((-288)\/12627))\/((-2)\/(-24)). What is the highest common factor of 366 and m?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -4.42.\nAnswer: -1.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 69282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*u + 1 + 2, -4*g - 4*u = -8. Suppose 4*y - 3*n = 114, 2*y = g*y - 5*n - 140. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 359.82 to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*t + 3*t. Let s = 3 - 4. Suppose -n + 4*n = 0. What is the nearest to 1 in s, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**4\/6 + g**3\/6 + 4*g**2. Suppose -28*q - 136 + 360 = 0. Suppose -5*f = -2*x - q - 7, -4*x = -f - 15. Calculate r(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 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: What is the tens digit of 1140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2367*z - 130280 + 7180 = 18920 for z.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 25936 = 12*y + 10706, 48856 = 4*q - 4*y. Does 62 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 5)*(-39)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 31 + 2*s - s - 36.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1907618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587907 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -4 + 8 + (-52 - -56)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8830154.898 to the nearest one hundred.\nAnswer: 8830200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/21 + 2132*g**3\/21 - 35746*g**2\/21 + 83320*g\/21 + 209800\/7 = 0. Calculate g.\nAnswer: -3, 10, 1049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + (-1 + 45)*(-12)\/(-64) and -2 + 0 - (-68)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, c: 1}. What is prob of picking 1 c and 3 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 10:46 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2 - 21809*f + 38143 with respect to f.\nAnswer: -4*f - 21809","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18998 - -208750\/11. Is -20 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-17 + -7 + 31)*16\/14.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qctnnsysyqqqnqn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3086 - -3088. Determine g, given that 5 + j*g + 1\/5*g**2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-1\/2)))**(-1\/49)*(s**5*s)\/(s**(-5\/3)\/s)*(s**(-1\/4)\/((s*(s\/(s**(2\/9)\/s))\/s)\/s))\/(s\/(s**1\/s))**(-31) assuming s is positive.\nAnswer: s**(68177\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -23550786 to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 299*t**3 - 39*t**2?\nAnswer: 1794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 59 = 77. Let i(f) be the second derivative of 0 - 5\/6*f**3 - 2*f**b - 6*f. What is the derivative of i(n) wrt n?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*j - 4. Suppose -64*u + 2160 + 528 = 0. Let h be (21\/9)\/(u\/144). Solve 3*x + x = 4*k - h, j*k - 1 = 5*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660 a factor of 22053674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5)*1)**2 + sqrt(5) - sqrt(5) - sqrt(10)\/sqrt(2)*5 - (-4*sqrt(180)\/sqrt(4))\/sqrt(9).\nAnswer: -sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {j: 5, o: 1, s: 2, u: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -0.5, 0.09, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3168 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 46 (b) -0.2 (c) 5 (d) -300\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12393.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**2 + 27*w**2 + 24*w**2 + 56*w**2.\nAnswer: 88*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeegegg. What is prob of picking 1 e and 1 g?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d + 17*d - 6*d - 8*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = -102 + 1292. Let f = 105 - p. Let s = 20 - f. Solve 3*n + 3*o - 6 = s, 0 = -2*n - 5*o + 24 - 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (27 - 20 - 15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(-2 - 13 + 0)*(4*h + 6*h - 2*h).\nAnswer: 360*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.9 - -32. Let m = 0.8 + 2.2. Let u = m - q. Is 1\/4 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-16)*4*(7 - 3). Let o(g) = 10*g - 1. Let w(h) = -12*h + 2. Let b(x) = v*w(x) + 4*o(x). Determine b(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c - 5. Suppose 38 = 7*m - 3*m - 3*t, 14 = 3*m + 5*t. Let f(d) = 4*d + 8. What is m*o(r) + 5*f(r)?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.34 plus -29?\nAnswer: -39.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 24 = -16. Suppose 36 = -y*h + 8*h. What is the units digit of h\/(1 - 4) - -41?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -419397, -419401, -419405, -419409, -419413, -419417?\nAnswer: -419421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*n, 0 = 4*l + l + n - 26. Let p(i) = i**3 - 6*i**2 - 2. Let c be p(l). Let z(v) = 2*v**2 - v + 1. List the prime factors of z(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -40 - 4*s**2 + 44 + 7*s**2. Let j(u) = -2 - 55*u**2 + 117*u**2 - 64*u**2. Let c = 2 - -1. Determine c*g(q) + 5*j(q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 1386\/(-286) - 7\/((-1274)\/(-24))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 1:25 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-26)\/(p**3\/(p**(-1)\/p)) assuming p is positive.\nAnswer: p**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53.87 + 54.27. What is the closest to 0.2 in b, -2\/87, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -7. What is the closest to -0.3 in 2\/9, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h + 4*h - 12*h. Let v(q) be the first derivative of 14 + h*q - 2\/57*q**3 + 0*q**2. Factor v(k).\nAnswer: -2*k**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - 2*r**3 + 0*r**3 - 2*r**4 + 2*r**2 + 2*r - 2 to the form u + s*r**4 + t*r + v*r**2 + y*r**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**4\/24 - 2*u**2. Let r(w) be the second derivative of -3*w + 0 + 0*w**2 + 0*w**3 + 1\/12*w**4. Calculate r(o(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by -13?\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 15.6474.\nAnswer: 31.2948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 + 314*h\/5 + 636\/5.\nAnswer: -2*(h - 159)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*5 + 1. Let k = -5.06 + -11.94. Let d = -16.9 - k. Which is the third smallest value? (a) d (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2072688 by 2.\nAnswer: 1036344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28, -22, -16, -10, -4?\n\"Answer: 6*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {s: 1, t: 1, c: 2, r: 5, v: 6, g: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -118, -229, -316, -367, -370, -313?\n\"Answer: 2*r**3 - 125*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122517 + 122517 + 2486*n + (-2*n + 5*n + 0*n)*(-4 - 2 + 4) to w + d*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-424008)\/(-48) - 182\/28. What is the greatest common divisor of 182 and v?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from fnwinnp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6169 - 5956 - 56*k + 12124.\nAnswer: -56*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 - -72. Suppose 17*y = 4*m + 12*y - 145, -k*y = -m + 45. Find c, given that -27\/2*c**2 - 6 + m*c = 0.\nAnswer: 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-31))\/f*(f**40*f)\/f)\/(f**23\/(f*f*f\/(f**(-2\/21)*f))) assuming f is positive.\nAnswer: f**(-250\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.3 (b) 10 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111011011110 (base 3) to base 16.\nAnswer: -1c4736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -23.69. Let m = -0.719 + t. Let j = m + 0.02899797. Round j to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1100) - sqrt(1100)) + sqrt(1100) + -2.\nAnswer: -5 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252905953?\nAnswer: 13, 96377381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 + 257 = 65*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 + 201. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*l = -51*l + 44, -b + 372 = -l + 380 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70832252 and 16020?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*b + 69. Let i(y) = y. Let l be i(-7). Let h(p) = p**3 + 8*p**2 + 5*p - 10. What is the least common multiple of b and h(l)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -258356 + 258362.10017. Let u = h - 6.1. What is u rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201120428.\nAnswer: 2, 50280107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -1)\/(-1) + (-4)\/(-2). Let r(p) = 2*p**2 + 3*p - 2. Determine r(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5358 and 114.\nAnswer: 5358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11421 (base 5) in base 6?\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372 + 624 = 166*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/25467 and 17\/732?\nAnswer: 6213948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -7*j**4\/24 - 2*j**3\/3 - 6*j**2. Let g be s(8). Does 9 divide 2\/5 + (-696)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3010 - -111002012?\nAnswer: 111011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 5*z - 4. Suppose -z*m = -5*m. Solve -u + 6*u - 10 = m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 7*k**2 - 14*k - 20. Let b be u(-5). Suppose b = -3*t + 691 + 191. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252 + 252 - 17119*s + 17120*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 4*a**5\/15 - a**3\/6 + 18*a**2. Let b be c(-1). Solve -d = -4*d - b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10478 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34645 - -48926. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5387855ml in litres?\nAnswer: 0.0005387855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -175 (b) -4\/7 (c) -8 (d) 1.82 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -494010341 by -4.\nAnswer: 494010341\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 41 = -9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4 - 9 = 0. Put s, -2, 1 in increasing order.\nAnswer: -2, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 3*b**2 + 2*b + 1. Let z be d(3). Let t = 8 - z. Is 12 a factor of ((-28)\/35)\/(t\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 9*y**2 - 46*y + 765. Give s(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x**4 + x**2 + 2. Let c(u) = -56*u**4 + 22*u**3 + 3*u**2 + 20*u + 54. Let l(g) = c(g) - 5*p(g). What is the third derivative of l(a) wrt a?\nAnswer: -264*a + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -31*k**2 - 11*k**2 - 118 - 3*k**4 - 22. Find the second derivative of n(a) wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nggnnnngeg. What is prob of picking 2 n and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -470 divided by 5?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -23 (b) -0.3 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 44 + (-6890)\/182.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4807 is divided by 4665?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k**2 - 2*k - 4. Let a(p) = -81*p**2 - 4*p - 19. Let w(g) = 16*g**2 + g + 4. Let s(o) = -2*a(o) - 11*w(o). What is 8*d(q) - 5*s(q)?\nAnswer: -2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 7*o + 8. Let k be f(8). Let u = 6 + k. Calculate the highest common factor of 66 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -15*x**2 - 2*x + 9. Let b be 1\/((-6)\/(-57)) - (2 - 21\/14). Let n(a) = 8*a**2 + a - 4. What is b*n(c) + 4*w(c)?\nAnswer: 12*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -323574933 and 1.\nAnswer: -323574932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, m: 2}. What is prob of picking 1 m and 1 h?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d94 + -1?\nAnswer: 4d93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:13 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/27 and -47\/9453.\nAnswer: 85077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 at least 1.68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/4 (c) 2 (d) 15 (e) -86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 22*i**2 - 7*i - 1. Let s(a) = a**2 - a. Let v be -8 - (3 + -1 + -11). Determine v*l(w) - 5*s(w).\nAnswer: 17*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 4\/(-8)*8. Let i be (12\/8)\/(g\/2). What is the second derivative of -2*y + 9*y**3 - 19*y**3 + 10*y**i + 5*y**5 wrt y?\nAnswer: 100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7)\/s)**3\/(s**(-18)\/((s\/s**(1\/18))\/s)) assuming s is positive.\nAnswer: s**(1775\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a factor of 2951567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-44)\/6)\/(((-136)\/(-51))\/4). Let m(c) = -2*c**3 - 24*c**2 - 23*c - 4. Give m(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z - 3. Let u be (5\/3 + 1)\/((-3)\/9). Let j(m) be the second derivative of 5\/2*m**2 + 0 - 3*m + 3\/2*m**3. What is u*s(r) - 5*j(r)?\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/17)*s**(-7)*(s*s*s**(2\/5)*s)**(-50) assuming s is positive.\nAnswer: s**(-3007\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3702003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*y + 5*m, -27*y + 32*y + m = 32 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1578*c**2*j + 9*c*j + 62*c + 1 wrt c.\nAnswer: 3156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2\/(-14) - 150\/(-35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**3 - 14*q**2 + 5*q + 6. Let z(w) = 2*w**2. Let b(x) = v(x) + 5*z(x). Let m(l) = 5*l**3 + 4*l**2 - 6*l - 7. Calculate -6*b(h) - 5*m(h).\nAnswer: -h**3 + 4*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 23*g - 71. Calculate o(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5552 - -5551.28. Let a = 74.72 - 79. Let v = n + a. What is the second smallest value in -13, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-39) - 308\/26. Let f be w\/20 + 56\/10. Factor 16\/5*u - f*u**3 + u**2 + 4\/5.\nAnswer: -(u - 1)*(5*u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.00931.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451 - 377 = -69*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -824.464265 rounded to the nearest integer?\nAnswer: -824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 + 4 = -4*z. Let g be 2\/11 - (46098\/z)\/(-6). Suppose g*d - 10596 = 229*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -85421 - -14?\nAnswer: -85408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 - (-12)\/((-12)\/(-3)). Let f(g) = -g**3 - 5*g**2 + 5*g - 2. Give f(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410\/2728*(-24)\/1875?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 g, and 1 c when three letters picked without replacement from icgrrrc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 4. Let i be y(-8). Let m(z) = -18*z - 2. Let j be m(i). Calculate the greatest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103297 and 901?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1497631 and 1528.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154757354 to the power of 1\/2, to the nearest integer?\nAnswer: 12440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 0. Suppose x*t = 2*t + 6. What is the derivative of d + 0*d + t*d + 3 wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -8) + 14 + -25?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.1, -0.181, 3\/20?\nAnswer: -0.181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-30)*7\/((-21)\/9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -685 - -719.28. Let p = 34 - x. Is 1 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 1, c: 1, f: 2}. Give prob of sequence fxxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:59 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(2))\/sqrt(6)*-3 - (sqrt(320) + (sqrt(320) + 2)**2)*-2.\nAnswer: 77*sqrt(5) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -983*w**7\/70 + 5569*w**4\/24 - 385*w**2 + 2*w - 5. Find the second derivative of m(t) wrt t.\nAnswer: -35388*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7615, 30403, 68379, 121543, 189895, 273435, 372163?\nAnswer: 486079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*n + 24, -5*f - 5*n + 7 = -28. Suppose 14 + 26 = f*a. Solve -3*u = -3, 0 = -4*h + 2*u + 2*u - a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*y - 24, 3*y - 7*y = -d. Let r be -2 - -1 - 10\/(-2). Find the second derivative of -5*f**r - 2*f - 2*f**d + 4*f**4 wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2394, 4225, 6070, 7935, 9826, 11749, 13710, 15715?\n\"Answer: v**3 + v**2 + 1821*v + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 529, 195, -135, -461?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 - 23971971*r - 191551797874947\/2.\nAnswer: -3*(r + 7990657)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 20*w**2. Let t(n) = 7*n. Calculate f(t(x)).\nAnswer: 980*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11 and 0.0329.\nAnswer: 11.0329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + a**2 + 0*a**2)*(1 + 1 - 5)*(94 + 84 - 14).\nAnswer: -984*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23 - ((0 - -12) + 8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 406 + -308. Which is smaller: r or 99?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*r**5 + 130*r**4 + 305*r**3 - 140*r**2 - 25*r + 10 = 0.\nAnswer: -1, -2\/7, 1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110638421*i**2*o**3 - 19*i*o**2 + 1479421*o**3 wrt i?\nAnswer: -221276842*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1110.84267 or -0.2?\nAnswer: 1110.84267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1)*a)\/a**(-4))**7\/((a\/(a\/(a*a**(-2\/5)*a*a*a))*a\/((a\/(a*a**(1\/11)\/a*a*a))\/a))\/(a**(-5)\/a*a**(-1)\/a)) assuming a is positive.\nAnswer: a**(1117\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r + 6 + 4 - 6*r. Let w be 23 - 9 - (2 - (2 - -4)). Suppose 0 = -2*k + w - 4. What is o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 4*i**2 + 5*i + 3. Let c be p(-5). Let m = -94111\/9 - -10457. Factor 0*t + 2\/9*t**c + 2\/9*t**4 - 2\/9*t**2 + 0 - m*t**5.\nAnswer: -2*t**2*(t - 1)**2*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - (-3069)\/66)\/(133\/(-1292))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -8 - -9 - 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 0 + 0*y**2 + 1\/3*y**3 + 2*y. Let r(z) = -z. Determine r(g(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 756280 and 756280?\nAnswer: 756280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3442 - -1612. Let w = -3437 - z. Let d = w + 3006. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 44 + 126*n + 125*n - 249*n. Let j be w(-19). Let t(k) = k**3 - 7*k**2 + 7*k - 9. Calculate t(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 - 8*o**2 + 5*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5570.803648 - -0.103648. Round j to the nearest one hundred.\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)*(q*q*q*q**(-3\/4))\/q*q*q*q*q)\/(q**(-1\/22)*q**(-17\/3)) assuming q is positive.\nAnswer: q**(523\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/5, 6, -1 in descending order.\nAnswer: 6, 0.2, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -41*p**2. Let k(o) = 33*o**2 + 34*o - 11. What is k(w(u))?\nAnswer: 55473*u**4 - 1394*u**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -635 + 631. What is the biggest value in 3, 0.09, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = -8. Differentiate -2 + f + 6 - 5*h + 1 wrt h.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36393 is divided by 6062.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 14) to base 3\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -124 + (59 - -9) + 55?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from oifoiooieif?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/28 - 5\/(-6). Determine t, given that 4\/3 - 4\/3*t - 4\/3*t**2 + m*t**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1772 - 964. List the prime factors of o.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606 - 600 = -j - 3*t, -3*j + 2*t - 18 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v - 5. Let f be p(-4). Suppose -10 = -f*g + g. Let q be -4 - (0 + 2\/2). Sort g, q, -4 in decreasing order.\nAnswer: g, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -0.2. Which is the fourth biggest value? (a) q (b) 0.3 (c) -1\/25 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/9)\/(4\/(-3)). Let k = 22.7 - 23. Let n = k + 0.3. Which is the closest to w? (a) -0.2 (b) -1\/6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3892861 is divided by 16152.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1347, 3360, 6037, 9378, 13383, 18052, 23385?\n\"Answer: 332*y**2 + 1017*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h + 1 = 15*h + 5*r, -5*h = 4*r - 9. Which is smaller: h or 96\/139?\nAnswer: 96\/139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -2, -10, -11, -232, 3 in descending order.\nAnswer: 4, 3, -2, -3, -10, -11, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(912))\/sqrt(3) + (sqrt(152) + (sqrt(152) + -1*sqrt(152) - sqrt(152)))\/sqrt(8) + -1.\nAnswer: -8*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0*(-2)\/8) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.1 + 1.1. Suppose 17*n = 23*n + 30. Let u = -3 - -3.1. What is the nearest to u in 4, k, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1242519 = 5*f, -5*w + 1875*f - 1877*f + 1553119 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5135 + -7591. Let g = q - -4585. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**4\/5 + 36*o**3\/5 + 12*o**2 - 20*o = 0. What is o?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1151, -5 in decreasing order.\nAnswer: 1151, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 10*l = -237. What are the prime factors of l?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72166831 by 1.\nAnswer: 72166831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 655712947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y + 10 = -20*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 49\/5 of a gram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/270 and 57\/170?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + u - 1. Let o be x(1). Suppose 0 = -5*p + 4*k + 59 + 49, -2*k = o*p - 54. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-15))\/(12540\/(-28215))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 16132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-435)\/(-5887) + (-6)\/42.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 670 and 30070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 5*s**2 + 5. Suppose 4 + 4 = 4*j - 2*o, 0 = -2*j + 4*o + 16. Let v be (-1 - j) + (-65)\/(-13). Let h be 1\/v - (-190)\/40. What is m(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -174 (base 9) to base 4.\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2 (c) 5 (d) 26\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + -1 - (-142 + 9)) + -3. Let d = -112 + n. Calculate the remainder when 94 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -868*n*w**4 + 803*n*w**2 - 2*n*w - 682*n - 13054 wrt w?\nAnswer: -3472*n*w**3 + 1606*n*w - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 = -22. Suppose -7*i + 37 - 9 = 0. Suppose 8 = i*d - c, -4*d - c = -d - 6. Sort 1, -5, s, d.\nAnswer: -5, 1, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2\/5 + 56*c\/5 - 159\/5 = 0?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 10:06 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(3*(-3)\/54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2. Let t be m(1). Suppose 2*p - 10 = w, -p - t*p + 20 = 3*w. Suppose w*z + 4*z - 24 = 0. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 112054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 = -2*b + 1, 2*b + 14 = -2*k. Calculate the common denominator of (-52)\/12*-5 + (b - -1) and 2*((-3)\/56)\/(3\/(-166)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2313036 divided by 594\nAnswer: -3894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-18) + (-650)\/819 + 4\/7. Is -3\/127 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 7)*(1 + 3 - 2)*((0*d - 4*d + 2*d)*(1 - 1 + 1) - 11 + 4*d + 11) in the form w*d + b and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 1. Suppose w + 4 = r, -4*r + 8 = -8*r - 2*w. Let n be s(r). Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from -158548219.\nAnswer: -158548212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**5\/60 - 5*z**4\/24 + z**3\/2 + 4*z**2. Is s(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -17. Let l(y) = -y**3 + y. Let o(w) = 7*w**3 + 6*w**2 - 15*w - 8. Let k(v) = 6*l(v) + o(v). What is the units digit of k(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -i - y + 21, i - 13 = -3*y. Suppose -17*o + i*o = -301. Find the common denominator of -67\/36 and -2 + (o\/(-84) - (-1 + -2)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 15790, -11, 3 in descending order.\nAnswer: 15790, 3, 1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -430987, -861976, -1292965?\nAnswer: -1723954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1 - 113*v + 38*v + 35*v + 39*v. Let l(f) = -15*f + 2. Give 2*b(a) - l(a).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -119. Is s >= 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1828925 and -0.5.\nAnswer: -1.09144625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*j = -148*j + 3*h - 18, 0 = -5*j + 4*h - 34. Put -0.1, 6, -3, j in ascending order.\nAnswer: j, -3, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 24670536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -30. Let s be o\/(-2) + 76\/19. Does 17 divide (s - -35)\/1 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**3 - 3*h**3 + 0*h**3)*((3*h + 2*h - 6*h)*(17 - 17 + 29*h) + (-1 + 6 - 2)*(0*h**2 + 3*h**2 - 5*h**2) - 2*h + 2*h + h**2).\nAnswer: -136*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3386024.1ms to days.\nAnswer: 0.03919009375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/165*3\/6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 42?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -215*y**3 + 795*y**2 - 880*y + 300.\nAnswer: -5*(y - 2)*(y - 1)*(43*y - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + 6. Let p = -18 - -42. Calculate the highest common factor of f and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8790385?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 370 + -292.2. Let t = q + -78. Put 1\/4, 24, t, 3 in descending order.\nAnswer: 24, 3, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**5\/30 + 21*o**4\/2 - 2813*o**3\/3 - 47045*o**2\/3 + 3871*o. Factor y(l).\nAnswer: -2*(l - 97)**2*(l + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/351 and 70\/351.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/2, 8, 0 in decreasing order.\nAnswer: 8, 0, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 - 20 = 2*l + 5*v, -98 = -l + 4*v. What is the remainder when l is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.096129 - 0.1\nAnswer: -0.003871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 0.615711157.\nAnswer: -0.515711157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 550, 1292, 2340, 3700, 5378, 7380?\nAnswer: 9712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.24, -71, -2\/7 in decreasing order.\nAnswer: 0.24, -2\/7, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.585 + -3.195. Let g = -0.11 - q. Let w = 2.4878 - g. What is w rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 105, 173, 285, 441, 641, 885, 1173?\n\"Answer: 22*s**2 + 2*s + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 33. Let n = 2183.1 + -2068. Let l = 115 - n. Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-6 - (8 + (-8 - 6) - 8))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 9. Let k = -15 - -36. Let v be (8 + -6)*k\/(-6). What is c(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h + 5. Let u be j(-5). Let z(o) be the third derivative of o**4\/24 + 17*o**3\/6 + o**2 - 12105*o. What is z(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from uuuuuuduuuuuuuuuuuuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 4*s**2 - 4*s + 8. Suppose 2 = 2*a - 10. Let p be b(a). Let i = p - 20. Calculate the greatest common factor of 90 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11383, 11257, 11057, 10783, 10435, 10013?\n\"Answer: -37*i**2 - 15*i + 11435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 49 = 4*k - 5*x, 0 = -2*k - 2*x - 22. Is k bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, f: 14}. What is prob of sequence pfpp?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3907627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**2 + 2909750*d - 17458680 = 0. Calculate d.\nAnswer: -581956, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 10, -8.\nAnswer: -8, -2\/19, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**4 - 131328*a**2 - 73971483?\nAnswer: 8*a**3 - 262656*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-122)\/4*(-2)\/(-1). Suppose 0 = -4*g - 668 + 464. Let v = g - m. 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 ((-252)\/10)\/6 + 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27 - -7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 25 = -a, -205*b + 10 = -207*b + 3*a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11893 times -8?\nAnswer: -95144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 6*o**2 - 9*o + 7. Let t be g(4). Suppose 6*q - t*z - 79 = 4*q, -3*z = 5*q - 145. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + m - 3 - 3*m + 5*m - m + (-1 + m + 1)*(-3 + 2 + 3) + 2*m - 2 + 2)*(-2 + 2 + 2*m**3) in the form r*m**4 + z + t*m**2 + o*m**3 + q*m and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 - 2*s**2 + s. Let k be (-4)\/(-1) + 6\/6. Suppose 0 = -9*i + 14*i - k. Give w(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 7*y + 16. Let m be s(-9). Let j be m\/(-30)*69 - 3\/5. Differentiate r**2 - r**2 + 16*r**4 - 29*r**j - 22 wrt r.\nAnswer: -52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6165 is divided by 516?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/16 and 73\/23456.\nAnswer: 23456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -11*f - 0*f - 30, -5*f = 4*q + 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 3868\/21 and 184 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/351)\/((-49)\/42)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3)*(-4 + 6 + 6)*(-p + 2*p - 2*p) to the form i*p + w and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*c + 2914 + 5267 = 9*c - 1539 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43 - 43 + 3*r)*(6*r - 6*r - 2 + 2*r)*(-36 - 60 + 29) to the form y*r + i + o*r**2 and give o.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 799.6892*-4\nAnswer: -3198.7568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 19*t**2 - 148*t - 53. Is i(46) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/4810 and 69\/104414.\nAnswer: 6786910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 734.5092 hours?\nAnswer: 2644233120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 14 = 2*v. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 216141 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 44734 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2757 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 397*z**6\/120 + z**5\/30 - z**4\/24 + 2629*z**3\/3 - 2256*z**2 + 2*z. Differentiate p(s) with respect to s.\nAnswer: 1191*s**2 + 4*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-6)*(-1900)\/4750?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from iiwwkswwmssmbkwwikk.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -10*z**3\/3 + 5*z. Let f be a(-1). Suppose 18 = m - f. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2247782 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 118, -1\/4, 1\/111?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 5*j + 4, v - 1 = 5*j + 23 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(240)*1)\/(-1*(sqrt(972) - (sqrt(972) + (sqrt(972)*-1 - sqrt(972) - sqrt(972) - sqrt(972))))).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/42975 and 32\/52525.\nAnswer: 472725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(18\/(-15) - -2). Suppose t*c = -15, -5*u + 47 = -u - 5*c. Let h(d) = 2*d**2 - 7*d + 11. What is the units digit of h(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138 (base 15) to base 12\nAnswer: 1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -323084 less than 5?\nAnswer: 323089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwb when three letters picked without replacement from {w: 2, b: 2, s: 10}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 22, 0.4, -0.11, -0.01 in descending order.\nAnswer: 22, 7, 3, 0.4, -0.01, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2, 0.4, -3, -7\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = u + 5, 7432*x = 7431*x + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 361011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 2472000 + 2472000.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 807806.\nAnswer: 2, 17, 23, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:34 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -25. Let v(g) = g**2 + 7*g. Calculate v(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = x + 15, r + 3 = -3*x - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*c - 10686*c**3 + 10666*c**3 + 393*c - 194*c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 3002798?\nAnswer: 3002798.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232070.7 months to years.\nAnswer: 19339.225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*y**2 + 2*y**2 + 2*y**2 + 6*y**2 + 37*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18994 is divided by 899.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.89 - 0.11. Let k = r + 11. Suppose 25*q - 10 = 15*q. What is the closest to k in 4, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = p + 5*y, 3*y + 4 = -p - 3. Solve 0*x + 5*n - 15 = 2*x, -p*n = -4*x - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 7:48 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, l: 1, e: 1}. What is prob of picking 1 e and 1 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o**(-8)\/o))\/(o*o\/o**(-3\/4))*(o**3)**35)**(-3\/22))**(12\/19) assuming o is positive.\nAnswer: o**(-4077\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43.5 - 43. Let b = 0.1 - 0.6. Let x = b + 0.8. What is the closest to x in -2, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (2*sqrt(85)*-4 + sqrt(85))) + (sqrt(85) - (sqrt(85) - -6*(sqrt(85)*2 + sqrt(85)))))\/((sqrt(5) - -3*(sqrt(5) + sqrt(5)*-1))*2*-2).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23470344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 110 (b) -3 (c) 8 (d) 324 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.18\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 397, 451, 505, 559, 613, 667?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15904?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 56. Let f(a) = -a**3 + 2*a**2 + a + 1. Let s be f(2). What is q in 8\/3*q**s - 4\/3*q - 4\/3 - 4\/3*q**4 + 8\/3*q**o - 4\/3*q**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17315506763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121*f**3 + 7535*f**2 - 37648*f + 45292.\nAnswer: (f + 67)*(11*f - 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/16705647?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -738 + 124?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 376*a + 159. Determine u(-20).\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147 - 143. Suppose 5*t = -w*b + 71, 56 = 4*t - b + 4*b. What is the highest common factor of t and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/130 and -81\/2200.\nAnswer: 28600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20710 - 20682. Calculate the remainder when 21025 is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -1, -4, -2 in descending order.\nAnswer: 19, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 + 5*y**2 - y**2 + (4971 - 255*y - 4971)*(5*y + 3*y + 7*y)*(-3 + 1 + 4) to r*y**2 + c + z*y and give r.\nAnswer: -7646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*s = -493 - 1172, 5*w + 4*s = 1668. Is 28 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -91, -167, -243, -319, -395, -471?\n\"Answer: -76*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 15752066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1047314694 to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.785638 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 788 + -383. What is the lowest common multiple of n and 9?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13, 1\/5, 4\/15, -155?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -85. Let v = -46.3 + q. Which is the smallest value? (a) v (b) 0 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5\/20 - 5*j**4\/6 - 7*j**3\/6 + 3*j**2 + 76*j. Let a be v(11). Calculate the greatest common factor of 25 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-313\nAnswer: -312.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -231*j**2*u**2 - 3*j**2 - 2064*j*u**2 + j*u wrt j.\nAnswer: -462*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/7 + 85112*a**2\/7 + 340280*a + 2381568 = 0.\nAnswer: -42528, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + 0 + -1 + 1 + -3*sqrt(117) + 2))**2*-6.\nAnswer: -101088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 1036?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -56. Let k = -8 + l. Calculate the highest common factor of 91 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**2\/2 - 2*a + 22. Let s be q(5). Solve -s*m + 5 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 2*a**2 - 21*a - 21. Let g be x(-1). Is -20\/447 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) -174 (c) 0.2 (d) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*d = 16, 3*x - 2*d + 16 = 3*d. What are the prime factors of (10 - (-3 - 561)) + 0\/x?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g = -4*u + 7790, 0 = u + 4*g - 1965. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 752*o**3 - o**2*x - 112*x wrt o?\nAnswer: 2256*o**2 - 2*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 7*f**2\/2 - 4*f - 15. Let t be n(1). Suppose -t*s + 4*b + 7 = -5, -4*s = -5*b - 15. Solve -2*h + 0 - 4 = s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.02, 3, 1\/3, -0.1, 6\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1791*r**3 - 280*r**2 + 10. Let k(x) = -1787*x**3 + 279*x**2 - 12. Let l(n) = 7*g(n) + 6*k(n). Find the third derivative of l(j) wrt j.\nAnswer: 10890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -43?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3600, 3601, 3602, 3603?\n\"Answer: m + 3599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 509 and -68095182820.\nAnswer: -68095182311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 148, 301, 454?\n\"Answer: 153*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 7*z**2 - 5*z - 3. Suppose 12*y - 30 = 7*y. Let w be x(y). Calculate the greatest common divisor of 2 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*f**2 - 422*f - 409.\nAnswer: -(f + 1)*(13*f + 409)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 39914, -2 in increasing order.\nAnswer: -4, -2, 4, 39914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 22.8. Let t = 0.02 - -3.98. Which is the closest to 0.06? (a) f (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156)*-6 + sqrt(156))\/(-1*(sqrt(12) + (sqrt(12) - 1*sqrt(12)) + sqrt(12) + sqrt(12))))**2.\nAnswer: 325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 1)\/(1\/(-12)). Let p be -1 - (h\/9)\/(-4). Let m be -155 + (-777881)\/(-5035) + 2*(-1)\/(-5). Put p, m, -4, 2\/17 in descending order.\nAnswer: 2\/17, m, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, a: 2, u: 7, q: 5}. What is prob of picking 1 q and 2 a?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 130, 40, 57 in decreasing order.\nAnswer: 130, 57, 40, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - -0.3. Let l(k) = k**2 - 9*k - 3. Let w be l(9). Let x = -0.2 + 5.2. Which is the closest to u? (a) w (b) 3\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f + 12 = -3*x, -2*f + 21 = -3*x. What is the second derivative of 57*l - 6*l**3 - 63*l + f*l**3 wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/14)\/(1055\/5908). Let b = -0.5 + 0.9. What is the nearest to 2\/3 in b, g, -3, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 59*v**2 - 256*v - 247. Let n be h(-63). Solve -2*p = n*w - 10, -2*p = -5*w + 9 + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*((w\/((w**(10\/9)*w)\/w*w))\/w)\/w*w**(3\/5)*w*w**(-8))**(4\/15) assuming w is positive.\nAnswer: w**(-1532\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 m when three letters picked without replacement from cvcggchggqvmmmh.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 117420 + 5?\nAnswer: 117425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 1:41 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -90 = -4889875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - -3.5. Let z = -4 + p. Let l = 1 + z. Is 1\/2 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/25154 and 71\/125770.\nAnswer: 125770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 13*s + 12. Let j be z(13). Suppose -2*x = -5*x + j. What is the third derivative of 18*d**4 + 10*d**2 - 4*d**4 - 3*d**x wrt d?\nAnswer: 264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 21. Suppose 5 = -t, -o - o - n = 5*t. Find the second derivative of -8*k + o*k**2 - 5*k**3 - 3*k**2 wrt k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v. Let q(t) be the first derivative of -447*t - 2*t**2 + 2 + 447*t. Calculate q(c(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6) + (-4)\/6. Let v(f) = -7*f**3 + f**2 - f - 1. What is the remainder when 1\/((-5)\/(-20)) - -18 is divided by v(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -5. Let s = z + -3. Which is the nearest to -0.1? (a) 0.5 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -25*u + 23. Let y(t) = -8*t + 8. Let v = -4 - -6. Let r(q) = v*c(q) - 7*y(q). List the prime factors of r(9).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(2\/51)*o*o**34 assuming o is positive.\nAnswer: o**(1838\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1493 and 28.\nAnswer: 41804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 324\/7*s - 46\/7.\nAnswer: -2*(s - 23)*(7*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 4*w**2 - 3*w**2 + (-20*w + 14*w + 55*w)*(-4*w + 11 - 11) in the form n + c*w**2 + b*w and give c.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108073.\nAnswer: 7, 15439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3277018 + -4316607?\nAnswer: -4316606.6722982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x + 57782 + 614058 = 0. Is 76 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 2*d + 853. Let l(n) = -5*n**2 + 9*n + 3412. Let x(z) = -2*l(z) + 9*u(z). Is x(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-6))\/((-9)\/(-6)). Sort 5, -4\/5, h in descending order.\nAnswer: 5, h, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) 3 (b) -4\/3 (c) 2\/3 (d) 1\/7 (e) -5\/488\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 700 and 628180?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -12. Let x be (p\/5)\/(-1 + 2). Suppose -2*b - x = -b. Do -2\/15 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - d + 28 = 0, -5*d + 8*d - 15 = 0. Suppose 57663 = -r*s + 32*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 5:37 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 17*a + 58. Let r be l(15). Solve -5*s - 8 = -r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 + 60.9. Let w = x - 58. Sort 0.4, w, -10, -3 in descending order.\nAnswer: w, 0.4, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)\/sqrt(4))\/sqrt(11) - (sqrt(48) + 1)) + sqrt(21)\/(sqrt(28)*-2 - sqrt(7)))**2 + -5.\nAnswer: 32*sqrt(3)\/5 + 668\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 3*x - 2*x**2 + (4*x - 13 + 13)*(-2 + x + 2)*(2 - 2 - 1).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*q**3 - 335*q**2 + 335*q**2)*(-2 + 1 + 0)*(-17 - 1 - 5).\nAnswer: -851*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-2352)\/(-42))\/56)\/((-5)\/(-39))\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 160 = c. Suppose 3*l = 5*l + c. Let v = l + 29. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*k**2*m - 92*k - m - 28185 wrt k.\nAnswer: 50*k*m - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1351 is divided by 677.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1270650, 0.3, -240?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -237, -234, -231, -228, -225?\n\"Answer: 3*n - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-6))\/((-44)\/99).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 9:21 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 17, -3\/8.\nAnswer: -1, -3\/8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 19*q - 110. Calculate the remainder when q is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**5\/60 + 5*n**4\/24 + 103*n**3\/6 + 1176*n**2 + 2*n. Give f(-9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 2, -5, -4 in descending order.\nAnswer: 2, -4, -5, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509524*h**2 - 509530*h**2 + 1019087*h**2.\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4 + 71*i**4 - 41*i**4 - 1023*i**5 + 1015*i**5 - 12*i - 4 - 50*i**2 = 0. Calculate i.\nAnswer: -1, -1\/4, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*n + n + 3*n)*(-1 + n + 1) + n**2 + 2*n**2 - 2*n**2 - 2*n**2 + n**2 + 2*n**2 - 6*n**2 + 3*n - 6*n + 5*n + 4)*(1 - 1 + 2).\nAnswer: -6*n**2 + 4*n + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 1 + 1)*(4*o**4 + 0*o**4 - 3*o**4) - o + o - 2*o**5 - 21*o**5 - 17*o**5 + 12*o**5.\nAnswer: -29*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**7\/350 - l**6\/120 - 4*l**5\/75 + l**4\/10 + 4*l**2 - 36. Factor a(f).\nAnswer: f*(f - 3)*(f + 2)*(3*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*q**3*y**2 + 49*q**3*y + 133528*q*y**2 - 920*q*y - 3*y wrt y?\nAnswer: 28*q**3 + 267056*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*i + 7 = -2, -3*i = 4*z. Solve -z*u + 2 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-30)*-8)\/(21\/7).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 65*h + 528. Determine j(73).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*t, 0 = 3*t - 0*o - o - 10. Let m(c) = -16*c + 11. Let j(b) = -3*b + 2. Let i(w) = t*m(w) - 11*j(w). Let x(a) = 4*a**2. What is i(x(l))?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from jjjxsjjjjjjxgjj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 3 (b) 1.2 (c) 2 (d) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/1531 in -2\/7, -0.2, -6, 9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -269.\nAnswer: 5\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2497 + 2500. Solve -s = 5*d - 13, a*s + 1 = -5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o. Let q = -15 + 20. Solve 0*p - q*p = o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(72\/(-16) + 0 - -2) - 6. Suppose 3*g + 2*g = 0. Solve g = -n - 3*n - l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 107 = -88. Suppose -3*c = c + 3*v - 54, 5*c = -5*v + b. Find the common denominator of -117\/10 and (5\/(-4))\/(c\/(-20)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**3 + 0*a**3 + a**3 + 25*a + (0*a + 2*a**2 + 0*a)*(2*a - 1 + 1) in the form b*a + x + q*a**2 + j*a**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u**3 + u)*(0 + 3 + 0) + (-3 + 2 + 3)*(-17*u - 8*u + 7*u)*(u**2 + 11*u**2 - 2*u**2).\nAnswer: -354*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 66120\/2175*(-30)\/12?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(77*a**4 - 2*a**3 + 296*a**4 - 20*a**4).\nAnswer: -1412*a**4 + 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -387989336\/909 + 426831. What is the common denominator of r and -1\/117?\nAnswer: 11817","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6*2)\/(7\/14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5 - 20*k**4 - 28*k**3 + 1530*k**2 + 8829*k + 7290 = 0. What is k?\nAnswer: -10, -9, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y + 22. Suppose 4*n = 6*n - 18. What are the prime factors of k(n)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(7) + sqrt(3) - sqrt(3))**2 - ((sqrt(3) - (sqrt(3) + 0)) + sqrt(3))**2*2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -15*n. Let p(g) = 43*g + 17. Give p(w(v)).\nAnswer: -645*v + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 84*d**3 + 94*d**3 + 2*d**2 - 4*d + 5*d**4 - 4*d**4 as f*d + b + c*d**3 + k*d**4 + w*d**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 7*m - m + 3 - m. Let p be d(-9). Solve -5*o = -2*u + 4 + 7, -14 = -p*u + 5*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {u: 3, g: 3, w: 2, p: 1, s: 3, y: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4709574 - -12885394309\/2736. What is the common denominator of r and -109\/48?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5 - 7. Suppose p - 50 = -2*v, -c*v - p - 4*p = -66. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -543*s**2 - 243*s + 82*s - 862*s + 5965*s**2 wrt s.\nAnswer: 10844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*r - 12 + 12)*(-31*r**2 + 266*r**2 + 252*r**2) to the form c*r + m*r**2 + y*r**3 + g and give y.\nAnswer: 3409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5768, -22968, -51596, -91646, -143112, -205988, -280268?\nAnswer: -365946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/20403991 and 21\/4.\nAnswer: 81615964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q + 4*q + 10*q as d + w*q and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -35*w**3 - 5*w**2 + 5. Let l be ((-3)\/(-2) + -7 + 5)\/((-5)\/(-120)). Let b(j) = 87*j**3 + 12*j**2 - 12. Calculate l*k(n) - 5*b(n).\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 29858950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7730 and 75?\nAnswer: 115950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2. Let o(d) be the third derivative of -d**8\/5040 - d**5\/30 + 4*d**2. Let t(h) be the third derivative of o(h). Calculate t(a(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1114 = -11*n - 5*n - 7*n + 171 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126893, -253780, -380663, -507542, -634417, -761288?\nAnswer: -888155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 123221 divided by 7\nAnswer: 17603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29373.18 rounded to the nearest 100?\nAnswer: 29400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2242711 from 9097.\nAnswer: -2233614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/16)\/((-11)\/(-44)). What is the second smallest value in -1.04, 4\/7, u, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22489 or -22483?\nAnswer: -22483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 477.\nAnswer: 1\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13076, -24976, -36876, -48776, -60676?\n\"Answer: -11900*f - 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.5, -118\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 577136953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -5*b**4\/4 - 10*b**3 - 45*b**2\/2 + 66. Let x(t) = 0. What is t?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.34 + -0.06. Let g = 65 + -66.1. Let q = -102.9 - -103.2. Which is the third biggest value? (a) g (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 64 = -t - 3*o, 2*t = 2*o - 32. Let a be (3\/(-4) - (-4)\/t)\/1. Let v(z) = -28*z**3 - z**2. Calculate v(a).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.01, 35986, -1, 3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.1. Let q = -5 + 2. Which is the closest to -2\/3? (a) q (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31658.\nAnswer: 2, 11, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-118)\/(-59))\/((-5)\/((-35)\/(-12))).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 - 75. What is the least common multiple of 4 and 4\/20 - u\/(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - 1 - (-435 - -411)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 - 2*y**2 + 4*y**2 + (-y - 3 + 3)*(15*y + 5*y - 17*y).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04903 and -0.01?\nAnswer: 0.0004903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, p: 2, e: 1, q: 7}. What is prob of picking 3 q?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j*l - 200947*j - 2661897*l + 2 wrt l.\nAnswer: -2*j - 2661897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(19*o**4 - 16*o**4 - 8*o**4 + 4*o**5) + (2*o + 5*o - 5*o)*(0 + 3*o**4 + 0).\nAnswer: -2*o**5 + 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 1\/3*y**3 - 6 + 0*y**2 - y - 33\/4*y**4. What are the prime factors of j(-1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 50. Let x = 9.5 - j. What is the third smallest value in -2, -0.9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2 - 8.2. Let p(h) = 2*h**3 - 34*h**2 - h + 13. Let t be p(17). What is the biggest value in a, -3\/5, t, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -20*l + 275. Determine q(16).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 - 3\/12. Let n = 1 + m. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2218 + 35519\/16. What is the common denominator of 83\/84 and t?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 6. Suppose 3*n + 7 = -d, 22 = z*d - 4*n + 6. Let v be 1072\/32 + d\/(-4). What is the highest common divisor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18067\/2547 - 5\/10. Let t = r - -5\/283. Calculate the common denominator of t and 87\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*x = 4*x + 7, u - 5*x = -7. Let l = 28 - 26. Let w be 6 - (18 - l)\/4. Solve -u*s - 12 = -2*q, -4*q + s = -w*q - 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let b be y - (5 - -1) - -1. Let r = 23 + b. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42633991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -137291681 divided by 7?\nAnswer: -137291681\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*y - 540, -y + 734 = -4*s - 4*y. Let m = -544\/3 - s. Which is the closest to -1? (a) -21 (b) -1\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-14)\/35 + 7 - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.96 - 0.04. Let r be (-336)\/(-105) + ((-8)\/10)\/(-1). Suppose -4*c + 0*c = -r*b - 8, 0 = -b + 3. What is the third biggest value in 2\/11, w, c, 2\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 496057 and 233.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 13*w + 2. Let n be x(13). Suppose n*v - 7821 = -7*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 4 + 0 + -1 - 4*(-5 + (sqrt(1053) - (sqrt(1053) + 4))))**2.\nAnswer: 702*sqrt(13) + 2574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1)*a**(3\/4)*a\/a**(3\/7)*a**(1\/13) assuming a is positive.\nAnswer: a**(509\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 9002400?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v - v)*(4 - 1 - 5)*(4 - 4 - 1) + (-4 - 1 + 1)*(12*v - 32*v - 3*v).\nAnswer: 88*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.158 + 0.042. Which is the fourth biggest value? (a) -1\/6 (b) v (c) 1.1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21887 and 267225?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(-1\/2))))**(2\/19)\/(p*((p*p**0)\/p*p)\/p*p**(-2)\/p) assuming p is positive.\nAnswer: p**(39\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 22*a**2 + 26*a - 7. Let g(j) = -15*j**2 - 17*j + 5. What is -7*g(r) - 5*m(r)?\nAnswer: -5*r**2 - 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119484*r**2 - 119482*r**2 + 238959*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/58 - 2 - ((-56)\/7 - (44 + -52)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0 - 91\/2*n**2 + 9\/2*n**3 + 42*n. What is the first derivative of p(y) wrt y?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2 + 3185092*y + 1268101381058 = 0.\nAnswer: -796273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.7 less than 149883?\nAnswer: 149834.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -11. Let l(h) = -13*h + 5. Let x(z) = 7*z - 3. Let t(g) = w*x(g) - 3*l(g). Let y(f) = -f**2. What is t(y(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7920716*h**2 - 538*h - 1512 wrt h.\nAnswer: 15841432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18486 - 18482. Which is the fifth smallest value? (a) r (b) 439 (c) -0.3 (d) -0.1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5\/3 + 364*z**4\/3 - 1226*z**3 - 14356*z**2\/3 - 1480*z\/3 + 6384 = 0.\nAnswer: -2, 1, 14, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*f + 22, -16 = 4*k - 5*f - 4. Let y be (-6)\/k + 20\/6. Let -y - 1\/3*h**2 - 2\/3*h = 0. What is h?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 60*t**2 + 26*t + 31. List the prime factors of o(-6).\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 + 2*w + 3*w**3 + 10*w**3 in the form c*w**2 + a + d*w**3 + b*w and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(108) + sqrt(108))\/sqrt(6))\/(1*2*sqrt(6)) + 4*4*(sqrt(243) + sqrt(243) + 6*(sqrt(243) + 0 + sqrt(243))))**2.\nAnswer: 48843675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67182, -67186, -67190?\nAnswer: -67194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 1. Let r = 219\/5 + -44. What is the closest to m in 0.1, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/24*(-14)\/147.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 608459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.044 and -805.\nAnswer: -805.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 2\/7, -0.09, -5, 35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 0*m = 0. Let d be 4\/6 - 344\/21. Let a = 16 + d. What is the nearest to a in m, -0.1, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 56. Let x = -4 - -2. Which is the nearest to x? (a) -5 (b) 1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4050042*i**5 + 3558925*i**2 wrt i?\nAnswer: 243002520*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659586396 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46748760 and 5550.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5798?\nAnswer: 2, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (7 - 26) + (2 + -2 - 8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1 = -5. Suppose 4*b = -w + 46, -4*b - l*w = -2*b - 26. Solve -4*n + 3*p + b = 0, -4*p = -2*n + 22 - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-4 + (0 - (-4 - 0)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.75 and 11.89.\nAnswer: 8.9175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5\/5 + 17*b**4\/10 - 4*b**3 + 8*b**2\/5 = 0.\nAnswer: 0, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 12:21 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1850, 7327, 16470, 29285, 45778, 65955, 89822?\n\"Answer: o**3 + 1827*o**2 - 11*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 253*t**8\/336 - t**7\/42 - t**6\/120 + 47*t**5\/20 + t**4\/8 - t**3\/3 - 3605*t**2. Find the third derivative of r(y) wrt y.\nAnswer: 15180*y**2 - 120*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001011010 + 1110?\nAnswer: -110001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24030 or 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 351 and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -45d57b?\nAnswer: -45d577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2927\/13 + -225. Let d = 0.28 - 0.78. Which is the third smallest value? (a) z (b) d (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*p - 148*p = -2964 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 670. Let h(w) = 3*w. Determine x(h(a)).\nAnswer: 9*a - 670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-133)\/(-234) + 14\/(-63). Let n = -137\/208 + v. Find the common denominator of 127\/12 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48018 or -48011?\nAnswer: -48018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 528, 4170, 14030, 33216, 64836, 111998?\n\"Answer: 518*v**3 + v**2 + 13*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/11*3\/((-63)\/14).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 355735278 or 355735279?\nAnswer: 355735279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37728 divided by 1048?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4839 (b) 5 (c) -0.5 (d) -1\/5 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32708 + 1013852\/31. Which is smaller: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -31*f + 4. Let r(o) = -25*o + 3. Determine 6*i(z) - 7*r(z).\nAnswer: -11*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5015 = -5*m, 3*m + 2986 = -2*i + 6*i. Let s = m - -1531. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 9:24 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -86059, -86048, -86027, -85990, -85931, -85844, -85723, -85562?\n\"Answer: l**3 - l**2 + 7*l - 86066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 10, -16, -76, -182?\n\"Answer: -2*u**3 + u**2 + 7*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y\/(y\/(y\/((y\/(y*y**(-2\/5)\/y*y))\/y)))*y*y*y)\/((y**4\/y)\/y))**15)**10 assuming y is positive.\nAnswer: y**690","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5.15, 5, 1400, -0.2, 1?\nAnswer: -5.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from uususuhhsuhuus?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2568146981 to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -188 + 223. Is 33 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -4 - 3*n - 5\/2*n**2 + 1\/3*n**3. Suppose 0 = -2*k - 2*r - 2, r = -5. Determine o(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3565, 6680, 9819, 12994, 16217?\nAnswer: 19500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1156*q = 1135*q - 133140000. Round q to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 2 - 2 + 5 + 0.\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -4*m + 66. Is 6 a factor of ((m - -30) + 4)*12\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1251.77 - -1252. Put o, -1\/10, -2\/5 in descending order.\nAnswer: o, -1\/10, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 808, 1882, 3416, 5428, 7936, 10958?\nAnswer: 14512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 102947.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1138308 + 3?\nAnswer: 1138312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*f - 2*f + 10863, 2*x - 2*f = 5432. Let m = -1642 + x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/3578 and 151\/42?\nAnswer: 75138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 101111 (base 2) to base 3\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1592?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -1355564273102.\nAnswer: -1355564273102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence doo when three letters picked without replacement from vvdvvodrvovrvvrdvv.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 55 = -147. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 8 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 478.96072 - 479. Round g to three dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-6)\/12 - 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 + 40 - 1130*o + 1120*o + 4 as u*o + j and give j.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 5*x + 9*x + 2*x)*(-x**3 - 5*x**3 - 7*x**3) as v + l*x**3 + c*x + s*x**2 + p*x**4 and give p.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y**2 + 24*y**2 - 16*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by -214.\nAnswer: -41\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/(0 + 6) - 2. Calculate the common denominator of (-4)\/s + (-3686)\/(-3990) and -58\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50555 - 43919 = 18*o + 61*o for o.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 + 123845?\nAnswer: 123844.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*z - 424*z + 473*z**2 - 1598*z**3.\nAnswer: -1598*z**3 + 473*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/4 - 3) + -3. List the prime factors of (-5)\/r*56\/(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -5*m + 2*i, 0 = -7*m - 4*i - 7 - 51 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 11*y - 24*y + 396 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(57)\/(sqrt(9)\/sqrt(3)) + 3 + 4 + sqrt(19)*2.\nAnswer: 10 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-5)*z*z*z*z*(z*z\/((z\/(z*(z**10\/z*z)\/z*z))\/z))\/z*z)**(1\/2))**(-1\/25) assuming z is positive.\nAnswer: z**(-12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/304 and 57\/28.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 0*d + 2\/15*d**5 - 5\/6*d**3 + 2*d**2 + 0*d**4 + 0. Find the first derivative of q(u) wrt u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.2. Let q be (-4)\/(-26) - 6\/208. Let s = 1\/40 - q. What is the biggest value in s, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -538 - -2693\/5. Let u(n) be the first derivative of -6 + 0*n - 9\/4*n**4 + 6*n**2 - y*n**5 + 0*n**3. Factor u(g).\nAnswer: -3*g*(g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 9:28 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -117 in 36, 1\/3, -4\/205?\nAnswer: -4\/205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = -4*x + 178 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1093.27051 from -0.061.\nAnswer: 1093.20951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**0\/t)*t*t**(1\/5) assuming t is positive.\nAnswer: t**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -11. Let a = -21 - d. Let i = -16 + 47. Calculate the remainder when i is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1400)\/(-12) - (-4)\/(-6). Suppose 6*v = 2*v + 2*x + r, -5*v + 4*x + 145 = 0. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -59.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2 + 16*a + 8. Let b(r) = -2*r**2 + 6*r + 3. Let t = 484 + -476. Let m(q) = t*b(q) - 3*v(q). Let l(s) = -20*s**2 + 2*s. Give m(l(z)).\nAnswer: -400*z**4 + 80*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09657 rounded to three decimal places?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 53435414 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4080 and 612.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 12*y - 61. Is g(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-5.68\nAnswer: -4.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*b + 272*b + 10 = 0. Let r(h) = h**2 - 12*h + 39. Let g be r(b). Which is greater: 8 or g?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.3. Let c = -1223.3 + 1224. What is the second smallest value in -2\/13, g, -4, c?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17834491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1580*k - 1670. Let j(y) = 1582*y + 1674. Let p(n) = -2*g(n) - 3*j(n). Find the first derivative of p(x) wrt x.\nAnswer: -1586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 25. Let w be b(34). Suppose 0 = w*r - 1697 - 220. List the prime factors of r.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -48*f - 9. Let j be q(-7). Suppose 2*y = -5*a - 559, -4*a + a - j = -3*y. What is a rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2326\/(-60))\/(-2 - 0). Let i = 1\/1156 + -108669\/5780. Let x = s + i. Find the common denominator of -23\/18 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 + 5*f**3 + f**3 + (-2*f**2 + f**2 + 3*f**2)*(3*f + 0*f - f) + (-f**3 + f**3 + 2*f**3)*(-2 + 2 - 1) - 5*f**3 + 2*f**3 + f**3 + 2*f**3 - 2*f + 2*f.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 239 - 223. Let y be (0 + (-4)\/4)\/((-8)\/s). Solve 5*m = -0*m - 20, -3*t = y*m + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-13566)\/274) - (-15)\/(-85)*-1.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290 and 397280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12643 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 28 + 20 = 0. Suppose 5*h = 2*h - 5*w + 163, 2*h = -i*w + 106. Is h a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 383 = 3*n, 3*n + z = 3*z - 379. Let i = n - -226. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/((-1875)\/50) + 267\/(-387)\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3476365*g = 3476434*g + 2553 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from lazky.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 374, 3, 0 in decreasing order.\nAnswer: 374, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42144754?\nAnswer: 2, 97, 217241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**9\/y**(1\/2))**(-1\/17))**(-49) assuming y is positive.\nAnswer: y**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 - -132. Calculate the greatest common divisor of 36 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - 18 - (10 + -4)) + 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:24 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 174 = 4*m, 148 = -3*k + 3*m - 128. Let r = -86 - k. Calculate the remainder when 18 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75147461.\nAnswer: 103, 729587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1529304, 1529299, 1529294, 1529289, 1529284, 1529279?\n\"Answer: -5*d + 1529309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 8:33 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48 + (121 + -1)\/(-20). Solve b = -4*f + 6 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 518?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*u**5 - 41*k*u**2 + 13*k*u - 3*u wrt u.\nAnswer: 40*k*u**3 - 82*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5 + 1.1. Let o = 0.7 + u. Suppose 0 = -4*j - f - 6, 3*j - 4*f - 4 = 1. What is the closest to j in o, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.7 and 17452?\nAnswer: -151832.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-10))\/(129\/(-6) + 31)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*g + 1844, 4*z - 2*g = 596 + 1242. Suppose -z = 6*n + 430. Find the common denominator of 17\/6 and -2 - (-448)\/n - -4.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1404*i**2 - 1323*i**2 + 2723*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (360\/(-50))\/(-12) + (-3187)\/(-5).\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847064669?\nAnswer: 11, 19, 4052941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5\/7 - 1329*f**4\/7 + 80463*f**3\/7 - 847155*f**2\/7 + 1458252*f\/7 - 98604 = 0 for f.\nAnswer: -498, 1, 11, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-7) + ((-486)\/(-42) - 0). What is the greatest common factor of y and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.03 + 0.22. Let a = q + 2.9. What is the second smallest value in 3, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -136. Let z = 274 - i. Is 43 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 19 - 6*v**3 - 33 + 23. Let f(u) = u**2. Calculate f(a(t)).\nAnswer: 324*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218 by 1.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 235765408.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2183887 or -2183863?\nAnswer: -2183863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772*q = 784*q - 120 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3722762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiuuizwli. What is prob of picking 1 z and 1 l?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/32154 and -107\/30.\nAnswer: 160770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*n - 3. Is ((-4)\/4 + 999)*n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/82517517 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1480 = 2*m - c, 5*c = -58*m + 60*m - 1472. Let l = 1972 - m. What are the prime factors of l?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 167 = -5*b, 0*b - 4*b = -2*p + 172. Suppose -p = -5*k + k. What is the greatest common factor of 120 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -359, -0.1113.\nAnswer: -359, -16, -0.1113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 + 109. Sort -4, n, 0.\nAnswer: -4, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 45 = 19*s. Suppose s*u + 8*r - 6*r + 67199996 = 0, 44800006 = -2*u + 3*r. What is u rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1254, 4985, 11226, 19989, 31286, 45129, 61530, 80501?\nAnswer: 102054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 871235782 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 28 = -5*i + 27, 25 = 5*v. Let u = -285 + 185. Let k be ((-3)\/5)\/(4\/u). Solve k = 5*m, 2*h + 3*h + 4*m = -i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 975 and 11549525?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 38*y**2 + 598*y - 3338. What is q(-51)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.099 - -45.\nAnswer: 44.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 14\/159573 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17698252?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c. Let u(o) = -o**3 - 2*o**2 - o. Let b be u(-2). Let x(t) = -b*t + 7*t - 4*t - 3*t. What is x(h(f))?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1018 (c) -149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 20 = k. Let b be k + 1 - (1 + 0). Let g = b - 2. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17948 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 4:08 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2333 + 4077 = 5*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3034*z + 2616*z + 2827*z + 3786*z in the form w*z + x and give w.\nAnswer: 6195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 493 - 98*u**3 + 186*u**3 + 179*u**3 + 11 + 209 - 2*u wrt u.\nAnswer: 1602*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 1977*h + 85036. Determine w(44).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8 = -3*q. Suppose -3 = -q*o - 3*f - 0, -4*o - 5*f = -1. Is o >= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-1)\/15))\/((168\/16)\/7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysr when three letters picked without replacement from lrysa?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + w - 3 = 0, 4*w - 12 = -3*s + s. Let g be (7 + -5)\/(-22 + 24). Suppose -2*r = -6, -4*o + o + 3*r - 12 = 0. Sort s, g, o in decreasing order.\nAnswer: g, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108589 is divided by 5255?\nAnswer: 5039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/13)\/p)**(-3\/5)\/((p*p**(1\/23)\/p)\/(p*p**(-1\/22))) assuming p is positive.\nAnswer: p**(33001\/32890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 220\/721 + -2\/103. Let j be (-2)\/14*(-2 + 3). Sort j, 3, z.\nAnswer: j, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01824, -4\/7, -5, -0.0545 in increasing order.\nAnswer: -5, -4\/7, -0.0545, -0.01824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 459.\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 925973 < 926020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*1 - sqrt(7) - sqrt(7)) + 3 + 1 + sqrt(7))**2.\nAnswer: 40*sqrt(7) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/341 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 1. Let b = -6.2 + v. Sort b, -1, 5.\nAnswer: -1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.48 times -56.388\nAnswer: -196.23024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/50790 and 8\/8465.\nAnswer: 50790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 20 = 6*t. Suppose 2*l = 4*b - 33 - 111, t*l + 181 = 5*b. What is the derivative of 114*s**3 - b - 100*s**3 + 11 wrt s?\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 1:13 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 240, 374, 518, 672?\nAnswer: 836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 43989, 43978, 43967, 43956?\n\"Answer: -11*c + 44000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 - 77. Let w be a - (-2 - 1)*-1 - -37500000. Round w to the nearest one million.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40082, 80385, 120688, 160991, 201294?\nAnswer: 241597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 7*n**2 - 6*n + 8. Let w be o(6). Suppose -3 = -w*h + 5*h - k, -4*h + 4*k + 20 = 0. Let r(x) = -6*x + 2. Determine r(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4. Suppose -303*a = -273*a + 90. What is the smallest value in d, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 18726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**2 + 4*n + 9. Let q(b) = -5*b**2 + 11*b - 5. Let p(k) = 2*k**2 - 4*k + 2. Let m(t) = -8*p(t) - 3*q(t). Calculate 5*m(c) + s(c).\nAnswer: 2*c**2 - c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 193, 205, 231, 277, 349, 453?\n\"Answer: v**3 + v**2 + 2*v + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h - 21. Let v be t(-6). Let g(m) = -m**2 - 12*m - 6. Let s be g(-11). Which is the nearest to -2\/3? (a) v (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k**8*k)\/k)*k\/(k*k**12))**(2\/73)\/((k\/((k*k**(2\/3))\/k*k)*k)**(1\/63)*k*k*k*((k**(-1\/7)\/k)\/k)\/k*k*k*k**(-4)) assuming k is positive.\nAnswer: k**(22310\/13797)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmxmmmsxkkxxmmmxxiix. Give prob of picking 3 x.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5343841, 3 in descending order.\nAnswer: 5343841, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11918.\nAnswer: 2, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -503, -504, -505?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/17 (b) -265 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -647 less than or equal to -281303\/434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -78*o + 247. Give f(-3).\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 26*p**2 + 26*p - 23. Let r be u(25). Solve 5 = -r*t + t - 2*x, t = -3*x - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 2. Suppose t*f = 4*f + 16. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 4. Suppose b*p + 249 = 5*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coocccccc. Give prob of picking 3 c.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 15*o - 2118 = 0. Suppose 0 = -3*q + 430 + o. List the prime factors of q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-1))\/((-158)\/(-28) - (-36 + 6325\/175))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1369 - -2724. Suppose 0 = -u + 5, k - 6*k + 2*u + p = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 208936 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14955*j**3 + 3*j**2 - 3*j + 444 wrt j?\nAnswer: 89730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4057867 and 11324280?\nAnswer: 486944040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73*c + 1150 + 382*c**3 - 2298 - 4*c**2 + 1148 wrt c?\nAnswer: 2292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 6 - 1. Suppose 0 = -5*v + f + 24, -19 + 7 = -4*v - f. What are the prime factors of (11\/22)\/(t\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -152 - -155. Suppose -334 - 623 = -w*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(380\/225)*(-4)\/((-120)\/18)?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161942 a multiple of 433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3) - 0)*6. Let p be l\/(-10) + (-6)\/(-15). Sort -1, p, 1 in decreasing order.\nAnswer: 1, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146 divided by -49\nAnswer: 146\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-2 - 1) + (-27 - -25))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + 4 + -1 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1064\/(-112))\/((-1)\/2). What is the remainder when (2\/(-3))\/(l\/(-3762)) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016973033 to 5 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, q: 1, n: 1, z: 3}. What is prob of sequence oq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1247640148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(2*(-3)\/(-72)). Let v = g - -16. Let p(j) = -7*j**2 + 7*j + j**2 - 2 + j**2. Let i(s) = 2*s**2 - 3*s + 1. What is v*p(d) + 9*i(d)?\nAnswer: -2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/552 and 157\/13524?\nAnswer: 27048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 2 - (-3 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -0*t - 25. Let x be 93\/t + 2\/5. Suppose 5*g = i + 288, 39*g + 42 = 40*g + 5*i. What is the highest common divisor of g and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11*f**2 + 8*f - 11. Let r be ((-4)\/(-1))\/((-10)\/(-20)). Let j = -3 + 9. Let z(w) = -j + 2 + 3*w - 4*w**2 - 1 + 1. Calculate r*z(s) - 3*a(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*s*t + 3*s - 4*t**2 + 56 wrt t.\nAnswer: 3*s - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.06, -4, -0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 w, and 1 f when four letters picked without replacement from wfahfiw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*u, -256*s - 3*u + 13234 = -252*s. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 12977\nAnswer: -1297.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -391685\/2800754 + -1\/4174. Let h = 3\/61 + u. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 361 - 250. Let x(a) = 50*a**2 - 2*a + 1. Let m be x(1). Suppose -h - m = -2*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**4\/8 + 3*n**3\/8 - 3*n**2\/16 - 5*n\/4 + 1501. Factor j(l).\nAnswer: (l - 1)*(l + 2)*(4*l + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1843204 * -0.2.\nAnswer: -0.03686408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-276)\/(-3)*(-3)\/4*-1?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266558 to the power of 1\/2, to the nearest integer?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11151, 14457, 17763, 21069, 24375?\n\"Answer: 3306*s + 7845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 900 divided by -10\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 less than -70.6?\nAnswer: -87.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 + 0.3. Let s = r + -1. Let h = 5.11 - 0.11. Put -1\/4, s, h in descending order.\nAnswer: h, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60574943 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*d - 2 = 0, -70*d + 68*d = -2. Solve -5*m + 11 = -4*y, 4*y = c*y + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98\/267 - -1067929\/534. Let t = o - 2042. Calculate the common denominator of 71\/3 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1191446535 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 14*g - 51*g**2 + 13*g.\nAnswer: -51*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -59*v + 10*v + 50, -4*l = -4*v + 51 + 53 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-16)\/4)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -116 (b) 1 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*c - 3*c + 3*s, 0 = 4*c + 2*s - 46. Let w(y) = -y**3 + 10*y**2 - 5*y - 15. What is the remainder when 123 is divided by w(c)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 10*p + 96. Suppose 4 - p = -5*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llll. What is prob of sequence lll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*x - 2*x**3 + 151*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by -1?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/2 (b) -0.1 (c) 0.1 (d) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 5:44 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j*j\/(j*((j**(-2\/23)*j)\/j)\/j)*j)\/j)\/j)\/j)\/(j*j\/j**(-4)))**(11\/3) assuming j is positive.\nAnswer: j**(-1243\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73121135, 146242269, 219363403, 292484537?\nAnswer: 365605671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let m(y) = -98*y + 3912. Determine l(m(n)).\nAnswer: 98*n - 3912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14677+2\nAnswer: -14675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -768484 or -768494?\nAnswer: -768484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20.54*0.4\nAnswer: 8.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 + 0*s**2 + 3*s**2)*(-159 - 10*s + 13*s + 159).\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 2219?\nAnswer: -1109.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 122. Suppose -4*j + 31 + 53 = -2*n, -l = -4*j - 4*n. Solve -4*f + 5*u + j = -3*f, 0 = -2*u - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/40 and 44\/438605?\nAnswer: 3508840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*u, -2*i - 4*u - 87 = u. What is the tens digit of 9\/i - 109\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12355\/3*(-297)\/(-165)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 8:01 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 60*l**2 + 4*l - 2. Let d(i) = 241*i**2 + 17*i - 9. Let f(h) = -h**2 - 30*h - 146. Let p be f(-24). Determine p*d(j) + 9*t(j).\nAnswer: 58*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 20. Let w be z(6). Suppose -5*r + 74 = w. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2158.\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/632 and 23\/20.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 27*m - 14. Let n(q) = -25 + 9 + 20*q + 9 - 7*q. Let o(t) = 7*n(t) - 4*r(t). Let w be o(-7). Calculate the highest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7022 divide 685898652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((-1)\/3 - 104\/(-60))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**3 + 21*s**2 - 5*s + 2. Suppose -5*d = -y - 20 - 117, y = 4*d - 110. Calculate the remainder when o(6) is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - -3 - (4 - 4). Let t = a + -7. Let f(v) = v**3 + 4*v**2 - 5*v + 7. Let s be f(t). Solve -5*p - 8 - s = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 - 2*l + 13. Let u(n) = -16*n**2 + 7*n - 38. Let z(x) = -11*h(x) - 4*u(x). Let o(v) = -5*v**2 + 3*v - 5. Calculate -11*o(w) - 6*z(w).\nAnswer: w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3480*c**2 - 19637*c**2 + 12642*c**2 - 18519*c**2.\nAnswer: -28994*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, -220, -544, -868, -1192?\nAnswer: -1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82924 is divided by 10365.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.86 - -0.14. Let m = t + -12. Let r = -0.0296 + 5.0296. Which is the third biggest value? (a) -2\/17 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 6*i - 182, 0 = -i + t - 34 + 65 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 582 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 7*j**2 + 67*j - 259. Let x be m(5). Which is the closest to -2? (a) 0.5 (b) -4\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + y + 6, 14 = 4*t - y - 4. Let w be (3 + 0)\/((-6)\/(-14)). Solve -t*j + w*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19064.\nAnswer: 2, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**5\/10 - 5*q**3\/6 + 5*q**2\/2 - q. Let x(p) = p**3 - 3*p + 3. Suppose 5*o + 22 = 92. Let j = o + -9. Give j*x(i) - 3*d(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1770 and 1965290.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 202\/11, 5 in descending order.\nAnswer: 202\/11, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172.86 - 175.86. Let t = 3.5 + -3. Put t, -3\/10, k, 0 in increasing order.\nAnswer: k, -3\/10, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -548694, -1097006, -1645318, -2193630, -2741942?\n\"Answer: -548312*j - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**4\/12 - 3*z - 1. Let j(x) be the first derivative of q(x). Factor j(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -335, -655, -993, -1355, -1747, -2175, -2645?\n\"Answer: -r**3 - 3*r**2 - 304*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 1:03 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 2:38 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15449454 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + -44 + 111 + -15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8165.1, 3, 0.1, -0.3, 1\/6 in decreasing order.\nAnswer: 3, 1\/6, 0.1, -0.3, -8165.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-5)\/g)\/g*g**(2\/13))\/(g**(-7)*g**(2\/9)*g))\/(g**(-6)\/(((g\/((g**7*g)\/g))\/g)\/g))**(-7\/8) assuming g is positive.\nAnswer: g**(319\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12276, -12274, -12272, -12270, -12268, -12266?\nAnswer: -12264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-18) + 89\/3?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/9 - 232*q\/9 + 6728\/9 = 0. What is q?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 3. Let t be l(0). Let j = 1.8 + -2. What is the closest to j in t, 0.04, 4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3983943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 11*c**3 + 583*c**2 + 100*c + 5311. What is y(-53)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (1 - 3 - (-6 + 3 + 6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*q + 3*q + 34, -144 = -5*q - w. Suppose -5*k - 5*m - 25 = 0, 5*k + q + 1 = -4*m. Suppose -38*a = -35*a + 33. Is a greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmmb when four letters picked without replacement from {b: 5, v: 4, m: 5}?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1632*z**3 + 10618*z**2 + z + 80239800.\nAnswer: 4896*z**2 + 21236*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 8 = -4*c - 2*n, 3*c = 2*n + 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 + 51 - (1 - -14)) + 159 + -4 + -5?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 - -153. List the prime factors of b.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 3 - (1 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 14?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9886.99 + 9885. Which is the second smallest value? (a) -5 (b) 6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 227*r + 686. Let k be j(-3). Solve g - 3*b + 7 = -3*g, -k*b + 6 = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*y**3 - 389*j**3 + 153*j**2 + j*y**3 wrt j?\nAnswer: -6*y**3 - 2334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-16) + 297\/72. Suppose -3*j - 3 = -l*j. Factor 4*d - 4*d**4 - 8*d + 8*d**j + 4*d.\nAnswer: -4*d**3*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzl when three letters picked without replacement from {x: 2, k: 1, l: 1, z: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**4 - 401*i**3\/3 + 632*i**2 - 291*i + 616. What is f in w(f) = 0?\nAnswer: 1\/4, 3, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**3*y + 6*k**3 - 838*k**2 + 13*k*y + 11*k - y wrt k.\nAnswer: 24*k*y + 36*k - 1676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.04 - 0.76. Let v = 77.1 - 78. Let n = v - a. Is -2\/13 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2600 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 3)*2\/2. Suppose 0 = x + a*x - 18. What is the highest common factor of 4 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -796?\nAnswer: -798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 242166b9?\nAnswer: 242166b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (436*k - 510*k - 628*k)*(3 + 2 - 4).\nAnswer: -702*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*3*-14 - -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 651, 635, 619, 603, 587, 571?\n\"Answer: -16*d + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.7296 greater than -20.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 1\/6*g**3 + 1\/60*g**5 + 0 + 0*g + 1\/12*g**4 - 4*g**2. What is x in w(x) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 755766 and 48279.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - 1255\/(-35) - (-1 + 26\/14). What is the highest common divisor of k and 7098?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v - 2*v)*(6*v**2 + 0*v**2 - v**2).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-3)\/69 - 81344\/(-713). What is the greatest common divisor of m and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 5*i**2 - i**2 - 32*i**2 - 5*i**2 + i**2 + (-i - 4*i + 4*i)*(-2*i - i + 4*i))*(i**3 - 3*i**3 + 0*i**3).\nAnswer: 70*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-31)\/(-62))\/(-2 - -92). Let w(m) be the third derivative of -b*m**5 + 9*m**2 - 1\/36*m**4 + 0 + 0*m - 1\/18*m**3. Factor w(a).\nAnswer: -(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24559 - -25118. Solve 7*a = -m + 587 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjpjppppprhpph. Give prob of sequence jh.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) 0.4 (b) 13818 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 133*v + 169.\nAnswer: 133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/26*(-28)\/(-21)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 443\/19223 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -55.521 from 2115285.\nAnswer: 2115340.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6399\/442 - 235\/17. Calculate the common denominator of q and -15\/2338.\nAnswer: 30394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -16*j + 80. Let h(o) be the second derivative of -1\/20*o**j - 3\/2*o**2 - 2*o + 0 + 1\/3*o**3 - 1\/4*o**4. What is h(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(2\/((-24)\/3)). Suppose -w = 4*q - 3, 0*w = -3*w + p*q + 9. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58598385 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: Let n = 0.9 + -1.4. Let d = n - 0.5. Which is smaller: -0.5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28510*o = 28582*o + 1440 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-4 - (19 + 4 + -7 - (47 + -50))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -66, -119, -172, -225?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 23. Suppose 84 = -11*u + 4*u. Let n(z) = z**3 + 11*z**2 - 17*z - 52. Calculate the lowest common multiple of c and n(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2935, -2936, -2935, -2932, -2927?\n\"Answer: d**2 - 4*d - 2932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16433 - -14.2.\nAnswer: -16418.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 575 = 503 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -32*h**2 - 140*h - 279. What is n(-2)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2020 (base 5) to base 13\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 10:04 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*a + 4 + 32*a - 19*a as n + w*a and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 5 = -23*c. Let z be (c\/(-3))\/(13\/(-78)). Suppose 0*f + 1\/2*f**3 + 1\/4*f**z + 1\/4*f**4 + 0 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*c = 15 + 7, -3*c = 4*b - 20. Factor -293*l**3 - 11*l - 9*l + 160*l**b + 18*l**3.\nAnswer: -5*l*(5*l - 2)*(11*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/910*-2)\/(((-2)\/(-8))\/(195\/156)).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42.1 - -42. What is the nearest to -1 in 0, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -832.5 - -838.739. Round s to 1 dp.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6 = g. Let o be g\/(-1 + -1 + -2). Do o and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70745800 to the power of 1\/2, to the nearest integer?\nAnswer: 8411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 1)*(-2*c - 2*c + 3*c) + c - 2 + 2)*(3*c - 4*c - c - 2*c + c + 2*c + (2*c + c - 2*c)*(2 - 3 - 1) + c + 2 - 2 + 1 - 1 + 3*c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 884198 or 884229?\nAnswer: 884198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -1\/90*h**5 + 2*h**2 - 1\/105*h**7 + 0*h + 0*h**3 + 0*h**4 - 1\/60*h**6 - 1\/504*h**8 + 0. Solve j(l) = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 + 6*n. Let j(i) = -11*i**2 + 13*i. Let k(l) = 13*a(l) - 6*j(l). Let s(t) be the second derivative of -t**4\/2 - 3*t. Determine k(s(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 452 - 452. Suppose -2*i - 5*g + 1409 = -v*g, 3*g = -i + 705. List the prime factors of i.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 1\/3, -9 in increasing order.\nAnswer: -9, -2, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1430*h + 692 wrt h?\nAnswer: 1430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -17, 20, 1, -15, -1 in decreasing order.\nAnswer: 20, 1, -1, -6, -15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7904.69 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3261 * 185\nAnswer: 603285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26462, 26460, 26460, 26462, 26466, 26472?\n\"Answer: t**2 - 5*t + 26466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1410*c + 8 = 1411*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5858*a - 896278. What is f(153)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c - 64. Give o(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 16*g**2 - 46*g - 79. Give t(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26bf (base 16) to base 15\nAnswer: -2e14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**(-1\/8)\/j)\/j)*j*j**6)\/(j\/(j*(j*j*j**(-5))\/j*j*j*j)*j*j*j**4\/j*j*j)*(j**(-1\/9)\/j**(-1\/15))**(-2\/91) assuming j is positive.\nAnswer: j**(69647\/32760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 2*a**2 - 35*a + 12. What is s(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, o: 2, w: 4, v: 3}. Give prob of sequence owfw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 102*t**2 - 104*t - 101. Let l be p(-103). Solve 4*z - 11 = -3*b, 5*b + 1 = 4*z - l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58153466 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(700)*2 - sqrt(700))**2 + sqrt(700)*-1 + -4 - ((sqrt(700)*-1*6 - sqrt(700)) + -5)**2.\nAnswer: -33613 - 790*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + 6*a + 8. Let s(v) = -2*v**2 + 13. Let b be s(-3). Let g(x) = -x**3 + 5*x + 7. Give b*n(d) + 6*g(d).\nAnswer: 4*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311178 divided by -7409.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y = -4*f + 100, -24 = 4*y + 4*f - 52 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, e: 2, c: 1, z: 1, q: 4}. What is prob of picking 1 n and 1 q?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 2*w + 3. Let i be j(-3). Suppose 2*n - 4*n + 154 = 0. Suppose m + i - n = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824846355?\nAnswer: 3, 5, 23, 421, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 2*c + 6*c)*(-1 + 0 - 7) - c + 0*c - c + (3 - 2 - 2)*(c + 0*c + c).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 447 and 1639?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let q be u(-16). Let a = q - 14. Solve -y - 10 = 4*g, -3*g + y - 2 - a = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2586024 divided by 46179\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14f + -3?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 1:04 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20221011 (base 3) to base 2\nAnswer: -1001110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 14*a - 5*a + 0 - 8*a - 1. Let i be z(2). Let n(h) = -18*h**2. Calculate n(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*g. Let s(p) = 17*p**2 - p + 3. Let t be s(1). Solve t = v + 5*q - q, -v + 2*q - 11 = g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14566733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/1590)\/(59\/(7375\/50))\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y - 3*o + 9, 16 = 4*y + 4*o. Let c be (-64)\/(-20) - 1\/5. Suppose c*a = 6*a - 6. Solve a*f + 9 - y = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 13. Let d be i(10). Suppose -w + u + 0*u = -11, -2*w = 3*u + 3. Solve p - w = d*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 1072?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 57. Let l = c + -19. Let k = -25.0000029 + l. What is k rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 9*m**2 + 6*m + 11. Let p be h(8). Let r = 22 + p. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-6) + (-93)\/(-18). Suppose x = -0 + i. Suppose 3 - 8 = -x*y. Calculate the highest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 + 0*w**3 + 4*w**3 + (-1258*w**2 - 872*w**2 - 488*w**2)*(w + 4*w - 4*w))*(-3*w + 0*w + 2*w).\nAnswer: 2617*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y**3 - 2*y**2 + 2. Let k(t) = -7*t**3 + 972*t**2 - 380*t - 12. Let c(m) = k(m) + 6*w(m). Let c(x) = 0. Calculate x.\nAnswer: 0, 2\/5, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = c - 12. Let k = 3 - 3. Let q = k + 0. Solve -c*s - 3 = q, -s + 5 = 4*t + 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 41?\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -27\/5*v**5 + 0*v - 14*v**2 + 0*v**4 + 0*v**3 + 17. Find the second derivative of k(u) wrt u.\nAnswer: -324*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**2 - 5*p - 5. Let f(w) = -7*w - 39. Let r be f(-5). List the prime factors of a(r).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/8*(-56)\/21. Let h = -8 - i. Let l(o) = -o + 7. What is l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -717, -1419, -2049, -2607, -3093, -3507?\n\"Answer: 36*q**2 - 810*q + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 109092*h + 218168.\nAnswer: 4*(h + 2)*(h + 27271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15241 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 222.2 (b) 0 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611998319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 948, 1912, 2876?\nAnswer: 3840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*x. Suppose 0 = -2*a - x*a + 8. Solve 17 + 0 = 3*j + a*f, -3*f = 5*j - 21 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7872 + 320*u + 7872)*(2*u**3 - u + u) to s*u**3 + a + v*u**2 + k*u**4 + n*u and give k.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(0 + u + 0) + 24*u + 9*u - 8*u.\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**31*o)**26\/(o**17*o**(-5)))**(-1\/13) assuming o is positive.\nAnswer: o**(-820\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*x + 36 = -119*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686733 is divided by 1004.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 - -4?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 6*j + 12. Let l be p(-6). Suppose 4*b - 4*x = 36, -4*x = l*b - 11*b + 11. Solve -i - 2*q = 4, -b*q - 10 = i - 0*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1118 and 9\/104.\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxgababaxgxpvbpppxxa. What is prob of picking 2 g and 1 v?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -455\/4 + 114. Let o = 13.82 - -0.18. Do j and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 0*m**2 + 0*m**3 + 1\/2*m**4 + 5 + m. Let u(h) be the first derivative of v(h). Let w(y) = -y**2. What is u(w(x))?\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 4*i + 3*i. Solve -o + v + 6 = 0, -4*o + 0*v + 5*v + i = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - f**3 - f**3 + (-2*f - f + 2*f)*(270*f**2 - 618*f**2 + 476*f**2) + 3*f**3 - 3*f**3 - 4*f**3 + (f - f - f)*(-2*f**2 + 4 - 4).\nAnswer: -133*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from wflwgalg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.0147, 5\/2, -1, 2, 4, -20 in decreasing order.\nAnswer: 4, 5\/2, 2, 1, 0.0147, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**12*v*(v\/(v\/v**(2\/19))*v)\/v)**(5\/6) assuming v is positive.\nAnswer: v**(670\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16535*u - 3*u**2 + 5502*u + 5341*u + 5506*u.\nAnswer: -3*u**2 - 186*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**5\/60 + k**4\/24 - k**3\/3 + 3*k. Let n(l) be the second derivative of a(l). What is the first derivative of n(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + ((-3)\/(-1))\/1. Suppose -m*d + 18 = 3. Suppose b + d - 2 = 0. Let u(t) = -4*t**3 + t**2. What is u(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -20. Let k = 13.1 + n. Is k <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-8))\/(18\/(-36) - (-48)\/64)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223045317, 446090634, 669135951, 892181268?\nAnswer: 1115226585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.031 - 4.969. What is the closest to -0.1 in -4, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -596 - -1093. Suppose 19*x - 898 = 367*i - 371*i, i = -2*x + 87. What is the remainder when t is divided by x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v = 6. Let m be (-119)\/(-13) - v\/39. Suppose 4*d - 35 = -3*d. Solve -3*u + d*y = 20, -4*y + m*y - 20 = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**24*(l**(10\/13)*l)\/l*(l*l**(-3\/11))\/(l**(-5)*l) assuming l is positive.\nAnswer: l**(4218\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-7))\/(6\/(-21)). Let y(o) be the first derivative of 0*o + 1\/4*o**4 + 0*o**3 - o**x + 2. Find the second derivative of y(j) wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005245284 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.77 + 33.23. What is the nearest to 1 in m, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -20*k**2. Let h(d) = -3*d - 1. Let x(r) = 187*r + 68. Let o(y) = 68*h(y) + x(y). Calculate w(o(m)).\nAnswer: -5780*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 450652, 1 in decreasing order.\nAnswer: 450652, 13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 8*s**3 + s + 4*s**2 + 13 - 17. Let o be u(-3). Let i = o + 311. What is the highest common factor of i and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 minus -1447894583755?\nAnswer: 1447894583639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3360 = 15660*o - 15548*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkk. Give prob of sequence ke.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2\/3*p**2 - 4\/9*p**3 + 0 + 4\/9*p = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3871 is divided by 333?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-3)\/(-1))*(1 - -5). Let q be 26*(-1 - 3\/s). Solve 5*c = 4*m - q + 54, 0 = -3*m - 5*c + 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) - (sqrt(300) - sqrt(300)*-3)))\/sqrt(12))\/(sqrt(60)\/(sqrt(12) + sqrt(60)\/sqrt(5))).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120442 divided by -49.\nAnswer: -2458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 5, 0, 352, -3 in ascending order.\nAnswer: -3, 0, 5, 35, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 40 = 5*m, 7*q + 4 = 415*m - 410*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**2 - 11*s - 11. Let o(r) = 4*r**2 - 6*r - 6. Calculate 6*d(x) - 11*o(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 11*l**2 + 25*l - 14. Determine o(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 1. Let p be t(2). Find the common denominator of p - (137\/(-22) - 0) and -57\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -178912000 to the nearest 1000000.\nAnswer: -179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 137*v**2 - 2444 wrt v?\nAnswer: 274*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*l - l. List the prime factors of (-4)\/l + (-51)\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -1010101000101011?\nAnswer: -1010101000100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 + (-14)\/20. Let a = -0.060544 - -9.060544. What is the closest to 2 in 0, a, l, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 380, 570?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141233535 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4028, -7214, -9658, -11360, -12320, -12538?\n\"Answer: 371*o**2 - 4299*o - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2723751906 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*j + 13 + 73 = 0. Let l(n) = -3*n - 66 + 20 - n**j + 12 + 19 + 24. Give l(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 500 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20443552 is divided by 136.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28528, -28526, -28524, -28522, -28520?\n\"Answer: 2*c - 28530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -15*t - 22 + 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**4 + 2*n**4 + 3*n**4 - 3 + (-2 + 2 + 2)*(-3*n**4 + n - n) + 2*n**3 - 2*n**3 + 2*n**4 + 6*n**4 - 3*n**4 - 2*n**4.\nAnswer: -4*n**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420 = -4*k + 3*b, 2*b + 212 = -0*k + 2*k. Let p = 104 - k. Suppose 3\/2 + 1\/2*l + 1\/6*l**3 - 5\/6*l**p = 0. What is l?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 2:02 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-4)*-1*(-3)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/7)\/((-1)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -156227204, -312454406, -468681608?\n\"Answer: -156227202*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51\/14 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0937624 litres?\nAnswer: 93.7624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 414311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -4, 2, 5, 1, 4149 in descending order.\nAnswer: 4149, 5, 2, 1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/63)\/(8\/168). Solve 4*t - 1 = -2*f + 19, -q = -f + t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/21*444\/(-296). Let w = -0.13 + 0.11. Let l = -0.18 + w. What is the second biggest value in 4, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21220 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-8)\/12)\/6\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -52. Let z = -103 - -102.84. What is the closest to z in -0.5, h, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (4 + (-10)\/4) - 21\/(-6). Solve -4*h - l*r = -16, -5*h + 4*r = -27 + 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1, -97, -3, 431\/3 in descending order.\nAnswer: 431\/3, -2\/7, -1, -3, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, -88, -168?\n\"Answer: -80*l + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.06 and -0.1.\nAnswer: 0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 18. Let h be d(-4). Suppose -604 - 628 = -h*v. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 426, -0.1085, 33?\nAnswer: -0.1085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -814, -1658, -2502, -3346, -4190, -5034?\n\"Answer: -844*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/15)\/(84\/126)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -1. Let g(r) = r**2 - 3*r - 1. List the prime factors of g(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 78. Let p(v) = -4*v - 156. Give -4*p(u) - 9*x(u).\nAnswer: -2*u - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0.3047, -9\/65 in descending order.\nAnswer: 1, 0.3047, -9\/65, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/34, 0.2, -1674\/7, -9 in descending order.\nAnswer: 0.2, 5\/34, -9, -1674\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3, -l + i = 2*i - 6. Put -2, l, 9, 3 in ascending order.\nAnswer: -2, 3, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 = -4*r + 14, 2*k - 22 = -4*r. Let d be ((-17)\/(-34))\/((-2)\/(-12)) + k. Solve 0 = -d*s - 16 - 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 + 258*i + 28*i**2 + 9 - 126*i - 131*i to f*i**2 + p*i**3 + a*i + h and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 7. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/55 and -9\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 + -0.75. Let s = -0.64 - b. What is the second smallest value in -5, -0.5, s, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560568451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -35, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40813736.\nAnswer: 2, 17, 127, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1845\/11480 - 4\/14.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 e when three letters picked without replacement from {k: 1, y: 1, e: 2, o: 2, q: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + 0 + sqrt(63))*5.\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 632*m**3 + 2*m**2 - 16*m - 34916 wrt m?\nAnswer: 1896*m**2 + 4*m - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -193*x + 15. Let o(p) = -384*p + 25. Calculate -6*o(g) + 10*q(g).\nAnswer: 374*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-1 + -1) - 30.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - -4. Let t(p) = 24*p**3 + 2*p**2 + 4*p - 1. Let g be t(3). Suppose g = 29*b - 309. Calculate the remainder when b is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**3 + 2*h. Let b(x) = -6*x**3 - 35*x - 18*x**3 + 25*x. Determine -14*a(p) - 3*b(p).\nAnswer: 2*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7375530 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 9. Let y be d(-8). Let x = 83 - 31. Let f = 52.4 - x. Put f, -5, -2\/7, y in ascending order.\nAnswer: -5, y, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 9*x + 16. Let g = 31 + -26. List the prime factors of w(g).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -63, 48, 267, 630, 1173, 1932?\nAnswer: 2943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2. Let y(b) be the third derivative of -b**4\/24 + b**2 + 60*b. Determine y(l(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7361 + -13392. Let g = -2372 - q. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 6223*g = 6227*g + 26, 5*g = -4*h - 19 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k = -15*l - 18*k + 117, 2*k - 8 = -2*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -133 + 24 + 61. What is the closest to -1\/2 in 0.8, -3.4, k?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 36 = v. Suppose -v = -4*g + 26. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/12)\/(15780626\/2254376 - 7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/1584 and -79\/960.\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Let r = -0.0482 + 62.8482. Let p = r - 63. What is the smallest value in -2\/11, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21728 and 572397.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 528.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + 0 + 0)*(0*r - 3*r + 2*r) - 4*r**2 + 4*r**2 + 2*r**2 + (3*r + 8*r - 5*r)*(2*r + r - 2*r) to the form y*r**2 + f + u*r and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.082 - 0.588. Let x = k - 0.33. Which is the fourth smallest value? (a) 1\/2 (b) 5 (c) -2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -68*l. Let k(a) be the second derivative of -101*a**4\/12 - 5753*a. Give z(k(u)).\nAnswer: 6868*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*h - h + 6, 44 = 4*o + 5*h. Suppose -2*a + q = -o, 4*q + 0*q - 41 = -5*a. Suppose 6*i - a*i = 15. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 9:35 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -5, 271 in descending order.\nAnswer: 271, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1591909 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -58 + 14. Let q(v) = -u*v + v**2 - 3 + 9*v + 5*v. Give q(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 27054*k + 406002. What is y(15)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + 3 + (sqrt(539) + 1 + -2)*-1 + 4)**2.\nAnswer: -28*sqrt(11) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 8 + 15 + 138*g - 10*g + 0.\nAnswer: 128*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*y + 1419, -2*y - 31*h = -35*h - 582. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 15*i - 2. Let d = -103 + 105. Give k(d).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7351165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24358304 (base 9) in base 6?\nAnswer: 1103120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -57.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 639849\/26 - 24613. Find the common denominator of -50\/39 and o.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/5*(-13)\/(182\/735). Let u be ((-5)\/((-175)\/b))\/((-6)\/(-20)). What is the smallest value in -2, 1\/2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41832 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0062303 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171038348 and 860.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 4*x + 4, -22 = 5938*b - 5934*b + 7*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*u + 14. Let c be (-10)\/u + (1 - 2). Let p = -37 - -35. Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p + 101789 = 2475548. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38118379 by -3.\nAnswer: -38118379\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2. Let i(m) = 3014*m. Give i(w(j)).\nAnswer: -9042*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert cabae5 (base 15) to base 3.\nAnswer: 200011200202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -16 - 56. Suppose 0*f = -3*f + b. Suppose 0 = 4*z - 8*z + 12. Put f, z, -5 in descending order.\nAnswer: f, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -4. Let f = i + 5.4. Let d = f + -3.4. Which is the nearest to -3? (a) -4 (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zyuxuztueuu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-9))\/(8\/24). Let u = -6 + 9. What is the third biggest value in -0.1, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891)*3 - sqrt(891)) + -1 + -2 + sqrt(1100) + 2)**2*-6.\nAnswer: -51750 + 336*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/19))\/b**(-3))\/(b**(1\/13)*b**(4\/9)) assuming b is positive.\nAnswer: b**(7499\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 18241 = -5*a + 18114, 0 = 4*a - 13*w - 196 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-304)*-124 + -18?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 - 6*o**2 - o - 6. Let t(m) = 5*m**3 - 7*m**2 - m - 7. Let l(c) = -7*b(c) + 6*t(c). What is the second derivative of l(r) wrt r?\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6813482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -59*q**2. Let d(o) = -3144*o. Determine d(t(x)).\nAnswer: 185496*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**1)\/h)\/h)**(-39))**(-1\/20)\/(h**(3\/7)\/(h**(-1\/6)*h)*(h**0)**36) assuming h is positive.\nAnswer: h**(17\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89.926 + 90. Let w = 0.026 + o. Sort -4, -2\/3, w, -5\/4.\nAnswer: -4, -5\/4, -2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 - -152. Let a(z) = -z**2 + 13*z + 50. Let p be a(n). Let r(v) = v**2 + 2*v - 3. Determine r(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k - 4302 = -5263 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -4137325.\nAnswer: -4137325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/3 - -5) + (3 - 3). Suppose 6*b + 2*y - 141 = i*b, 4*y = -12. Let t = 53 - b. What is the remainder when 16 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 5*q - 2*o - 304, 5*o = -3*q + 356. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 249857935 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -21. Let m = -8 - n. Let x be 7\/8 + 10\/(-80)*-1. Sort x, m, 2 in decreasing order.\nAnswer: 2, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120001011120 - -1?\nAnswer: 1120001011121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10233213311331 - -10?\nAnswer: 10233213312001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26831137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 12, 5, 0.5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -15510 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcc when three letters picked without replacement from {c: 3, g: 3, q: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/2, -648, -0.3 in descending order.\nAnswer: -0.3, -15\/2, -648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-1 + -1)) + -35 + 40.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1872 and 285123280.\nAnswer: 2566109520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.7 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 6*k = -30. Let f = k - 12. Is 6 a factor of ((-105)\/(-10))\/(f\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 - 107. What is the least common multiple of v and 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (-4 - -14 - (7 + -8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -1 + 2)\/1. Suppose f = 3*t + t - 80. What is the least common multiple of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 20, 51, 114, 221, 384, 615, 926?\n\"Answer: 2*o**3 - 2*o**2 + 3*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = 4*h. Let k(n) = n**3 - 2*n**2 - 2. Let d(a) = -3*a**3 + 11 - 9*a**2 - 3*a**3 + 20*a**2. Give h*d(m) + 33*k(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*w**2)*(w**2 - 14*w + 2*w**2 + 10*w) in the form y*w**4 + r*w**3 + b + p*w + x*w**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5084 * -0.1\nAnswer: -508.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-5500)*22*10\/(-44).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**2 + 55*s**4 + 3*s**2 - 59*s**4 + 14*s wrt s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1041 (base 5) to base 10.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-115)\/(-25) - 6\/(-15). Suppose 0 = 4*z - 12, z + 6 = -26*f + 29*f. Solve 5 = 5*o - j*g, -5*o + 30 = -f*o + 5*g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 4, n: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n + 9*n + 10*n**2 - 4*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d**3 - 63*d**2 + 129*d - 835. What is n(7)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5 + 2*o**4 - 6*o**3 - 2*o**2 + 4*o.\nAnswer: 2*o*(o - 1)**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72160426, -144320843, -216481260, -288641677, -360802094, -432962511?\nAnswer: -505122928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2206 - 2191. Which is the biggest value? (a) 1\/6 (b) g (c) -0.1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -495, 335 in descending order.\nAnswer: 335, 0, -1, -495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 66\/63)*-6. What is the closest to y in 4, 4\/7, -0.01?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 91?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(504))\/sqrt(8).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + y + 3 = -4, -y = 3*n + 13. Let a = n + 17. Let q = 25 + -18. What is the lowest common multiple of a and q?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 + 4305*n = 0. Calculate n.\nAnswer: 0, 861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*a = -5*b - 11, -2*a = -2*b - 6. Suppose 70 = 7*h - b*h. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 3. Suppose 0*z + 4*z - i = 23, 26 = 4*z + 2*i. Let g(s) = 2*s**3 + 5*s + 3*s**3 + 3*s**2 - z*s**3. Determine g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 32*r + 249. Determine v(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2937661 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - f**2 - 3*f + 2. Let o be d(2). Let w = -11 - o. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*6*(-20)\/6. List the prime factors of (-1324)\/j + 24\/(-60).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 24 = 5*a. Suppose -12 = -3*d + 6*o - 4*o, -8 = -2*d + a*o. Suppose -x + 8 = -3*x, -2*i = -d*x - 50. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l = -23*l. Suppose 3*n + l*n = 3. Let p be 33\/9 + n\/3. Solve p*j + 11 + 5 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 43 + 39 - 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*t + 3 = 0, u + t = -3*t - 21. Let x = 11 + u. Factor -x*v**2 + 3*v**3 + 2*v**2 - 3*v + 0*v**3.\nAnswer: 3*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 19?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18703087*j**3 + 3691297*j - 1 wrt j.\nAnswer: 112218522*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 169.94880721 + -0.11.\nAnswer: 169.83880721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 508.4212 - 509. Let y = -0.0422 + l. Round y to two decimal places.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 + 2*c. Suppose 4*f + 0*f = 152. Suppose 3*o + 35 = f. Let b be 2*o + -4 + (-6 - -10). Determine j(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.97, 282, -3, 1?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17077 + 17085. Solve 2*p + 13*h = d*h - 13, 9 = 3*p - 2*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.6 - -6. Let h = 90.3 + -86.3. Sort h, -1\/4, -2\/9, s in increasing order.\nAnswer: s, -1\/4, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*r - 11. Let l = 6 - 10. Is l less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + -61 + (5 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(108)\/sqrt(2))\/sqrt(3) - sqrt(20)\/(sqrt(160)*2)*2)**2 + -2.\nAnswer: 2193\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 33386*s - 270. Let m be p(-5). What is m rounded to the nearest 1000?\nAnswer: -167000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-2) - -3)\/((-2)\/(-16)). Suppose -35*c + 2445 = -j*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 - -68. Suppose -j*c = -10*c + 12. Suppose 0 = -c*a + 3*a + 5*w + 22, -3*a - 3*w - 24 = 0. Put -5, a, 2, -9 in decreasing order.\nAnswer: 2, a, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21063 divided by 3.\nAnswer: -7021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 5*j = 2*t - 4, t + j = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93035, -93025, -93015, -93005?\nAnswer: -92995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = 2. Let j(d) = d + 1. Let r be j(y). Let o be (r + -3)\/((-2)\/2). Let z(q) = 5*q**2. Calculate z(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 66 = -u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(13)*1)**2*1 - (0 + sqrt(1872))**2*-1.\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) 3.83 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/154 + (-548)\/22*-2. Is 49 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -18?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29224339 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19026 and 8316?\nAnswer: 1255716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + 0 - 1682*o**3 - 1812*o**3 + 2986*o**3 + 1 in the form w*o**3 + f*o**2 + n*o + g and give w.\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 191, 373, 555, 737?\n\"Answer: 182*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8815792.6 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**48*(t**(2\/5))**32*((t**(-8)*t)\/t)\/t**5*(t*t\/(t\/(t**(7\/2)\/t))*t)\/(t**(7\/5)*t) assuming t is positive.\nAnswer: t**(-461\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 89. Suppose -9*j = -11*j - i. What is the remainder when 31 is divided by (-2)\/j + 2628\/156?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 9*g**2 + 13*g + 20. Suppose -2*i - 12 - 8 = 0. Let z be v(i). Does 12 divide 290\/25 + (-4)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5.07, -2, 148, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 5 = -3*b. Suppose 5*p = 5*l + 2 + 8, 0 = -5*p + 15. Put -2, b, l, 3 in decreasing order.\nAnswer: b, 3, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -18. Suppose -s = -3*s + 26. Calculate the remainder when 34 + ((-3)\/q - -6) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 23*w - 58. Let j(y) = 3*y**2 - 34*y - 87. Let f(g) = -5*j(g) + 7*t(g). Let k be 525\/2275 - (768\/(-52) - -3). Calculate f(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 19 = 5. Solve 3*l = f*b - 19, -4*b + 20 = -2*l - 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13d (base 15) to base 12\nAnswer: 1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 greater than -295.756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*b**2 + 28*b**2 + 27*b**2 - 101*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 610 in 4, 0.1, -4514\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -2331\nAnswer: -1\/777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*m + 1224 = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1172.6888 to 0 dps.\nAnswer: -1173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1047, -2, -23\/6 in descending order.\nAnswer: 1047, -2, -23\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*r + 3*z + 7 = 0, -5*z - 35 = -3*r. Suppose 4*s - 75 - r = 0. Let n = -228 - -235. Calculate the remainder when s is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 532 + -20747\/39. Is 1 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7198, 7235, 7290, 7363, 7454?\n\"Answer: 9*p**2 + 10*p + 7179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.38532, 2, -107 in ascending order.\nAnswer: -107, 0.38532, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -21\/170 (b) -450 (c) 1\/4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 4*o - 1476. Let v = o + 1147. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -7 - 1)*(-5)\/2390. Is 1 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1700) + -1 + sqrt(1700) - sqrt(1700)) + sqrt(1700) + -1)**2 - 4*(-2*sqrt(2448) + -2)**2.\nAnswer: -864*sqrt(17) + 1640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2*h - 4 + 6*h)*(2 + 2 - 3)*((-2 + 1 + 0)*(1 - 5 + 3) + 1 + 0 - 3).\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13597 + -8682. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 - v + v + 0*v**4 + 2*v**4 - v**4 + (4 + 4 - 6)*(2*v**4 - 2*v**4 + 2*v**4) + 3*v**4 + 5*v**4 - 4*v**4.\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/270225 or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 6?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + (36 + 10 - 24) + -27.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 314124.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 451548 and 9176?\nAnswer: 27995976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3610 (base 11) to base 5\nAnswer: 122410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/(-72) - 86\/(-16). Solve -4*p = s - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 1154 = 404. What is the greatest common factor of 175 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34597 + -21479. Let x = f + -345. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12420656*f - 9780228 wrt f?\nAnswer: -12420656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -3\/7, -5, 4\/1525?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 12 (b) -0.5 (c) -0.3 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/6312 and 137\/48.\nAnswer: 12624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -684 - -688. Which is the third biggest value? (a) 13 (b) h (c) -9 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*i + 13*i = -148, -3*g + 5*i - 2 - 14 - 13 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -129*r + 88*r + 5396461. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189478 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 25290.46s?\nAnswer: 25290460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.3 - 1.3. Let n = -17.3 + 17.2523. Let i = n + 0.0477. Sort 1, z, i.\nAnswer: i, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 495 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 18 = 5*m, 2*y - m + 18 = -5*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.02 - 0.98. Suppose -6*v + 6 = -4*v. Suppose 0 - v = i. Which is the nearest to 2? (a) -0.3 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f + 6736 = -878*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7560045 litres to millilitres.\nAnswer: 756.0045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 = -5. Suppose 0*h + 5*h = -x, -2*m + h + 2 = 0. Suppose m = d - 5*p - 4 - 5, 5*p = -5. Let k(f) = f - 8. What is k(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 22\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*t - 33616, -5*f = -t - 1791 + 10204. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*r - 13*r**2 - 419*r**2 - 6*r - 11*r to k*r + f + p*r**2 and give p.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93\/(-30))\/((-346)\/(-3460)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30\/13? (a) -2 (b) -15 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5\/2*b**4 - 555\/2*b**3 - 1095\/2*b**2 + 0 - 545\/2*b = 0. What is b?\nAnswer: -109, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 2. Suppose 4*q - 5*p + 17 = 0, -4*p + 5 = -15. Let x be h(q). Sort x, -3, 3 in descending order.\nAnswer: 3, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 693412.144 + 8051.9.\nAnswer: 701464.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 (base 6) in base 13?\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -1223 (c) -3 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y + 1. Let n(a) = -2*a. Let l(r) = r**2 + 10*r - 4. Let u be l(-11). What is u*n(d) - 3*p(d)?\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3*(-12)\/(-45))\/(42\/10)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 35 + 29 = 6*a, 0 = -2*a + a - 7*t - 20 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*s**3 - 303*s**3 + 178*s**3.\nAnswer: 35*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*h - 5 = 0. Let l = 7 + -3. Solve n - 27 = h*q, -4*n + 33 = -q - l*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10 + 0 = 0. Suppose -8 = -4*h + 3*b, b + b + 17 = a*h. Solve -4*q + 8 = -2*i, -h*i - 2*q + 7*q - 15 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 0 + sqrt(343) - (3 + -2*sqrt(343)))*-3 - (2*sqrt(343)*2 - (-3 + sqrt(343) + 1)))**2.\nAnswer: -672*sqrt(7) + 49408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhahhhhah. What is prob of sequence hah?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v + 5*v - v)*(0*v + 3*v - 5*v) + 3*v**2 + 0*v**2 + 5*v**2 as x*v + l + o*v**2 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1626*x**2 + x - 211?\nAnswer: 3252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10392 - 6*r**3 + 10392.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144 + 343. Let m = -105 + i. What is the remainder when m is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75559, -144859, -214157, -283453, -352747, -422039, -491329?\nAnswer: -560617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*x - 4 - 2 = 3*x, 26*s + 4*x = 3*x - 46 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.801 * 1\nAnswer: 0.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**3 + 167*r**2 + 72*r - 276. Is b(54) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 - 8*v - 5. Let i be g(-3). Suppose 33*l - 53 = l + 43. Sort -2, i, l in ascending order.\nAnswer: i, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -208\/7. Let d = 142 + -140. Sort 5, u, d.\nAnswer: u, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 + 74. Let z = g + -39. Let x = z - -68. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1338 + -26793\/20. Let a = -5208853\/22 - -239776. Let v = 3009 - a. Find the common denominator of v and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(55) + sqrt(165)\/sqrt(3)*-4)\/(sqrt(11) - (sqrt(11) - sqrt(22)\/sqrt(18))).\nAnswer: -9*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*y - 202 = -52 + 237. Let g be (-3 - -1)*(-10)\/4. Sort g, y, 2, -17.\nAnswer: -17, 2, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -3\/2, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = -3*a + 10*z - 57, -4*a - 66 = 2*z. What are the prime factors of 7028\/a*(1\/2)\/(-1)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 3*u + 3. Suppose 3*g + 7 = -2*r, -1 = -2*g + 2*r - 9. Let l(q) = 16885*q**2 - 8452*q**2 - 8441*q**2 + 20*q - 20. Give g*l(m) - 20*c(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5474 times -78.9\nAnswer: 431898.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 181702.4mg?\nAnswer: 0.1817024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 86 = 2*d. Let b = -30 - d. Calculate the remainder when b is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17518*p + 388*p + 13508*p + 2613*p.\nAnswer: 34027*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**3 + 168*r**2 - 4069*r - 98. Give q(19).\nAnswer: 3816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(-4\/11)*(u**(-6)\/u)\/u**(1\/6) assuming u is positive.\nAnswer: u**(-425\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 2*q**3\/3 - 2. Let m(w) = 13*w. What is y(m(r))?\nAnswer: 338*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.42 - 0.02. Let i = -0.091 + 1.691. Let z = n + i. Which is the closest to -1? (a) z (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Let k = -134 - -137. Which is the second smallest value? (a) o (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21420340 (base 5) in base 11?\nAnswer: 117597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (59 + 10 + -34)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -3. Let o = -7 + q. Let -4*b**4 + o*b**3 + 12*b + 0*b**2 - 14*b + 4*b**2 = 0. Calculate b.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 749386777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 greater than 69697\/3767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/9280 and -5\/29696?\nAnswer: 148480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 14) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2079357868?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 5*h - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.19 - -0.19. Let m = 3\/517 - -1025\/1551. Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79.9828 - 80. Round w to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 divided by -5?\nAnswer: -639\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*k - 1. Let r(v) be the first derivative of 2*v**3 + v**2 + 7. Is 11 a factor of r(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 - -64. Let x = 4.6 - 5. What is the closest to -1 in x, -3, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 + 1.3. Let g = -214 + 210.02. Let l = -4 - g. Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 944, 8024, 27238, 64652, 126332, 218344, 346754?\nAnswer: 517628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k - 1. Suppose 0 = -4*r + 2*y + 8, 0*y + 2*y = -r + 7. Suppose 0 = r*l + 2*l + 5. Does 8 divide p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42716.5441 + 23?\nAnswer: 42739.5441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3 and 1\/(-7) - 1675\/1995?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*u**2 - 8*u + 8*u.\nAnswer: -73*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 98 - 1117879\nAnswer: -1117781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -9*r**5\/20 + r**3\/6 + 3*r + 218. Suppose 3 = -3*c - l, 0*l - l = -3*c - 3. What is d(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Let q = 10 + -7. Which is the nearest to r? (a) q (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*(-1)\/(-2))\/(2\/(-2)). Let j(u) = -2*u**2 + 1. Give j(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-34)\/40*(3 + 1) + 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 112243 (base 5) to base 7\nAnswer: 14606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 - 1727 - 2*l**3 - 5*l**3 + 7*l**3 - 2*l**2 - 4*l**3.\nAnswer: -4*l**3 - l**2 - 1727","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-12)*-2*((-36)\/(-8) + -5). Suppose 9*l - 15 = 4*l + 5*u, -4*u = 3*l + 19. What is the closest to r in 1\/6, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88991867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 957732*a**2 - 1915470*a - 957736.\nAnswer: 2*(a - 478868)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 8*n - 6. Let w be a(9). Let j(x) = 5 - 4 + 93*x - 92*x. Let q(u) = u - 1. What is w*q(k) + 3*j(k)?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2256, -0.2, 0.35, -0.02, 1\/3.\nAnswer: -0.2, -0.02, 1\/3, 0.35, 2256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxuuxxxxxxx. Give prob of sequence uxu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 - 2*a**2 + a. Let j(t) = -3*t**3 - 5*t**2 + 2*t - 1. Give 2*j(f) - 5*z(f).\nAnswer: 4*f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 712.91 - 11522898387\nAnswer: -11522897674.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.037+-175.525\nAnswer: -175.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3883277 (base 9) in base 12?\nAnswer: -86395a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 1. Suppose 0*t + 4*i = 5*t - 6, t - 2*i = 6. Let f be s(t). What is the tens digit of f\/(-2) + (-148)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-18) + 1\/(-6). Let i(w) = -2*w**2 + 14*w - 15. Let o be i(5). Suppose -5*r + 0*r = o*r. Is r at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1532*v - 207. List the prime factors of t(-4).\nAnswer: 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 290?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 1 + 1)*(129029 - 129029 - 397*c) + (4*c - 2*c + 0*c)*(-1 + c + 1) - c**2 - c + c.\nAnswer: 795*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/5, -96051, -5\/3, -1.3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 1388 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 598*j*y**2 + 4923*j + 2 wrt y?\nAnswer: 1196*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 647894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 348 and 16820?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1469.3 + 1469.3. What is the closest to o in -0.1885, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2\/15 (b) -5 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(320)*2 + 1 + -5 + 1 + sqrt(320) + 1)**2*5.\nAnswer: 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**(2\/17))))\/(o\/o**(-5)))**(2\/61)\/((o**4*(o*o\/(o*o\/o**(-1)*o)*o)\/o)\/((o*(o*o*o**(-1\/4))\/o)\/(o\/(o*o**3)))) assuming o is positive.\nAnswer: o**(10743\/4148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40\/589 - -25891\/42997. Calculate the common denominator of l and 20\/3.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1737\/(-108) - (-76)\/912.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5119*v - 2508 wrt v?\nAnswer: -5119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75.7 - 5.7. Let m = -75 + h. What is the third biggest value in m, -4, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**2 + 0 - 18*o**2 + 0.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 1:44 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -140*b + 136*b - 300. Let p = b + 142. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 + -1?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + 2*r**2 - 2*r**3 + 0*r**3 in the form x*r + i + f*r**3 + u*r**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 16*b**3 - 163*b**2 + 25*b - 9. Let o(l) = -7*l**3 + 84*l**2 - 11*l + 4. Give -7*o(n) - 3*u(n).\nAnswer: n**3 - 99*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-18))\/y)\/y**(-13)*(y**(-2\/3)*y)\/y**(14\/5) assuming y is positive.\nAnswer: y**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 340 and 28.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2307*y + 596*y - 4981*y + 2302*y)*(-2 - 2 + 2).\nAnswer: 8780*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29b5 + -6c25?\nAnswer: -990a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4525 - 4396. Calculate the remainder when b is divided by 124.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2. Let h(g) be the third derivative of -g**7\/504 - g**4\/24 - 8*g**2. Let u(a) be the second derivative of h(a). Give w(u(x)).\nAnswer: -50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4305 and 242925?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 4*a + 8)*(-a**2 - a**2 + 5*a**2) + (2*a**2 - 2*a + 2*a)*(0*a - 5*a + 3*a).\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 1484*j + 76632.\nAnswer: 4*(j + 62)*(j + 309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r - 6*r + 16*r + 29*r - 13*r.\nAnswer: 43*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.11 (b) -1.796 (c) -2\/11 (d) -5 (e) 0.071\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -46 times -0.5\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 4*f**5\/5 - f**4\/2 - 16*f**3\/3 + 4*f**2 - 12. Let r(v) = 0. Calculate v.\nAnswer: -2, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -112?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-752)\/(-6768))\/(1\/42)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -142 - -27. Suppose z + 2*n = -n + 166, -4*z + 664 = 4*n. Let q = z + f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -15. Let m(s) = 3*s**3 - 4*s**2 - 4*s + 5. Let p(t) = -2*t**3 + 3*t**2 + 3*t - 4. What is j*p(z) - 4*m(z)?\nAnswer: -2*z**3 + z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-1) - -14 - (-11250)\/(-675)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**4\/4 - 2*p**3\/3 + 3*p**2\/2 - p. Let g be a(7). Suppose 0 = f + 9 - g. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952 = -4*w + w - 4*f, 10 = -2*f. Calculate the greatest common factor of w and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (109 - 0) + 197 + 76 + -273.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56 + 60 - (-8 + -2)) + -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-11))\/(51\/(-2)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-98)\/(-14) + -4\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - k**4 - 3*k**2)*(-88*k + 4*k + 15*k + 1).\nAnswer: 69*k**5 - k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 16. Let u(z) = z**3 + 12*z**2 + 21*z + 17. Let r be u(-10). What is the lowest common multiple of 27\/r + (-14)\/(-98) and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -89960.89871.\nAnswer: -89958.89871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/p**(-1))**(-2\/69))**(-3\/35)*(p**1*(p*p**(1\/8))\/p)**44 assuming p is positive.\nAnswer: p**(79711\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 8) to base 13.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 1. Let u(w) = -50*w**3 + 15. Calculate 15*f(l) + u(l).\nAnswer: -35*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 3:02 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:21 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -875 times -5.195?\nAnswer: 4545.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-693)\/21 + 24)\/((-12)\/10))\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -210441 less than -210445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -1292?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1549 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 3853251 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 192750000 rounded to the nearest 1000000?\nAnswer: 193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1007762790 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -118, -28, 35, 5, -3.\nAnswer: -118, -28, -3, 1, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 - 0\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1330\/105 - (-5 - -15). Let p(f) be the first derivative of 0*f - j*f**3 + 15 - 5*f**4 + 0*f**2. Solve p(x) = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226926 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 9:05 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 6*c - 8. Let s(i) = i**2 + 7*i + 7. Let r(g) = -4*s(g) - 3*v(g). What is the remainder when r(-6) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/15 + 232*w\/15 + 1408\/5.\nAnswer: -2*(w - 132)*(w + 16)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 6:37 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31735 is divided by 3156?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (156\/(-104))\/(6\/16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1319.07 rounded to 0 dps?\nAnswer: -1319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -67, -84, -119, -178, -267, -392, -559?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 361, 1, 5 in ascending order.\nAnswer: 1, 5, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/4560 and 23\/15?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 7748268.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/994 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 13*q = 6. Suppose 3*w - 4*r - 1488 = 0, -q*r - 2 - 4 = 0. Suppose 6*z = 10*z - w. Does 27 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2. Suppose -10 = 3*c - 2*j, 5*j + 13 = 38. Let d(b) = -604*b**2 + 527*b**2 + 0 + c. Give d(i(k)).\nAnswer: -77*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 2:38 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -535, -534, -533?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9734609*c + 10155970 with respect to c.\nAnswer: -9734609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z*z)**(-3\/22)*((z**(2\/11)*z)\/z)**(-2\/47) assuming z is positive.\nAnswer: z**(-149\/1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001081249027 to 6 dps.\nAnswer: 0.001081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o + 176 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 3*y**2 + y. Let j be s(3). Suppose 3*i + j*f + f = 74, 76 = 3*i + 2*f. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -1006979?\nAnswer: -1006979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -1) + 8 + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*a - 59*a - 16332. Suppose a = 4*m - 976. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-4*k + 2*k + 0*k) - 5*k + 2*k + 4*k + 2*k + k - 5*k - 2120 + 2120 - 60*k - 1 + 1 + 3*k.\nAnswer: -56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1356*v - 941*v - 2 + 2613*v - 912*v to the form u*v + s and give u.\nAnswer: -596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**3\/5 - 4181*m**2\/5 + 482304*m\/5 + 6387984\/5 = 0.\nAnswer: -4293, -12, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 7) in base 4?\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8203221.\nAnswer: 3, 13, 23371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3979 + 3983. Solve -14*z = 2*w - 18*z + 2, j*w - 5*z = -7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/176*-2 - (120 + (-14911)\/124)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 793722 - 5.\nAnswer: 793717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(792)*4)\/((sqrt(33) + sqrt(33) + sqrt(231)\/sqrt(7))\/sqrt(3)) + 2)*-2.\nAnswer: -16*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 29 = 4*l, 0 = 3*k + 3*l - 2*l + 65. Let s be (-4 - 374\/(-2412)*29) + 4. Let c = s - 7\/134. Find the common denominator of c and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 51663358 and 0.21886039.\nAnswer: 51663358.21886039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.2, -0.5, -12.2, -2\/13 in ascending order.\nAnswer: -12.2, -0.5, -0.2, -2\/13, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 - 1562*o**3 - 117774*o**2 - 3101166*o - 27556200.\nAnswer: -2*(o + 27)**3*(o + 700)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 9*p**2 - p - 4. Let f be v(-9). Suppose -f*r + 122 = -63. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 5498*g**2 - 4460*g**2)*(1 - 2 - 1)*(0 - 1 - 1).\nAnswer: 4152*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from {h: 2, f: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - r - 10 = 0, -3*r - r = -4*p - 40. Let n(g) = 2*g + 12. Let m be n(p). Which is the nearest to 0? (a) -5 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2658 smaller than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41, -85, -169, -299, -481, -721, -1025?\n\"Answer: -w**3 - 14*w**2 + 5*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1133)\/484 + (0 - (21\/12 - 4))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 0.0208520811203.\nAnswer: 1.0208520811203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -13*y**3 - 7*y. Let h(c) = 66*c**3 + 34*c. Let x(a) = -11*f(a) - 2*h(a). Find the second derivative of x(n) wrt n.\nAnswer: 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = -a - 3*n, -a - 3 = -3*n. Solve 0 = -a*r - 5 - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3 (b) -5 (c) -6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)\/z)\/(z\/(z\/(z\/z**(2\/7))))*(z*z**2*z)**(-40))**15 assuming z is positive.\nAnswer: z**(-17400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231440131 (base 5) in base 13?\nAnswer: -810304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295946 is divided by 271.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -43155 (base 9) in base 14?\nAnswer: -a5a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000209781 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 15 - 15)*(3 - 3*y - 3)*(-3*y**3 + 2*y**3 + 0*y**3).\nAnswer: -15*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 + 31*q**2 - 41*q + 2. Let h be k(14). Suppose -3*y + 28 = 5*b, 0*b - 3*b + 36 = 5*y. Solve -y*j + 2*j + l = h, -4*l + 4 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4*x + 8*x + 15 = 0, 3*k + 15 = -x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**4 + 3*z**4 + z**2 - 3*z - 51*z**3 + 49*z**3 to the form s*z**4 + y*z + o*z**3 + d*z**2 + u and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 16, 19, 18, 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a**2 - 3*a**2 + a**2)*(55 + 58 + 18931*a + 36 - 149) as v + w*a**3 + x*a + g*a**2 and give w.\nAnswer: 18931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/30*6*(21 + 19135\/(-903)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/((-9)\/(-3)) + 1. Suppose s = 2*l - 15. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80864 a multiple of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(117) - (((sqrt(13) + -1 + sqrt(13))*5)**2 + sqrt(13)).\nAnswer: -1325 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = -2. Suppose -7 - 1 = -z*i, -5*i = -3*w + 23. Suppose -8*v + 500 = -116. What is the highest common divisor of v and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 34. Suppose -4*y + 32 = p. Solve y*r - 37 = 3*x, 4*r - 3*x - 40 = 2*x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -973759*u**4 - 456229*u - 3 wrt u?\nAnswer: -11685108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 + 4*d**3 - 2*d + 2*d**3 + 5*d**3.\nAnswer: 17*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17087716*m**4 - m - 467863?\nAnswer: 205052592*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(133) + sqrt(133))*2)\/(sqrt(56)\/(sqrt(80)\/sqrt(10))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064459?\nAnswer: 11, 96769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - t = 3*q - 247, -q + t = -53. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.51 + 9.51. What is the second smallest value in -0.4, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1646294 (base 11) in base 9?\nAnswer: -5244362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 652 and 657 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 605, 820, 939, 938?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3686*-0.05\nAnswer: -184.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 2c4d3?\nAnswer: -2c4d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -659, -1326, -2445, -4022, -6063, -8574?\nAnswer: -11561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 8*o + 9. Let x be b(5). Let u(y) = 4*y**3 - 2*y - 1. What is u(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53794451 and 1655?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2119, -2120, -2121, -2122, -2123?\nAnswer: -2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -2, -1, 76, 1, -15, -5 in decreasing order.\nAnswer: 76, 35, 1, -1, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + (-3 + sqrt(112) + sqrt(112)*1 + sqrt(112))*3 + -4) + 0)**2.\nAnswer: -19584*sqrt(7) + 149776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 4\/5 (c) -0.06 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -51. What is the remainder when 54 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c - 438. Determine b(48).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 10 - 3 - 352*x - 6 to i*x + q and give i.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 224 - 2466\/11. Which is the closest to -0.33? (a) -5\/3 (b) 1 (c) h (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7639*d - 8597 with respect to d.\nAnswer: -7639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 115.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**4 - 12*n**3 - 16*n**2 - 8*n + 2. Let i(b) = 5*b**4 + 13*b**3 + 16*b**2 + 8*b - 3. Let w(v) = -2*i(v) - 3*y(v). Solve w(h) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - a**2 - 2*a**2 + (-2*a**2 + a**2 + 2*a**2)*(4 + 3 - 6) + 73 + 2*a**2 + 54 + 25 to the form o*a + s*a**2 + v and give v.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 145 and 1650.\nAnswer: 47850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c**3*g**3 + 42*c**3*g + c**3 + 18*c**2*g**3 - 4*g**3 wrt g.\nAnswer: -24*c**3*g + 108*c**2*g - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -111, -167, -221?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3428 divided by -6\nAnswer: 1714\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 4\/(8\/(-26)). Suppose 2*k - t = -3*k. What is the first derivative of 2*a**2 + 3*a**2 + k*a**2 + 2 - 4*a**2 wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 5:26 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c - 34. Let t be p(5). Suppose 3808 = -t*f + 22*f. Calculate the greatest common factor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r + r - 2*r + (-4*r + 5*r - 3*r)*(3 - 2 - 3) + 1 + 10*r - 7*r + 0.\nAnswer: 9*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**5\/4 - f**4 + 39*f**3\/4 - 29*f**2\/2 - 7*f + 18 = 0.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, y: 4, o: 1, z: 1, n: 5}. What is prob of picking 1 o and 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 6:31 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 5*x**2 - 8*x - 7. What is the remainder when 50 is divided by u(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2. Let a(u) be the third derivative of -u**7\/630 - u**5\/4 - 40*u**2. Let v(r) be the third derivative of a(r). Give v(g(p)).\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, r: 6, g: 4, h: 4}. What is prob of picking 3 g?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*d = 10067*d + 10805*d + 397972 - 1562432 for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 11*r + 16*r - 412, -5*r + 124 = -d. What is d rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 13973 = 12*c - 9*c, -2*w = 4*c - 18596. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + v + 4. Let s(j) = 89 + 16*j + 13*j**2 - 2*j**2 - j**3 - 131. What is the remainder when s(11) is divided by a(-6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. What are the prime factors of 29 - -1*(-4)\/w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8\/3*n + 0 - 2\/3*n**3 + 10\/3*n**2 = 0. Calculate n.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + 1 + 22 + -19?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j + 239 = -283. Calculate the highest common factor of j and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12910 and 4750?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1035 + 678. Let l = 359 + m. Put 0, 0.15, l, -0.3 in increasing order.\nAnswer: -0.3, 0, 0.15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148543264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 6. Let o be ((-6)\/9)\/((-1)\/g). Let c = 10 + o. Solve -2*q = -3*z + 12, 0*q - c = -z - 3*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-9) + 1652\/2655. What is the closest to -0.1 in -0.1, n, -1\/12, -20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 19 = -6*j + 3*l, 2*j = 3*l + 38. Suppose -j*v + 16*v = -603. Does 67 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 99*d**2 - 26*d - 26. Give a(-1).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(108)\/sqrt(9))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, m: 4}. Give prob of picking 2 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**2\/3 + 6884*m\/3 + 680776 = 0.\nAnswer: -258, 1979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202 divided by -19.\nAnswer: 202\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 169*w**2 - 5*w - 4. Let i(p) = p**2 - 6*p - 4. Let o be i(6). Let y be z(o). Suppose -3*r = r - y. Round r to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000231638291 to six decimal places.\nAnswer: 0.000232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330\/88*2\/5.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*a**2*f*h - 264*a**2*h**3 + 4*f - 2*h**3 - 37*h wrt a?\nAnswer: 12*a*f*h - 528*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -296991920 bigger than -296991920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 6*h**3 - 5*h**2.\nAnswer: -h**2*(h + 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15612.46kg in tonnes?\nAnswer: 15.61246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 10*y**3 + 0*y**3 + y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 165679889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1175042 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145*x - 65*x - 118*x)*(1 - 1 + 2*x**3) + (2*x + 3*x - 6*x)*(-4*x**3 + 3*x**3 + 3*x**3).\nAnswer: -78*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 176436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76269 <= 76267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38316608 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*((sqrt(110)*3 + sqrt(110))\/sqrt(10)*-5)**2.\nAnswer: -13197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 10 - 4*c**3 + 6*c - 5*c to the form r*c + n + d*c**3 + s*c**2 and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 8*p - 3. Let k be n(-7). Suppose -k*v = v - 30. Calculate the remainder when 22 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5664, -2, -4 in ascending order.\nAnswer: -4, -2, 5664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.86472074 rounded to one dp?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -330*g**3*z**2 + 3*g**3 + 3*g + 15750*z**2 with respect to g.\nAnswer: -990*g**2*z**2 + 9*g**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shy when three letters picked without replacement from ymmmhzhsmmehhzs?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.24 - 4.76. Let k = 3.84 + 0.86. Let u = k + n. Which is the fourth biggest value? (a) -2\/19 (b) -2 (c) u (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -62 (b) -1\/3 (c) 6 (d) 7 (e) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03160752 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 14, h: 4}. Give prob of sequence hg.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a factor of 30157881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/63 of a week in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 2*y + 89, u - 5*y + 17 = 55 + 9 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 5*s**2 - 4*s + 2. Let r be b(-4). Suppose -7 - 33 = -r*o. Calculate the lowest common multiple of 6 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -642*t**5 + t**4 + 7*t**3 - 397*t**2 + 7340?\nAnswer: -38520*t**2 + 24*t + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/54 - -103\/270. Determine t so that 0 - 1\/5*t**3 + 0*t - 1\/5*t**5 + k*t**4 + 0*t**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 6*k + 3. Let x be w(6). Suppose 0 = x*g + 2*g + 25. Let s = 100 - 101. What is the nearest to -1\/3 in g, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23468703, -46937411, -70406119?\nAnswer: -93874827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-one quarters of a meter?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**2. Let l(v) = -183*v. Let a(d) = -1099*d - 244. Let i(t) = -a(t) + 6*l(t). Determine i(f(b)).\nAnswer: -4*b**2 + 244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102864525 by 5.\nAnswer: 20572905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7}. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*5.684048.\nAnswer: -39.788336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 11:46 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5091 - -5091.1. Which is the biggest value? (a) -1 (b) 0.5 (c) -4 (d) -6 (e) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-6)*84\/(-18). Let a(n) = 24*n**2 + 12*n - 49. Is a(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16726?\nAnswer: 2, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -11. Suppose s = -3*r + 35 + 19. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3897\/36 + (-6)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 take away 73144?\nAnswer: -73144.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 11 + 5. Solve -5*x - 3*n = 16, -x + f*n + 12 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 18 = -5*v, 3*l + 30 = -2*l - v. Let u = -18 + l. Let n = 28 + u. Calculate the highest common divisor of 20 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 186, 357, 524, 687, 846, 1001, 1152?\n\"Answer: -2*i**2 + 177*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 369802 or 2588624\/7?\nAnswer: 2588624\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3037534 - -1?\nAnswer: -3037533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 10:06 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -95318307 rounded to the nearest ten thousand?\nAnswer: -95320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4*g*g)\/g*(g\/((g*g*(g\/g**(4\/3))\/g)\/g*g))\/g*g)\/(((g**6\/g)\/g*g)\/((g\/g**7)\/g*g)) assuming g is positive.\nAnswer: g**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*i + 2*i**4 + 4*i + i**3 + 2*i**3 to g*i + j*i**4 + o + y*i**3 + m*i**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 123*l + 864. Let s be a(-7). Solve 3 = c + s*f - 1, 0 = -3*c - f + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (24 - 2) - 8?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44961 - -44960.9993424. What is m rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4 + 0)\/((-1683)\/110 + 15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*w - 111, -2*h - 4*w - 63 = 21. Let n = 22 - h. Is (-18)\/n - 12896\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 240499.29 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 225.929040201 and -0.4?\nAnswer: 226.329040201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 594927*m**2\/7 + 502118382*m\/7 - 5064\/7 = 0.\nAnswer: -844, 2\/198309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + 7 + -6 - 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679 smaller than 2678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -312*a - 568*a + 1869*a + 1551*a + 900*a in the form y + z*a and give z.\nAnswer: 3440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 46. Let r(n) be the third derivative of 1\/735*n**7 + 0*n**3 + 0*n - 1\/210*n**c + 0*n**4 + 0 + 1\/210*n**5 + 3*n**2. Determine a so that r(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**5 + 24*s**4 - 648*s**3 + 3456*s**2 - 7452*s + 5832 = 0.\nAnswer: -18, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/16489 and -24\/1499.\nAnswer: 16489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 - 3*l**2 - 61*l - 150. Give g(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 591899.\nAnswer: 5\/591899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14994 + 15002. Solve 4*w + 25 = -4*i + 17, v = -4*w + 5*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2542?\nAnswer: 2, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**6\/360 + 3*b**5\/40 + 7*b**4\/24 + b**3\/2 - 2*b**2. Let u(h) be the first derivative of z(h). Is u(-9) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + 11. Let c = -8 - -32. Let z = c - b. Sort -0.4, 1, z in descending order.\nAnswer: 1, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2245049138 and -0.217.\nAnswer: 2245049137.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(847) + sqrt(847)*1 + -2*(sqrt(448) + 2*sqrt(448)).\nAnswer: -26*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0 - 6 = -3*q, w - 4*q - 2 = 0. Factor -54*d + 5*d**2 - 24*d**3 - 373*d**4 + 58*d**w + 376*d**4.\nAnswer: 3*d*(d - 3)**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4408 + 4498. Let o(h) = h**3 - 3*h**2 + 5*h - 6. Let d be o(4). Calculate the greatest common divisor of s and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, 2, 4, 26, -1\/13 in ascending order.\nAnswer: -5, -0.3, -1\/13, 2, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 5*h + 36 = -4*d, -3*h - 3*d = -21. Suppose h*u + u = 270. What is the greatest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00143751 rounded to six dps?\nAnswer: -0.001438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 + -173. What is the hundreds digit of (u + -2)*(-1050)\/63?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*n + d, 6 = -15*n + 17*n + 2*d. Let s(a) be the second derivative of -7*a**3\/6 - a**2\/2 - 4*a. Determine s(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.3 (b) 2\/11 (c) 29.5 (d) 2\/5 (e) 2.57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m**4 + 582*m**3 + 2583*m**2 - 428076*m - 2126580 = 0. What is m?\nAnswer: -67\/3, -5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h. Let w(q) be the third derivative of -q**6\/144 - 13*q**4\/24 - 13*q**2. Let y(g) be the second derivative of w(g). Give t(y(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4939 = 9*n + 1564. Do 374 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 679 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by -19?\nAnswer: 150\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 30. Let g be (-384)\/(-15) + (-4)\/(-10). What is the smallest common multiple of k and (-2)\/8 + g\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27650602?\nAnswer: 2, 7, 17, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.073 in 2\/5, -0.4, -15, -10, 7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 377*n + 376*n + 8, -2*k - 8*n - 8 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.14 times 48\nAnswer: -54.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - n = -3*z - 15, 2*n = -z - 5. Let i = z - -12. Suppose -i*x - 5 = -o, x = -0*x - 2*o + 10. Let s(j) = j**2 + 3. What is s(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b - 12*b + b**2 - 3 - 1 + 8*b. Let h be x(-3). Let v(q) = q**2. Let a(k) = -12*k**2. Determine h*v(l) + 3*a(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89\/777 - -6\/37. Is 1 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23304 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by 33\nAnswer: 19\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**3 + 12292*m**2 - 78756 with respect to m.\nAnswer: -6*m**2 + 24584*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 56992.21 and 194?\nAnswer: 56798.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19.21642l?\nAnswer: 19216.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991024338 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:27 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -16*d - 37. What is z(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -2\/17, -2\/55, 1\/6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2. Let p(m) = -1 - m + 3*m + 5. Let b(i) = 9 - 27 + 9 + 7 + i + 3. Let h(j) = -12*b(j) + 3*p(j). Determine n(h(l)).\nAnswer: -144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13145542105 + -3?\nAnswer: 13145542102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 30406, -460, -7 in increasing order.\nAnswer: -460, -7, 30406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2. Let d(w) = -2155*w. What is y(d(h))?\nAnswer: -9288050*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5790 and 11490?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(sqrt(425) + -2 + sqrt(425)) - 1*(sqrt(425) - (1*sqrt(425) - sqrt(425)))) + 3)*5)**2.\nAnswer: -24750*sqrt(17) + 1287650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 474, 105, -17, -3 in descending order.\nAnswer: 474, 105, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-1))\/(258\/688). Let j(l) = 2*l**2 + 17*l + 13. What is j(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12 + 24\/48\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 561834 - 924477. Let a = 362647.69961 + y. Let b = -4.7 + a. Round b to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-6))\/5*27*(-35)\/(-105)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*b - 124252 + 10956 = 0. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543090.\nAnswer: 2, 3, 5, 43, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 3*x + 8*x + 113 - 2*x - 112. Calculate c(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1245 - b?\nAnswer: 123a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2204 (base 14) to base 8\nAnswer: 13374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -3 - 9\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2800) + sqrt(7).\nAnswer: -2 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5883870 - 5883870 + 3443*d in the form y*d + g and give y.\nAnswer: 3443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (-1 - -1) + 0. Let c(w) = -2*w**2 + 2*w. Let d(q) = -2*q**2 + 2*q. Let t(k) = g*c(k) - 3*d(k). What is the second derivative of t(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 0 - 11\/336*n**8 + 0*n + 0*n**3 + 11*n**2 + 0*n**6 + 0*n**4 + 0*n**7 + 7\/60*n**5. Find the third derivative of v(y) wrt y.\nAnswer: -660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -31. Calculate the remainder when 325 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217 - 221. Which is the closest to z? (a) 1 (b) -2\/13 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39 - -1 - 46) + (21 - -1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3074, 24540, 82800, 196250, 383286?\n\"Answer: 3066*x**3 + x**2 + x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 313366?\nAnswer: 11\/156683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 0.1, -5, 2\/15, 0.09?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 18*n**2 + 64*n + 3418. Let i(p) = -28*p**2 - 95*p - 5121. Let t(m) = -8*a(m) - 5*i(m). Differentiate t(g) wrt g.\nAnswer: -8*g - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s - 51. Let n be r(-11). Factor -2*c**3 + 60*c - 10*c**3 + 0*c**4 + 17 + 4*c**n - 28*c**2 + 55.\nAnswer: 4*(c - 3)**2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 18.6. Let j = -3.08 - v. Let x = -0.323 + j. Round x to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174 + 174. Calculate the highest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/3 + 16928*p**2\/3 - 388370*p\/3 + 236348 = 0. What is p?\nAnswer: 2, 21, 8441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -8*g + 97 - 14. Find h such that -242\/3*h**5 - 74\/3*h**3 - g*h**2 + 0 - 8\/3*h + 132*h**4 = 0.\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -50 - -4?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148481890*t**3 + 11*t**2 - 1367*t + 31?\nAnswer: 890891340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + -26 + 18 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8.15. Let p = 0.1 + l. Let y = 0.0499978 + p. Round y to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 136\/125?\nAnswer: 136\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 4*d + 176 = 0. Suppose 16 = -3*q + 7*q. Solve -17 = 3*r - 2*r - q*j, -2*r + 5*j - d = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-78*t + 78*t - 12*t**3 + (-2 + 2 - 2*t**2)*(2 - 2 - 6*t) + 4*t - 2*t**3 - 4*t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -685685 by 455.\nAnswer: -1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (-398)\/(-7))*-119*(0 - 1) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 9*m - 8*m - 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 1\/6*h**3 - 7*h**2 - 5*h - 12. What is c(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2547128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 5*n + 13, -5*s - 6*n = -n - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13+81243\nAnswer: 81230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 36. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 - 111*j + 110. Calculate p(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 46020?\nAnswer: 1\/9204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y. Let n(a) be the second derivative of a**5\/60 + 20*a**2 + 261*a. Let x(m) be the first derivative of n(m). Calculate x(i(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4272\/216 + 4\/18. Let z = r - 5. Is (6\/z)\/2*7405 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b0 (base 16) to base 10.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1087665 by -15.\nAnswer: -72511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 5. Calculate the least common multiple of w(0) and 1\/((-1)\/2) - -11.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, n: 1}. Give prob of picking 4 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19216, -19204, -19188, -19168?\n\"Answer: 2*i**2 + 6*i - 19224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101 + 104.1. Let n = -3 + f. Let j = 10 - 6. Which is the third smallest value? (a) j (b) n (c) 0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -32*i + 8. Let h(k) = -k - 1. Let u(c) = -g(c) + 5*h(c). What are the prime factors of u(6)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/27, -1, 1, 4\/5, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, and 1 d when three letters picked without replacement from {t: 2, h: 1, e: 1, k: 2, x: 1, d: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 11 = 5*z, 0*x - 5*x = 5*z + 35 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -1.2. Let s = 43 + -303\/7. Let p = -7 - -5. Which is the nearest to s? (a) l (b) p (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f + 171. Let j(l) = 2*l. Give c(j(u)).\nAnswer: -8*u + 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -610\/13 + 2633\/78. Find the common denominator of 29\/45 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/12*-1*26. Let n = 47 - j. What is the remainder when 14 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161\/684 + -1\/76. Let d = -3.55 - -1.55. Which is the nearest to 0.1? (a) 3 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 2*i - 2*i)*(3 - 8*i**4 + 38*i**3 - 38*i**3 + i**4 + i**4 - 3*i**4 + (i**3 - i**2 + i**2)*(0 + 0 - i) - i**4 + i**4 - i**4).\nAnswer: -22*i**5 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d8e52f - 1?\nAnswer: 3d8e52e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 - 135 = -120*g. What is the closest to g in -0.14, 0.5, -2, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + -4.3. Let y = n + 18.6. Which is smaller: -1\/3 or y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4*i - 8 = 0, 3*y = -7*i + 2*i - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)*-1*-2)\/((sqrt(448)\/sqrt(8) - sqrt(56))\/sqrt(8) - sqrt(7)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66950022, -66950013, -66950004, -66949995, -66949986?\n\"Answer: 9*s - 66950031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {r: 7, c: 3, z: 1, q: 1, a: 3, j: 3}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*c - 8 - 1 - 1 + 8.\nAnswer: 470*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -176.92 - -177. Let c = i + 2.92. Sort -0.1, -2, c.\nAnswer: -2, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) + 2*sqrt(68))*3 + -2*sqrt(68)*-3)\/(3*(3*sqrt(396))\/sqrt(11)))**2.\nAnswer: 425\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2688*d + 2\/7*d**3 - 50176 - 48*d**2 = 0.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314878 is divided by 122?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -801*n - 6761. What are the prime factors of m(-29)?\nAnswer: 2, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 337, 324, 309?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 3 (c) 0.4 (d) 89.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3101 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/9750669 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**3 - 4*w**3 + 5*w**3 - 3*w**3.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqpet. Give prob of sequence ppqe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 433969 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*t**3 + t**2 - 17*t**3 + 578 - 593 + 3*t**3 to h*t**2 + d + v*t**3 + x*t and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 < -2842\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924631?\nAnswer: 47, 103, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143787.03 + -142957. Let h = -830 + g. Let y = 3.8 - 0.8. Which is the closest to 0.4? (a) h (b) -1\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2835 + 443 + 178)*(3*t**2 - 3*t**2 + 2*t**3).\nAnswer: -4428*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - n - 1418, -951 = -15*r + 17*r - 5*n. Is -4 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/3300*352)\/((-8)\/(-20)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*b - i, 11 = -5*b + i + 58. Calculate the highest common factor of b and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s + s)*(-4 + s + 4) + 3*s - 9*s**2 + 0 + 10*s**2 + 3.\nAnswer: 3*s**2 + 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -166?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*p - 9, -5*p - 7*s + 15 = -8*s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**5\/20 + r**4\/24 + 10*r**2. What is the second derivative of i(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53031 is divided by 4789?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 148*l - 1 + 3.\nAnswer: -148*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 2, t: 1, y: 1}. What is prob of sequence ytm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from sssssssswssssss?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73804.\nAnswer: 2, 18451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (-12 - 10 - -11).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -18*v + 24*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 38*u - 2 = 27*u, -4*x + 2*u = 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 4*u - 1. Let q = 5 - 8. Let a be h(q). Suppose 10*r - 3*i - 129 = a*r, 2*r = -i + 45. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than -23129.0915?\nAnswer: -23141.0915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 8 = 22*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/3691 - -3990125\/51674. Let d = n - 77. Calculate the common denominator of d and -77\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.077 - -0.477. Let d = -338.3 - -338. What is the smallest value in 0.1, d, r, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t**2 - 22*t**2 + 109*t**3 + 13*t**2.\nAnswer: 109*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1089 = 135*u + 335*u + 1731 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 5. Suppose 0 = -v*i + 4 + 2. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7171418802+1.2\nAnswer: -7171418800.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484)*-4)\/sqrt(11) - sqrt(4400)*-1)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2025861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 225 - -10. Let q = -150 + y. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 250\/(-258) + (12\/2)\/6. Let u be ((-8458)\/903)\/(-2) - -1. Let v = u + z. Calculate the common denominator of v and -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/7 + 160144*t**2\/7 + 800670*t\/7 = 0. Calculate t.\nAnswer: -80067, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 8) to base 15\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 20. Let r be z(-19). Let v be ((-30)\/24)\/(r\/(-36)). Suppose -3 = 2*k - 39. What is the greatest common factor of k and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4590)\/(-99960))\/((-123)\/(-32)) and 15\/14.\nAnswer: 4018","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -16. Sort b, -0.5, -5.\nAnswer: -5, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -580 - -579.8254. Let r = w + 0.17. What is r rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(637) - 6*sqrt(637)) - sqrt(637)) + -5 + sqrt(637) + -2 + sqrt(637))**2 + 4.\nAnswer: 224*sqrt(13) + 10212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**2 - 3*o + 50. What is a(6)?\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2\/309 (c) -4 (d) 0 (e) 3 (f) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.112 + 0.888. Let l be 7 - (-1)\/(1\/(-2)). Let x(j) = -6*j + 1. Let z be x(1). Which is the third smallest value? (a) r (b) z (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)\/g)**(-20))**(-1\/28) assuming g is positive.\nAnswer: g**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*z - 2*z. Find the common denominator of ((-126)\/27)\/(8*((-153)\/38 - -4)) and 156\/(-8)*2\/z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*i**3 + 26*i**3 - 378*i**3.\nAnswer: -562*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -164, -246, -330, -416?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-130))\/((-390)\/(-975))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmmz when four letters picked without replacement from {b: 1, y: 1, m: 3, w: 1, z: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -24b3?\nAnswer: 24aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 646486152?\nAnswer: -646486150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**2 - k - 3. Let u be y(-1). Which is the nearest to u? (a) -0.1 (b) -2\/5 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.27 + 0.07. Let v = -15.959 - 0.041. Is j < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 16*c + 1. Let x be n(16). Let l(g) = 51*g. Let u be l(x). Suppose 2*a + u = 39. Let d(j) = j**3 + 7*j**2 + 5*j - 2. Calculate d(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1998.02 and 5.8.\nAnswer: -1992.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3863450098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/10 and (-42)\/8*36\/45.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/222 and -43\/4?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = s - 0*s. Let u(v) be the first derivative of -v**2\/2 - v + 64. Let i(c) = 3 + 4*c + 0*c - 2*c. Calculate s*i(t) - 7*u(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 226 = z + z, -141 = -3*j + 3*z. Let r = -31 - -18. Let o = r + 24. What is the highest common divisor of o and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 54111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 954516342 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -14*o**2 + 7. Let i(a) = -9*a**2 + 5. Let j(b) = 7*i(b) - 5*w(b). Let m(c) = 3*c. Calculate m(j(k)).\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -136 + 251635?\nAnswer: 251499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1985832259.\nAnswer: 23, 263, 328291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/9? (a) -1 (b) 11 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 539809680?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.22 - -0.32. Let j = -1.1 + y. What is the biggest value in -3\/4, -4\/7, j?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = 64*v - 24*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5 - -3)\/((-22)\/33))\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 297225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5994 divided by 27.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -40. Let z be (-2 + j\/(-10))*5. Suppose 0 = -3*u + 15 - 6. Solve -5*m - 1 = u*g, 3*g = -0*g - z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52433643.\nAnswer: 3, 79, 221239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -9*i**2. Let f(r) = -172*r**2 - 180*r**2 + 363*r**2 + 44*r. Calculate f(p(o)).\nAnswer: 891*o**4 - 396*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6639 + 137*k**2 - 145*k**2 - 2*k + 2*k.\nAnswer: -8*k**2 + 6639","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*n - 31 = -82, 48 = f - 3*n. Calculate the greatest common factor of f and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w + 2*z - 32 = -57*w, -4*w + 5*z - 10 = 0. Let i(p) be the first derivative of 5\/2*p**2 - 1 - 1\/3*p**3 - 6*p. What is i(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4786166?\nAnswer: 2, 7, 11, 31079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 230134 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: Collect the terms in -38539*x + 69459*x + 50384*x.\nAnswer: 81304*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y. Let c(k) be the third derivative of -k**4\/24 + 2*k**2. What is the smallest common multiple of b(4) and c(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050310 is divided by 562.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 - 2954*t + 4*t**3 - 3 + 2954*t in the form f + d*t**3 + w*t**2 + y*t and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724*k = -726*k - 5*o - 11, -o = k + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200845, 401692, 602539, 803386, 1004233?\nAnswer: 1205080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1094594 by -4822.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -g - d - 41, 240 = -2*g + d. Let k be (g\/20 + 4 + 2)*-2. Which is the smallest value? (a) -1\/6 (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 24*u = 3*c - 10, -4*c = -u + 4. Let a(h) = h**3 - h**2 - 2*h + 1. Let w(o) = -2*o**3 + 3*o**2 + 5*o - 3. Let d(j) = 5*a(j) + 2*w(j). Give d(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132625892 - -34.3?\nAnswer: -132625857.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 8*d + 5. Suppose 3*u - 40 = 4*r, u + 3*r + 20 = 2*u. Let g be z(u). Suppose g*n + y = 5*y + 31, y + 27 = 4*n. Which is smaller: n or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -20 - -14 - (-2 + 9 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1690.154 and 3.\nAnswer: -5070.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496 > 2496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6099 - 3044 + a**3 - 3051 + 57*a + (0*a**2 + 2*a**2 + 0*a**2)*(2*a + a - a) - a**3 + 0*a**3 - 2*a**3.\nAnswer: 2*a**3 + 57*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -h + 12, 3*o - 5 + 1 = -2*h. Suppose o*d - 30 = -d. Let c be (-8)\/(-68) + d\/(-51). Solve 0 = 3*m - c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 13*s + 9. Let b(d) = 63*d - 72*d + 6 - 12. Calculate 8*b(p) + 5*h(p).\nAnswer: -7*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/((-12)\/2)*3\/(-2). Suppose 4*q = -3*x + 81, -c*q - 2*x = -7*x - 97. Solve -5*b = r + q, -4*b + 12 = 3*r + 29 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.525396 rounded to 2 decimal places?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**6\/720 - z**4\/24 + 2*z**2. Let p(j) be the second derivative of d(j). Let h(t) = 2*t. What is p(h(g))?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/10 and 101\/6182?\nAnswer: 30910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6786483 and 616953?\nAnswer: 6786483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 114*x - 114. Let z be b(1). Solve -3*j - h + 2 = z, -19*h = -j - 18*h - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (13 - (37 + -34)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100633*j**2 - 101263*j**2 + 203223*j**2.\nAnswer: 1327*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((442\/(-234))\/(-17))\/(18\/9072).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/170816 and -11\/512.\nAnswer: 1366528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5*(-4539)\/3026)\/(11*3\/10)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2055 divided by -38352?\nAnswer: -685\/12784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9030*h + 198989. Calculate p(-22).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 27936389 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*k - 4*k + 194 = 0, 393 = 4*r + 3*k. Calculate the remainder when 225 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 2:35 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 32665 divided by 5\nAnswer: 6533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h + h**2 - 4*h**2 + 5*h**2 + 230 - 3*h**2 - 84. Let b be f(-10). Solve b = 4*r + 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9626?\nAnswer: 2, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 3*y**2 - 3*y + 1. Let x be (-145)\/(-7) + (-2)\/(-7). Let n = x + -15. Is h(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.4 + 4. Let d = 0.07 + -8.07. Let v = d - -4. What is the third biggest value in -3, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -10*d + 34. Solve -2*l = -d*s + 2 + 2, -3*l - 6 = -s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-207 - -246) + (1 - -1 - (-1 + 11))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Suppose -i - z + 7 = z, i + 8 = 3*z. Let w(l) = -7*l - 2. Determine i*w(y) - 6*u(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 87 + -b7252?\nAnswer: -b71ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - o = -1659 - 3026, 5*o + 4703 = 4*u. What are the prime factors of u?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 430414952 or 430414950?\nAnswer: 430414952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 + -2 + (53 - -51)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 20\/6 - (-146)\/(-73). Sort 0.2, z, -2.8.\nAnswer: -2.8, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 4*z + 46. Let j be l(9). Let g be 8\/16 - (1 + j). Let f(h) = h - 7. Let n be f(5). What is the nearest to 2\/3 in n, 3\/5, g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5966 greater than or equal to -4895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**5 - 2770*l**4 + 1355770*l**3 - 124376620*l**2 - 252831605*l - 127096450 = 0. What is l?\nAnswer: -890, -1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*x + 57*x + 1016*x + 901*x + 583*x.\nAnswer: 2454*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000368 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*w = 12*w - 183 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/7 (b) -4\/2761 (c) -3\/7 (d) 0.024 (e) -2 (f) 0.2 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67 and -1638.\nAnswer: 109746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11817445 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -7*s - 32. Calculate the remainder when 60 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 + -89.99963. Round f to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 y, and 1 u when three letters picked without replacement from {c: 2, f: 1, o: 2, y: 2, u: 2, j: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 45 = 5*w, 3*w + 337*z = 334*z - 15 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27749 or 27748?\nAnswer: 27748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = d + 4*c - c, -d + 3*c + 20 = 0. Let t = -67 + 16. Let m = t + 73. Calculate the lowest common multiple of d and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**3 - 11*f**2 - 24*f. Let a(p) = -p**3 - 2*p**2 - 5*p. What is 11*a(t) - 2*j(t)?\nAnswer: -t**3 - 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, z: 2, t: 4, e: 3, q: 1, w: 3}. Give prob of sequence ktkz.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m - 5. Let x be s(2). What are the prime factors of 110\/x - (-1)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.3, 1, -1, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2563013552 and -0.60502.\nAnswer: 2563013551.39498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7156 by 1789.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -9967*d**3\/6 + 5406*d**2 + 5*d - 150. What is the first derivative of o(t) wrt t?\nAnswer: -9967","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-7 + 0 - -4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b3 (base 16) in base 3?\nAnswer: -221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 352*v**3 - 18*v**2 - 2 - 573*v - 206*v**3 - 12*v**4 - 147*v**3 wrt v?\nAnswer: -144*v**2 - 6*v - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7 + 1 + (6 + 0)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 487*t - 10*t**2 + 493*t - 7*t**2 - 980*t.\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/484955 and -143\/16876434?\nAnswer: 84382170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*w - 0*w + 32, -12 = 3*w. Suppose u + u = n. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*z + 382 + 416 + 407 - 1120)*(-z - z + z).\nAnswer: 43*z**2 - 85*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04468977 rounded to 5 dps?\nAnswer: 0.04469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 r when two letters picked without replacement from {o: 1, l: 1, n: 2, r: 2, p: 2, d: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 209*s - 1084 + 3801 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**5\/15 - n**4\/3 + 16*n**3\/3 + 160*n**2\/3 + 132*n + 18. Let w(k) be the first derivative of b(k). Factor w(z).\nAnswer: -4*(z - 5)*(z + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 837*h**2 - 1658*h**2 + 827*h**2 + 4.\nAnswer: 6*h**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83836*y**3 + 36346*y wrt y?\nAnswer: -503016*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -105499 * 1.8\nAnswer: -189898.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12697776 is divided by 4506.\nAnswer: 4374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -34)\/(12\/88). Calculate the greatest common divisor of 44 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -792 - -7959\/10. Let z be ((-45098)\/21820)\/((-10)\/60). Let l = -1\/1091 + z. What is the common denominator of l and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -167 - -1000?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 3:12 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 58*w**3 + 157*w**2 + 11*w + 9. Let u(z) = -26*z**3 - 78*z**2 - 6*z - 4. Calculate -4*p(q) - 9*u(q).\nAnswer: 2*q**3 + 74*q**2 + 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2626469701.\nAnswer: 71, 73, 313, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 86.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**2 + 3*h - 4. Let u be b(2). Let d = -5 + u. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (8\/(-8) - 76\/(-10)). Factor -2*o**2 - 16\/5*o - p*o**3 - 8\/5.\nAnswer: -2*(o + 1)*(o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f + 15, -2*f + 24 = 5*b. Let u be (4\/b)\/((-2)\/(-6)). Suppose 10 - u = 4*j. Put -4, j, 1 in descending order.\nAnswer: j, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 5*v, -14*w - 17 = 3*v - 15*w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 12. Let i be j + -7 + 6 + 1. Suppose 10 = i*w - 14. Solve -3*v + w = 0, s + 2*v = -v + 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1279*z + 3. Let p be u(1). Suppose 0 = -23*s + 25*s - p. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5, 4, -4 in ascending order.\nAnswer: -14, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2 + 13 = 0. Suppose 0 = j, 3*g - j = -b*j + 12. Suppose 0 = g*a - 61 - 135. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 1 + 5. Let p = f + -2. What is the second derivative of -p*u + 5*u + 2*u - 6*u**3 - 6*u wrt u?\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -73058c3 - 6?\nAnswer: -73058c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 1, r: 1, p: 1, y: 1, j: 2}. What is prob of picking 1 j and 1 c?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**3 + 2*g**2 - g + 1. Let h be i(2). Let c = h + -25. Calculate the remainder when 86 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.653248ml in litres?\nAnswer: 0.006653248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-9)\/((-126)\/28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11313 + 11313. Is z > 60\/283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoeeeoooeeoee. What is prob of picking 1 o and 1 e?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -5*d**4\/24 - 608*d**2 - 4*d. Let g(z) = z - 4*z + 4*z. What is -4*c(r) - 25*g(r)?\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5232*18.5.\nAnswer: -96792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210432 and 83844.\nAnswer: 10732032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-24)*-6*2*12\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2454192 divided by -4.\nAnswer: -613548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + 464?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(11) + sqrt(11))*-3)**2*-3.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**3 + 13*g + 355*g**2 + 13*g**3 - 432*g**2.\nAnswer: -2*g**3 - 77*g**2 + 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*1\/3)\/((-1)\/(1305\/75))?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13221, 52696, 118463, 210516, 328849, 473456?\nAnswer: 644331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -897, -1819, -2765, -3747, -4777, -5867?\nAnswer: -7029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2838597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8996123 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5265 is divided by 232.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2\/15, 3794, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (414\/18)\/(-230)*20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -397355*s**2 - 828629.\nAnswer: -794710*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.7 - -15.67. Let t = 7 + -7.03. Let g = t - p. Which is the second biggest value? (a) 0.4 (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + 0*d)*(6 + 14 + 1).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, g: 2, s: 1, x: 3}. What is prob of picking 1 s and 3 x?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15d05 + 1c7?\nAnswer: -15b1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8726 - 0.1274. Let a = 67.045 - 67. What is the closest to -3 in a, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*i + 3*q - 9, 0 = i + 2*q. Calculate the lowest common multiple of 70 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 24\/5*n**3 - 648\/5*n + 1458\/5 + 2\/5*n**4 - 36\/5*n**2 = 0.\nAnswer: -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -26. Let y(b) = b + 3*b**2 - 8*b**3 - 25*b**3 - 2*b**2. List the prime factors of y(o).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - f - 20600004, -4*n - 41199984 = -8*f + 4*f. What is n rounded to the nearest one hundred thousand?\nAnswer: -10300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82341 + 4*n**2 + 6*n - 6*n - 82355.\nAnswer: 4*n**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*b**5 - 1167*b**3 - 3*b**2 - 25399*b wrt b.\nAnswer: -1860*b**2 - 7002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -9d?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*g + 184 - 151. Is 1\/349 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6887161*z**3 - 360888 wrt z.\nAnswer: 20661483*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*d**5 + 0 + 1 + 27*d**5 + (d + 2 - 2)*(-1 + 1 + 5*d**4).\nAnswer: 4*d**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = 22*m - 249. Suppose 0 = m*b - 3950 - 438. List the prime factors of b.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -245, -14, 5 in decreasing order.\nAnswer: 5, 2, -14, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3051)\/4068*(-4*(-2)\/(-6))\/((-33)\/12)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*q + 12, 0 = -2*q - 0*z - 4*z + 12. Find the second derivative of -3*b + b**5 + 6*b**q - 6*b**2 wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1035676 (base 9) in base 5?\nAnswer: -120232244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 6*b**3 + b + (0*b + 2*b - 4*b)*(1 - b**2 - 1).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/84)\/((-72)\/(-84))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5\/3, 9\/5, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -10 + 8*q + q - 3*q**2 - 5*q**2 + q**3. Let s be h(7). Suppose -p = -s*u, -5*p + 49 = 4*u + 1. Calculate the lowest common multiple of p and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-10)\/(-35) + 0 + (-54)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -63 - -2?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 1, r: 4, a: 3}. What is prob of picking 3 y and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i, -46 = -2*k - 2*i + 6*i. What is the remainder when 78 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -29*m**3 + 1483*m**2 - 14*m - 5832. Let v(q) = -4*q**3 - 2*q - 1. Let o(r) = -c(r) + 7*v(r). What is the derivative of o(a) wrt a?\nAnswer: 3*a**2 - 2966*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1634 + 101374*q - 101377*q + 1475 to the form n + h*q and give n.\nAnswer: 3109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 4 - -40 - (2477 + -2481)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 2*a**6\/105 - 2*a**5\/35 - a**4\/7 + 16*a**3\/21 - 8*a**2\/7 + 116*a. Determine o, given that g(o) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60.46 or 752?\nAnswer: 752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 105 + 8 + (-1)\/(-1). Let z = -28 + s. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n**0\/n))\/n))\/n)**(-35)*n\/(n\/(((n*n**(-1\/8))\/n)\/n))*n**3*(((n\/n**(-1))\/n)**(-26))**13 assuming n is positive.\nAnswer: n**(-2409\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 558 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 3*p - 2*p)*(-11*p**2 - 9*p**2 + 7*p**2)*(2*p - 2*p - p)*(3 - 3 + 4) in the form s*p**3 + a*p**2 + v*p**4 + z + f*p and give v.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 5*i = 1321 - 1208, 155*f + 69 = -158*f + 311*f - 3*i for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1 + 7 - (56 + -54). Let v(g) = 0*g - 5 + g**2 - 4*g - 5*g + 5*g. Determine v(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29346 = 27*i - 105924. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -2\/1397, -2, 1\/8 in ascending order.\nAnswer: -2, -2\/1397, 1\/8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -11*n + 13. Let g be k(-13). Let v = -86 + g. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*a = 158*a - d + 14, -9*a = 2*d - 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9+54\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -11*x**3 - x**2 - x + 1. Let g(b) = -b**3 + 8*b**2 + 17*b + 31. Let k be g(10). What is v(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23325\/(-7000) + 6\/(-16) + 4 and -88\/15.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/30)\/(2\/(-5)). Solve 0 = -y - t + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 8*i + 6. Let g be j(7). Suppose b = -58 + 14. Is g\/(((-6)\/b)\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*x - 9462 = -123*x + 341*x for x.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, 1.82, -17.6, -1.5 in descending order.\nAnswer: 1.82, 0.2, -1.5, -2, -17.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - 8. Let f = -67.61 - -21.75. Let k = f - x. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 3026?\nAnswer: -3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 6*y**2 + 8*y - 10. Let u be v(5). Suppose 0 = -5*g + 4*p + 177 + 39, -u*p + 137 = 3*g. Which is smaller: g or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r + 3. Let m be n(-1). Suppose 2*b = 5*y - b + m, 3*y - b + 1 = 0. Does 7 divide 83\/3 + y\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 333 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 39*z**2 - 226*z + 59. Determine y(32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2376093, 2376086, 2376089, 2376114, 2376173, 2376278, 2376441?\n\"Answer: 2*a**3 - 7*a**2 + 2376098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0002 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(180) + 4)*3.\nAnswer: 6 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -2, 121557, -119 in descending order.\nAnswer: 121557, 4, 2, -2, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 31 = 3*a. Let d = 19 + a. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 14*x**2 - 95*x - 178. Give f(-7).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/33280 and 17\/80.\nAnswer: 33280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:01 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -783 - -740 - (0 + 1)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + -1000?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 110669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 at most -60\/17579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 815 and 3097.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/160998 or 0?\nAnswer: 7\/160998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 288044284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1118*0.3\nAnswer: 335.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66066121*s**6 - 1181*s**2 - 14740?\nAnswer: -7927934520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, o: 9}. Give prob of picking 1 g and 1 o.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + 5*x**2 + 96*x + 5. Let n(t) = 2*t**3 + 6*t**2 + 95*t + 6. Give -6*f(u) + 5*n(u).\nAnswer: -2*u**3 - 101*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 3*i**2 + 5*i + 2. Let g be l(4). Let o = 1 + -2. Let p be g - (0 - 1)\/o. Solve -p*x + 16 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n. Let a(z) = 2*z + 146. Calculate f(a(i)).\nAnswer: 8*i + 584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 10, 0.3, -15, -0.5 in decreasing order.\nAnswer: 10, 0.3, 0.1, -0.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -9399*l**2 - 17645422 + 17645422 as w + j*l**2 + x*l and give j.\nAnswer: -9399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24 + 28)\/84*3\/(-1). Let u = 17.3 + -18.23. Let r = u + -0.07. What is the fourth biggest value in 0, t, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from mppmmmmmmmpmmp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4095)\/315*(-1)\/(-5)\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-57973)\/21 - 4\/6. Let y = 2768 + b. Let r = 51038\/11 - 4644. Calculate the common denominator of y and r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3976, -8165, -12604, -17293?\n\"Answer: -125*m**2 - 3814*m - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 0*h - 7*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4*v - 228, -3*v + 1 - 10 = 0. Let w(q) = -46 + 145 - b + 2*q - 45. Let z(r) = -3*r. Determine z(w(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqiiqq. What is prob of picking 3 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(180) - (2 + sqrt(192) - sqrt(192)).\nAnswer: -2 + sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, t: 3, o: 1, x: 2}. Give prob of sequence ttte.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 101101011101001110100011 (base 2) to base 5\nAnswer: 11022304240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 3:27 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -4. Put i, -4, 3, 0 in increasing order.\nAnswer: -4, i, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1663 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(48) + sqrt(3)).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 31*v - 17. Let k(i) = -11*i + 6. Let n(w) = 17*k(w) + 6*x(w). Let p(y) be the second derivative of 7*y**4\/6 - 2*y. Give n(p(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593.416 litres in millilitres?\nAnswer: 1593416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1960*-4307\nAnswer: -8441720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57276\/(-189329) - (4\/(-7))\/(0 + -2).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 23*s - 13*s. Suppose -3*h = 4*g + 7, s*h + 38 = 4*g - 0*g. Put -3, 1, h in decreasing order.\nAnswer: 1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 15*p**2 - 15*p - 7. Let x be r(14). Let o = -7 + 34. Let h = x + o. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85.05 - 90. Let q = x + 4.743. Round q to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 10*j**2 + 10*j + 38. Let w be c(11). Let a be (-184)\/(-10) + (-6)\/15. What is the greatest common divisor of w and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538403.1ml in litres?\nAnswer: 538.4031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*n + 1072 = 0, -3*n = n - 20. Calculate the highest common factor of l and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = -21. Let h be (-14)\/a - 36\/(-24). Factor -s**2 - 2\/3*s + 0 - h*s**3.\nAnswer: -s*(s + 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxnnnnxnxnn. Give prob of sequence nnx.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*d - 1 + d - 3*d - 5*d + 3.\nAnswer: -29*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s. Let j(b) = 3 - 11*b - 10 + 7. Give j(i(o)).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 i when three letters picked without replacement from iwwwwwwiwwwwwi.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c. Let z(l) = 2 + l - 2 + l. Calculate z(p(j)).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -5. Let x = 7 + -2. Suppose -3 = x*m - 8. Sort 3, m, b in descending order.\nAnswer: 3, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvvixvixv. Give prob of sequence iv.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -195*a**4 + 454*a**3 + a + 3590485 with respect to a.\nAnswer: -780*a**3 + 1362*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8000\/((4\/(-40))\/1). Round x to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-2\/31)\/k*k**(-9))\/((k**(-13\/2)*k)\/(k**19*k)))**(1\/18) assuming k is positive.\nAnswer: k**(1081\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3869\/462 - -705\/88. Calculate the common denominator of -47\/84 and h.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725289.\nAnswer: 3, 419, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906.8841 months to decades.\nAnswer: 7.5573675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160236298 + 4*u**2 + 160236298.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 3, 0, -5\/2, 14688\/5, 28, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 12:39 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -130.6 to 0 dps.\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 25*b**2 - 8*b + 41. Let h be m(24). What is the hundreds digit of h\/4 + (-5)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -31*i**5\/30 - 5*i**4\/24 + i**3\/3 + 2*i**2. Let j be s(-6). What is j rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168417390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -34*a**3 + 3*a**2 + 39*a + 105. What is the remainder when m(-3) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(1560\/182)*(-6)\/(-21). Let l(j) = 2 - 10*j + 1 - 4. Determine l(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c - 1a4a?\nAnswer: -19ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 3*j**2 - 4*j + 6. What is the lowest common multiple of 290 and f(-3)?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 358?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, 4.255, 0, 2\/5, -1\/3, -3\/7, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3397448 and 46760?\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 767369610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 164*z - 2297. Let b be t(14). Sort 3, -4, b, -73, 18.\nAnswer: -73, -4, b, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**3 + 163*k**2 + 5*k + 2. Let x(t) = t**3 - 3*t**2 - t. Calculate -v(i) - 5*x(i).\nAnswer: i**3 - 148*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 5\/2113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-819)\/455 - 36\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 1. Suppose -3*g + 20 = i, 0 = i - 2. Let j = -5 + g. Suppose o - j = -0*o. What is f(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.151 (b) 0.4 (c) 15 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6652000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/560 and 69\/3241616?\nAnswer: 16208080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 630 + -613. Calculate the remainder when 232 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -180 + -426. Let s = -606.3 - r. What is the fourth smallest value in -0.1, s, 20, -1\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -8 - 4, -3*w + 5*a + 276 = 0. Calculate the highest common factor of 4 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110010 (base 2) to base 13.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 118409, 111989, 105567, 99143?\n\"Answer: -n**2 - 6417*n + 124827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770094 - 9698*p + 770094.\nAnswer: -9698*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9056c (base 13) in base 10?\nAnswer: 257984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/(9 + -6). Which is the closest to h? (a) 0.1 (b) -0.5 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/8 + 73185*a\/4 - 5356044225\/8.\nAnswer: -(a - 73185)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581 = 3*h + 584. Let b(u) be the first derivative of u + 1\/2*u**2 + 14. Let n(g) = 3. Determine h*n(j) + 3*b(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*m + 327274 - 109091 - 109090 - 109091.\nAnswer: 53*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(1\/25))**(-4\/27))**5)**(-15))**14 assuming c is positive.\nAnswer: c**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 71 - 1?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1033983 divided by -114887\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5332, -10638, -15912, -21154?\nAnswer: -26364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 27*o**2 + 30*o - 94. Let y be s(26). Solve 4*f + 3*a - 2 = 0, f + 3*f - a = y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832316.\nAnswer: 2, 251, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 - 1. Let c be o(-1). Let t = -2 + c. Is 4\/7 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-99)\/72 - 6\/(-4)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76140 is divided by 102.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) - (-2)\/(-3). Suppose -4*q + q = n. Calculate the least common multiple of 2 and ((-20)\/(-1) - 0) + q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggppppgppppppp. What is prob of sequence pgg?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/4, -0.17157, 4, 1\/3, 10\/11?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000095691 to 7 decimal places.\nAnswer: 0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 + (-4)\/((-48)\/28). What is the derivative of -24*f**3 - 3*f**3 - z*f**3 + 82 - 13*f**3 wrt f?\nAnswer: -126*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 482944 and 23912.\nAnswer: 29459584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1569543 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71\/270 - 7\/54. Suppose 15*q + 1121 = 176. Let a be 9\/(q\/14) + 3. Which is smaller: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 144 = -12*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-11)\/759)\/1)\/((-2)\/(-12)). Let s be (-5)\/10 + 2\/(-20). Which is the fourth smallest value? (a) s (b) 3 (c) 1\/4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 298622 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 7*r**4\/6 - 69*r**3 + 200*r**2 - 2*r + 40. Determine w, given that j(w) = 0.\nAnswer: 1, 200\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + 11. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c*c**(-1))\/c)*c*c*c)*c*c**(-4\/3)\/c)\/((c**0\/c)\/(c**(1\/2)\/c*c)) assuming c is positive.\nAnswer: c**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-2 + 1) + -2. Let m = o + -3. Let c(q) = -q**3 + 18*q**2 + 43*q - 45. Let j be c(20). Solve 3*x = -m*x - j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15942041135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 724 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10484 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 1 + 5. Solve -p*u**2 - 12*u**3 + 6*u - 9*u + 4*u**4 + 15*u = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.73 + 33.66978. Let n = 0.4 + -0.46. Let t = z - n. Round t to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151111269 is divided by 37777811?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3582 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1. Let i(y) = -2*y - 5. Let w(o) = -i(o) + 6*l(o). Calculate w(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1139 and 246908.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.197 (b) -3 (c) 5 (d) 1\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 3)*(-4 + 2 - 6) + 2 + 3 + 1)*(-2*c**2 + 2*c**2 + 3*c**2) + (-c + 2*c - 2*c)*(3*c - 3*c + c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -s + 3*v + 4, 0 = 3*s - 3*v - 84. What is the remainder when s is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10331 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-2 - -3) - 141. Let u = k - -148. Calculate the greatest common divisor of u and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -2. Suppose 4*o - 3*s = n + 3, 2*s = -2*o - 4. Suppose o = -x + 15 - 2. Is x 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 fffsfppsfpp. Give prob of picking 1 p and 2 f.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, -408, -1539, -3392, -6117, -9864?\nAnswer: -14783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 13*p + 4. Let q(f) = 15*f. Let r(x) = 89*x. Let w(t) = -6*q(t) + r(t). Let i(v) = 8*v**2 - 3*v. Give p*i(d) + 3*w(d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 5*o = -6, 0 = -2*v + 2*o - 6*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6678, -6686, -6704, -6738, -6794, -6878, -6996?\n\"Answer: -a**3 + a**2 - 4*a - 6674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzzz when four letters picked without replacement from zzppppzpppzppzpp.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -4 (b) 0.1 (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Suppose -1 = -x*j + 15. Solve -3*o - 5 = -f - j*o, o - 21 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/241 <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 60 = -15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 7*t - 10. Let s be l(4). Let r be ((-40)\/3)\/((-1)\/3). Is 4 a factor of 304\/r - s\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.23, 4, -2, 8\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 3649.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - p + 3. Let t(c) = 3*c. Let j be t(1). Let o be u(j). Suppose 4*z = 2*s - s + 9, -s - 5*z = -o. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 49048 + 3367 = 0. Let h be u\/22 + 1\/2. Let a = h - 24. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 6*n**2 + 4*n + 5. Let u be k(5). Let v be 1 + 1\/(-3) + u. Let p = 414 + -416. Which is the biggest value? (a) p (b) -0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/3)\/((-56)\/(-36))*(-1)\/(-81)*3\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 16 = k + 68, 4*u - 2*k = 44. Let w = 95 - u. Let j = 23 + w. Calculate the remainder when j is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 - 1.4. Let p = -0.32 - -0.02. Which is the nearest to 0.1? (a) -3 (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a factor of 2840797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 = -2*n, n - 30 = -0*n - 5*z. Solve -26*v + 55*v - 116 = n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 5:57 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38305199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11347 + -5132. Calculate the highest common factor of 110 and a.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000169408 to six dps.\nAnswer: -0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 235878171, 235878169, 235878167, 235878165?\n\"Answer: -2*n + 235878173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2140, 4, 3\/2, 38, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 240*t - 1736. Let p be d(-7). Let r(x) = -x**3 - 5*x**2 + 11*x + 1. Calculate r(p).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k - 139 = -69 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 37b?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q**3 - 16*q. Let m(v) = -3*v**3 - 5*v. Determine -11*m(h) + 4*u(h).\nAnswer: h**3 - 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**5\/7 - 1072*a**4\/7 + 45330*a**3\/7 + 365812*a**2\/7 - 26907464*a\/7 + 52006128\/7 = 0.\nAnswer: -23, 2, 34, 489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 6) to base 14\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 629, 1432, 2555, 3998?\nAnswer: 5761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 95.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 1. Let p be i(-8). Let g = p - -24. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3347623 to the nearest integer?\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(180))**2*-6 + (sqrt(5) - (-2 + (1 + sqrt(5))**2)) + sqrt(5).\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -6419347 and -6419347 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63221, -252858, -568917, -1011404, -1580325, -2275686?\n\"Answer: -n**3 - 63205*n**2 - 15*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/225207 and -115\/23706.\nAnswer: 450414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + o = 3126, 0 = o - 3 + 4. Let h = 484 - t. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 130 - 50 = 0. What is the lowest common multiple of z and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32656 = -0*r + 4*r - 2*c, -3*c - 40818 = -5*r. Suppose -m + r = 5*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(17)*-1 - (sqrt(17) + ((sqrt(119)*1 - sqrt(119))\/sqrt(7) - sqrt(17))**2)) + sqrt(51)\/((2*sqrt(27))\/sqrt(9)).\nAnswer: -9*sqrt(17)\/2 - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*d - 3625 + 1336 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012 times -245?\nAnswer: -2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5\/2 - 35661*l**4\/2 + 124795*l**3 - 213922*l**2 - 71316*l + 285232 = 0.\nAnswer: -1, 2, 4, 35654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**5 - 783*l**4 + 186*l**3 + 423*l**2 + l - 897 wrt l?\nAnswer: 180*l**2 - 18792*l + 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047621711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 16 in increasing order.\nAnswer: -5, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 + 8 - 8 - 6*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -351 (b) -1\/3 (c) 0.1 (d) -4 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -652?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*d + 3 + 2, 5 = 2*r - d. Suppose r*v + 2*v = 300. Let q be 0\/(1 + 2) - -30. Calculate the highest common factor of q and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2 - 9 - 2*d - 8*d. Let h(o) = 62*o - 14. Let u(c) = -15*c + 3. Let r(s) = -4*h(s) - 17*u(s). Let p(n) = 5*i(n) + 7*r(n). Calculate p(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 divided by -1560797\nAnswer: 115\/1560797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*d**2 - 1390380*d - 6952525.\nAnswer: 5*(d + 5)*(5*d - 278101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-6))\/((-6)\/252) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v + 2. Calculate p(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 2. Let u(j) = -4*j. Let f be u(c). Solve 0 = l + 2*l - f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4440119293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.9. Let w = 41.5 - 41. What is the nearest to -2\/7 in 5, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:38 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 - 3*v**2 - 2562498 + 2562505.\nAnswer: 3*v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbrbbbb. Give prob of picking 3 b and 1 r.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -350662?\nAnswer: 350653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/((-2)\/(-40)))\/((-6)\/(-18)). Let m = q - -72. Solve -3 = -3*b - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 0*z + 0*z - 2*z + 5*z. Let l(a) = 4*a**2 - 3*a**2 + a**2. Determine s(l(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(6)\/sqrt(2)*2) - ((sqrt(165)\/sqrt(3))\/sqrt(11) - (sqrt(5) - (sqrt(15)\/sqrt(3) + -4))).\nAnswer: -sqrt(5)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 772?\nAnswer: -3860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.36 and 109514.3.\nAnswer: -258453.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*a**2 - 288*a**2 - 56*a**2 - 51*a**2.\nAnswer: -532*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p + 42*p - 800 = 0. What is the greatest common factor of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-4)*-19*(-18)\/18?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-2)\/(-8) + (-319)\/348). Which is the fourth smallest value? (a) -4 (b) i (c) 5 (d) 6 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1996510037.\nAnswer: 563, 3546199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2*o + 4*o)*(0*o + 0*o + 2*o)*(-1 - 2 + 4 + (-2 + 1 + 2)*(-6 + 3 + 1) + 1 + 2 - 5 - 1 + 2 + 1 + 0 + 2 + 0).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 20359*t - 20378*t - 4*t**2 - 156 + 158 + 3*t**4 as a*t**2 + h*t + u*t**4 + g + z*t**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133 - -133. Is j at least as big as 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from {w: 2, e: 1, z: 1, t: 1, y: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 - 3 + 75*n + 0.\nAnswer: 75*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 + 75 - (9 + 0)) + 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32422003 (base 6) in base 8?\nAnswer: 3541123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1553090\/3 - -523285. Let s = -5638 + v. Is -49 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**0*t*t**(-1\/9)\/t*t)\/((t**(-6)\/t)\/t**(-8\/7)) assuming t is positive.\nAnswer: t**(488\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 12 = -4*w, -3*k - 13 + 11 = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 35*x + 3. Let b be o(-35). Let c(t) = 8 - t**3 + 9*t**b - 4*t - 9*t**3 + 6*t**2. Give c(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 3*d - 3 + 3*d + 3.\nAnswer: -2*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcb when three letters picked without replacement from eycyqbb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69696 divided by -4.\nAnswer: 17424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.43506 - -3.065392. Let d = -6.5 + z. Round d to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1859567*h. Let f(p) = 10*p + 2. What is f(u(c))?\nAnswer: -18595670*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 332\/83*6\/8. Suppose -10*y = -15*y. Suppose y*j = j - 4. Put -2, j, 2, a in ascending order.\nAnswer: -2, 2, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooaowagaooooowxgoao. Give prob of sequence wax.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2\/3, 27, -3 in decreasing order.\nAnswer: 27, 2\/3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.273 less than 12.9?\nAnswer: 4.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -95, -91, -89, -89, -91?\n\"Answer: -c**2 + 7*c - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 13122656?\nAnswer: 13122655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4206 and 1158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**21*b*b**(2\/59)*(((b*b*b**(-1\/25)*b)\/b)\/b)\/((b*(b*b\/(b*b\/(b\/(b\/b**(2\/11))*b)))\/b)\/b))**(-12\/7) assuming b is positive.\nAnswer: b**(-4441512\/113575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -599 - 587 + 1189 + 109*h**2 as g + q*h**2 + o*h and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2 - 6. Let u(q) = q**3 + 3*q**2 + 43*q - 1 - 41*q + c. Let d be u(-2). Solve -4*h = -2*r - 18, -4*r - 9 = -7*r - d*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(3\/(-222)*-2). Solve -n + 21 = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2*n = 20, -3*n = 1927*o - 1931*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2301 and 564453.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72.6 - -60. Let i = x + -2.4. Let m = i + 14.9. Which is the nearest to -1? (a) 0 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 9:55 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k - 114 + 338 = 0. Suppose -17*r = -k*r - 192. Suppose 4*j + 0*j = r. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 0 - 9 - 3*a - 22 + a.\nAnswer: -4*a - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 448634844 divided by -3924\nAnswer: -114331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 527.\nAnswer: 526.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 9:49 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.1653686.\nAnswer: 0.0826843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 + -450?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 44. Let r be w(18). Suppose -216 = 6*p - r*p. 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: Calculate the greatest common divisor of 4303052 and 21892.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-22))\/(2\/(-7)*1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5909 + 0.59093729. What is m rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 339485 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 1197 + 28609 = -13578. Is l a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/7)*d\/(d*(d\/(d\/d**8))\/d)*d)\/(d**6\/d**(-6)))\/((d**1\/d*d)**(2\/57)*(d\/d**(-2\/5))\/(d\/d**(-1\/6))) assuming d is positive.\nAnswer: d**(-24867\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.8. Let t = v - 2.2. Let p(j) = 2*j**3 - 31*j**2 + 44*j - 25. Let l be p(14). What is the fourth smallest value in t, l, -1, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**3\/3 - 6*i**2 + i - 2. Let k be x(12). Let j = 15 - 11. Solve r = -g + k, g + 4 - 20 = -j*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 38, 79, 136?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5116 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*(12\/32)\/((-2)\/8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c = 22*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**3 + 20*h**2 + 3*h**3 - 45*h**3 - h**3 + 30*h**3.\nAnswer: -6*h**3 + 20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2816062 is divided by 32368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6966\/3096*-2*2\/(-30)*20\/24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -9*q**2 - 4*q + 3. Determine r(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-43)\/(43\/(-6)))\/(6\/4). Let z(k) be the first derivative of 1\/4*k**v - k**3 - 4*k - 1\/2*k**2 - 17. Calculate z(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205709588?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 9825*p**2 - 610308*p - 600480.\nAnswer: 3*(p - 3336)*(p + 1)*(p + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**21*t**13 assuming t is positive.\nAnswer: t**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97557*k - 97634*k + 6314 = 0 for k.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or -25?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/7 + 2*z**3 + 30*z**2\/7 + 26*z\/7 + 8\/7.\nAnswer: 2*(z + 1)**3*(z + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 127*d - 5*c = -345, -3*c + 43 = 4*d - 4*c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151, 4, 16, 2, -20, 14 in decreasing order.\nAnswer: 16, 14, 4, 2, -20, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 251\/301 + 1\/43. Let y = -0.68 + -4.12. Let w = y - -5. Sort 7, w, u in decreasing order.\nAnswer: 7, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8565 - 4?\nAnswer: -8569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x + 4. Let z(k) = 7*k - 3. Let o(j) = 2*v(j) + 3*z(j). Let c(i) = -10*i + 2. Determine 5*c(y) + 7*o(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 25*z. Let l(u) = 2*u**2 + 10. Give l(b(s)).\nAnswer: 1250*s**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyqyczc. Give prob of sequence zc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -623 divided by -43\nAnswer: 623\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5644880 is divided by 1652?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 6 - (-33 + 1). Let s = n + -33. Let f = 613 + -41069\/67. Is s greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 8*q**2 + 7*q - 5. Give b(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*t - 5*o, 4 = -20*t + 1078*o - 1074*o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) -10 (c) -7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15500.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*i = 56*i - 315 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -20 (b) 0.07 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 1202. Let u(r) = 252241*r. Give l(u(x)).\nAnswer: -127251044162*x**2 + 1202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 69 (b) 2 (c) 0.4 (d) 18 (e) -0.4 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 2*m + w, m - 114 = -0*m - 4*w. Let b = 684 - 357. Suppose 39 = -324*x + b*x. What is the greatest common divisor of m and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518310771?\nAnswer: 3, 11, 15706387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 10. What is the derivative of 3*z + p*z + 2*z - 5*z - 6 wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((8 - 3) + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9423.\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75 + -37. What is the greatest common divisor of 95 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let n be (-3)\/(0 - -2 - 1). Let o = 3 + n. What is the nearest to s in -3, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2539459*q*y - 745091*q wrt y?\nAnswer: -2539459*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 10*m**2 + 1\/490*m**7 + 0 + 1\/784*m**8 + 0*m**4 + 0*m**6 + 0*m**3 + 0*m**5 + 0*m. Factor k(t).\nAnswer: 3*t**4*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-48)\/(-36)))\/(-2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 10:57 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 265961 = -4*j, -5*h + 443249 = -5*j + 8*j. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d + 169 = 94. Sort d, -127, 4 in increasing order.\nAnswer: -127, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7712 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-24)*(-120)\/(-150))\/((-3)\/54)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227, -460, -2837, -7750, -16045, -28568?\nAnswer: -46165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 19 + 25. Let l(s) = s**3 - 10*s**2 + s - 8. Let g be l(10). Let w = 4 + g. What is the remainder when i is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34763809?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -2\/7 (b) 42 (c) 5 (d) -1\/25 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00372597149 rounded to four decimal places?\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19020)\/(-480) + -37 - (-3)\/8. Factor -6\/5*d - 12\/5*d**3 + 0 - 3\/5*d**4 - l*d**2.\nAnswer: -3*d*(d + 1)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*x - 4*h, 0 = -1044*x + 1051*x + h - 33 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -7*x**4\/12 - x**3 + 6*x. Find the second derivative of w(g) wrt g.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*c = -2*c + 10, -2*y + 5 = -c. Suppose -4*j + 12 = -y. Let m = 0.1 - -0.1. What is the smallest value in m, j, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2281650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2\/13, 0.3, -1\/12 in descending order.\nAnswer: 0.3, -1\/12, -2\/13, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 8*y**2 - 8*y + 5. Suppose 20*k - 1671 = 5*k - 1386. Calculate the remainder when m(5) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/4 + 712863*z**2 - 2032691775621*z\/4 - 2032697478529\/2 = 0. What is z?\nAnswer: -2, 1425727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*f - 3*j, 2*f = -2*j - 11 + 5. Suppose -4*t**3 + 207*t**5 - 4*t**4 + 2*t**2 + f*t**2 + 2 - 208*t**5 + 5*t = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let p = y - -1. Let j = p + 1. Solve -28 = 5*f - j*l, -3*l + 7 = -3*f - 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w + 2 - 759*w**3 + 11*w**2 + 757*w**3 + 5*w**2 + 9*w + 15*w in the form i*w**3 + u + b*w + g*w**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 + 7*d**2 - 20*d + 3. List the prime factors of l(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {q: 1, t: 4, w: 2, n: 3, h: 6, m: 2}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-2))*(-10)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*h**2 - 2 + h - 4*h**2 + 6*h**4 + 2*h**3 as m*h**2 + o*h + y + f*h**3 + z*h**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -111090.4903382 and 1.8.\nAnswer: -111088.6903382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -406664*i + 8. Suppose 14*v - 12*v = 4. Let d be 2 + v\/(-9) + (-387)\/81. Let h be n(d). Round h to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178\/(-26) + 6 + 1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2\/13 + 196602*y\/13 - 1769256\/13 = 0.\nAnswer: 9, 98292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010000001010 - 1001101001111?\nAnswer: 10001000010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22 + 245*c + 51*c**2 - 20*c**2 + 99*c**2 + 142 + 5*c**3.\nAnswer: 5*(c + 1)**2*(c + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18665350 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + r + 84. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16168 (base 9) to base 3\nAnswer: -120012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -39*l. Let j(r) be the second derivative of -r**4\/2 - 5*r**2\/2 - 7805*r. Give k(j(g)).\nAnswer: 234*g**2 + 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25\/9 in 3, 0, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 6) in base 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4260*i**3 + 5*i**2 - 7*i + 302. Let a(k) = -1420*k**3 - 2*k**2 + 2*k - 86. Determine -7*a(p) - 2*l(p).\nAnswer: 1420*p**3 + 4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234381 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 0.06 (c) 1\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/180*-190*790\/1501\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-99)\/(-4) + 6\/24. Suppose 0 = -3*z - 6, 3*l - z - i = z. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 18*f - 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (32 - 30)) + -24?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-63)\/(-42))\/((-6)\/(-8))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 8*r**2 + 190*r + 396.\nAnswer: -2*(r - 9)*(r + 2)*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40, -263, -862, -2023, -3932, -6775, -10738?\n\"Answer: -31*r**3 - 2*r**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/((-13)\/897). Suppose -132 = -27*k + i*k. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, 11, 136.51?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -68, 2\/17, 5 in increasing order.\nAnswer: -68, -3, -2, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 9 - -17 - 58\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.07, 0.5, -17.251, -1\/3, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.5416013 seconds in weeks?\nAnswer: 0.00002735053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**3 - 8*u**2 - 200. Let a(l) = -4*l**3 - 5*l**2 - 133. What is -8*a(b) + 5*g(b)?\nAnswer: 2*b**3 + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 0. Let h = -11.6 + 62. Let v = -50 + h. Sort -1\/3, w, v in decreasing order.\nAnswer: v, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - -2. Suppose -3*o + o = -b. Solve -4*u = -5*m + 17, 3*m + 0*u - o = 3*u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*q - 11*q**4 + 13*q + 13*q**4 - 2*q**3 - 2*q**2 - 40*q + 2 to the form n*q + m + v*q**3 + i*q**4 + y*q**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 4:37 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 19*d - 11. Let t be u(10). Let f = t + -76. Calculate the least common multiple of 10 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -42*y**2 + 2396*y - 78. Determine a(57).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31309404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12788 - 128490 = 83332*t - 84743*t for t.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2132.2 - 2132. Which is the third smallest value? (a) 6 (b) -0.19 (c) p (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 17 = -m, -2*b + 30 = 3*m + 42 + 25 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r + 3. Give v(7).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1291 and 436 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.26404502484 and -0.1484?\nAnswer: 3.11564502484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 3*s - 9, 15*r - 20*r - 9 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/98 and -163\/1386.\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/45*21*1. Let v(f) = 2*f - 8. Let u be v(o). Let y(c) = -c + 12. Give y(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(5)*-1)*-1)**2*3.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17438167?\nAnswer: 73, 238879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/10452 and 115\/5226.\nAnswer: 10452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 381 and 3.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 13*y - 8. Let o be p(-14). Suppose -2*q = -o + 2. Let t(m) = 3*m**q - 4*m + 7*m - 3*m. Let z(v) = 5*v. Calculate z(t(l)).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 835402100 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*o - 24*o + w = 56546, 3*o = -5*w + 42401. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 9*w - 9. Let d be n(-7). Suppose -4*i = d*y - 22, -5*i - 3*y = -8 - 13. Solve -2*g + 14 = -4*v, i*g - v - 8 = -2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1280 + 1472696035.\nAnswer: 1472694755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -454, -939, -1436, -1951, -2490, -3059?\nAnswer: -3664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -2*d - 1\/5*d**5 + 259 + 1\/2*d**4 + 183\/2*d**2 + 0*d**3. Find the second derivative of c(m) wrt m.\nAnswer: -12*m**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-21))\/((273\/728)\/((-36)\/(-16)*1))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 - 4*h**2 + 2*h + h**3 - 2*h**3. Let c(r) = 5*r**3 + 5*r**2 - 3*r. What is 3*c(p) + 4*w(p)?\nAnswer: -p**3 - p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -1566425932269?\nAnswer: 1566425932268.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {c: 1, a: 1, e: 1, k: 2, b: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34715 - 17.\nAnswer: -34732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -349800045 or -349800046?\nAnswer: -349800045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34755\/8 - -4344. Which is the closest to -0.06? (a) -1 (b) 3\/5 (c) 6 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -136*b + 3. Is k(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*r + 24, 5*k + 15 = 1095*r - 1095*r. What is the lowest common multiple of r and ((-16)\/10)\/((-10)\/25)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dthhbuthhb. Give prob of picking 1 d and 1 h.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -12988 (b) -1\/4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 691 - 696. Let o be (-9)\/6*36\/27 - h. Solve o*c + 120 = 117 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1\/2, 3, 71.\nAnswer: -8, -1\/2, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*b + 4*b + 4*r, 4*b = 2*r - 8. Let f(m) = -17519*m**3 - m**2 - 7*m - 6. Is f(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i - 1. Let l be x(1). What is the tens digit of 0 + l\/2 - -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-5) - 0\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94468 - 31646832\/335. Find the common denominator of x and -47\/402.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 943.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1.6011, 1\/3, 0.5?\nAnswer: 1.6011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3373 or 350867\/104?\nAnswer: 3373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 9*l - 13. Let f be h(-11). What is the common denominator of 0 + (-1 - 61\/20) and ((-3)\/f)\/(28\/18)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 0*q**4 + 6*q**2 + 1\/20*q**5 + 0 + 0*q**3 + 0*q. Let i(w) = -9*w. Calculate u(i(x)).\nAnswer: 243*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 172 = 4*r, -4*g - 152 = -5*r + 50. Let c(d) = 27*d + 6 + 19*d - r*d - 27. What are the prime factors of c(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 319?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6067\/5214 + 28\/237. What is the common denominator of w and -85\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1075 smaller than 10.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (3 - (-5 + 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 6 - 6 + (i + 0*i + 0*i)*(5 - 1 - 3) + 3*i - 3 + 3 - 3*i + 3*i + 18*i + 2*i - 2*i - 2*i in the form z + m*i and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 a, and 1 r when three letters picked without replacement from babdrrjbbddrdbb.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a centimeter in millimeters?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - 3. Let s = a + 29. What is the greatest common divisor of 40 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.9 - 22.763. Let w = -0.093 - l. Suppose 3*s + 32 = -5*x, 4*s + 34 = -5*x - 2. Which is the second biggest value? (a) 1 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from ttyyyyyy.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 - 237*l**2 - 4797*l - 4563.\nAnswer: -3*(l + 1)*(l + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 54, 157, 344, 639, 1066?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 98022 (base 16) to base 2\nAnswer: 10011000000000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-91 - (-94 + 60))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2149?\nAnswer: 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1101463172.\nAnswer: 2, 53, 683, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*j**2 - 4\/3*j + 0 = 0. What is j?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8005 and 43227?\nAnswer: 216135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-6)*((4 - 5) + 4). Suppose 5*q - r + 15 = 0, 2*q = 4*q + r + 6. Let m be -2 + 6 + -2 - q. Solve -d = -m*d - x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 - 43*r + 64. Let b be u(9). Is b at least as big as -2\/911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + x + 85. Is l(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.459359l to millilitres.\nAnswer: 8459.359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1155*d**4 - 278 wrt d.\nAnswer: -4620*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -57. Let l = -52 + 84. Let u = a + l. Put -1, u, 3 in ascending order.\nAnswer: u, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(77)*2 + ((sqrt(77) + sqrt(77)*-2)*2 - sqrt(77)))\/((sqrt(378)*-2)\/(6*sqrt(54))).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + j + j)*(134 - 72 - 20) as g*j + f and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*d - 1325 = 4*d. What is the lowest common multiple of 90 and d?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252280 is divided by 870?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4 + 11*n**2 - 2*n**2 - 19*n**2 + 9*n**2 - 9*n - 4*n**2. Let p(l) = l**2 - 1. Give o(x) + 6*p(x).\nAnswer: x**2 - 9*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/278566 and -49\/124.\nAnswer: 557132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6507256 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2a4 (base 14) to base 5\nAnswer: 4121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 16) to base 9\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.2843 - 10.5843. Let r = 0.38 - -0.02. What is the fourth smallest value in v, -11, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3415 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: What is the lowest common multiple of 187 and 8228?\nAnswer: 8228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8238936 minutes to seconds.\nAnswer: 49.433616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**9\/10584 + f**7\/1470 - f**5\/420 + 10*f**3\/3 + 14*f. Let q(s) be the second derivative of b(s). Factor q(r).\nAnswer: -2*r*(r - 1)**2*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 464*m - 464*m + 55*m**2 in the form v*m + t*m**2 + l and give t.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by 411.\nAnswer: 46\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.05 (c) 4 (d) 2\/24303 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519937 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1423 = -185*j + 319 - 661 + 954 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -598\/1005?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 7:46 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 + -15 + 42 + -17 + 4 + -10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 50*a + 755. Calculate the remainder when 27 is divided by u(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-2))\/(2 + 36\/(-16)). Put 5, b, -3, 3 in descending order.\nAnswer: 5, 3, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 0*j**2 + 0*j + 20 + 1\/2*j**3. Factor c(q).\nAnswer: 3*q**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:10 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(240)*1)\/sqrt(5))**2.\nAnswer: 24*sqrt(3) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 235966 and 7.\nAnswer: 1651762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 0 + 9*q + 3*q**2 - 9 - 2*q**2. Let d be l(-10). Let h = -4 + 3. Is d at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, 0.2, 224, 0.3, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 62*x**2 + 608*x + 56. What is the thousands digit of p(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 - 36984*h\/5 - 628439\/5.\nAnswer: -(h + 17)*(h + 36967)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 155, 263, 397, 557?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 51)\/(0 - -1). Suppose -4*x - 143 = -2*f + 47, 0 = f - 4*x - 105. Let p = r + f. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 4*o + 2*o. Let p = 27 + o. Calculate the remainder when 26 is divided by p\/((-2)\/(-7) - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147693695 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 8, q: 2}. What is prob of picking 3 j and 1 q?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + w - 6*w = -80, -w - 32 = -z. Let t = 31 + -1. Suppose 5*u - z = -g - g, -2*g = -5*u + t. 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 the greatest common factor of 2876 and 830948300?\nAnswer: 2876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q + 2. Let v be r(-2). Let i = v - 5. Suppose 0 = -i*a + 7*a - 48. What is the remainder when a is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12438121, -24876236, -37314349, -49752460, -62190569?\nAnswer: -74628676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Let r be (-15)\/10*4\/(-3). Let s = r + a. Solve 0 = -s*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -65)\/((6\/2)\/(-3)). What is the derivative of -23 - m + 53*p - 64 + 2*p**2 wrt p?\nAnswer: 4*p + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145800 and 8667?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -11*t**2 + 11*t - 11. Let i(s) = 2*s**2 - 7*s + 5. Let p(x) = 4*x**2 - 22*x + 15. Let l(j) = -7*i(j) + 2*p(j). Determine -11*l(n) + 5*z(n).\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-10))\/((-3)\/(-5)). Let t = 29 + -30. Suppose -b + 3*b - 2 = 0. Sort t, k, b in decreasing order.\nAnswer: b, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50 and -117?\nAnswer: -5850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4227, 13814, 23401?\n\"Answer: 9587*s - 5360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 2*v + 7. Let h be q(0). Let f(r) be the second derivative of -r**5\/20 + 2*r**4\/3 - r**3\/6 + 2*r**2 + r. What is the units digit of f(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13903.7 - -13904. Which is the closest to -0.2? (a) -5\/3 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnn. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + o + 2. Give c(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = h - 2. Suppose -2*d + h*d = 0. Solve -3*g + 2*g = d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27162 - -39618. Calculate the greatest common divisor of 72 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-90 - 138 + 228 - 3268*z).\nAnswer: -6536*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20705 and 4?\nAnswer: 20709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z + 4*p - 10 = 0, 4*z + 2 = 5*p. Suppose 2*o = -3*y + 1, 2*y + o = 6*y - 16. Suppose 0 = 2*v + v - y. Put 4, z, v in ascending order.\nAnswer: v, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 13) to base 8.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 7:49 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(891) + -2 - 4*sqrt(891)*-5)**2 + -2)*1*2 + -4.\nAnswer: -1368*sqrt(11) + 643302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -245.4 + -489762\nAnswer: -490007.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a = 18*a + 208. Solve 3*t = -2*z - 0 + 11, -2*z - 4*t = -a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1110, 1007, 902, 795?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**3 + 300*g**2 - 935*g + 630 = 0.\nAnswer: -63, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298534 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 7*z**2 - 20*z - 8. Let j be t(-9). Suppose -5*c + 5 + j = 0. Let q be 4\/c + 53\/3. What is the highest common factor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3720 and 4491156.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1345\/28 or -49?\nAnswer: -1345\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mtmlttltlt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -321950 + d + 322110 + 251*d**4 - 3*d wrt d.\nAnswer: 3012*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.4 - 47.4. Which is the closest to 2\/7? (a) 3 (b) 1 (c) 20 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Let p = -11 - -14. Factor -y*r**4 - 4*r**p - r**2 + 3*r**3 + 3*r**4 + r.\nAnswer: r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqqqqqqqqqqaaqqqqa?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 394671 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**3\/3 - 2*i - 2. Let m(n) be the first derivative of d(n). Let z(k) be the first derivative of k**3 + 3. What is m(z(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 5*f**2 + 3*f - 3. Let h(c) = c**3 - 6*c**2 - 3*c + 4. Let p(z) = 6*h(z) + 7*i(z). What is p(3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(209)*1 + (sqrt(209) - 5*(sqrt(209) - sqrt(209)*-2)))\/((sqrt(66) - (sqrt(66) + 5*sqrt(66)*-3))\/sqrt(6))*4)**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2 + 2)*(5 - 4*x - 5) + 5 + x**2 - 12 + 18.\nAnswer: 5*x**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 11) in base 4?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32646633?\nAnswer: 3, 10882211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 640722168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 3\/((-3)\/(-7)). Let y(f) = 14*f - 3. Let x be y(2). Suppose 0 = n*d + 3*k - 69, -d - 5*k + x = -2. What is the remainder when 35 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b - 552. Let x = b - 51. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4744, 4760, 4776, 4792, 4808?\nAnswer: 4824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*k*v**3 + 4*k*v + k + 20729*v**2 - 5619*v + 2 wrt v.\nAnswer: 174*k*v + 41458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - k + 17 = -17*v, 4*k = 4*v + 36 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (4 + -2 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13))**(3\/4)\/(g*g**(-1))**47 assuming g is positive.\nAnswer: g**(-3\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g + 1. Let a(d) = -2*d**2 + d. Let t be a(1). Let l be 2 - 3 - (t + 1). Determine r(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 849828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2182, -2173, -2158, -2137, -2110?\n\"Answer: 3*j**2 - 2185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-1))**12)**(-40))**30)**45 assuming g is positive.\nAnswer: g**648000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 10:12 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 3*s**2 - s - 6. Let t be p(4). Suppose a = -0*a - 3. Let x = a + t. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 4250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1243\/5499 + -2\/423. Let o = 11\/3 - 86\/21. Which is the nearest to -1? (a) s (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 4\/7 (c) -1 (d) 2.4 (e) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -24*m**3 - 5*m**2 + 5*m. Suppose -238 + 70 = 21*w. Let u(g) = 36*g**3 + 8*g**2 - 8*g. Determine w*f(y) - 5*u(y).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*q**2 - 2*d**3 - 72*d*q - 35*q**2 wrt q.\nAnswer: 4*d**3 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (12 - 6) - -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631300 = -2811*k - 257437 for k.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/5 - 899378*z\/5 - 202220196721\/5 = 0. Calculate z.\nAnswer: -449689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11277 - 11276.6. Which is the nearest to 4? (a) i (b) -0.2 (c) 0.86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -3.62.\nAnswer: 0.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 + 9*h + 9. Let s(g) = -g**2 - 27*g - 143. Let z be s(-19). Let v(u) = u**2 + 4*u + 4. What is z*v(f) - 4*w(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-411*1\/36)\/(52\/8) and ((-348)\/234 - 1) + 1*2?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2. Let n(m) = -242*m + 7745. Let v be n(32). Let z(x) = x**3 + 6*x**2 - 8. Determine v*z(s) - 6*a(s).\nAnswer: s**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 - o + 8. Let m be k(0). Let i be (m\/(-10))\/(26\/(-715)). Do i and 22 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23325)\/(-311))\/(18\/12).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5935\/4*b**4 + 14161\/4 + 175223\/2*b**3 + 25\/4*b**5 - 127687\/4*b + 107279\/2*b**2 = 0. What is b?\nAnswer: -1, 1\/5, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -801*u + 2*u**2 - 25*u - 2*u**2 + 2*u**2 - 604*u.\nAnswer: 2*u**2 - 1430*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 5*o = -19, 4*o + 478 = 490 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/3 - 26*l**4\/3 - 15*l**3 + 24*l**2 = 0.\nAnswer: -24, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-19 - (7 - (-9 + 7) - 11)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 + 1 = 2*z, 0 = 4*t - 12. Which is the second smallest value? (a) 0 (b) z (c) -6\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3 - 7. What is the least common multiple of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -8, 7, -38, 3 in decreasing order.\nAnswer: 7, 3, 2, 0, -8, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12011313020 (base 4) to base 15.\nAnswer: -218232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6504 = 533*x - 29451 + 8239 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.3104747.\nAnswer: 1.2418988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 71\/3*y**3 + 0*y**2 + 0*y**6 + 0*y**4 - 57\/7*y**7 + 43 + 0*y**5 + 0*y. What is the third derivative of g(v) wrt v?\nAnswer: -6840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145 - 141. Sort -1, a, -5, 3 in ascending order.\nAnswer: -5, -1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**50*(a\/(a\/(a\/(a**(-2\/7)*a))))\/a**4 assuming a is positive.\nAnswer: a**(-726\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/2 (c) 2\/13 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 295859 and 0.1.\nAnswer: 29585.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 92929.83 years?\nAnswer: 92.92983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.999816612 to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p - 29. Give c(-17).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -7053 in descending order.\nAnswer: 4, -4, -7053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -37. Let i be 3 - -3*3\/(-9). Suppose -r = -v - 7 + 1, -i*r + a = -3*v. Solve r*c = 3*d + 18, -5*d = 4*c + 5 + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7169371?\nAnswer: 11, 193, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 12*u. Let o(x) = 440601*x**2. Determine j(o(d)).\nAnswer: 5287212*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(378)*-3)\/sqrt(6).\nAnswer: -9*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**3\/3 - m**2\/2 - 2*m + 17. What is the hundreds digit of l(-22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - (772\/6 + 0)*-15?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 23, 0, 1163, 145 in decreasing order.\nAnswer: 1163, 145, 23, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let j be (-2 - 0) + (y - -5). Suppose 0 = -2*t + j*h + 10 + 18, -4*t = 3*h - 12. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f4 - 3eab3?\nAnswer: -3e6bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.3209 or -2\/3?\nAnswer: 1.3209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 0.342.\nAnswer: 0.542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 6 = -t. Let j = 1 + -3. What is the second smallest value in t, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348 - 514*r + 255*r + 308 + 257*r.\nAnswer: -2*r - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432192 smaller than 3432191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171 - 172.1. Which is greater: y or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85326 - -85331. Solve -1\/4*q**r + 3\/2 - q**4 + 17\/4*q + 7\/2*q**2 + 0*q**3 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkpkpkk. What is prob of sequence kk?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.046 <= -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -42, -4, 0 in decreasing order.\nAnswer: 5, 0, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (2 + -3)\/(-3 + 4). Factor -71 - 5*l**a + 0*l**2 - 26*l - 24*l - 9.\nAnswer: -5*(l + 2)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5865828 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/13, 29, -4, -1?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + (sqrt(60)\/sqrt(10)*6)\/((sqrt(18) - sqrt(18)*5)\/sqrt(9)))**2 + -1.\nAnswer: 55\/4 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3449, -3446, -3441, -3434?\nAnswer: -3425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -332.836 + 838007.836. Let g = u - 837684.00026. Let i = -9 - g. Round i to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (819 + 2117 + 3941 + 2138 - 1907)*(2*p + 1 - 1).\nAnswer: 14216*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 8*p**2 + 16*p - 5. Let l = -4 + 4. Suppose -6*h + 1 + 41 = l. What are the prime factors of g(h)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -554580000 rounded to the nearest 1000000?\nAnswer: -555000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 2*p + 1. Let s(g) = 0*g**2 + 3 - 3*g**2 - 2 - 2*g. Let c(n) = -n**3 - 4*n**2 - n. Let j be c(-4). What is j*i(f) - 3*s(f)?\nAnswer: f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0377098923 rounded to 3 dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 6:29 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**4 + 10*v**3 + 14*v**2 + 4*v + 2. Let u = -6 - 5. Let c(z) = 31*z**4 + 49*z**3 + 71*z**2 + 20*z + 11. Let h(m) = u*b(m) + 2*c(m). Factor h(s).\nAnswer: -4*s*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25442 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -17*k. Let g(c) be the first derivative of -8*c**3 - 1280. Give a(g(y)).\nAnswer: 408*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 790223 - 0?\nAnswer: 790223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1787, 1789, 1791, 1793?\nAnswer: 1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 39. Let g be -2*5\/i - -3. Solve 2*q + 9*s = 4*s - 15, g*q - 2*s - 20 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -12*f - f**2 - 1 + 0*f**2 + 0*f**2. Suppose -4*q - 52 = 2*u, 5*q + 23 = u - 28. Is b(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) -12\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27\/(-36))\/((-9)\/(-8))*3. Let r be ((-1 + 3)*-1)\/(g\/4). Calculate the highest common factor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*d - 414*d**2 - 6*d - 236*d**2 - 2*d as k*d**2 + t*d + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4 - 136*a**3 + 6072*a**2 - 84640*a - 194672 = 0. Calculate a.\nAnswer: -2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -196239547\/468 + 419315. Find the common denominator of x and 49\/(-6) + (-2 - -2).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-20)*g*g**(3\/4)*g**(-19\/3)\/g*g*((g*g**(-36)\/g*g*g*g*g)\/g)\/g assuming g is positive.\nAnswer: g**(-703\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-104)\/(-10) + (-6)\/15. Let t(r) = 4*r - 13*r + y*r. Let l(d) = -6*d**2. Calculate t(l(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 279972?\nAnswer: 1\/279972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 - 81. Let h be 3*-1 + (-5)\/f*-8. Let q be (6\/9)\/2*0. Solve q = -3*b - 2 - h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3279 + 17532. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 11:36 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -243501 (base 6) in base 15?\nAnswer: -65ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 9:10 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43331 - -43336. Solve 5*i + 2*j + 15 = -j, -a*j = -i + 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3330 = 2*n - 3*k, 4*n - 5*n + 4*k = -1655. List the prime factors of n.\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -21*u**2 + 5*u + 1. Let h(d) = -d**2 + d. Let f = 1087 - 1086. What is f*g(k) - 5*h(k)?\nAnswer: -16*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = 3*i. Suppose 0 = 3*f - i*b - 10, -4*f - f = 2*b + 4. Suppose f*k = k - 11. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-609)\/(-116))\/((-34)\/(-24) - (-4)\/(-6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37b46 (base 12) in base 11?\nAnswer: -52069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39963 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24304*u - 22436*u - 11229*u.\nAnswer: -9361*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(4)\/sqrt(2) + -4 - sqrt(2))*1 + -1*sqrt(72) + 1 + 2.\nAnswer: -6*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 14*f**2 + 14*f - 10. Let i be t(13). Find the second derivative of -2*l + 4*l**3 - 2*l - i*l**3 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3049740 and 1620.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 + 2 - (14 - 10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 3, q: 2, l: 1, v: 3, p: 3}. Give prob of sequence pv.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:47 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:57 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 3. Let m = 30 + -18. Let p = m + -8. What is u(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-437)\/(-483))*-21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3895 - 12?\nAnswer: -3907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49091, -49280, -49469, -49658, -49847, -50036?\nAnswer: -50225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnn. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*-4*(-2*sqrt(320) + -3) + -2)**2.\nAnswer: 156160*sqrt(5) + 2062884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -721.\nAnswer: 12978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**4 + 3*o**4 + 2*o**4 + (-5*o + 0*o + 4*o)*(4*o**3 + o**3 + 3*o**3) + 4*o**4 - 6*o**4 + 4*o**4 + o**4 + 11*o**4 + 7*o**4.\nAnswer: 15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*c = 90*c + 22120. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200 + 0.794.\nAnswer: 200.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 34*n = -30*n + 108, 259*n + 6730 = -2*v - 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 7. Let j be (258\/(-16))\/(w\/4). Let b = j - 10. What is the biggest value in -2\/3, -1\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -12. Let l(s) = s**2 + 7*s - 13. Let j be l(n). What is the highest common divisor of 45 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185410 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17773869287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -44688 rounded to the nearest 1000?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71835 is divided by 2175.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzh when three letters picked without replacement from wwzhzhhwh?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1143 + -1.\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -14. Which is the third biggest value? (a) 4 (b) -0.3 (c) 2\/7 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77\/54 - -2\/27. Let i = -282 - -281.6. Which is the closest to w? (a) -1 (b) i (c) 0.5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1)\/w)**1\/(w**3*w**(5\/6)))\/(w*w**(-4\/9)*w*w**10)**(-3) assuming w is positive.\nAnswer: w**(173\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, s: 4, j: 5, e: 2}. Give prob of picking 2 s and 2 w.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m - 4*m + 7*m as x + n*m and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 2. Let u(z) = -4*z + 7. Let q be 1\/(-3) + (-15)\/9. Suppose -451*j + 467*j = -112. Determine j*m(g) + q*u(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-3)*(-18)\/(-12). Let v be (-2)\/(1\/(-2)*d). Calculate the common denominator of 2\/3 and 6\/138*(v - -27).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d**3 + 4*d**3 + 2*d**3)*(28966 + 28937 + 11*d - 57542) to the form p*d**3 + v*d + f + z*d**4 + s*d**2 and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**3 - 8*m**2 - 2*m + 19. Give a(-2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2660535.99s in days?\nAnswer: 30.793240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-180)\/((-540)\/27)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**5\/12 + 7*b**4\/24 + b**3\/6 + 21*b**2. Let k be r(-2). Let d(p) = -p**2 + 6*p. Let v be d(6). Sort v, 5, -1, k.\nAnswer: -1, v, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*h = -7, 4*k + h - 9 = 2. Let x be 1\/(k\/(-28) + 0). Are -5 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -714.\nAnswer: 71.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/4)\/((-18)\/(-48)). Suppose 4*a - v*m = 44, -a - 3*m - 53 = -6*a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from chchhhyhcchhyyhhhhy?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**5\/20 + 7*l**4\/6 - 7*l**3 + 25*l**2\/2 + 4372*l. Determine i(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*m - z, -3*m - 4*z + 28 = -0*m. Let x = -9\/7 + 41\/21. Is x > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*z + 1 + 31*z + 28*z + 2*z**3 - 3*z**4 - z**4 + 7 to i + h*z**4 + s*z + j*z**3 + f*z**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2332, 2, -4, 25, 4 in ascending order.\nAnswer: -2332, -4, 2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2. Let u = 9 + -5. Let o be (-27)\/45 + u\/(-10). Let z(p) = 6*p**2. Determine o*z(s) - 9*j(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/8*(-7)\/((-21)\/(-356)). Let q = 1149 + k. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 - 0 - (-29 + 4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13851499 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6\/11)\/v*(v**(-9)\/v)\/v)\/(v**(-1\/7)*v\/(v\/v**(-3\/5)))*v**8*v*v*v\/v**(-1\/3)*((v**(-6)\/v)\/v)\/(v**(2\/11)*v) assuming v is positive.\nAnswer: v**(-11147\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5292.7 + 5293. What is the third biggest value in 3, 3\/8, 2\/3, z, -71?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -4, 5, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 12:47 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5942?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 3*k**2 - 12*k - 10. Suppose 0 = 2*j, -31 = 3*o + 5*j - 46. Calculate y(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56256588 - 403256283 = -507*z + 258840726. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -2*m + 5*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r - 15. Is (-6)\/9 + 653\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225 - 20\/40*2\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/6 - (-6)\/(-18). Suppose 0 = -k*v - v. Let z be v - (-1 - (-2 - -3)). Solve n + 6 = -z*f - 0*f, 5*n = -2*f - 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 67 and 0.0511.\nAnswer: 3.4237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 29 (b) 6 (c) -0.0378 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -13 - -3 - 1 - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 245492 - 0.1?\nAnswer: 245491.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92*j**4 + 7 - 19*j**4 + 2*j**3 - 2*j**3 - 2*j**2 wrt j?\nAnswer: 1752*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5\/2, -3\/11, 0.5, 1?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772*q - 12 - 13 + 748*q + 27.\nAnswer: -24*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 14 - 64. Let g = -1118 + 1768. Calculate the greatest common factor of r and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**2*m**3 + 2516*l**2*m**2 + 4*l*m**3 + l*m - 269*m**3 - 31*m**2 wrt m?\nAnswer: 6*l**2 + 24*l - 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5932*r**3 - r**2 + 5933*r**3 - 522 + 2*r**2 in the form o*r**3 + z*r + q*r**2 + n and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g**2 - 10*g - 159. Let v(r) = 5*r**2 - 5*r - 76. Calculate -4*i(n) + 7*v(n).\nAnswer: -n**2 + 5*n + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4868830 = -40*p + 15416650. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 0*h**5 + 0*h**6 - 22\/3*h**3 + 0*h**2 - 5\/42*h**7 + 0 + 1\/2*h**4 - 11*h. Find the second derivative of z(t) wrt t.\nAnswer: -100*t**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -3*c - 35, -57*m + 56*m = -5*c - 21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + 1*(sqrt(76)*-2)\/sqrt(4) + 1 + 0 + sqrt(2736))**2.\nAnswer: -160*sqrt(19) + 1964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(3\/6)\/(-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-12)\/(-4))\/(267096\/(-29680) - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -2412?\nAnswer: 2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/3)*n**3)\/(n*n\/n**(1\/3))**(-2\/51) assuming n is positive.\nAnswer: n**(724\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -976, -978, -980, -982, -984, -986?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15520 or 15513?\nAnswer: 15513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 + -147.4. Round n to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 91901, 183804, 275707, 367610, 459513, 551416?\n\"Answer: 91903*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10334 (base 5) to base 13.\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187 - 181. Suppose -4*p + 4*j = -2*p + 6, 0 = 2*j + i. What is the nearest to 2\/3 in -1\/2, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -1 (c) -2\/7 (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = 30. Suppose 4*h - z - 34 = 0. Calculate the remainder when h is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33686 is divided by 802.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fkqwcfjfwckqjjkwjk?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:50 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoza when four letters picked without replacement from {r: 1, z: 2, o: 2, a: 2, s: 1, h: 5}.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41455 - -12.\nAnswer: 41467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10868 - 358624\/33. Let s = -658 - -1347\/2. What is the common denominator of s and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*j - 17*j = 420 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) -0.03 (c) -1\/3 (d) 310 (e) -2 (f) 1\/101 (g) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o - 5. Let i(z) = 767*z - 258*z - 35*z**2 - 254*z - 255*z. Calculate a(i(m)).\nAnswer: 175*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 8.4.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4868, 19425, 43670, 77603, 121224, 174533, 237530?\nAnswer: 310215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 12:57 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*o - 1503 - 576 = -803 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 7*s - 6. Let j be i(8). Suppose -3*m + j*v + 16 = 0, -4*v = -m - 2*v. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 1078.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.211 minus -497?\nAnswer: 496.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -1688.\nAnswer: -50.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 24*c**2 + 24*c + 24. Let z be r(-23). Which is smaller: z or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -130. Let x = p + 92. Which is bigger: 1\/3 or x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-20))\/(((-240)\/(-25))\/8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8736 and 13728?\nAnswer: 96096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -88?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 15*u - 14*u + 20 = 0, 15 = 4*n + 7*u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1937.83915 - 0.32?\nAnswer: -1938.15915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 79 - 79 + 36*h. Let u(t) = 5*t. Let n(a) = 6*l(a) - 44*u(a). Let y(o) be the second derivative of -o**3\/6 + 29*o. What is n(y(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-54)\/(-4))\/((-1)\/(-6)) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 48 = 17*w. Put w, 3, 7 in decreasing order.\nAnswer: 7, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 8:07 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3653 - 640 = -1219*b + 1696*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 0.04 (c) 0.4 (d) -3 (e) 87849\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3332 greater than -3335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -429 + 428.7. Put 2, 108, b in decreasing order.\nAnswer: 108, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -0.7, -1.4, 4, -1\/7 in descending order.\nAnswer: 4, -0.01, -1\/7, -0.7, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -107, -277, -541, -893, -1327, -1837?\n\"Answer: t**3 - 53*t**2 - 18*t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 18622.151.\nAnswer: -18628.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -18) + 13 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 11:45 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.735 in 1, -4, 4\/5, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*y + 3*o + 129, 4*y = -3*o + 202. Let w = 73 - y. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 l when four letters picked without replacement from flggfflrrfg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + n - 2 = -n, -n = -4*g + 3. Suppose -v - v = 0. Solve v = -0*l + l + g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37418*u**3 - 20225 wrt u?\nAnswer: 112254*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b*h**4 - b - 2*h**4 - 37*h wrt h?\nAnswer: -48*b*h**2 - 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 - n**2 + n**2 - 19*n + 5803 - 5804 in the form y + r*n + g*n**2 + l*n**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 212 = -8*y. Suppose -12 = -5*d + 4*j + 25, 0 = 5*d + 4*j - y. What is the highest common divisor of 63 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1902853\/171430 - 2\/17143. Find the common denominator of 11\/4735 and m.\nAnswer: 9470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - -7)\/(5 + -3). Let c(s) = -s - 4. What is c(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13825 + 2751181\/199. Let z be (-5)\/((-75)\/45*3). Is v greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 112*r**5 - 220*r**4 - 1248*r**3 + 1316*r**2 + 136*r - 96 = 0.\nAnswer: -3, -2\/7, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322051, -322038, -322025, -322012?\nAnswer: -321999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1060609.\nAnswer: 11, 96419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 5*f**8\/28 + 2*f**7\/21 + f**4\/4 - f**2 - 75*f. What is the third derivative of u(n) wrt n?\nAnswer: 1200*n**3 + 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i\/i**(-1\/2))\/i*i*i**6*((i\/(i*i\/(i\/(i**(-9)\/i)))*i)\/i)\/(i*i*i**(1\/2)*i*i))**(-33\/5))**9 assuming i is positive.\nAnswer: i**(-891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13298, 13256, 13176, 13040, 12830?\nAnswer: 12528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-90)*-9*765\/(-34)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 1, -3, 0.4, -0.47 in decreasing order.\nAnswer: 4, 2, 1, 0.4, -0.47, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 226*b*s**2 + 1171*b + s**2 + 3*s wrt s?\nAnswer: 452*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 15*s + 10. Let v be l(-4). Let m(n) = 4*n + 2*n + n + 10. Let j be m(v). Calculate the highest common factor of j and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*m + 12 + 322*m - 575*m - 11 - 309*m.\nAnswer: -814*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 5.5. Let a = 2 + k. Let c = -205.377 - -205.277. Sort a, 24, c in ascending order.\nAnswer: a, c, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7178, -14310, -21440, -28568, -35694, -42818?\n\"Answer: c**2 - 7135*c - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15265, 30539, 45815, 61093?\nAnswer: 76373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21180 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*r = -2342, 3*r + 354 = -c + 1543. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2. Let f(u) = 2*u - 70. Calculate f(n(w)).\nAnswer: -4*w**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 171*c + 6951. What is v(-41)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c + 32*t = 34*t + 67, -t - 17 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 5, -0.17, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 567659830?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -3\/8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71.1 + -58.62. Let y = 609.48 - d. Let n = -629.9 + y. What is n rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35397679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 378, 808, 1292, 1836, 2446?\nAnswer: 3128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35643, 142650, 320981, 570624, 891567, 1283798?\n\"Answer: -2*h**3 + 35674*h**2 - h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b - 17. Let l(f) = 10*f + 52. Let i(v) = -7*d(v) - 2*l(v). Let u be i(-9). Let r be (42\/24 - -2)*16\/u. Solve r - 1 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1193*k - 7980 = 53*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220485, -440968, -661425, -881850, -1102237, -1322580, -1542873, -1763110?\nAnswer: -1983285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7956*p + 286445. Determine n(-36).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 28 = 8. Let p = 27 + -42. Let w = -11 - p. What is the least common multiple of w and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 436766 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000479313 to 5 decimal places.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:57 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-2532)\/(-32) + 4. Let z = k + -87. Is 0 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4\/3 - 36608*z**3\/3 - 587174*z**2 - 1651680*z = 0.\nAnswer: -45, -3, 0, 18352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056609177 rounded to five dps?\nAnswer: 0.05661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64941?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - 2)*30\/(-12). Find the common denominator of -161\/30 and b\/7 - (-2 - (-12)\/9).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7297 times -2?\nAnswer: 1.4594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*c - 40, 4*c = w + 2*c - 10. Suppose -14 = -2*i + w. What is the remainder when 19 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 14, -35?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -34165 at most -34411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -2*x**3\/3 + x**2 + 2*x. Let h be j(-6). Let l = h - 18. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.5 + -1.9. Let y = -3.6 + g. Let k = 85 - 423\/5. Which is the second smallest value? (a) k (b) y (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106880598 a multiple of 6512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47741?\nAnswer: 47741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 18*o**2 + 12*o + 35. Let n(m) = -3*m**3 - 35*m**2 - 23*m - 69. Let k(j) = -5*f(j) - 3*n(j). Is k(14) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -346690 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 9. Let n(u) = -2*u + 18. Let c(m) = -5*a(m) - 2*n(m). Let i be c(11). Let s(j) = 30*j**2 - 3*j - 5. Is s(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*k + 384*k + 5*x + 73 = 0, -3*x = 2*k + x + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*g - 4*g - 700, 930 = -4*t - g. What is the common denominator of ((-1)\/(-5))\/((-44)\/(-305)) and 8 - t\/(-32)*1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-11))**(-3\/4)*(q**(2\/35))**(-2\/39) assuming q is positive.\nAnswer: q**(45029\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2\/(n\/(n**(-5)\/n*n))*n*n\/n**10*n\/n**(-10)*n*n assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39890)\/(-366988)*(-28)\/5.\nAnswer: -14\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90072434 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1834*m**3 + 274*m**3 - 7313*m**3 + (2 - 2 - 2*m)*(0*m**2 + m**2 + 0*m**2).\nAnswer: -8875*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*f + 23308, 45*m - 58172 = 40*m - 4*f. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 806*z**2 - 1351*z + 1307 + 2755*z - 1402*z with respect to z.\nAnswer: 1612*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**3 + 4*f**2 - 8*f - 3. Let p(j) = 3*j**3 - 3*j**2 + 9*j + 2. Calculate 3*p(u) + 2*v(u).\nAnswer: 3*u**3 - u**2 + 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a - 58*a - 135 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 3*w - 6*w - 11*w + w + 4*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**4\/3 - p**3\/3 + p**2\/2 - 2*p. Let z be c(1). Suppose 0 = -0*t + z*t - 117. What is the remainder when t is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, w: 1, j: 1, x: 7, g: 1, t: 5}. What is prob of picking 1 f and 1 g?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*3\/(-6)*(-30)\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2*5\/120)\/((-299)\/5382)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 + 18049*v + 34 + 33 + 42 + 44.\nAnswer: 18049*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/4*-2*(7168\/(-18480))\/(-32)?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 4*h + 8 - 16, h - 8 = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, n: 1, k: 2, i: 1, c: 3}. Give prob of picking 1 v, 1 c, and 1 n.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s + 7. Let k(g) = -17*g - 21. Give 4*k(t) + 11*u(t).\nAnswer: -2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:54 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158742.66 months to years.\nAnswer: 13228.555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/15)\/(2\/(-5)). Solve 5 = z*x + x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1. Let v(r) = r - r - r - 5 - r. What is -3*d(b) + v(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9239 * 0.06.\nAnswer: 0.115434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/1059581 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 38. What is the least common multiple of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/868506 and -63\/1447510.\nAnswer: 4342530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 7*q**2 + 111*q + 382. Give g(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2263*s**5 - 2260*s**5 + 4529*s**5 + 716*s - 1434*s**3 - 1066*s**4 + 354*s**2 = 0.\nAnswer: -1, 0, 2\/3, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -35, -0.1, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41\/3 + 217\/15. Let m = t - 3\/10. Are 0 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/(5\/120). Let f(x) = 6*x - 188. Let u be f(31). Let l be (-24)\/(-10) + (u - (-32)\/20). Solve q = -l*q + t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*(8\/(-16))\/(440\/(-240)).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 228.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2880*l**2 - 147 - 608*l**2 + 147 - 3*l in the form b*l + p*l**2 + s and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 6:25 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2294 - 2308.51. Let b = 0.29 - c. What is b rounded to zero decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 668, 2716, 6130, 10910, 17056?\nAnswer: 24568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 252120 + 312?\nAnswer: 252432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 5\/35 + 102\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 15*k**2 + 25*k - 17. Let c be b(-13). Suppose 0*o = -4*o + 8. Let h(v) = v + o - 2. What is h(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*v + 106821, 19021 = 4*v + 4*s - 66419. List the prime factors of v.\nAnswer: 3, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 + 90d8?\nAnswer: 90e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**5\/4 - 7895*r**4\/4 - 12466205*r**3\/2 - 19684137695*r**2\/2 + 27*r + 77. Factor l(v).\nAnswer: -5*(v + 1579)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/37, 0.1, 4, 1\/3 in descending order.\nAnswer: 4, 2, 1\/3, 0.1, -2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(22500\/140)*6\/(-2)*-25?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -16*w**2 + 11*w. Let f be 38\/(-6*(-5)\/135). Let i = -160 + f. Let a(g) = -3*g**2 + 2*g. Give i*a(x) - 2*n(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (0 + -87 + 0). Let g be (-51)\/(-6)*(12 - 0). Suppose 0 = -4*t - 5*y + j, 3*y + g = 4*t - 0*y. What is the remainder when t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2806280 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1382*a**2 - 283*a.\nAnswer: 2764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/(-21) + (-2)\/(-6). Let p(n) = 2 - 1 + 4*n - q*n. Let k(r) = 1. Give 4*k(l) - p(l).\nAnswer: -2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*w = -11, -3*w - 175 = -4*r - 182 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.18, 9, 2\/13 in decreasing order.\nAnswer: 9, 2\/13, -0.18, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e + 96?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 - 2*z + 10 + 52*z**2 - 24*z**2 - 27*z**2 to h*z**3 + y + a*z + i*z**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 11 - 9)*(-1 - 1 + 0)*(-5 + 3 + 3 - 1 - 3 + 3 + (-1 + 2 - 2)*(-2 + 4 + 0))*(140 + 188 - 413)*(-3*s + s**3 + 3*s).\nAnswer: 680*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -99?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/24*-4)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8986, -10044, -11102?\n\"Answer: -1058*k - 7928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 8*q + 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -240 + ((-4)\/(-1) - (9 + -5)). Let m = -122 - f. Calculate the remainder when m is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2. Let s(v) = 9*v + 81. Let o be s(-9). Let p(f) be the second derivative of o*f**2 + 0 - 5\/6*f**3 - f. Calculate p(u(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/10)\/((-1)\/(-74)). Let h = -3 - z. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 153612.2 and 9.5.\nAnswer: 1459315.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-3))\/(4\/(-54)). Solve -4*r = -n + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001078 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1080 and 120168.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 9*p**4\/2 - 31*p**2\/2 - 2*p + 12. What is the first derivative of h(k) wrt k?\nAnswer: 108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5484575*r*v**3 + r*v**2 - 2*v**3 - 16403*v**2 - 2*v + 1968 wrt v.\nAnswer: 32907450*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(196\/(-350)*-5)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7*i**(-2\/5)*i*i*i*i*((i*i**(1\/4))\/i)\/i**0)**6 assuming i is positive.\nAnswer: i**(651\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.69, 21, 5\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2))**(-14\/13)*z**(2\/11)*(z*z\/(z*z**(-8)*z))\/z assuming z is positive.\nAnswer: z**(1335\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*i + 5*i**2 - 3*i**3 + 3*i + 9*i + 4*i**3 in the form m + h*i**3 + v*i**2 + o*i and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -2*t**4\/3 - 7*t**3\/6 + 5*t**2. Suppose -2*b - b + 33 = 0. Calculate the remainder when u(-3) is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97962139 and 1705.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-2)*68\/(-6). Suppose 0 = -d + 3*d - i. Let f = d - 9. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -10*m**3\/3 + m**2\/2 - 3*m - 19760. Suppose -2*w + 4 = -6*w. Calculate l(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1206445?\nAnswer: -1206447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from {v: 4, x: 2, z: 1, o: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.15589 - 0.15589. Which is the closest to 67? (a) 0 (b) f (c) -0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doggddddodddgg. What is prob of picking 2 o?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k = 2*u - 36, u = 3*k - 50. Let a = -7 + k. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1356641*41.\nAnswer: -55622281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15696 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*v + 2*v + 2*s, 5*v = 3*s + 15. Factor 1\/2*h**4 + 0 + 1\/2*h**v - 1\/2*h**2 - 1\/2*h.\nAnswer: h*(h - 1)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + (-11 - -3) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224088201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lna when three letters picked without replacement from {n: 2, z: 8, c: 4, l: 2, a: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1380818 and 0.022139.\nAnswer: -1380817.977861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u = 2 - 88 - 446 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 8) in base 15?\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = -10*c - 2. Solve -4*d + 2*r = 12, -4*d - 2 + 6 = c*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -42*k**2 - 20. Let s(h) = 14*h**2 + 7. Let l(y) = -3*d(y) - 10*s(y). Differentiate l(o) with respect to o.\nAnswer: -28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 16 - 15*a**3 + 0*a**3 - 32730*a**2 + 32711*a**2 in the form s*a**2 + y + u*a**3 + f*a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coco when four letters picked without replacement from coooocc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*c**2 - 40*c**2 - 3*c**3 + 5*c**3 + 2 + 11*c**2 + 0*c**3 as n*c**3 + f + w*c**2 + j*c and give w.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.051 + -2.369. Let q = f + 0.62. Let x = q - 2.2. What is the nearest to -0.1 in 13, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1590 + -268.\nAnswer: -1858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 130, 5, 14, 67, -4, -3 in descending order.\nAnswer: 130, 67, 14, 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 2*r - 2*r)*(2400 + 2560 - 1530).\nAnswer: -17150*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2482\/51*(-18)\/(-24)*2?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7338875663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 11*l + 4. Let c be v(11). Suppose -5*p + c = -0*p - 2*y, -3*p = -y - 2. Let s**2 - 3\/2*s**3 + 0*s + 1\/2*s**4 + p = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 10:25 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 49, -2\/7, -4, -0.07?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/90*3*117\/(-39))\/(1128\/235)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 515 - 194. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h. Let n = -154 - -162. Suppose -32 = 4*a - n. Calculate s(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -2*r, 9*r - 4*r - 4*r = -4*a + 2*r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1530 - 44*w**2 + 10*w**2 + 763 + 769 to g*w**2 + z*w + c and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33634473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = -2*b - 3*u, 0*u = b - u - 82. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*u - 2*p, -3*u - 4*p - 6 = p. Suppose 16 = u*n + f, -3*f = 2*n - 4*n + 18. Calculate the remainder when 27 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 6 + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 12:09 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 2, d: 1}. Give prob of picking 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70652470*h**5 - 1164806708*h.\nAnswer: -1413049400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 94382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105 - -937\/9. Let k = -4\/9 - w. What is the nearest to 1 in 5, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 222196*g - 130604 wrt g?\nAnswer: 222196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) -15\/2 (c) -4\/333 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 4:15 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 q when three letters picked without replacement from qrkkkqkrqqkkkkqrr.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -13*m. Let j(b) = 10*b**2 + 324*b - 176. Let i be j(-33). Let d(t) be the first derivative of i + 1\/2*t**2 + 0*t. Determine s(d(v)).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*b**3 - 29*b**3 - 238*b**2 - b**4 - 9*b**3 + (b**3 + b**3 - b**3)*(-3*b + 0*b + b) + 2*b**4 - 2*b**2 + 2*b**2.\nAnswer: -b**4 - 9*b**3 - 238*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5644682.672464 and -0.3.\nAnswer: -5644682.972464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 2. Let u = 3 - m. Let w = -13\/11 + 50\/33. Which is the closest to w? (a) u (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2214568 is divided by 109?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 151569967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 231 + -227. Let p(a) be the first derivative of a**5\/60 - a**4\/4 + 2*a**3\/3 - a**2\/2 + 2. Let m(w) be the second derivative of p(w). Calculate m(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2757279818?\nAnswer: 2, 2707, 509287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4572.51 weeks in minutes?\nAnswer: 46090900.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 856108 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2*((-25721)\/(-445) + -58) + (-112)\/330.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 6 = 3*u. Solve -5 = -u*x + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4*b + 120, 4*q - 2*b = 94 + 18. What is the remainder when q is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8246 or 8339?\nAnswer: 8339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r**3 + 5 + 15 - 20.\nAnswer: -29*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1939 - -5?\nAnswer: -1934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -719\/2, -824, 4.\nAnswer: -824, -719\/2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 592, 1178, 1764, 2350, 2936, 3522?\nAnswer: 4108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4575 and 850?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -8) + (22 - (1 + 11))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241, 800, 1703, 2956, 4565?\nAnswer: 6536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.50000504 + 13.5. Round o to seven decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -109923*f**2*n - f**2 - 243323*n wrt f?\nAnswer: -219846*f*n - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 5*q - 126 + 123, 5*q = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + -1*sqrt(396).\nAnswer: -6*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2871150 divided by -2?\nAnswer: -1435575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.5 - 4.66. What is the second biggest value in a, 0.4, 0, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t. Suppose 5*o + n - 17 = -4, 4*o = 5*n + 22. Suppose 3*w - 3*d = -o, d = w + 5*d - 14. Let g(y) = 4*y**2 - 5*y**2 + 0*y**w. Give m(g(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 33. What is h(36)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2) - (-5)\/(-30)*-6. Solve -5*z + a*o + 23 = 0, -4*z = -4*o - 6 - 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 8:10 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114928153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738902 is divided by 5203?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142*y**4 + 104*y wrt y.\nAnswer: 1704*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1005 and 1129733.2395.\nAnswer: 1128728.2395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56805500, 56805498, 56805496, 56805494, 56805492?\n\"Answer: -2*t + 56805502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (34\/4)\/((-3)\/(-12)). Let y = 27 - u. Is y > -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6972 divided by 21.\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, w: 2, p: 7}. Give prob of picking 1 p and 3 t.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68755 and 685.\nAnswer: 9419435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 171 - 115. Calculate the highest common factor of l and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 2)*(3 + 4*b - 2*b + 47*b**4 - 46*b**4).\nAnswer: 4*b**4 + 8*b + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 496 and 200?\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*h - 75, -5*n = 3*h + 2*h - 125. Let u = n - 18. Let b(w) = -16*w + 7 + 13*w + u*w. Let m(v) = 2*v + 3. What is 2*b(x) - 5*m(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + -1.1. Let x = -3.2 - c. Let v = 4 - 2. What is the biggest value in -0.1, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 10)\/((-1962)\/(-1526))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34156 >= -34359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -314 and 1?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -21f?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from naa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666 divided by 34?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwvvwvwwwvwv. Give prob of sequence vv.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 0, -3*u + 2*u - 5*w + 5 = 0. Suppose u*i + 5 = 25. What is the units digit of 3 - i*-3 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185 + 504 + 17*w**3 - 181 - 138.\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -2146, -7193, -17012, -33193?\nAnswer: -57326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 3, -1 in increasing order.\nAnswer: -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, m: 4, j: 7}. What is prob of sequence mm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 205931*n**3 + 234856*n**2 wrt n.\nAnswer: 1235586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 1:58 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -59\nAnswer: 35\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3*(115\/25 + -5)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*b - 59*b + 36 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/238 in -1595, -0.8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 4*g + 4. What is the least common multiple of x(5) and (-20)\/(6 + -3 + -7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*u + n + 23, 3 = n. Suppose -a - 14 = 3*k, 3*a = -2*k + k - 26. Is a smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -63 (b) -5 (c) 0.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 258\/9 + -7 + 2\/6. Calculate the highest common divisor of 121 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -87626, -175341, -263056?\n\"Answer: -87715*c + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -2 - (-2 + 4 + (0 - 2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - (-156)\/(-9))\/((-1)\/21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*c**3*k**2 + 2*c**2*k**3 + c*k**2 + 45*k**3 wrt c?\nAnswer: -360*c*k**2 + 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + 0.4. Let u = -421 + 421.5. What is the closest to -2\/3 in u, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*r + 2*r + 16, 2*a + 3*r + 2 = 0. Let k be (-4 - -2)*(-5)\/a. Let f(b) = 2*b**2 - b**3 + 6*b - 2*b**2 + 4*b**2 + 1. Calculate f(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -163 + 112. Let m = b + 35. Is 19 + m - (0 + -142) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0. Let p = -0.4 + 0.6. Let y = -0.2 + p. What is the nearest to y in w, -0.4, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1685, -1697, -1719, -1751, -1793, -1845?\n\"Answer: -5*m**2 + 3*m - 1683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 28 = -91. Let s = 41 + -38. What is the remainder when d is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -209941, -839641, -1889105, -3358333, -5247325, -7556081, -10284601?\n\"Answer: -209882*u**2 - 54*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvdfvdfvfvdvv. What is prob of sequence fdv?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*w**2 - 7984587*w + 10931023.\nAnswer: 16*w - 7984587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 101?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 7 = a, m + 0*a - 2*a = 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 8:08 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + q + 2*q)*(-420 - 465 + 265) - q + 3 - 3 + (0*q - q + 0*q)*(2 - 5 + 1) as t*q + g and give t.\nAnswer: -1239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.042 + -0.242. Let i = -1.14 + 0.14. Let y be (0 - (-21)\/18) + -1. Which is the closest to -0.1? (a) w (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-30)*(o**(-2\/7))**(-34))**43 assuming o is positive.\nAnswer: o**(11954\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*v + 3 + 2, 2*v = 4*b + 20. Let l be (24\/(-9))\/(-1) - 3\/(-9). Sort 7, 5, b, l in descending order.\nAnswer: 7, 5, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -968031 by -1887.\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292406\/235*(-1)\/(-4)*10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:50 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13784.02865 and 0.0645.\nAnswer: 13784.09315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8))**33 assuming h is positive.\nAnswer: h**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/6, 1\/22 in ascending order.\nAnswer: -5, -1\/6, 1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 18. Let s(z) = -12*z + 1. Let q be s(-1). Calculate the remainder when 33 is divided by h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6\/13)\/m)**(-1\/8)\/(m\/(m\/(m*m**7))*m**33) assuming m is positive.\nAnswer: m**(-4245\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -18, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44317*k**5 - 2006*k + 4 wrt k.\nAnswer: -886340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-14 - (19 + -33))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v + 320 = 21*v. Let u be ((-48)\/(-80))\/(2\/v*-1). Solve t = 5*t - u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brtnttnhttn. Give prob of picking 2 r and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {j: 1, b: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 70488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-22))\/(5856\/(-611952)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**5\/30 + 3*f**4\/8 - 5*f**3 + 43*f**2. What is the first derivative of r(d) wrt d?\nAnswer: 4*d + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 341738 divided by 2?\nAnswer: 170869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, c: 6}. Give prob of sequence pccp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -47*n + 80*n - 36*n. Let z(g) = 84*g**2. What is u(z(r))?\nAnswer: -252*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*t**3*y**3 + 141*t**3 + 367*t**2*y**4 + 111*t**2 - 2*y**2 wrt y.\nAnswer: 276*t**3 + 8808*t**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d**3 - d**2 - 6. Let y(m) = -10*m**3 - m**2 - 5. What is -5*v(x) + 6*y(x)?\nAnswer: -15*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 39*g - 19. Let d be h(-15). Is -154 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628 times 0.3?\nAnswer: 488.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Let r(c) = c**3 + 3*c**2 + c - 1. Let j be r(-2). Let y(h) = -h**3 + 2*h**2 - 2*h + 1. Let a be y(j). Solve o + 3 = -3*l - a*l, g*o = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**3 + 5*m - 5. Let t(x) = -x**3 - 2*x + 2. Determine 2*f(z) + 5*t(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -26*z + 637. Let k(x) = -143*x + 3549. Let d(a) = -39*g(a) + 7*k(a). Let i(t) = 146*t + 1. Calculate i(d(w)).\nAnswer: 1898*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221386 and 10494.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a4 (base 13) in base 16?\nAnswer: 1d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - l - 7 = 0. Let c(f) be the third derivative of f**6\/120 + f**5\/60 - f**4\/6 + 35*f**2. Let r be c(-2). Solve r*h + 13 = l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 3, -56, 0.1, -4, -1.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3812 divided by 1906\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(2\/(-4) + 0). Suppose l*p = p. Suppose 0 = -p*y + 3*y - 15. What is the greatest common divisor of y and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2) + (-49)\/5 - 234\/(-130).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60333 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:44 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 0 - (-556 + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54244100*o**2 - 60003212*o wrt o.\nAnswer: -108488200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*2\/(-4) + 7. Solve -a - 5 + 0 = 0, a = -t - i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgq. What is prob of sequence qj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - 14?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 35*y**2 + 38*y + 84. Determine o(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**3 - 33*f**2\/2 - 456*f - 1685. Factor c(z).\nAnswer: 3*(z - 19)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 5:57 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**3 + 2*y**2 - 2*y**2)*(-24 + 59 - 20 - 4*y) as f + n*y + t*y**3 + m*y**2 + x*y**4 and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**2 + 4*q. Suppose 8 = 2*i - 2. Let b(l) = -6*l + 4*l + 16*l**2 - i*l**2 + 9*l. Let g(k) = -4*b(k) + 7*c(k). Let r(m) = -2*m. Calculate g(r(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01774073 rounded to 5 decimal places?\nAnswer: -0.01774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20221211 + 231?\nAnswer: -20220320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.33.\nAnswer: -0.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -215.36 times 0.3?\nAnswer: -64.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1479*a**3 + 291*a**2 + 596*a**2 + 1337*a**2 - 389*a**3 wrt a?\nAnswer: 6540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 1596*m**2 + 942504*m + 944096.\nAnswer: -4*(m - 326)*(m + 1)*(m + 724)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 0*r**3 + 8*r**2 - 7*r - 10 - r**3 + 4*r - 2*r. Let u = 11 + -5. What is the smallest common multiple of u and d(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2. Let w(t) = -7*t - 37. What is i(w(y))?\nAnswer: -98*y**2 - 1036*y - 2738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*o + 4*a, -15 = 2*o - 4*a + 5. Let q be (0 + 2)*(-9)\/o. Let t = 6 - q. Is t equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2554168, 5108438, 7662708?\n\"Answer: 2554270*a - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 9*d**2 + 9*d - 5. Let j be r(-10). Calculate the highest common divisor of 20 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {g: 11, l: 6, c: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 35 = 2*y - 1, 4*a = -4*y + 132. Suppose -a*v + 5936 = -23*v. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2. Let u(j) = -5*j**2. Let w(t) = 3*i(t) + u(t). Suppose -1 = f - 0*f. Let h(r) = r. Let y(g) = 4*g. Let v(q) = f*h(q) + y(q). Determine v(w(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -338925.856 rounded to the nearest 10000?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 219748\/9 + -219742\/9. Determine m so that c*m**2 + 4\/3*m + 2\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 6*z - 2. Let u be f(6). Suppose 1560*x + 1723*x - 816 = 3249*x. Calculate the remainder when (1 + u)*(-69)\/1 is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*l**2 + 764*l**2 + 80*l**2 + 290*l**2.\nAnswer: 1400*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8152 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 0*a**2 - 1\/130*a**5 - 2\/39*a**3 + 0 + 1\/26*a**4 + 2*a. Factor l(z).\nAnswer: -2*z*(z - 2)*(z - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -539*l + 2021 = -496*l. Solve -5*g + 2 = -4*o, l*g + 2*o - 6 = 46*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmjmmmlmmmmlmrhkkjrh. What is prob of picking 1 l, 1 r, and 1 h?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (158 - 152)\/(6\/(-16))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*7*860\/1720?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 138254472 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 - 12.74. Let i = l - -13. Let q = -0.2006 + i. Round q to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5053*t**3 + t**2 + 327*t + 8. Let j(c) = -15158*c**3 + 3*c**2 + 979*c + 24. Let g(i) = 17*d(i) - 6*j(i). What is the third derivative of g(s) wrt s?\nAnswer: 30282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 16\/27579?\nAnswer: 16\/27579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = -4*l. Let j(k) = 2*k**2 + 2*k. Let z be j(l). Suppose -w - 7*f - 21 = -2*f, f - 11 = -z*w. Solve 0 = w*m + 3 + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 488aec (base 15) to base 7.\nAnswer: 41340240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 6:16 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -22\/169?\nAnswer: -22\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opop when four letters picked without replacement from oppop.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s - 7. Let i be ((-108)\/45)\/(4\/(-15)). Suppose 0 = -i*a + 790 - 124. What is the remainder when a is divided by h(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from yeyoeqnqllnqln.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 5*v**2 + 2. Let m be a(5). Suppose -3*w + 3*p = -15, -5*w - 4*p + 54 = 11. Solve m*i = d - 0 - 1, -d + w = -5*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3305, -5, 0, 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**5\/4 + 85*p**4\/3 - 115*p**3\/2 - 8523*p. Determine f, given that b(f) = 0.\nAnswer: -69, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, d: 3, z: 3, h: 1, k: 1}. Give prob of sequence zzzd.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87.59 - -87.69. What is the nearest to o in 0.5, 4, 11, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/229 or 218?\nAnswer: -1\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-216.08\nAnswer: -215.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5\/3 (b) 5 (c) 2\/5 (d) 5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -15. Let f(z) = -2*z - 1. What are the prime factors of f(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 33272067974543*t**2 + 33272067974543*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 7*l - 40. Let i be r(10). What is the units digit of ((i\/4)\/5)\/1*-58?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6272, 25602, 57990, 103436?\n\"Answer: 6529*z**2 - 257*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((4 - (5 - 6)) + 3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 25*w + 26. Let y be f(-24). Solve 3*z - y*k + 4 = -21, -5 = -k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + (-2 - (-7 - -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -86 (b) 2\/7 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6839363 to the nearest integer?\nAnswer: 2615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 94091443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 49\/4 of a micrometer?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7844\/(-1608) + (-33582)\/(-6948).\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d - 2*d)*(-7 - 12 - 9)*(-48 + 87 - 46).\nAnswer: -196*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-113)\/(8\/(-520)*5).\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111101010101 (base 2) to base 8.\nAnswer: -27525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -884*u - 877. Determine n(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -353 (base 7) to base 4.\nAnswer: -2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52a (base 15) to base 11.\nAnswer: 96a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 - 0.13. Let g = 0.4 + j. Put 0.1, g, -1 in decreasing order.\nAnswer: g, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -28*q + 25. Let d be f(2). What is the third biggest value in d, 1, -2\/5, -1\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7*k = 0. Suppose j - 5*t - 11 = k, j = -3*j - 3*t + 21. List the prime factors of 48\/20 - j\/15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001101110101011 (base 2) to base 9.\nAnswer: 170506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 23. Suppose -j - q = -2*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - f**2 - 1. Let k(q) be the first derivative of -q**4\/2 - 4*q**3\/3 - 3*q**2 - 8*q - 10. Let m(v) = k(v) - 4*p(v). Let m(u) = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*k + 321, -2*w = 3*k + w - 183. Calculate the remainder when k is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-7)*(-302)\/453. Factor 0 - 1\/7*y - 1\/7*y**3 + a*y**2.\nAnswer: -y*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/26266437 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 6. Suppose 4*l + 10 + 14 = 0. Let n be w(l). Let u(r) = -r**3 + r**2 + 1. Let b(x) = -4*x**3 + 7*x**2 - x + 6. Give n*u(k) - b(k).\nAnswer: -2*k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808035917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1114 - -4457\/4. Are g and 696 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - (3*sqrt(567) + sqrt(567)))*5)**2 - (sqrt(567) - (sqrt(567) - (sqrt(567) + (2 + sqrt(567) - sqrt(567))))*5)**2.\nAnswer: -180*sqrt(7) + 126908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 158548?\nAnswer: 9\/158548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in -4\/17, 0.04, -2\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1320043434 + -222?\nAnswer: -1320044211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4654*c**5 + 248*c**2 - 7*c.\nAnswer: -279240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -40. Which is the second biggest value? (a) -6\/7 (b) 0.8 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*v + 2*v - 2*v)*(19 + 4 - 6) as b + n*v and give n.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 713181 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2501*59.\nAnswer: -147559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 77. Which is the fourth biggest value? (a) -4 (b) i (c) -0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 8*x - 150. Calculate the remainder when (-1)\/7*-2 - (-7802)\/329 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b8bb (base 12) in base 8?\nAnswer: -170517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 44*r**2 - 128*r - 3. Let v be p(3). Let k(o) = -11*o + 38. Determine k(v).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 145, -1, -3 in increasing order.\nAnswer: -3, -1, 1, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-15)\/(-2)))\/((-18)\/(-75))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2230 - -2239. Solve u = 5*a + 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/225055 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 + -8 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*q - 4, 0*w + w - 4*q + 8 = 0. Let p be 196\/10 - w\/(-20). Let i(h) = -72*h + 4. Let x be i(-3). What is the highest common factor of x and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**2 - 307 - 294 + 599 - 37*z in the form d*z**2 + l + o*z and give o.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 753.\nAnswer: 1\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 + 98. Let t = 8 - y. Solve -2*m - m = 5*j - 31, -t*m + 4*j - 16 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43232, -43230, -43228, -43226?\n\"Answer: 2*w - 43234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*o - 51*o - 290. What is the third derivative of 13*v**5 + 22*v**2 - o*v**2 - 4 + 3 wrt v?\nAnswer: 780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*-2*sqrt(4212) + -2 + -4 + 0)**2.\nAnswer: 1728*sqrt(13) + 269607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.3 and -29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 231927 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 68788812 to the power of 1\/3, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**2 + 3*d + 0 + 2 - 8*d + d. Suppose 4*v = v + 9. Let o be a(v). What is the greatest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3 (c) 51 (d) 3\/7 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**2 + 236*y + 240 = 0. What is y?\nAnswer: -1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -518*c**3 - 84*c**2 - 42. Let n(f) = -61*f**3 - 10*f**2 - 5. Calculate -42*n(j) + 5*q(j).\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = -10*m - 360. Let g be (54\/(-8))\/((-15)\/m). What is the highest common divisor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*p**5 - 2163546*p**4 - 4718805*p**3 - 410310*p**2 + 4719168*p + 2573856 = 0 for p.\nAnswer: -5958, -12\/11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 103*p**2 + 2*p**4 - 37*p**3 - 99*p**2 - 14*p**3 + (4*p**2 + 0*p**2 - p**2)*(-6*p**2 - 5*p**2 + 2*p**2) as s*p + h*p**3 + g*p**4 + l + j*p**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34942451 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 8. Let k(x) be the second derivative of 0 - 1\/3*x**c + x + 0*x**2. Let m(v) = 2*v**2. What is m(k(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 651.526, 362 in descending order.\nAnswer: 651.526, 362, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2589 - -2588. Is y at least as big as -2\/6419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*t + 14 = 86. Solve 0 = -5*j - 14 - t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 153066.4 days?\nAnswer: 13224936960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 5 - -2)*(-35)\/35\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38537287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 10:29 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13328*t**2 + 29135.\nAnswer: -26656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.1 + -2.2. Let j = m - 3.9. What is the nearest to -1\/4 in 0, 1\/4, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Let a(v) be the first derivative of -v**6\/180 + 7*v**3\/3 - 1. Let t(r) be the third derivative of a(r). What is t(h(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-36))\/(4\/(-328)) and ((-344)\/24 + -2)\/(1606\/6 + -3)?\nAnswer: 7146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 11*m**2 + 2*m - 9. Let q be n(11). Solve -4*d + z = -q, 0*d = 2*d - 4*z + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -1667*s**4\/12 - s**3\/3 - 3*s**2. Let z be c(-3). Round z to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8507*a**5*f**2 + 21*a**5*f + 9*a**2*f**2 + 6*a**2*f + 22*a*f**2 + 27*f**2 - 2 wrt a?\nAnswer: 510420*a**2*f**2 + 1260*a**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 153 + 141 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*o + 1 + 8, 0 = 3*o - 2*t - 31. Suppose 9 = -o*i + 2. Suppose 2*b = 4*b - 6. Sort i, b, 8 in decreasing order.\nAnswer: 8, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 0.657?\nAnswer: 0.657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -356649, -713275, -1069901, -1426527, -1783153?\n\"Answer: -356626*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 97.37118ml?\nAnswer: 0.09737118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b6 (base 15) in base 14?\nAnswer: c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(144) - (2*sqrt(144)*4 - sqrt(144)) - sqrt(144)) + sqrt(144)))\/((sqrt(24) - sqrt(192)\/(-2*sqrt(8)))\/(sqrt(12) - sqrt(48)\/sqrt(4)*-4)).\nAnswer: -480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ana when three letters picked without replacement from {t: 4, a: 2, n: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.27847001 + -1.0784692. Let b = -0.8 - t. What is b rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*z + 37991 - 26257 = 619*z - 35306 for z.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**3 - 11*a - 5. Let y(p) be the third derivative of -p**6\/30 + p**4\/4 + p**3\/2 + 3*p**2. Let j(k) = k + 9. Let o be j(-6). Give o*m(b) + 5*y(b).\nAnswer: b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 11 = -3*b - 2, 4*b = 3*u - 2. Let y(z) = z - 2 - 3 + 3 + 1. Let t(h) = -7*h + 5. Let g(i) = -t(i) - 6*y(i). What is g(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:16 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6846 is divided by 697.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 4*a + 3. Let r be z(2). Let c be ((-6)\/(-1 + -5))\/(4\/(-16)). Do c and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21773050 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 3:16 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 24*f**2. Let b(j) = 2*j - 10. Give b(n(h)).\nAnswer: 48*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68913)\/(-109746) + 1\/67)\/(0 + 12\/7)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y + 53*y = -24. What is the greatest common divisor of 4 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1470, -5888, -13250, -23556?\n\"Answer: -1472*q**2 - 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 149\/2575?\nAnswer: 149\/2575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5525 + -5390. What is the greatest common divisor of m and 1917?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/5, 19, -4 in increasing order.\nAnswer: -4, -3\/5, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4.5. What is the nearest to 1 in 2, f, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:57 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 95*y - 8973. Let x be v(95). Solve x*d - 366 = -54 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**4 + 6*f**4 + 0*f**4 + (-1000*f**2 + 1000*f**2 + 148*f**3)*(-3*f + 0*f - f).\nAnswer: -590*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**2 + 53*b + 48. Let y be o(-1). Solve y*t + 3 = -f, f + 4 = 3*t + 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39 - ((-5)\/(-1) + -2). Let a = -23 + k. What is the remainder when 23 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + w - 3. Let j(b) = b**3 - 5*b**2 - 29*b + 141. Let q be j(6). Give x(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + 0)*-2 + (sqrt(539) - 1*sqrt(539)*6))**2*-1.\nAnswer: -26411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323456177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22785 + 34589. Let y = 17385 - f. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/7 + 15\/28. Let t = 3.8 + -0.8. Which is the third biggest value? (a) t (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -6*(-1)\/(-2). Suppose j*z = 5*z - 1323. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.21361 to two dps.\nAnswer: 2.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 0.10262\nAnswer: -0.20262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 962 is divided by 333.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -869591*l**3 - 194*l - 65.\nAnswer: -5217546*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzttd. Give prob of picking 2 t and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -220869 + 110427 + 110428 + 3*c. Determine l(17).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Give a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 41161*a**2 + 329240*a - 658448.\nAnswer: (a - 41153)*(a - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - o**2 - o - 14. Let p = -1357 + 1357. Determine f(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*p = 2*z - 6*z + 42, 9*z = 5*p + 65 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (204\/24 - 8)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 0 + (-11 + 73 - 102)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by -2.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {o: 2, t: 5, w: 5, f: 1, k: 5, p: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/3, 0.5 in descending order.\nAnswer: 2\/3, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10521785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -54519 divided by 6?\nAnswer: -18173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1439026464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {l: 4, i: 1, s: 2, h: 2, k: 2, y: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -8*z - 30. Which is the nearest to -0.2? (a) z (b) -2\/3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + -14.9. Let q = a + 14.8. Let m = 0 - -0.4. Sort q, m, -3.\nAnswer: -3, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34216227 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -769138894 by -298.\nAnswer: 2581003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 47762*p - 127 + 127 - 36879*p. Let v(w) = -w. Determine u(v(g)).\nAnswer: -10883*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uux when three letters picked without replacement from {x: 7, u: 12}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - -11153?\nAnswer: 11145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 184329 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1339880947\/126 + 10633919. Let y = 390\/7 + k. Calculate the common denominator of -13\/18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**22\/x*x\/(x\/(x*x\/((((x*x**9*x*x*x)\/x*x)\/x)\/x*x))) assuming x is positive.\nAnswer: x**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 + 68 + 0*o**3 + 8 - 141*o - 364*o.\nAnswer: -2*o**3 - 505*o + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 91, 183, 305, 457, 639?\n\"Answer: 15*f**2 + 17*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5 - 125*d**4 - 135*d**3 + 125*d**2 + 130*d = 0. What is d?\nAnswer: -1, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3100333013 (base 4) to base 13.\nAnswer: -23c819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1198991780 to the nearest integer?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*x + 126*x - 442*x - 275*x.\nAnswer: -696*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 0*d - 4 - 1\/2*d**2. Let g(j) be the third derivative of j**5\/30 + j**2. Determine s(g(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529578 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*b**2\/4 - 361462*b + 39077\/4.\nAnswer: -(b + 39077)*(37*b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 43a + -1?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -56381163, -112762324, -169143487, -225524652?\n\"Answer: -n**2 - 56381158*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*q = 220, 106 = -0*c + 2*c + 4*q. Let o = -112 + c. Round o to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118 + (-112 - (44 + -149))\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**3 + 5*l - 1459 - 56*l**2 - 49*l + 3051 - 1488 = 0.\nAnswer: -13, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -61*t + 101. Let x be j(7). Let h = 328 + x. Solve -p = -y + 3, -4*p + 6 = 3*y + h*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-4 - (4 - 8)) - -4. What is the closest to 2\/3 in 16, 5, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x + 20*x + 15 = 5*t, 5*t = -70*x + 75*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Add 0.0118905460735 and 0.623.\nAnswer: 0.6348905460735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 55*p + 140. Calculate y(-5).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*c + 57*c = -116*c + 384*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -6)\/(-29 + (-531)\/(-18))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*y**2 - 3 - 35*y**2 - 15*y**2 - 126*y**2 + 6*y as v*y**2 + w + d*y and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m - 16*m - 9*m.\nAnswer: -41*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -101*m + 3342. What is y(33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 413100 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i - 525 = -327 + 57 + 153 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, 1258894 in ascending order.\nAnswer: -7, 3, 1258894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 83 + 1 = 3*o, -3*o + 87 = 3*l. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6148551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**3 + 16*j**2 + 26*j + 27. Let r(g) = 10*g**3 + 24*g**2 + 39*g + 40. Let x(o) = -5*r(o) + 7*w(o). What are the prime factors of x(-9)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, 0.3, 15\/58, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-14)*14\/2. Let s(f) = 10*f - 9. What is the units digit of s(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4\/9 - 68*p**3\/27 + 490*p**2\/9 - 300*p + 484. Determine q so that f(q) = 0.\nAnswer: -27, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13238 times 139\nAnswer: 1840082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*21\/(-40))\/1*8\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 2 = 2*j. Let v(n) = n**2 - 7*n - 8. Let l be v(8). Suppose j*g - 2941 - 459 = l. Round g to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) - 322\/(-69). Suppose -c*h + 0*h + 891 = 3*p, 2*h = -p + 297. What is p rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*r - r + 102, 5*l - 3*r - 141 = 0. Let x(c) = 6*c - 8. Let b be x(9). Let k = l - b. Sort k, -1, -2 in descending order.\nAnswer: -1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137853236.\nAnswer: 2, 107, 137, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c + 11. Suppose -1 + 31 = -6*m. Let u(y) = -6*y + 17. Determine m*u(s) + 8*q(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61*f + 40 + 66*f - 23)*(-2 + 2 + 5*f**3) to m*f**3 + c + v*f**4 + x*f + j*f**2 and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -90) + (-19 - -10 - -38) + -13?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, l: 2, i: 8, q: 3}. Give prob of picking 2 i and 1 g.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -3431?\nAnswer: -3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*q - 8*k + 3*k, 3*k - 6 = q. Let u be (-57778)\/(-21) - 1*4\/3. Suppose u = -q*b + 12872. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 2*b**2 + 2*b + 2. Let g be l(2). Let f(p) = p**2 - 6*p - 5. Let x be f(g). Put x, -1, 2 in descending order.\nAnswer: 2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 3*h - 2. Let i be f(4). Suppose -i*l - 3*l + 30 = 0. Suppose 2*k = -k + l. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(128) - (2*sqrt(128) - sqrt(128))) + sqrt(128)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.4. Let g = -10.78 - -0.28. Let j = g - -11. Which is the nearest to d? (a) j (b) 0.3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47801 is divided by 467?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - i - 1. Let w(m) = 12*m**2 + 8*m - 9. Let t(s) = 6*j(s) + w(s). What is the hundreds digit of t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -45. Suppose 3*w + i*b - 480 = 0, -2*b - 5 - 1 = 0. Suppose 0 = 4*d - d - w. What is the greatest common factor of 27 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(48))\/(sqrt(12)\/sqrt(6)*-2).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/8)*(v*v**(-7))\/v assuming v is positive.\nAnswer: v**(-55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p**3 - 65 - 67 + 18*p**3 + 79 + 53.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccccccccchcchc. Give prob of picking 4 c.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*l - 4*n + 26 = 0, 0 = 2*l - 5*n + 13. Solve -3*w = 0, 3*g = 2*w + w + l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 - 1.7. Which is the nearest to m? (a) -4 (b) -7\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -17 - 2) + 14 + 77\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-10 - (-12 - -6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, o: 1, y: 2, w: 1}. What is prob of sequence voy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/16)\/(2\/(6\/(-3)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*2\/(-1)*1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -i + 71089, y + y + i - 35543 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1735024*r**4 - 3*r**2 + 55*r + 57027 wrt r.\nAnswer: 41640576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/3 + 58\/16?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-7007)*1701\/(-243).\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 - -649. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 take away 115822?\nAnswer: -115442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*z = -95*z - 980. Let l = -689\/7 - z. What is the nearest to 14 in -0.3, -3\/5, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*c**2 + 402*c**2 - 222*c**2 + 1 - 52*c**3 - 92*c**2 + 34*c**3.\nAnswer: -18*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 64*t - 1. Let c be p(-2). Let q = 901\/7 + c. Let i = 51\/10 + -11\/2. What is the third biggest value in -0.1, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -18*l**3 - 17*l**2. Let p(q) be the third derivative of q**6\/40 + q**5\/20 + q**2 - 2*q + 2. Let y = -1 - 5. Give y*f(t) - 34*p(t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 288374*s - 2018628. What is y(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -401, -860, -1325, -1796, -2273?\n\"Answer: -3*x**2 - 450*x + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 12*u - 4. Sort u, 2, -2 in ascending order.\nAnswer: -2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4 - 6 = l, 2*l - 2*p = 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 3:53 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -212?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.8, 0.4, 5, 9\/5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19, 1, -38, -7, -0.1, 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2729*p**4 + 7794*p**2 + 186808427.\nAnswer: 10916*p**3 + 15588*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 123*p. Let v(z) = -375 - 379 + 1133 + z**2 - 379. Give v(w(h)).\nAnswer: 4*h**4 + 492*h**3 + 15129*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210184 by 1.\nAnswer: -210184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 520832221*v - 150713951 wrt v?\nAnswer: 520832221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-16*r**3 - 44 + 44).\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 741*a**2*q**3 + 10*a*q + 35108*q**3 wrt a.\nAnswer: 1482*a*q**3 + 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/16)\/(10724\/24512).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.405 times -0.18?\nAnswer: -0.0729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (2*sqrt(300) + sqrt(300) + 3)*-4)**2 + -5*(4 + sqrt(300) + 0)**2*6)*6.\nAnswer: 1440*sqrt(3) + 203046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9864 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 0 - 5 - 4*v - 31*v + 2*v. Is q(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/105 and -61\/23415?\nAnswer: 23415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 10 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (147 - (72 - 35))?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.23960932951 and 40.\nAnswer: 38.76039067049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.61 * -133136\nAnswer: 81212.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 13*a - 42. Suppose 0 = -3*n - 3 + 9. Solve 0 = -2*r - 5*w + a, n*r + 0*r - 3*w = -3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.93 - -8. Let z = m - -0.53. Let s = -0.4 + z. What is the closest to 0 in 2\/3, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 + 3.97. Let s = -0.4 + -1.6. Let m = s + w. Which is the third smallest value? (a) 1 (b) -3\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10c7 + c7?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-29)\/4)\/(152\/1216))\/(43\/((-1935)\/30)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21222022011100 + -12?\nAnswer: 21222022011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/120 + b**5\/12 - b**4\/6 + 2*b**3\/3 + 3*b**2. Suppose 0*f - 8 = -2*f. Give j(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3 - 5854772*q**2 - 2142376706400*q + 14996923830000 = 0. What is q?\nAnswer: -731850, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 4*g - 4*g)*(1 - 1 - 2*g**2) + g**4 + 2*g**4 + 0*g**4 - 697*g**2 + 697*g**2 + 117*g**4 + 181*g**4 - 18*g**4.\nAnswer: 287*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4176 and 236727.\nAnswer: 3787632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 - -76. Calculate the lowest common multiple of (-4)\/(((-8)\/2)\/2) and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 12*i**2 + 2488*i + 802. Calculate c(-207).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 4, 3*i + 3*b - 17 = b. Suppose i = -5*g - 0. What are the prime factors of (-21)\/(-2) - g\/(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cspd when four letters picked without replacement from dppsc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3046 + 11885 = 3*a. Is 32\/(-16) + -1*a\/(-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 9\/15*40\/60?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 25815.84 millennia?\nAnswer: 258158.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/135)\/(6\/54*-6)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524 (base 6) to base 14.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 12*o - 1)*((2*o**2 + 4*o**2 - 5*o**2)*(o**2 - 4*o**2 + o**2) - o**4 + 0*o**4 + 0*o**4) + 3*o**5 + 0*o**5 - 2*o**5.\nAnswer: -35*o**5 + 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10427, 20886, 31333, 41762, 52167, 62542, 72881?\n\"Answer: -u**3 + 10466*u - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72 or 69?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/5 and (-579)\/(-8568)*-3 + 115\/40 + -3.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449 divided by 483?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 15*a**2 + 8*a + 28. Give b(2).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 - 30*l + 50. Determine u(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52412 - -52411.99973977. Round n to 5 dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 6:31 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3) + (1 - -4) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248260.2 litres to millilitres.\nAnswer: 248260200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*q + 86*q - 124307 - 56773. What is the remainder when q is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 292 = -8*u. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -0.1, -10, -3\/2.\nAnswer: -30, -10, -3\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -50. What is the units digit of 180\/(-15)*(-44)\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51200 divided by 320.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -204, -583, -876, -807, -100?\n\"Answer: 46*w**3 - 233*w**2 - 2*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 73954 to the nearest one hundred.\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-68)*2)\/(1039\/(-1039)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*p - 17*d + 12*d, -2*p = 3*d - 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61.310238331 + 9.657861459. Let j = 0.03252021 + n. Let i = 71 - j. What is i rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -36*u - 1. Let j(s) = 11*s**2. Determine j(o(i)).\nAnswer: 14256*i**2 + 792*i + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7323*u - 7309*u - 7501*u + 22129*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -660*g**2 + 450215*g - 2566915.\nAnswer: -5*(4*g - 23)*(33*g - 22321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-2)*7\/7. Let r(l) be the third derivative of 0 + l**3 + 34*l**2 + 1\/60*l**5 + 0*l + 1\/4*l**4. What is r(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10*(-3285)\/(-45333).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35174*c**2 - 156*c**5 + 35174*c**2 + (c**3 + 2*c**3 - c**3)*(c**2 - c**2 + c**2).\nAnswer: -154*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 425602031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 672659?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 8298876.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + 5 + 0 + 1 + 0 + -17.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 1:57 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5\/11 - 4*n**4 + 156*n**3\/11 - 224*n**2\/11 + 146*n\/11 - 36\/11 = 0 for n.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 1 - 3. Suppose -34 = -n - 4*y, v*n - 3*y - 39 - 18 = 0. Solve 5*c + j - 2*j - n = 0, 3*c + 2*j = 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31210687?\nAnswer: 31210687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*r**4 - 5*r - 2 + 5*r**2 + 7*r - 3*r - 3*r**2 as s*r**2 + z*r**4 + m*r**3 + d*r + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 1\/2 (b) -901 (c) -1\/22 (d) -4\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 + -38985407.54?\nAnswer: -38985408.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(24)\/sqrt(3)) + sqrt(19) + -5 + 6*sqrt(19).\nAnswer: -5 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1681849481*t**2 - 4*t**3 - 1681849481*t**2.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*h - 2685 = -10492 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27424 (base 10) to base 14.\nAnswer: 9dcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19676*q - 1469*q**3 + 39351*q - 1 - 179*q**2 - 19675*q wrt q?\nAnswer: -8814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21727 divided by 21727?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -24015?\nAnswer: 24015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6289190, -6289212, -6289248, -6289298?\n\"Answer: -7*t**2 - t - 6289182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 14 = -3*l + 3, -1 = l - s. Let r(u) = 0*u**3 + 2*u**l + 0*u**3 + 2*u**2 - u**3 + 1 - u. What is the remainder when 7 is divided by r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -832.0196 - -832. Let w = -9.5504 + l. What is w rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1360*w - 512424 = -907*w - 2909*w for w.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7712 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**2 + 13*f**2 + 11*f**2.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-3) - 74\/30 and (-1 + (-145)\/(-35))\/(16\/(-588)*279).\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58112 + 408027\/7. Let j = -178 + q. Let s(l) = l**3 - 213*l**2 + 461*l - 8226. Let r be s(211). Which is the nearest to j? (a) -2\/13 (b) -3\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33214*m + 33403*m - 66617*m + 19*m**2.\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1348 - 114*f + 29*f - 1348.\nAnswer: -85*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.357 - -0.143. Sort 0.1, -91, c in decreasing order.\nAnswer: c, 0.1, -91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-25)*88\/(-12320)*-175\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/(-175)*(-3)\/(-6)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -3. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*w + 5*i - 4, 5*w = -3*i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 30*j**2 - 2530*j + 14832. Determine b(78).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 2864*l + 69482. Give z(-24).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.1, 0.07, -2501?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56914879 take away -33722?\nAnswer: 56948601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2199.4752 and 0.5.\nAnswer: 1099.7376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2105975*b**3 - 184127*b**2 - 2*b.\nAnswer: -12635850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 + 10*g**2 + 6*g + 3. Let m be x(-4). Suppose -2*l = b - 2*b + 3, 5*l + b + m = 0. Put -1, l, 6 in descending order.\nAnswer: 6, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3011, 3013, 3015, 3017, 3019?\nAnswer: 3021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/107415 and 38\/271095?\nAnswer: 5692995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 72*w**2 + 33*w + 2707. Calculate y(71).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((-442)\/91 - -5). Which is greater: 9\/34 or a?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 283 and 1698.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -36*y - 51. Let g(a) = 37*a + 53. Let r(v) = 7*f(v) + 6*g(v). Let z be r(-4). What is the greatest common divisor of 135 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 4*r**2 + 6*r - 7. Let t be j(-5). Is t greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -38*u + 82. Give l(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 94 = 7*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 8*w - 5. Let h be l(7). Suppose g = 5*f - 15, 4*f - 10 = -f + h*g. What is the lowest common multiple of 5 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2122 + 2252. Calculate the highest common factor of y and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2786 - 2551. Calculate the remainder when h is divided by 78.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7577004*t**3 + 15787556*t**2 - 2.\nAnswer: -45462024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 1\/30*l**4 + 16\/5*l**2 + 6*l + 0 - 8\/15*l**3. Suppose i(s) = 0. What is s?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s + 3*s - 2 - 3*s. Let m be z(-3). What is the highest common factor of 100 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 97 = -505. Calculate the remainder when 547 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjcqwwcjqwjccajdaccq. Give prob of picking 1 a, 1 w, and 1 j.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 2*w + 0*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -82 - (-312 - -305 - (1 - 0) - -9).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = p - 16. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*h - 2 = 0. Factor -2*q**h + 0*q**2 - 3 + 4 + q**2.\nAnswer: -(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2062500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*s + 5*l, -3*l - 1 - 11 = 0. Let n = 89 + -5. Calculate the highest common divisor of s and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + -15. Let r(w) = 9158*w - 4587*w + 21*w**2 + w**3 - 4577*w. List the prime factors of r(y).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 11. Let q(w) = -w - 5. Let z = 57 + -64. Let i(y) = z*q(y) - 3*x(y). Let r be i(5). Solve r = 4*f - 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*h**2 - 6*h**2 + 8*h**2 + 10*h**3 wrt h.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 522972 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -14 - (-42 + 36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 10:23 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 11597?\nAnswer: -26\/11597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 724.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 - 45. Let x(b) = b**3 - 6*b**2 - 4*b + 17. Let i be x(9). Suppose 2*h - c - i = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1316 and 12688 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.71 - -0.21. Let b = 0.31 - 1.81. Let t = b + 1.4. Which is bigger: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/(-24))\/(-2*(-12)\/(-32)))\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 11*f**5\/30 + f**4\/12 + f**3\/6 - 16*f**2. Determine q(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/88 - 5\/(-6)*(-855)\/2850\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.06 - -2.0076. Let c = 0.004 + m. Round c to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w**3 + 41*w**3 - 48*w**3.\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 15*m**2 + 11*m + 44. What is i(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*v + 2*v - 447, 2*l - v = 299. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -51. What is the third smallest value in k, 2, -2\/55, -5, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 1:07 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72984.\nAnswer: 2, 3, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 16*r = -r - 238 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2120312 - -33?\nAnswer: -2120224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from palalqpyg. Give prob of picking 1 q and 1 y.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. What is the units digit of (-12)\/2*(-1)\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211 - -213. Let v(p) = 2*p - 6. Determine v(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.56 - 6.6?\nAnswer: -45.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1223*q + 562*q = -622*q - 3432 for q.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**2 + 8*u - 9. Let h(i) = 14*i**2 + 9*i - 10. Let y(b) = 3*h(b) - 4*v(b). Calculate y(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 10*o**2 - o + 7. Let t be p(10). Let x = 4 - 3. Sort 3, t, x, 4 in decreasing order.\nAnswer: 4, 3, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*s - 12 = 5*s, -4*p = -4*s - 24. Suppose 4*m - p*m - 5 = 0. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 2*z**2 - z. Let n be o(1). Let m(a) be the first derivative of 3*a**2 + 4 - 5 + a**n. What is m(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 23*q + 3752 = 0. Is 468 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 31*h - 28*h = -47, -h - 32 = -4*o. Which is the closest to 2\/9? (a) o (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/176)\/((-1)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - d + 0*d = -0*d + 36, 183*d = 180*d - 16 - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -4 - -109 - 1. Let x = 84 - j. Is x smaller than -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 390 (b) -5.8 (c) -3\/25 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, 2, -3, 0, -5, -4 in decreasing order.\nAnswer: 2, 0, -2, -3, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50455288 divided by -4456?\nAnswer: -11323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207149177.\nAnswer: 59, 1049, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 (base 15) in base 6?\nAnswer: 10135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*o + 376*o - 168*o - 180 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 2. Let n(c) = -6*c**2 - 11. Let h be ((-12)\/(-18))\/(4\/(-66)). Determine h*v(l) + 2*n(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trioooiignnoooi. What is prob of sequence oo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3021.7 and -0.5?\nAnswer: -1510.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -817*5\nAnswer: -4085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 1\/415, 14\/9, -4\/7?\nAnswer: 1\/415","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 71*n**2 + 0 - 10\/3*n**5 + 0*n + 7\/2*n**4 + 4\/3*n**3. Factor s(d).\nAnswer: -4*(2*d - 1)*(25*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (1 - 1 - (13 - 11))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c0 + 64?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(2\/7)*t*t**(2\/11)*(t**(-2\/3))**(2\/47)*(t*t**3\/t*t\/t**(1\/9)*t)**(-10) assuming t is positive.\nAnswer: t**(-1512914\/32571)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*h + 39*h - 9 - 18*h + 36 - 13*h.\nAnswer: -17*h + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464728 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 9, n: 2, y: 1, w: 1, p: 1}. Give prob of sequence ew.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 413.6274 seconds in hours?\nAnswer: 0.1148965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -1, 160.\nAnswer: -1, 56, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 548044 by 78292.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -32. Suppose 5*k - 50 = -2*p, 136 = 2*p + 2*p + k. Let a = p - c. Calculate the greatest common divisor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 + 3.92. Suppose -25*k = -31 + 6. Let i = -361 - -361. Put i, k, a in descending order.\nAnswer: a, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 7.45444\nAnswer: -3.72722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 3*p + 7. Let h(q) = -q**2 - 3*q - 8. Determine 4*h(m) + 5*t(m).\nAnswer: m**2 + 3*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 3 + -3 - 70. Let b be 1\/(2\/(-141)) - -1. Let i = b - h. Is i equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 551*n**2 + 314*n + 15. Let z(p) = 552*p**2 + 314*p + 12. Let x(a) = 4*h(a) - 5*z(a). Find the second derivative of x(v) wrt v.\nAnswer: -1112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 374\/14 + 6\/21. Let r be 2\/(-8) - x\/(-12). What is the units digit of ((-3)\/r)\/((-3)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**3 - v**3 + v**3)*(1 - 1 + 2*v) - 6*v**4 + 3*v**4 + 2*v**4 - 2047*v**2 - 395*v**4 + 2047*v**2 to q*v**2 + k*v**4 + a*v**3 + l + m*v and give k.\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011010000000011 (base 2) in base 7?\nAnswer: 251232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6)*-1*(-132)\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 3. Let i be (1478 - r) + (4 - 3). Suppose -i = -7*s + 3*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -82918023\nAnswer: -82918023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -22*k - 18. Let o(u) = -22*u - 702. What is the smallest common multiple of o(-37) and h(-3)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zza when three letters picked without replacement from dadaizaazaaazaaz?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-99) + (-40)\/(-44) - 2306\/(-66)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1)*(-5 - 1 + 2)*(p - p - p) as c + s*p and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1133994201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1434201 (base 7) to base 10\nAnswer: -193551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1727 rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-6*1 + 2). Let r = 72.8 + -73. Sort u, 0.1, r.\nAnswer: u, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 5. Let d be v(5). Let o = d - -3. Suppose 12 + 3 = o*i. Solve 3*l + 15 = -i*c, -4*c = -5*c - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (332\/(-415))\/(9\/(-157275))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*v**2 + 19*v**2 - 24*v**2.\nAnswer: -52*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 9:42 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24105*d**4 - 104271 wrt d?\nAnswer: 96420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-156)\/(-28) + 3\/7)\/2. Suppose -657 = -4*z + t*i - 4*i, -z + 143 = -4*i. List the prime factors of z.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.171, 3 in descending order.\nAnswer: 3, -0.171, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**2 - 81*n. Suppose -4*g = -4*m - g - 39, -4*m + 5*g = 41. Is 9 a factor of a(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from {o: 1, n: 6, u: 2, d: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 48\/13 (b) 361 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.171*-435.695.\nAnswer: 74.503845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(76\/(-10))*10\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (17 - (11 + 2)). Solve -27*q + 6*q - 63 = k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 24 = -2*h - 5*b, -2*h + 48 = b. Let m(u) = 7 - 4 - 2 + h - 6*u. Does 31 divide m(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 192*p + 720.\nAnswer: 3*(p + 4)*(p + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 111431?\nAnswer: 111441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 93, 1 in descending order.\nAnswer: 93, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.544 to one dp.\nAnswer: -21.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/7)\/m**(2\/3)*m**(-2)\/((m*m*m**(-2\/19))\/m*m) assuming m is positive.\nAnswer: m**(-1934\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 5*m + 6. Let d be u(-6). Suppose d = -3*q + 7*q - 20. Suppose q*h = 8*h. Solve h = k - 3 + 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80529989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**3 + 5*o**2 - 8*o - 3. Let m be z(-3). Let w = m + 54. What is the derivative of -12*p + p - 26 + 2 - w*p wrt p?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofcfocooofccoccffco. What is prob of picking 1 f and 3 c?\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (5 - -7)) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 - 15*c + 11. Let h(x) = -11*x**2 + 31*x - 22. Let q(p) = 13*d(p) + 6*h(p). Let i be q(-9). Factor 2 + i*r + 2 + 3*r**2 - 3*r.\nAnswer: (r + 2)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*l - 95*l**3 + 377*l - 2222*l**3.\nAnswer: -2317*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4*(68\/(-120))\/(-17)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 315 - 312. Suppose -84 = 2*g + 2*g. Let f = g + 14. Sort 2, d, f in decreasing order.\nAnswer: d, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -0.0631 (b) -2 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - -0.67. Let n = -0.3 - l. Let f = 3 - 3. Sort 0.4, n, f in decreasing order.\nAnswer: 0.4, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 6 + 7)*(h - h - 2*h).\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 12*a**2 + 12*a + 15. Let h be x(-11). Solve h = 69*o - 67*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2010 - 1113. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 8. Let q(k) be the third derivative of 1\/210*k**m + 0*k - k**2 - 1\/42*k**4 + 0 + 1\/21*k**3. Find g, given that q(g) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48.01 + -48. Suppose 7*q + 307 = 251. Which is the second biggest value? (a) -3 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4 - 105\/(-4). Let l = 351 + -346. Suppose -w + v = 5*m, -m - 3*m + 46 = l*w. Is 2 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**5\/3 - 6*n**2 - 8*n. Let u(k) be the first derivative of b(k). Let h(q) = -1 + 2 + q**2 - 1. What is h(u(d))?\nAnswer: 400*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.40597 to one dp.\nAnswer: 48.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1059961590.\nAnswer: 2, 3, 5, 1319, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 2. Let p be o(4). Let l(b) = 8*b + 5. Let k be 7\/(-34 + 6) - 138\/(-8). Let f(i) = -k*i - 14 + 1 + 4 - 2. Give p*f(v) - 13*l(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14326321 - 320?\nAnswer: -14326641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - -23 - (-4 + 0) - 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.1, -87, 0.3, 8, 0.43?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.9105 - 0.1105. Which is bigger: p or -3.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -35. Let n be (-4)\/14 - 23\/(-7). Let u be n*(152\/12 + a). What is the greatest common divisor of u and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 15, 2\/9, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, -8, 1 in increasing order.\nAnswer: -66, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 137 = -5*r, -3*s + 5*r = -5*s + 289. What is the remainder when s is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 10. Let y be (-3 + w)*2\/5. What are the prime factors of y\/13 + (-275)\/(-13)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 15 = 4*t. Solve 0*j + t*k = -j + 3, 2*k = 2*j + 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 2*q + 1 - 3)*(1198*q + 1084*q - 618*q) as u*q**2 + z*q + j and give u.\nAnswer: 3328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1430 - -1463. Suppose 0 = 3*t, 0 = 2*u - 5*u - t + a. Suppose 4*p + 4 - 12 = 0. Solve -p*b - u = -17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.28085215 to two dps.\nAnswer: 12.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**5 - 1626*c**4 - 3244*c**3 + 4*c**2 + 3246*c + 1622 = 0?\nAnswer: -811, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 6:37 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 20 + 20 - k - 11 + 21 in the form c + m*k and give c.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 - (-8 - -107) - -46.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/9734 or 1?\nAnswer: -5\/9734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -19*b**2. Let c(k) = 5*k + 3. Let d(n) = -9*n - 5. Let t(z) = -5*c(z) - 3*d(z). Give t(j(u)).\nAnswer: -38*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/26)\/(((-800)\/(-832))\/(-25)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -12)*-9 - 14\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 5*b + 3071, 5*h = 2*b + 5131. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789917983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16452 + 16446. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2517 is divided by 125?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18633*a = -18535*a - 6860 for a.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + (-20)\/(-8))*(-30)\/3. Suppose -p*z = -5*g - 8*z + 1202, -3*z + 238 = g. Suppose -4*r = 4*n - 1436, -r + 110 = 5*n - g. Is r a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -349745, -2 in descending order.\nAnswer: 5, 2, -2, -349745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -239 + 247. Suppose 0*n = t*n - 976. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -526356 (base 7) to base 13\nAnswer: -325c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867 is divided by 202?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74, 125, 192, 281, 398, 549, 740?\n\"Answer: v**3 + 2*v**2 + 38*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 1 + 5*s - 2*s. Suppose 0*y + 4*l = -4*y + 24, -3*y = -4*l + 17. Let d be g(y). What is the biggest value in -0.5, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {r: 2, q: 17}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.066 equal to -4819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7129?\nAnswer: 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*g + 706 + 260. Suppose 0 = 5*h + 4*t + g, -2*h = 3*h - 3*t + 9. Let w(y) = -y - 6. Let c(b) = -b - 5. Calculate h*w(l) + 4*c(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (62\/(-93))\/((-2)\/(-12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) + 1*sqrt(120) - sqrt(120))\/sqrt(10) - sqrt(12)) + sqrt(132)\/sqrt(44))\/(1*(sqrt(4) + (sqrt(20)\/sqrt(5) - sqrt(4))) + 1*sqrt(144)).\nAnswer: sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**3)\/x*x*x**(2\/13)\/x)\/(x**4*x**(-3\/7)))\/(((x**(-2\/5)\/x)\/(x**(2\/11)*x))\/(x**(-1)\/x)**(4\/5)) assuming x is positive.\nAnswer: x**(7829\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 24 = 3*g. Let s = 5 - g. Let p = s + 1. Put -5, p, 4 in increasing order.\nAnswer: -5, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 661, 10, -1077, -2600, -4559, -6954, -9785?\n\"Answer: -218*x**2 + 3*x + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -28. Suppose -k = -d - 4*d. Solve -y + 1 = d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*c + 4, -3*u + 2 = 4*c + 8. Suppose 4*t = -3*v + 2*t + 13, v + 2*t - 7 = c. Solve 0 = -0*k + 4*k + v*j + 1, 5*k - 5*j - 25 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132536 + 65712.\nAnswer: -66824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/3 + 9)*(-54206)\/4. Let t = -1897 + y. Round t to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-1) + -10 + 10. Calculate the greatest common factor of 49 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -91 + 7e?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (600\/14)\/(-5*(-49)\/(-297912650)). Round a to the nearest one hundred thousand.\nAnswer: -52100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.71 - -11. Is -2\/5 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2, -3, 155 in descending order.\nAnswer: 155, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -394 + 397. Let s(u) = -93*u + 3. Let h be s(2). Let r = -912\/5 - h. Sort r, -2, b.\nAnswer: -2, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 1:48 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -749, -748, -747, -746?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22687150637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11 and -3.8515683984?\nAnswer: 14.8515683984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -38. Let t be c\/(-3) + (-3638)\/(-6). Suppose -p = -6*p + t. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + 1*2*sqrt(448) + -4 + 2)*-4.\nAnswer: -64*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29807 or -8\/15?\nAnswer: -29807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5.3, -0.3, -12, 5\/2, 0.5, -2\/5, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 1. Suppose -y*l = -0 - 35. Suppose 4*n - 21 = n. What is the lowest common multiple of n and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2\/13 (c) 1.041 (d) -1\/8 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.203990579 and 0.17?\nAnswer: 0.033990579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, and 1 f when three letters picked without replacement from {r: 2, t: 1, l: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -12ae7?\nAnswer: 12ae1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/3 + 56638*a**3 - 41414720*a**2 + 22811089408*a\/3 = 0. Calculate a.\nAnswer: 0, 368, 84221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2404 = -50*y + 54*y, 5*y - g - 2985 = 0. Let j = -565 + y. What are the prime factors of j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4713?\nAnswer: 3, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8686*r - 387. Let k(g) = 45*g - 2. Calculate -774*k(h) + 4*m(h).\nAnswer: -86*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -36. What is the tens digit of (143 + (r - 1))*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**5\/20 - 7*y**4\/12 + 34*y**2. Let k(p) = p. Determine t(k(v)).\nAnswer: 3*v**2 - 14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 8. Let t be l(4). Suppose 0 = -t*q + 8 + 16. Suppose -92 = -3*d + 2*x - q*x, 3*d + 5*x - 91 = 0. What are 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 distance between 164366039 and -28.3?\nAnswer: 164366067.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2037 + 17259. Is 59 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + s**2 - s + 1. Let q(y) = 33*y**4 + 27*y**3 + 27*y**2 - 27*y + 117. Let j(d) = 54*h(d) - 2*q(d). Differentiate j(p) with respect to p.\nAnswer: -264*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -78 - 5c6c?\nAnswer: -6017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + 3.06. Let h = 3 - -2. What is the second smallest value in h, w, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*q + 445*q - 9917 + 9917.\nAnswer: 137*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76935*t**2 - 11*t - 3154?\nAnswer: -153870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32c587 (base 15) in base 13?\nAnswer: -66a027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20083364?\nAnswer: 2, 7, 59, 12157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204894)\/125213)\/((-6)\/(-374)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - f**2 - f - 1. Let c(v) = -5*v**3 - 6*v**2 - 4*v - 9. Let j(x) = 30*x - 114. Let w be j(4). Let n = 1 - 2. Give n*c(i) + w*g(i).\nAnswer: -i**3 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 6*k**2 + 5*k - 3. Suppose 1 = -4*w + 13. Let i = w + -8. Calculate t(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160884 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 449065 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5113 divided by -2511\nAnswer: 5113\/2511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254367893 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 20*m**2 - 11*m + 18. Does 20 divide l(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**2 - 21*p + 8. Let u be j(-5). Let d(y) = -y**3 + 13*y**2 - 2*y + 27. Let z be d(u). Solve -q + z = 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -266 - -239. Let s = -66567303.999989 - -66567277. Let w = r - s. What is w rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**4\/12 + r**3\/2 + 3*r**2\/2 - 19*r + 59. Let s(v) = -10*v**2 + 6 + 5*v**2 + 7*v + 8*v**2. Give -2*s(a) + 5*z(a).\nAnswer: -a**2 + a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-21\/5)*q)**0\/((((q**(-1\/23)\/q)\/q)\/q*q)\/q**32) assuming q is positive.\nAnswer: q**(783\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 7*y**2 + y + 17. Let i be a(7). Suppose 28 = 2*c - z + 7, -3*c + i = z. What is the smallest common multiple of 2 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 47 (c) -0.03 (d) -226 (e) 3 (f) 68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2147364 and 281961?\nAnswer: 380083428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623546 less than 1623548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4, -5634, 704?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 q when four letters picked without replacement from {v: 5, q: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**6\/120 + c**5\/10 + c**4\/6 - 4*c**3\/3 - 13*c**2. Let b be q(6). What is the highest common factor of b and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154361772.\nAnswer: 2, 3, 31, 157, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 8*v + 1. Let w(f) = f**2 + 9*f - 2. Let d = -73 - -78. Let r be -2*(d + (-21)\/3). Let q(k) = r*w(k) + 5*g(k). Suppose q(i) = 0. What is i?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*z - 4*z - 5 = 0, -7 = p - 4*z. What is the hundreds digit of 3*p + 3936\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3359 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -30.73. Let w = n - 2.27. Let r be -3 + ((-230)\/(-14))\/5. Which is the nearest to -1\/2? (a) 5 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/20*-45*1. Let i = r + -13. Solve 4*s - 9*s**3 + 7*s**5 - 2*s**i + s**3 - s**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 483.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k + 44*k = -3*u - 12, k = -4*u + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 2. Let c be 36\/(-27) - (-4)\/(-6). Let f be (2\/6)\/(c\/(-12)). Suppose t = 2*t + f. Calculate j(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13) - sqrt(91)\/sqrt(112)) + sqrt(13) + (sqrt(13) - -5*sqrt(39)\/sqrt(3)).\nAnswer: -1 + 31*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 29 = -4*n, 0 = 3*n - 4*d + 2*d - 23. Let f(g) = g. Let t be f(6). Let y = n - t. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 4\/6) + 2\/(-6). Suppose y*w + 5 = w, 0 = -5*a + 2*w + 35. Calculate the remainder when 22 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393675177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**2 + 16529*t + 66200. Calculate z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1155313.71 to the nearest one thousand.\nAnswer: -1155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -321, 2, -10, 7 in increasing order.\nAnswer: -321, -10, -6, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i - 99*i - 11*i to the form d*i + k and give d.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -430*w**2 + w. Let n(f) = -2*f. Calculate u(n(x)).\nAnswer: -1720*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85785890?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z + 12030 = -5*u + 12235, 0 = -5*u - z + 120 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 1\/9, 0.3, -5 in increasing order.\nAnswer: -5, 1\/9, 0.3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -13*o - 5. Let u(c) be the first derivative of c**2\/2 + 21. What is u(h(n))?\nAnswer: -13*n - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977950669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -714 + 750. Put 3\/5, 4, l in decreasing order.\nAnswer: l, 4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o**2 + 5*o**2 - 4*o**2)*(-2*o**2 + 2*o**2 + 3*o**2) + 8*o**4 + o**3 + 193*o**4 - 73*o**4 to a*o**4 + g*o**3 + p*o + d*o**2 + j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55215 and 13247510?\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(6\/11))\/y)\/y**(-3) assuming y is positive.\nAnswer: y**(39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 124, 1096 in decreasing order.\nAnswer: 1096, 124, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 488?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61761.39 meters to centimeters.\nAnswer: 6176139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 4:28 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-13))**16\/(r*r\/(r\/r**(1\/2))*(((r\/(r**(-7)*r))\/r)\/r*r)\/r) assuming r is positive.\nAnswer: r**(435\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 9:26 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 2, r: 2, x: 4}. Give prob of picking 1 r, 1 i, and 2 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1883*p**3 + 3228*p**2 + 1614*p + 1614. Let h(k) = -k**3 + 2*k**2 + k + 1. Calculate g(q) - 1614*h(q).\nAnswer: -269*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 5*d**2 - 4*d + 11. Calculate i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, -162 in decreasing order.\nAnswer: 8, 2, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21602260 to the nearest integer?\nAnswer: 4648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 0*d + 45 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 12:22 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5\/5 + 2*o**4\/5 + 21*o**3 + 442*o**2\/5 + 652*o\/5 + 312\/5 = 0.\nAnswer: -6, -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 745379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1962460?\nAnswer: 2, 5, 98123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -234*h + 13. Let f(q) = 19*q**2. Calculate c(f(p)).\nAnswer: -4446*p**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453, -3651, -12361, -29349, -57381, -99223, -157641, -235401?\nAnswer: -335269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12855 + -12850. Which is the fourth biggest value? (a) -2\/15 (b) y (c) -0.4 (d) 3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/5 (b) 5 (c) 738 (d) 1\/6 (e) -4 (f) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a51a (base 11) to base 10.\nAnswer: -57859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -l + 593. List the prime factors of l.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20.098*103.3\nAnswer: 2076.1234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-2\/39))*z**(-3\/10)*z)\/(z**(-11)*z*z**(-3\/10)))**46 assuming z is positive.\nAnswer: z**(19642\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.6 - -1.6. Let o = 7 + m. Let g(w) = w**2 - w - 1. Let v be g(0). Sort v, -2\/5, o in increasing order.\nAnswer: o, v, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6029 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1688 is divided by 698.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 628 and 6594?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/60 and 65\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224 (base 7) to base 16.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3 - 3*m + 2*m - 3 - 3. Let i be o(-1). Sort -3, -2\/9, i.\nAnswer: -3, i, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -218929*k**3 + 497589*k**2.\nAnswer: -1313574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 6 + (-3 - 1 + 5)*(37 - 316 + 134))*(5*o**2 - 3*o**2 - o**2) to the form p*o**2 + g + i*o and give p.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*j**4 - j**4 + 3 + 4*j**4 - 2*j**4 wrt j?\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Let g = -136 - -14. What is the remainder when 0 - g\/(1 + i) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/v**(-4))\/((v\/((v\/(v*v**(1\/7)))\/v*v*v*v)*v)\/v**5) assuming v is positive.\nAnswer: v**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6053865 a multiple of 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29402.149925 from 0.\nAnswer: -29402.149925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 + 5*q + 107. Let u be d(-6). Solve 28*y - u = 33*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19406760 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6*s - 864. Suppose 3*x = -4*j - 2 + 191, -3*x + s = -5*j. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 1. Let c(d) = d**3 - 4*d**2 - d + 4. Let j be c(4). Suppose 2*x = -6*m + m + 2, j = 2*x + 4*m - 2. Give s(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*13\/((-195)\/10)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10409373?\nAnswer: 3, 13, 88969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 15.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (36 - (37 - 3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.5 - 1.5. Is -1\/4 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1322 + 3236?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 1, z: 1, w: 1, l: 1}. Give prob of picking 1 l and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4954*n**2 - 7315*n**2 + 1217*n**2 + 59*n**2.\nAnswer: -10993*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 131395, 131341, 131307, 131299, 131323, 131385, 131491, 131647?\n\"Answer: c**3 + 4*c**2 - 73*c + 131463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(5)*2 + -3)**2.\nAnswer: -48*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -461 + 923\/2. Which is the second biggest value? (a) -1 (b) -1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knnk. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 258 and (3*5\/(-10))\/(594\/(-84) + 7).\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16596 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 188 = -5*x + 27, 51 = 2*x + 5*l. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5 + 146*s**4\/9 + 18*s**3 - 434*s**2\/9 - 20*s + 32 = 0.\nAnswer: -6, -3, -1, 8\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(576)*2)\/((sqrt(12) + sqrt(12) + sqrt(144)\/(sqrt(12)*2) + sqrt(12) + sqrt(12) + sqrt(12))*2).\nAnswer: 80*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.76 - 6.794. What is the nearest to 0.2 in m, 1.9, -5, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*i + q - 23, 0 = 4*i - 5*q - 44. Suppose i*h = 14*h - 6. Find k, given that 8\/5 + 2\/5*k**2 - 2\/5*k**4 + 2\/5*k**5 - h*k**3 + 16\/5*k = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -6 + 4 - ((11 - 7) + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 74 = y, 3*y + 44 = -r + 3*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3278 is divided by 3240?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2. Let j(q) = -q + 389. Determine j(h(a)).\nAnswer: 2*a**2 + 389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/17))\/f)\/((f*f**(-1))\/f))\/(f\/f**(1\/4)*(f*f**(1\/4))\/f)*(f**(1\/13)\/(f**(9\/4)*f))**(-2\/39) assuming f is positive.\nAnswer: f**(259\/5746)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*j + 0*j - 556 = 0, 0 = -3*q - 2*j + 1617. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*19\/((-342)\/12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3189.2 to the nearest ten.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**2\/2 - 69*m\/2 - 189 = 0?\nAnswer: -14, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*r + 170, -3*y - 2*r + 537 = r. What is the highest common divisor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 2, 136, -1 in increasing order.\nAnswer: -1, 1, 2, 3, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1859525.\nAnswer: 5, 74381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.5949446\nAnswer: -2.3797784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:49 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(1\/18)\/b)*b**(-5\/7))\/(b**(-28)\/(b*b*b*(b\/(b*b*b*(b\/b**(3\/2))\/b*b*b*b*b)*b)\/b)) assuming b is positive.\nAnswer: b**(1684\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/5)\/(6\/(-4)). Suppose m*f - 3*f = 0. Suppose -4*t + 11 + 13 = f. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 7*g**2 - 7*g + 9. Let s be p(6). Differentiate -2*x**s + 7*x**3 - 4 + 5 - 4 wrt x.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*m - 46*m + 99 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n = 0. Suppose o + 33 = 5*o + q, n = 4*o + 5*q - 37. What is the remainder when 30 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 50 = -4*d - 0*d, 4*d = 4*k - 220. Calculate the greatest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + k)*((41 + 157 + 55)*(2 - 2 + 2)*(4 - 3 + 0) - 4 + 16 + 1).\nAnswer: 519*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16926 * -0.01.\nAnswer: -169.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -20 + 10. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*w = -0*h - 37361, 3*h - 5*w + 56034 = 0. Let z = h + 914941\/49. Find the common denominator of z and 30\/49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, u: 5, a: 3, k: 1, y: 1}. What is prob of sequence uykw?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 165*o - 48. Does 106 divide s(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(19) + 1)*2)**2 + 1.\nAnswer: 8*sqrt(19) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**6\/3 + 486*g**5\/5 - 118*g**3\/3 + 11*g**2\/2 + 4023. Find the third derivative of c(y) wrt y.\nAnswer: 120*y**2 + 11664*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 529*v*z**3 + 3*v*z**2 - 33015*v*z + 9*v + 23*z**3 + 4*z**2 + 4*z wrt z?\nAnswer: 3174*v*z + 6*v + 138*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(-2)\/(8\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*0\/16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 26*f**3 + 73 - f - 40 - 37 + 2*f**2. Does 35 divide u(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9))**(-39\/4)\/(o**(4\/17))**(-2\/7) assuming o is positive.\nAnswer: o**(41801\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**5\/30 + t**4\/24 + t**3\/6 - 4*t**2. What is the least common multiple of ((-4)\/12)\/(2\/(-42)) and w(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence peye when four letters picked without replacement from eeeeepppeeyepe.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/15 + 2*a**3\/3 - 16*a**2\/15 + 8*a\/15.\nAnswer: -2*a*(a - 2)**2*(a - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**4 + s**4 + 6*s**4)*(6*s - 3*s - 4*s) - 3*s**5 - 3*s**5 - 4*s**5.\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiww. Give prob of sequence ikw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 42 = -5*m + 20, 13 = n - 2*m. Let s = 15.76 - -0.24. Let r = s + -15.6. What is the third smallest value in n, -1, 4\/7, r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*d - 48 = 0, 0 = 24*u - 23*u - 8*d + 24. Let p(j) = -4*j - 5. Determine p(u).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -775.0867 + 775. What is d rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-nine thirds of a hour?\nAnswer: 94800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6768124670 rounded to the nearest one million?\nAnswer: -6768000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.82 - 2.94. Let y = p - 0.24. Let w = 8 + y. Which is the closest to 1? (a) -2\/7 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 13 + -1 - (-812 + 854 - (25 - 2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101101111101111 (base 2) to base 10.\nAnswer: -318447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43231 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k + 6 = 2*r, 4*k = -5*r - 57. Let i(f) = -7*f - 51. Let c be i(k). Solve -2*z - 6 = -2*j, z = 2*j - 0*j - c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 169988 and 117684?\nAnswer: 1529892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -1\/2*s**2 - 2 + 0*s + 1\/6*s**4 + 0*s**3. Let p(k) be the second derivative of n(k). Let c(m) = 2*m**2. Give p(c(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*u**4\/8 - 31*u**3\/8 + 3*u**2 + 2*u.\nAnswer: -u*(u - 1)*(u + 4)*(9*u + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 317 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28773, -56962, -84033, -109428, -132589?\nAnswer: -152958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -15*a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnu when three letters picked without replacement from fruufkuukyrn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30989102?\nAnswer: 2, 727, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 13*z**3 - z**4 - 6*z**3 - 2*z + 0*z + 6*z**3 in the form j*z + f*z**2 + t + s*z**3 + p*z**4 and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 5*q**3 - 11 - 4*q**3 + 21 - 3*q**4 - q**2 + 2*q in the form t*q**3 + n*q + w*q**2 + y*q**4 + m and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243 and 10692.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 6697?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 f when three letters picked without replacement from {f: 2, g: 3, p: 2, c: 6}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -21*v**3 + 24*v**2 + 5*v - 28. Let c(m) = 10*m**3 - 11*m**2 - 2*m + 13. Calculate 13*c(h) + 6*d(h).\nAnswer: 4*h**3 + h**2 + 4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 12971 = 24*g. List the prime factors of g.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/75)\/((-4)\/10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -13 + -20 + 30\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145 - 142. Put 1, -19, -2, j in increasing order.\nAnswer: -19, -2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b + 26 = -4*b - 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -229 + -68. Let w = h + 295. What is the second biggest value in -4, -50, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and (-10 + (0 - -2))\/(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98199923 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/20 + 7*p**4\/12 + 5*p**3\/6 - 7*p**2\/2 - 3*p. Let a be y(-6). Is -2*(a - -2) - -159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 0*g**3 - 1\/60*g**5 + 0*g**4 + 0*g + 0 + 4*g**2. Let j(h) = h**2. What is j(i(p))?\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -2)\/((-1)\/(-3)). Let q be (-1)\/(3\/w) + 2. Find the third derivative of 4*l**2 - 4*l**2 - l**q - 3*l**2 wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/15)*s)**31)**48 assuming s is positive.\nAnswer: s**(8432\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10000000101?\nAnswer: 10000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306\/(-459)*12\/22*1\/2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -10. Let l be 2\/u + (-124)\/(-44). Solve 5*n + 12 + l = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2978 (base 15) in base 5?\nAnswer: -241023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -21. Let s(n) = n - 1. Let p(t) = 8*t - 4. Let g(w) = k*s(w) - p(w). Find the first derivative of g(x) wrt x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 14*m**3 + 16*m**2 + 8*m - 1. Let y(v) = -31*v**3 - 32*v**2 - 15*v + 3. Let h(a) = -11*q(a) - 5*y(a). Give h(17).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**(-34))**(-2\/91)*(h**(-2\/5)*h)**(-18)*(h*h**(-3\/8)\/h)\/h*h*h**1 assuming h is positive.\nAnswer: h**(-42477\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 16) to base 15.\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484929 is divided by 1002.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2055 + 28?\nAnswer: -202b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1799 - 17969\/10. Find the common denominator of -26\/55 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**3 + 410188560*w**2 + 10515915511991028*w - 21031832664736328 = 0.\nAnswer: -51273571, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 14258\/715?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Let j(r) = -3*r + k*r + 7 - 13. Let y be j(-3). Which is bigger: y or -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**8\/840 - t**6\/90 + t**3\/3 - 5. Let o(q) be the third derivative of h(q). Find the third derivative of o(f) wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103.37 - -103. Let n = 646 + -649.63. Let l = q + n. Sort 1.4, l, -2.\nAnswer: l, -2, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2580 and 2580 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**4\/12 + 17*w**3\/6 + 37*w**2\/2 + 14*w. Let z be y(-14). Which is the smallest value? (a) -17 (b) 0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5875056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24852 is divided by 24814?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 247612404 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 4 - 16. Does 16 divide g\/3*141\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-13 - (-11 - (-5 + -12 + 14 + 15))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -16*a**2 + 8*a - 158. Let u(c) = 5*c**2 - 3*c + 50. Let l(t) = -6*b(t) - 19*u(t). What is l(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 5 (c) 702 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 65*u + 696. Let c be i(9). What is the highest common divisor of 1001 and c?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 1 = -f, 3*f - l = 8*f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8259 rounded to two dps?\nAnswer: 1.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481663281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-5))\/(3\/(-15)). Let y be (2 - -3) + -20 + -2. Sort -3, y, x in decreasing order.\nAnswer: -3, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 30 = 7*p. Let l be (-1 - p) + 1*(6 + -4). What is the greatest common divisor of 63 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 1 = r - 5*p, 0 = -4*r - 4*p - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/10*(1 - 2). Let j = 29.8 - 27. Let k = j - -0.2. What is the third biggest value in f, 5, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/4, 7\/5, 1\/9, 0.08, 3 in descending order.\nAnswer: 3, 7\/5, 1\/4, 1\/9, 0.08, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6097 is divided by 6035?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -514 - -513. Let z = 31 - 31.28. Let j = z + 2.28. Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.093809058 + 134.\nAnswer: 133.906190942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.9 - -44. Let c = -16.87 + i. What is c rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vggvvvviggig. What is prob of picking 1 v and 1 g?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/20002 and -7\/38?\nAnswer: 380038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:38 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/5))**(-22\/5) assuming n is positive.\nAnswer: n**(-44\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*s + s. Suppose -3*c = 5*t - 1, s*t - 7*t - 15 = -5*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -500, -645, -790, -935, -1080, -1225?\n\"Answer: -145*j - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k - 10. Suppose -k*a - 4*s = -112, -2*s = 5*a - 7*s - 250. Let q = a - 4. Calculate the greatest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90, 171, 242, 297, 330?\n\"Answer: -x**3 + x**2 + 85*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 + 2*h**2 - 2*h + 1. Let w be o(1). Let t be ((-3)\/9)\/(w\/90). Let a(f) = -f**3 + 15*f**2 + 9*f + 20. Is a(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6326154, -6326163, -6326172, -6326181, -6326190, -6326199?\nAnswer: -6326208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217880 is divided by 1159?\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 96 = -2*a - 0*h, -222 = 5*a - 3*h. Let f be (-16 - -1)*a\/(-35). Is -18 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -571 + 571.000909. Round z to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 6206?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807148173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850495096?\nAnswer: 2, 11, 9664717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 419*k - 2514. Let h be j(6). Solve 9*s + 2 - 20 = h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 2. Let d = -11 - -13. Solve -3*s = d*u + 14, -2*s - 9 = n*u + 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 - 5*c**2 - 5*c - 2. Suppose -2*l + 20 = 2*l, -t + 5*l - 28 = 0. Calculate the remainder when x(t) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 3. Let s be d(-2). Let o be -1 - s - 24\/2. Let u(v) = -71*v + 27. Is u(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwwuwwwwwwwwwwwuw?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/123 and 97\/9612.\nAnswer: 394092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 - 23 - 33 - 5*g**2 + 7*g**2 as j*g + w*g**2 + q and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -4 + 2 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, -4, 17563131?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**6\/18 - w**5\/15 - w**4\/6 + 2*w**3\/9 + w**2\/6 - w\/3 + 6. Factor f(r).\nAnswer: (r - 1)**3*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = n + 2*b, -n + 137 = 2*n + b. What is the third derivative of 8558*i + 3*i**2 - n*i**3 - 5*i**2 - 8449*i wrt i?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 0*n - 39*n + 1215 = 0. Solve 0 = -g - 2, -5*g + n - 45 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 7*b - 3*b. Suppose -3*d - 2*k = b, 10 = -d - 4*k - 2. Suppose d = -o + 4. Calculate the least common multiple of o and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - -109) + -11 + (-30 - -14)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -49. Which is the nearest to t? (a) -1\/2 (b) 4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/9*48\/(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 0, m = -5*f - m + 225. Let c be 364\/(-18) + 10\/f. Let q = c + 36. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102063 (base 7) to base 11\nAnswer: -121a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 105 - (6 - 3 - 6). What is the highest common factor of 24 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 33021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83880.\nAnswer: 2, 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 18*z - 23. Let l be x(-19). Let t(b) = -19*b - 1. Let u be t(1). Let p = u - l. Solve 4*d = -2*q - p, -q + 6 = -d - 2*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 862, 866, 870, 874?\n\"Answer: 4*g + 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5844786 (base 10) in base 12?\nAnswer: 1b5a496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:23 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 7. Let d be t(-3). Solve d*o + 9 = 3, -3*k + 9 = 2*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.252 - -0.017. Let n = g - -26.235. Which is the fourth smallest value? (a) -0.5 (b) -4 (c) -2 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3*o**2*q**3 + 203230884*m**3*o**2 + 21*m**2*o*q + 23234*m*o*q**3 - 65*o**2*q**3 wrt m.\nAnswer: -6*o**2*q**3 + 1219385304*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**3\/3 + 3848*v**2\/3 - 1839290*v\/3 - 3724900 = 0.\nAnswer: -6, 965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138748 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 34*c**2. Let k(x) = 12*x + 55. Let n(s) = 11*s + 84. Let u(w) = -3*k(w) + 2*n(w). Calculate j(u(o)).\nAnswer: 6664*o**2 - 2856*o + 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**3 + 6*k**2 + 5*k - 2. Let i(v) = 8*v**3 + 7*v**2 + 4*v - 2. Calculate 5*i(n) - 6*w(n).\nAnswer: -2*n**3 - n**2 - 10*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*q = 447, 20*q - 25*q = 4*h - 1744. What are the prime factors of h?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-740)\/(-2590) + (-131)\/(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-19 + 3689\/186)\/(15\/4).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 686*f + 6. Let j(b) = 137*b + 1. What is -11*j(c) + 2*v(c)?\nAnswer: -135*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 1 + 2 - sqrt(98)) + -1 + sqrt(98) + sqrt(98)*1 + 4*-2*sqrt(12)\/(sqrt(18)\/sqrt(3)) + 3)**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*y + 18*y - 17*y**2 in the form p + i*y**2 + x*y and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Let f be (-3 - -1)*-4 - 3. Suppose -i - f*r + 6 = 0, 4*i - 4 = 5*i - 5*r. Solve -j = -i + x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26140 to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19 and 551.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4074 + 0.1074. Let k be (-34)\/70 - 14\/(-49). Which is the closest to -3? (a) k (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2655 and 1440?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1548)\/60 + 11\/(-55) + -2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-87 + 100 - 352)*(20*f**2 - 3*f**2 + 3*f**2)*(-2 - 4*f**2 + 2) to h*f**2 + x*f + s*f**3 + p + v*f**4 and give v.\nAnswer: 27120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1296)\/80 - 2\/(-10). Let s be (6\/(-12))\/(2\/w). Solve -s - 6 = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 8*x**2 + 7*x + 2. Let a be v(7). Let b be (0 - 0\/a)*-1. Find c such that -8*c - 4 - c**3 + 0*c**2 + b*c**3 - 5*c**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33500b (base 13) to base 9\nAnswer: 2244514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -95034?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/13 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 1\/12*n**4 + 3*n**2 + 0*n**5 + 0*n + 0*n**6 + 0 + 1\/70*n**7 + 0*n**3. What is the second derivative of j(g) wrt g?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 15. Let x(n) = 3*n - 1. Let s(j) = 2*j. Let f(i) = t*s(i) + 5*x(i). Let m(u) = 2*u - 3. Give -3*f(l) + 5*m(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 19a7a?\nAnswer: 19a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -675111?\nAnswer: 3375555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**18)\/(s\/s**(-9\/10)) assuming s is positive.\nAnswer: s**(-189\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2038 a factor of 20028047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 11:01 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4 - (-2 - 11\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/11 - 3996*g\/11 + 9133760\/11.\nAnswer: -2*(g - 1360)*(g + 3358)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-52)\/(-9) - (-28)\/126. Solve -2*h + l + 4 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**2 - 11*q. Let y(l) = -4283*l. Determine k(y(g)).\nAnswer: -36688178*g**2 + 47113*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-8 + -1 + -13 + 9 + 5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 23. Let i = -51.97 + 52. Let w = i + m. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3538.09 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**2 - 44152*b - 44156 = 0. Calculate b.\nAnswer: -1, 11039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -98 (base 16) to base 6\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Suppose 3*v - 128 = 4*x, -v - s*v - 2*x + 152 = 0. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**2 - 7*z + 7. Let a be 4 - (23 - (3 - 5)). Let t = a - -16. Let h(r) = 3*r**2 - 3*r + 3. Let p(y) = t*h(y) + 2*q(y). What is p(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -37*s**2 - 2*s - 16. Let m(v) = -1485*v**2 - 81*v - 639. What is 81*h(p) - 2*m(p)?\nAnswer: -27*p**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*s = -48, 2*c + 0*s = 7*s + 96. Solve -2 = c*n - 49*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-453 - -448)\/(-6 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**5\/20 + 21*t**4\/8 + 36*t**3 + 34*t**2 + 3*t. What is i in a(i) = 0?\nAnswer: -3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**4\/24 - a**3\/2 + 4*a**2. Let k be 6\/((-21)\/6 - -2). Calculate g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*a = 67, -a - 38 = -4*h - 3*a. What is the least common multiple of h and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151 - -204. What is the units digit of 14*h - (-12 - -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000015263 rounded to seven dps?\nAnswer: -0.0000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**5 + r**2 + r + 1. Let q(g) = 16*g**5 - 8*g**4 - 2*g**3 + 6*g**2 + 6*g + 6. Let x(w) = -6*k(w) + q(w). Determine l so that x(l) = 0.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/2361 or -1?\nAnswer: -2\/2361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32360*o**2*p**2 + 764*o**2*p + 124936471*o**2 - 2*p with respect to p.\nAnswer: -64720*o**2*p + 764*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3712 = -31*j. Suppose -3 = 2*g + 125. Let v = g + j. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.966047um to centimeters.\nAnswer: 0.0008966047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, x: 5, m: 1, d: 2, a: 3, j: 3}. Give prob of sequence dmjd.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5876 + 5879. Suppose -4\/7*z**2 + 0*z + 0 + 2*z**o = 0. Calculate z.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, 754.\nAnswer: -5, -2, 1, 754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d + 462. Is 33 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2997, -5043, -7089, -9135, -11181?\n\"Answer: -2046*k - 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 2*h + 2*h)*(h**2 + h**3 - h**2) + 451*h**3 - 451*h**3 + 68*h**4.\nAnswer: 67*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/15 + 84\/(-20). Let v be (-1074)\/(-9) + ((-20)\/6)\/q. Suppose 0 = -i - 3*i + 96. What is the highest common factor of i and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36474749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wppa when four letters picked without replacement from fpwapppafwwpapp?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 8*n - 3. Let t = 16 - 8. Let u be g(t). Is -1 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2550\/(-71145))\/(20\/(-12))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - 30. Let u = 95171 + -95209.951. Let j = l - u. What is j rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25507 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: Let p be (-7 + 0 + 11)\/2. Let g(r) be the third derivative of 0*r**7 + 0*r + 1\/1344*r**8 + 0*r**4 + 0*r**3 - 1\/480*r**6 + 0*r**5 + 4*r**p + 0. Factor g(a).\nAnswer: a**3*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000222 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21350, 85437, 192248, 341783, 534042?\nAnswer: 769025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 - ((-155328)\/864 - -55).\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 6:21 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1989.68574 hours in weeks?\nAnswer: 11.8433675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107331451?\nAnswer: 107331451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/19, -1\/3, -0.3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-30 - (9 + -27))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -0.02, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32421*y + 65182*y - 1173 - 34718*y with respect to y.\nAnswer: -1957","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c - 949. Let d be z(-84). Which is smaller: 20 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -42. Let d(p) = -p**3 - 4*p**2 + p + 4. Let y be d(g). Suppose y*w = 3*w + 7*w. Solve -5*i + i = w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23\/5 - 41\/10. Which is greater: -30 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + d + 1. Let i = 185 + -180. Suppose 2*a - i*l + 8 - 1 = 0, -5*l + 15 = 0. Let t(b) = 6*b**2 + 4*b + 4. Give a*u(z) - t(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 - 150.58. Which is the fourth biggest value? (a) -2 (b) i (c) 1\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3007.\nAnswer: 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11676, 27312, 42950, 58590?\n\"Answer: a**2 + 15633*a - 3958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/117025 and 41\/9815?\nAnswer: 1521325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -2)\/((-1)\/4). Suppose 3*i - c = 11. Solve -i*y + 30 = 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4723591.\nAnswer: 4723591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - -36) + -8 + 34 + 0 + 4 - -13.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + w**2 - w + 2. Let h be g(0). Is h not equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3083 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6034751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -133 times 193\nAnswer: -25669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 18*j - 32. Let r(i) = -6*i**3 - 2*i**2 + 48*i + 49. Let m be r(-1). Give l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2961363\/70 - 208117\/5. Let b = i - 681. Calculate the common denominator of b and 8\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2926\/513*6\/756*-4 and -155\/756.\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/2*(-16)\/112. Which is the fourth smallest value? (a) 0.3 (b) 0.2 (c) 112 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -611 + 127 = -4*l. Suppose 116*b - l*b = 5. Put -2, -12, 1, b in descending order.\nAnswer: 1, b, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4917557.\nAnswer: 4917557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11661 - -15.6.\nAnswer: 11676.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4825 - -9848. Calculate the remainder when t is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 740 + -166. What are the prime factors of g?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1002 and 111753?\nAnswer: 37325502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6803 - -17785. What is the lowest common multiple of 8 and w?\nAnswer: 43928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 - l**2 + l. Let a be t(1). Factor -2\/3*h**4 + 4\/3*h**a + 0*h + 0*h**3 - 2\/3.\nAnswer: -2*(h - 1)**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(16\/160*25). Solve -2*o = -3*u + 2 - 12, -11 = -5*o + a*u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.78?\nAnswer: -0.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 5 (c) 0.3 (d) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (23 + -2)*41\/(-3). Suppose 0 = -5*o - 2299 - 251. Let x = c - o. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(32\/104) + (-3000)\/(-225).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881302 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -2*m**3 + 61*m. Let d(p) = 7*p. Let g(c) = 5*d(c) + 3*i(c). Let t(x) = -44*x**2. Calculate t(g(a)).\nAnswer: -44*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -657 (b) -2\/13 (c) 0 (d) -1\/2 (e) 3 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 302857211 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 329395291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38400 and 15360?\nAnswer: 76800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -167 (base 11) to base 2\nAnswer: -11000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233 + 1151.\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -996547\/91430 + -4\/9143. Suppose -3*o - 118 - 26 = 0. Find the common denominator of t and (-32)\/o + 94\/(-18) - 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19185 and 19185.\nAnswer: 19185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.61 - -0.6. Let z = -0.01 - f. Let p = -2.1 - -1.1. Is p bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2002*b - 2827. List the prime factors of j(12).\nAnswer: 11, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 - 4*i - 6. Let g(u) = u**2 + 3*u + 1. Let d(b) = -8*b**2 - 17*b - 7. Let w(x) = -d(x) - 6*g(x). Let y(c) = -s(c) - 2*w(c). What is y(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1878*x - 1878*x + 3*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 6*y + 4. Let i be d(6). Let a = -4 + i. Let g = a - -3. Put 1, -1, g in descending order.\nAnswer: g, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*m + 285 = 295*m - 372 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*3*(-552164)\/(-72) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40078*-0.3.\nAnswer: 12023.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33971024 rounded to the nearest 100000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-306)\/(-170))\/((-65)\/150 + 1\/3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -64 (b) -1 (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -4 (c) -0.5 (d) 1\/9 (e) -1\/4 (f) 2\/27\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.2 (c) -0.4 (d) 11.9 (e) -0.028 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-6))\/((-8)\/(-12)). Let u = -2.95 + -0.05. What is the nearest to a in u, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5583 or 5595?\nAnswer: 5583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-3) - 5\/((-75)\/31). What is the closest to -1\/4 in 3\/4, -1.9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**2\/2 - 7*h - 16. Suppose -j = -6*j. What is n(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69407 or 69405?\nAnswer: 69407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppssgvpwpwwpzww. Give prob of picking 1 z and 2 p.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 289 + -3759\/13. Let g be (63\/(-168))\/((-6)\/(-20)). Which is the nearest to n? (a) 2 (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - ((-2 - -2) + -5). Does 12 divide 33 + (-6)\/(1 - y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g. Let q(k) = -k + 13. Let n be q(9). Suppose -5*w - 8 = -n*p, 4*p + 4*w - 56 = -12. Let r be i(p). Solve -2*j - 2 = 0, v = 4*v - 2*j + r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.418429 to three dps.\nAnswer: -0.418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 - 20*m - 19. Give z(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*k + 1 + 7 = 0, -2*k = -2*s + 12. Let d = 1 + -1. Let l(u) = -u. Let r be l(-4). Which is the smallest value? (a) d (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -37, -9?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 3 = 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djwjqnwjqdddwnd. What is prob of picking 2 j and 2 d?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -1\/4 (c) -0.2 (d) -2\/15 (e) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*h + 16 + 8 = 0, 3*s - 3*h - 54 = 0. Suppose -2*g - 4*q = -244, 5*q + 41 - 646 = -5*g. Calculate the highest common divisor of g and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m*m**(-10)))\/m*m)\/(m\/(m*m*m**9))*m**(-2\/13)*m\/m**3 assuming m is positive.\nAnswer: m**(245\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 - (-24 + 29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5469311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88334 is divided by 78.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = k + k, -2*w - 2*k = -22. Solve -w*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10\/13, -1, -0.01, 5, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 1496072*v - 5984224.\nAnswer: -4*(v + 4)*(v + 374014)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -26571506 (base 8) to base 4\nAnswer: -112233031012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*u - 121 + 1, 3*u + 4*f - 123 = 0. What is the highest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127994 + -85610. What is the ten thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - -12 - (-43 - 465435\/15) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-72)\/(-2))\/(8\/20).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/45*2\/((-2)\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11138.\nAnswer: 2, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r - 15 = 77*r - 2*g, 0 = -4*r + 2*g - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - d - 4097, 4*d = -26*z + 29*z - 2448. What are the prime factors of z?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6\/n**(1\/4))\/((n*n**(1\/4)*n)\/n)**14*(n**2*n**(-1\/6))**(7\/5) assuming n is positive.\nAnswer: n**(-551\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 0 + (sqrt(363) + 1 - sqrt(363)) + (sqrt(3) + sqrt(36)\/(sqrt(84)\/sqrt(7)))*-3.\nAnswer: -sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 4 (c) 15 (d) -894 (e) 3 (f) 2\/5 (g) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(l**3 + l**3 - 3*l**3 + (l - 1 + 1)*(-5*l**2 + 2*l**2 + l**2) + 2*l**3 - 2*l**3 - 2*l**3).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -360*i + 171*i + 199*i - 48. Give y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = f + 1, -3*l + 26 = 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**5\/20 + 5*b**3\/6 + b**2 - 5*b. Is 10 a factor of d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*c + 2900 = -745*c + 520*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 7. Let b = z - 1. Solve b*o + 4*r = -8, -5*o - 4*r - 10 = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/219770 and -91\/835126?\nAnswer: 4175630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 71, 224, 521, 1010, 1739, 2756, 4109?\nAnswer: 5846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 368669383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 10*g**2 + 3*g - 24. Let s be l(10). Solve -x - 5 = -5*o, -8*o + 4*x + 2 = -s*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91\/((-27300)\/8)*175\/630\nAnswer: -1\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 - 4 - (-2 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208459.6 centuries to months.\nAnswer: 250151520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 407119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*f\/((f*f*f**34)\/f*f))\/f))\/f)\/f**(1\/39))\/((f*f*f**31*f)\/(f*f\/f**(3\/25)*f)) assuming f is positive.\nAnswer: f**(3758\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16.7 in 2, 4230, 0, -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 51*w. Let a(v) be the third derivative of 0 - 56*v**2 + 1\/60*v**5 + 0*v + 0*v**3 + 0*v**4. Give x(a(h)).\nAnswer: 51*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 4*u**2 + 3*u - 4. Let o be a(-4). Suppose -h = -4*q - 60, -75 = 5*q + 2*h - 0*h. Let t = q - o. Which is bigger: 1\/2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33, -65, -99, -135?\n\"Answer: -p**2 - 29*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1630953*t - 2*m = -1630798*t - 440, 5*m = 325 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(sqrt(5) + -1)*5)**2 + sqrt(180) + 1*sqrt(180) + -2 + sqrt(45).\nAnswer: -44985*sqrt(5) + 134998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7471 divided by -5?\nAnswer: -7471\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 5*o**2 + 316*o + 625. What is p(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3646*g**6 + g**2 - 5*g + 206 wrt g?\nAnswer: -437520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -102631.4 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzqc. Give prob of picking 1 z and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + b**3)*(-6*b - 4*b + 8*b) + 10*b**3 - 10*b**3 + 5*b**4 + 2*b**3 in the form p*b**2 + f*b**4 + s + r*b**3 + t*b and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -6)*(-20)\/(-3). Let g be (4\/(-8))\/((-2)\/j + 0). Put 3\/5, 2\/7, -2\/7, g in ascending order.\nAnswer: -2\/7, 2\/7, 3\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(374)\/(sqrt(44)\/sqrt(4)*-2 - sqrt(11)))\/(-1*sqrt(8) + sqrt(2) + -2*sqrt(32)) + -5)*-2.\nAnswer: -2*sqrt(17)\/27 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -19*c**2 + 2*c + 1. Calculate i(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6, 7*f - 6*f = 5*v + 2. Let l = -6 + 10. Suppose -2*o + 3*h + 149 = -2*h, l*h + 234 = 3*o. What is the remainder when o is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**14*z**(-2)*z*z\/(z\/(z\/(z**11\/z*z*z*z))*z) assuming z is positive.\nAnswer: z**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 g, and 1 x when four letters picked without replacement from {o: 2, m: 3, g: 3, x: 2, r: 5}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n + 9*n - 3*n - 6*n**2 wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 3, c: 2, p: 2, e: 4}. Give prob of sequence mme.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4347349269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 7) + -22 - 8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-88)\/(-220))\/(4\/2))\/(8\/30).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21.2 times 5\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 25 = -0. Suppose -5*s + 3*f + 2*f = -z, -s + 5*f = -13. Solve -s*y - 2*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-57 - 91672\/(-2128))?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfqnoom. Give prob of picking 1 m and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6237 - -6369. Let h be 17*2 - (-1)\/(-1). Calculate the greatest common factor of h and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)*p\/(p\/p**2))**(-40)*(p*p*p**(-2)*p*p*p**(-2\/5)*p)**(4\/17) assuming p is positive.\nAnswer: p**(-5898\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*g**5 - 14*g**5 + 7*g + 18*g + ((0*g - 3*g + 5*g)*(3 + 4 - 2) + 3*g + g - g)*(1 - g**4 - 1).\nAnswer: -15*g**5 + 25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -142*b**2 + 5262*b - 285. Calculate z(37).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1715131.\nAnswer: 11, 155921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64234.71m to millimeters.\nAnswer: 64234710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 80121, 80108, 80095, 80082, 80069, 80056?\n\"Answer: -13*f + 80134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 13 - 2 = 0. Let a = 17 + u. Suppose -3*d + a = -4*f + 27, -2*f = -4*d. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t - 4. Let h be (-72)\/42 - (-1 + (-18)\/(-14)). Let r be y(h). Suppose -638 = -2*u - 3*u - 2*n, r*n = 16. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -70*f**2 + 55. Let o(z) = 5*z**2 - 4. Let p(d) = -2*d**2 - 5*d - 1. Let m be p(-3). Give m*g(n) - 55*o(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 23228.07, 5, -0.3 in decreasing order.\nAnswer: 23228.07, 5, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 4*r - 36 + 19*r**2 + 14.\nAnswer: 19*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 10 = t - 0*z, 4*z = -8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-57)\/(-369) - ((-3)\/9)\/1 and -59\/5?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6791131 and -6791131 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 4, y: 3, k: 1, e: 1}. What is prob of sequence ky?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/264 and -139\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a1 - a237?\nAnswer: -a176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71 and 3763?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/11 (b) -20\/7 (c) -2.5 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 54519 - 134556 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 + 4*a**2 + 1 - 47*a + 51*a**2 + 46*a as c*a**3 + d + g*a**4 + t*a + s*a**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -113b3 (base 12) in base 11?\nAnswer: -16338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159057*m + 1 - 3 + 4.\nAnswer: 159057*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*2*(-56)\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/11)*x**(-1)*x**3*x*x*x**2*x)**(-1\/8) assuming x is positive.\nAnswer: x**(-43\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48952369*g**2*j**3 - 296*g**2 - 2*g*j**2 - 743*g*j + g + 2*j**2 + 2 wrt j?\nAnswer: 293714214*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*d + 311 = 0, -3*d + d + 287 = 5*b. What are the prime factors of b?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 1. Let n = -7.4 - h. Let g = 0.1 + -0.1. Which is the closest to -2\/5? (a) n (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.3 + -16. Let x be (-4)\/(-18)*(-30)\/20. What is the second biggest value in u, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3687\/656 - -815717\/147600. Calculate the common denominator of m and -47\/450.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1498*m - 810*m - 632*m.\nAnswer: 56*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 581 - 595. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -324 + 324.3. What is the closest to 2 in -3, -1, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**3 + 6*n**2 + 17*n + 14. Let w(g) = 5*g**3 + 7*g**2 + 16*g + 13. Let c(k) = -4*r(k) + 5*w(k). Suppose 2*j - 5*j = 27. Is 24 a factor of c(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.16, 5, -0.216?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (2*(-2*sqrt(66) - sqrt(66)) + sqrt(66))) + sqrt(66) - (1*sqrt(66)*-3 - sqrt(66)))\/((sqrt(36)\/sqrt(27))\/sqrt(2))*-2.\nAnswer: -66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22067441?\nAnswer: 11, 103, 19477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158353707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*j**3 + 5 - 3 - 2.\nAnswer: -133*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - ((1 - -1) + -3). Suppose -f - 9 + 3 = -3*p, 2*f + p - 9 = n. Factor -14*d**2 + 6*d + 2*d**f + 8*d**2 + 12*d**2 + 2.\nAnswer: 2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 10. Let v = f + 9. Let s = v - 12. Which is the third biggest value? (a) -1\/4 (b) -4\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43\/69 + -7273\/22632. Calculate the common denominator of -15\/14 and z.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29130713588 and 0.091?\nAnswer: 29130713588.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*c + 1\/3*c**2 - 2\/3 = 0 for c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10610000 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 37179867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - 6*z**2 + 0*z**3 + 2*z**3 - 5*z**3.\nAnswer: -3*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 4104 = -4181 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24\/167 or 0?\nAnswer: 24\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46)\/(-2) - (-9)\/(-3) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 0. Suppose -5*m = b - 20, -3*b - p*m - m + 50 = 0. Let a be (-2)\/10 - 57\/b. Which is smaller: a or -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b*b*b\/b**11*b)\/b*b*b)*b*b)\/(b\/(b*b**(-4\/29)*b*b)))\/(b*b**41*b*b**(-3\/4)) assuming b is positive.\nAnswer: b**(-3757\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15269403 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - u + 0*u)*(12229*u**2 - 22715*u**2 + 11474*u**2) + 3*u**3 - 6*u**3 + u**3 as f + q*u**3 + t*u**2 + r*u and give q.\nAnswer: -1978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -247*q**8\/336 - 53*q**5\/12 - 82*q**2 + 2. Find the third derivative of k(s) wrt s.\nAnswer: -14820*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3\/14)*w)\/w**3)\/(w**(2\/11)*w)**(7\/6))**35 assuming w is positive.\nAnswer: w**(-4150\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 7442.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3828 is divided by 255.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*6.5.\nAnswer: 32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -926 + 833.6. Let n = g + 219.7. Let r = n - 136. Round r to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1))\/i*i)\/i**(4\/7)*i*i**(1\/14)*i**(-7\/5) assuming i is positive.\nAnswer: i**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 118661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/99, 0.4, 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 25*k**4\/12 + k**3 + 7*k**2\/2 + 28*k - 1. List the prime factors of q(-5).\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -16*p**2. Let l be -2 - -13 - (-34 - 1)\/7. Let m(t) = 22*t + 7*t - l*t - 15*t. Determine m(d(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4\/45, 2\/3, -2, 35?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123441*-107.\nAnswer: 13208187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2016, -4025, -6034?\nAnswer: -8043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 379 = -17. Suppose 5*i = -i + o. Solve -1 + i = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.11, -30, 1.245?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.73 + 0.73. Let u = -5 - -5.3. Let l = 0.26 - u. Which is bigger: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -879 - -919. Solve 8*f + 64 = w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d + 40. Let k be o(-7). Suppose g + v - 4 + 3 = 0, 15 = -g - k*v. Calculate the smallest common multiple of g and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19853515 or -19853514?\nAnswer: -19853514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-2))\/(40\/80))\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111 + -60. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -571 + 833. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*q + 3*u, -2094*q + 2093*q - 6 = -4*u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 264 + 0*p + 1035 + p - 1817*p**2 - 244 + 340 wrt p?\nAnswer: -3634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 + 121 = 4*p. Let q = p + -35. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:49 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -41. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmgmqqqgqqqgqgqq. What is prob of picking 4 q?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (21 - 9 - 15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 2:07 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 8:35 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 12, 0 in decreasing order.\nAnswer: 12, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 1. Let y(k) = 5*k - 2. Let t(u) = 10*u - 5. Let p = 8 + -17. Let d(n) = p*y(n) + 4*t(n). What is d(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 2*i**3 + 0*i**3)*(i - 2*i + 0*i) - 4*i**4 + i**4 + 6*i**4 + i**3 - 2*i**4 - i**3 + (i + 3 - 3)*(-i**2 + i**2 + 3*i**3).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 13*o**2 + 3146*o - 8. Give s(63).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnvv when four letters picked without replacement from nvvnvvvvvvvvvvnvv.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 9 = 3*m, -5*m = -j - 2*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 9*q + 7. Let j be (-4)\/(1\/1*-1). Let p be i(j). What is the biggest value in 5, p, -0.4, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Let d(m) be the first derivative of m**3\/3 + 24. Determine d(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27900120 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f*f**(1\/3)\/f*f)**37\/((f*f**(-1\/3)*f)\/f)**(-1\/10))\/(f\/f**7*f*f*f**(-5)*(f\/f**(-1\/2))**(5\/2)) assuming f is positive.\nAnswer: f**(3313\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001000011 - 11101100010101?\nAnswer: -100011101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 r, and 1 s when three letters picked without replacement from {r: 3, a: 2, s: 1, x: 1, o: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -2*v**5\/105 + v**4\/84 - 7*v**2. Let y(x) = 0. Calculate x.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260.7508481 - -6\nAnswer: -254.7508481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 0. Solve -2*y - 2 + 0 = -3*z, 3*y = -x*z - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10534 - 368. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 4 + (-3)\/(-1 - 2). Suppose -b*w - 12 = -27. Which is greater: 4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (20 - (22 + -19))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1093\/1943 or -1?\nAnswer: -1093\/1943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223.2 - 224.741. Let k = -0.011 - t. Round k to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -411 + 1231\/3. Let i = -2\/3 + 5\/12. Which is the fourth smallest value? (a) n (b) i (c) -5 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 11787.\nAnswer: 11787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 24 - 266 = -2*v, -2*v + 5*m = -296. Suppose 28*s = 39*s - v. What is the remainder when 127 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + -9 + (-1 - -1). Suppose p + 0*p + 3 = m. Does 10 divide (-408)\/16*2\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -31*h**2 + 5*h - 5. Let s(i) = -216*i**2 + 36*i - 36. Determine -5*s(t) + 36*v(t).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 5*k - 48. Let o be w(5). Factor 4\/9 - 14\/3*b**o + 2\/9*b.\nAnswer: -2*(3*b - 1)*(7*b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1332650?\nAnswer: 2, 5, 11, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1206659 and -3.11.\nAnswer: -3752709.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000606701208 rounded to seven dps?\nAnswer: 0.0006067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 4. Suppose 0 = 5*i - 3 + 23. Let y be a(i). Solve v + y = -4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20.99, 0.1198, -1\/45?\nAnswer: 20.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 797*v - 3182. Let a be m(4). Sort -16, -1, -4, a in increasing order.\nAnswer: -16, -4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(54\/12) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 604*m**2 + 117*m**3 + 21*m**3 + 2*m - 2*m - 602*m**2 in the form r*m**2 + i*m**3 + b + n*m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h - 24. Let b be w(12). Suppose b = -2*j - 0*j. Let k(c) = -c + 2. What is k(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001508039 to 7 decimal places.\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6093328414?\nAnswer: 2, 3046664207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -310 + 4?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -895.07 - -901. Let k = -6 + a. Let b = -4.35 - -3.35. Put b, k, -2\/7 in descending order.\nAnswer: k, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341530 (base 6) in base 13?\nAnswer: 28530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -8, 2*g - 2*r + 2 - 14 = 0. Suppose 5*w = 4*w - 2, g*w - 9846 = -2*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 261*i - 285*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1508332385 is divided by 5034.\nAnswer: 5033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 15 - 35. Does 11 divide (-1090)\/(-25) + 2\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.5 - 15. Which is the closest to 0? (a) -5 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(320) + 0 + sqrt(320) + 5))**2.\nAnswer: 2400*sqrt(5) + 32225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35088 by 4.\nAnswer: 8772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 945 divided by -27\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**5 - 2735*g**4 - 489590*g**3 - 28219970*g**2 + 57919675*g - 29207375 = 0.\nAnswer: -205, -139, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2445498 and -31\/1074?\nAnswer: 2445498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 3*u - 27 = -13*l, l + 4*u + 23 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-91 - -122) + (-10 - 1) - 31\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p*t**3*w + 2*p*t**2*w - 13*p*t**2 - p + 305057*t**3*w - 240*t**2 - 3*t - 14*w wrt t?\nAnswer: -24*p*w + 1830342*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -3 + 2)*1. Does 11 divide 20\/(q + -1) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.08985t in milligrams?\nAnswer: 72089850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - -0.2. Which is greater: o or 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44115 + 116318 - 36214 = 17*o. Which is smaller: o or 7308?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/7 + 12086*o\/7 - 76904651\/7 = 0. What is o?\nAnswer: -16693, 4607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51748592 and 840?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 9:47 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 39*v - 56. Let h be x(4). Is (-1 - 12)\/(h\/15 - 7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = n - 4, -w + n + 4*n - 12 = 0. Let t = 17 + -12. Which is the nearest to 2\/5? (a) w (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -410 + 405. Suppose 0 = -5*y + 33 - 8. Which is the third biggest value? (a) y (b) p (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772 is divided by 138.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 96, -75, -250, -429, -612, -799?\n\"Answer: -2*h**2 - 165*h + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 173 - 559 = 0. Let g = -52 - s. Suppose 0 = -b + 12 + 2. Calculate the highest common factor of b and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1186 + (-3)\/(13\/((-637)\/(-21))) is divided by 392.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/8073 and -83\/189.\nAnswer: 56511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 3*g**2 - 44*g - 27. Calculate o(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u - 13641 = -54279. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 22736.\nAnswer: -22736.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2 - 153*x + 1 - x**2 + 77*x + 69*x + 9. Calculate the remainder when 477 is divided by l(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 - -158. Calculate the highest common factor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -587 - -856. Suppose -3*j = 2*u - 175, -5*u - n + 749 = -j. Suppose -3*q = -196 - u. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s + 4*r + 11, -2*s = r - 5. Let k be 24\/(-32) - (-30)\/8. Solve -s*t + k*t = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 153, 284, 405, 510, 593, 648, 669?\n\"Answer: -c**3 + c**2 + 135*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 16*z**2 + 3*z + 1. List the prime factors of a(2).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 22. What is the units digit of (2\/2)\/(z\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219977 - 0.1?\nAnswer: -219977.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137.1 + -147. Let p = -11.9 - y. What is the nearest to p in 2\/15, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.61642 - -0.11642. What is the closest to -1 in m, -1, 1.1, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -3987455 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1.5. Which is the closest to -5? (a) -3\/2 (b) g (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 10. Let j be x(7). Let q(o) = o. Let b(t) = t**3 + 3*t**2 - 2*t - 3. Let u(v) = b(v) + q(v). Determine u(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39198.22 * 0.3\nAnswer: 11759.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22091\/4 - 5531. Let t = -1\/11955 - -75752\/442335. What is the common denominator of p and t?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4848 is divided by 151.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 3:33 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13*m**3 - 13*m**2 + 6903*m. Let p(o) = -6*o**3 + 6*o**2 - 3452*o. Determine 9*p(c) + 4*z(c).\nAnswer: -2*c**3 + 2*c**2 - 3456*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (285\/(-342))\/(2\/(-12)). Let b be 2*-1*93\/(-62). Put -9, b, -2, w in decreasing order.\nAnswer: w, b, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from {s: 12, t: 2, j: 1, f: 2, c: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37\/2 + -559\/30. Let i = 7 + -6.9. Let g = 0.5 - i. Which is the biggest value? (a) g (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 7*k + 81. Let v(d) = 2*d - 20. Give 2*c(s) + 9*v(s).\nAnswer: -2*s**2 + 4*s - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -44. Suppose l*z = s + 360, -5*z - 4*s + 543 = 72. List the prime factors of z.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -120, 1 in descending order.\nAnswer: 5, 1, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*k**3*m + 267*k**3 - 30*k**2*m - 9*k**2 + k*m + 33*k - 19412*m - 3 wrt k.\nAnswer: 138*k*m + 1602*k - 60*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948568273?\nAnswer: 948568273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 77148 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1193420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 11 + 6 + b)*(-5*b - b + 4*b) + b**2 + 3*b**2 - 2*b**2.\nAnswer: 6*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - r + 6. Suppose 5*l + 16 = l. Let d = 4 + l. Let q be j(d). Is q > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/5, -0.2, -1, 2\/3, -2 in decreasing order.\nAnswer: 9\/5, 2\/3, -0.2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -17542, -0.04, 5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1 + 67*m - 5 + 5 to w*m + s and give w.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6933, -7014, -7105, -7206?\nAnswer: -7317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506051 is divided by 2249.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/11)\/((-62)\/341).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v + 4 - 15*v**2 + 17*v**2 - 2*v + v**3. Let m be n(-2). Factor -7 - t**m + 4 + 2*t + 3.\nAnswer: -t*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27303 is divided by 222.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**5\/30 + 7*d**4\/24 - d**3\/3 - 177*d**2. Let w(c) = -22*c + 126. Let p be w(6). Give r(p).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-54 + 103 - 17)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x + 7. Suppose -41 = 4*m + 3*k - 4*k, -2*m = -5*k + 43. Let q be (-56)\/m - 6\/27. Is 17 a factor of w(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-11))\/j*j**(-6)*(j*j\/((j**(-2\/37)\/j*j)\/j))\/j**(2\/7) assuming j is positive.\nAnswer: j**(2012\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66000 by -100.\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**8\/c**(-1\/6)*(c\/c**0)**(-3\/17) assuming c is positive.\nAnswer: c**(815\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*a - 34 - 554 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 = 4*x + 2, 2*j - 5*x = 8. Let k(u) = -5*u**3 - 1. Let g be k(j). Solve -g*v - 18 = -f, f + 0*f = v + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 11) in base 13?\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -91545662 divided by -2?\nAnswer: 45772831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/7 and -109\/1734.\nAnswer: 12138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (10 - -15) - 38\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 40362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 0*v**4 + 0*v**2 + 0*v + 7\/2*v**6 + 0*v**5 + 17\/3*v**3 - 21. What is the third derivative of n(u) wrt u?\nAnswer: 1260*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a + 2\/3*a**3 + 0*a**2 + 0 - 2\/3*a**5 + 0*a**4.\nAnswer: -2*a**3*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d10d - -8?\nAnswer: -d105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 5, y: 1, d: 5}. What is prob of sequence dc?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvvvj. Give prob of picking 3 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 1 - 1)*(7*f - 5*f + 0*f) - 2*f - 2 + 2)*(3 - 4 + 2) in the form b*f + q and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 36 = 16. Suppose -z + 4*m + 8 = 3*z, -3*z - 4 = -r*m. Let v(i) = -i**2 + 7*i + 17. Give v(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15752 + -3115?\nAnswer: -21067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 75 = -5*v, -19522*v + 19524*v + 36 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*p + 35. Suppose -p*z + 11*z + 64 = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 647 - 642. Solve -21*y = -k*y - 32 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - 29\/14)\/(100\/2075) and 53\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -964, -3857, -8682, -15439, -24128, -34749?\n\"Answer: -966*x**2 + 5*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.4, -2, -4\/15, -60?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**2. Let j(z) = 5*z. Let r(p) = 6*p. Let k(d) = -3*j(d) + 4*r(d). What is a(k(x))?\nAnswer: -405*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374?\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2700, -6087, -9520, -13023, -16620, -20335, -24192?\nAnswer: -28215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1662367102?\nAnswer: 2, 11, 75562141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 25. Suppose 520 + 680 = 19*y + 29*y. Calculate the greatest common divisor of x and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/37717428 and 85\/69148618?\nAnswer: 414891708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 1:11 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 36 + 3*s**2 + 2*s**2 + 23*s + 2 - 9*s**2. List the prime factors of r(-6).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*u - 11*u**2 - 135*u + 133 + 28*u**3 - 136.\nAnswer: 28*u**3 - 11*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a factor of 4527156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*m + 10. Suppose d = -3*o + 2*o + m, -5*o + 4*d - 5 = 0. Suppose 2*l + 1 + 4 = -3*h, o*l + 12 = 0. Sort h, 3, 0 in descending order.\nAnswer: 3, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 529*g + 413*g + 23550 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1437486 and 305184.\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 - 1.94. Let p = 0.012 - -23.988. Let w = -25 + p. Which is the nearest to w? (a) -0.2 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19089 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -356*v - 247*v - 1596*v - 299 + 4697. What is t in 12\/17*t + 2\/17*t**v - 14\/17 = 0?\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -13. Factor -4*j**4 + 26*j**l + 6*j**2 + 9*j**4 - 9*j**3.\nAnswer: j**2*(j + 3)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-34)\/(-102))\/(1\/(-6) - 1). Which is the second biggest value? (a) d (b) -1 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/5895 and -169\/360.\nAnswer: 47160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -278. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1233320 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z + 32. Determine j(-14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.526 + -508.\nAnswer: -508.526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbxbbb.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/756576 and 79\/12.\nAnswer: 756576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 427, 462, 497, 532?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1399032, 2798076, 4197116, 5596152, 6995184, 8394212?\nAnswer: 9793236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -17121251545.\nAnswer: 17121251550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3720 and 1395?\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1059, -0.05383, -2\/5, 0.9 in ascending order.\nAnswer: -1059, -2\/5, -0.05383, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2828 - 2218. What is the remainder when p is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*d + 85*d + 81*d**2 - 121*d**3 - 168*d wrt d?\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11552\/(-57))\/(-19) - 14\/21\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*sqrt(19))**2 + (-4*sqrt(171))**2 + (6*(sqrt(133) + sqrt(133)*1))\/(-4*(sqrt(112) - sqrt(7))).\nAnswer: -7*sqrt(19) + 2764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 13593.186 to the nearest 10.\nAnswer: 13590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 821.1 - 820.9. Which is the closest to m? (a) 2 (b) -0.3 (c) -2 (d) 4\/145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**2 - z**2 + 4*z**2)*(8*z + 73*z - 8*z) to the form c + b*z**2 + k*z**3 + t*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (87\/12 - -1)*-76. Let k be 2\/(-6) - ((-25231)\/x - 3). Let b = -422\/11 - k. What is the common denominator of b and -38\/11?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.42 - 133.42. Let p = -130.8622 - g. What is p rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4 = -3*f - 23, -5*f = 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 - 128190 + 128190.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18512326949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/484 and -129\/2545840.\nAnswer: 2545840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.8 + -23. Let l = -33 - n. Which is the second smallest value? (a) l (b) 4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5*-457892.\nAnswer: -1602622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675 and 40050?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15495\/28 - 3872\/7. What is the nearest to 2\/5 in 87, 1\/12, y, 8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, -2\/7, -270, 6, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 6608532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 32*c**3 - 17*c**2 + 9*c - 9. Let a(f) = -8*f**3 + 4*f**2 - 2*f + 2. Let u(n) = 9*a(n) + 2*b(n). Factor u(p).\nAnswer: -2*p**2*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 3, -1, -117, -5 in descending order.\nAnswer: 3, 2, -1, -3, -5, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmww when four letters picked without replacement from wmpafffwwmfwnnw?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*u - 2. Suppose 4*l - w - 8 = 3*l, 13 = 5*l + 4*w. Calculate the smallest common multiple of u and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r**2 + 4*r + 7. Let b(p) = -25*p**2 + 11*p + 20. What is -6*b(u) + 17*o(u)?\nAnswer: 14*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - w - 1844 = 0, 7*l - 2*l + 2*w - 2292 = 0. Suppose -3*t - 6842 = l. Let j = 4194 + t. Round j to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from aggaaapapaaggagaaga.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*r**3 + 154*r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + sqrt(13)*-1)**2 + -3.\nAnswer: 26 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3 + 4 - 7 + 6*a**2. Let r(t) be the first derivative of 0*t + 2\/3*t**3 + 8 + 0*t**2. Give y(r(z)).\nAnswer: 24*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 4*f**2 + 3*f + 2. Determine g(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guf when three letters picked without replacement from {u: 1, r: 9, y: 4, g: 1, f: 2}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**(1\/10)\/(p*p*p*p**(2\/13)*p\/(p**(-4)\/p)*p)*(p\/((p\/p**(-1\/7)*p)\/p)*p**(-7))**(-10) assuming p is positive.\nAnswer: p**(167189\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8408 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -27*j + 20. Let y be a(8). Let l = 201 + y. Solve -4*x + 3*n + 13 = 0, l = -0*x - 4*x - 3*n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (6 - 10 - -2) + (0 - -4 - 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 5. Suppose 2 + z = 3*k. Suppose 5*v = v. Are k and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 z, and 1 p when three letters picked without replacement from {s: 1, p: 1, d: 1, u: 11, z: 2}?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5525 - 10513?\nAnswer: -20442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -622 + 621.99999721. Round r to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49040 to the nearest one hundred.\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3211490\/413 + 7776. Let r = -417\/826 - t. Which is the smallest value? (a) 2\/23 (b) 4 (c) r (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29050 - 1366.\nAnswer: -30416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 12. Suppose -2*b - 4 + z = 0. Suppose -3*k = -4*k - 4*w + 41, 106 = 3*k - b*w. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxxxdxzdxztcktdcx. Give prob of picking 1 t and 2 x.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from xexxejxejjbeeeexx?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 10 = 27. Which is greater: -36 or p?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 12:23 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 623505937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 2\/15, 29 in increasing order.\nAnswer: 2\/15, 2\/9, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 88244035 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2)\/((-32)\/(-16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 4, s: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35405177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.43, -4, -3, -129.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1744 - -1584. Which is smaller: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*o + 17, 4*t - o - 2*o + 25 = 0. What is the remainder when t\/21 + (-85)\/(-3) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olnnnxx. Give prob of picking 1 x and 1 n.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*c + 5*c - 99240612 = -249527014. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-139584)\/(-21) + 12\/28*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 + 248*n**2 - 175*n**2. Let w(d) = 308*d**2. Calculate -9*c(t) + 2*w(t).\nAnswer: -77*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + 0*q - 61 + 61 + 18*q + (0 - 1 + 3)*(0*q - 2*q + 3*q))*(-3 + 6 + 0)*(-q - 5 + 5)*(-2 + 4*q**3 + 2).\nAnswer: -252*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 1 - (0 + 45 - -1 - (27 + -25))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -821.545 - -812. What is r rounded to 1 dp?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 7*c = -118. What are the prime factors of (-6 + 5)*-1*c?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/821 - -9019\/9852. Calculate the common denominator of -65\/3 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-2) - 2) + -2. Let n = p + -4. Solve 1 + n = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(3 - 3 - c**3) - 4*c**3 + 3*c**3 - 4*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20, 32, 30, 8, -40, -120, -238?\n\"Answer: -u**3 - u**2 + 22*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 19.9. Let g = 17918.8 + -17919. What is the nearest to g in u, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 43.\nAnswer: -4, 11, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66708*z**2 - 1509*z + 12?\nAnswer: 133416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**5*n)\/n**11 assuming n is positive.\nAnswer: n**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353752 to the power of 1\/2, to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**3 + u**2 + u. Suppose -s = 4*p - 3*p - 9, 5*p = -s + 29. Let j(d) = 6*d - 28. Let i be j(p). Determine f(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20 + -1 + (5 - 4). Let f(z) = 3*z - 40. Let n be f(l). What is the highest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, 4, 45, 108, 199?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1 + 2)\/6)\/(60\/504*-7). What is the third biggest value in 0.3, 1, i, 19, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*k**2*v**4*z**2 - 995*k**2*v - k**2*z**2 - k**2*z - 1756*k*z**2 - z**2 + z wrt v.\nAnswer: -80*k**2*v**3*z**2 - 995*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 3*t**2 - 2*t**2)*(32*t - 32*t - 11*t**3).\nAnswer: 33*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61412, -122483, -183552, -244619?\nAnswer: -305684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 6*a - 89. Give g(-16).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -106.\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*f + 3*f = -9, -5*f = 2*p - 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(4\/(-6) + 0). Let w(r) = 3*r + 6*r + 3*r**2 - 4 - 9*r**2 + 7*r**2 - 7*r. Calculate w(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 p, and 1 y when three letters picked without replacement from ppqppppjxpqxqyjcx.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1043, -931, -1159, -1721, -2611, -3823?\n\"Answer: f**3 - 176*f**2 + 633*f - 1501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 14014?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - 100 - 2*p - 100 - 95 - 88*p**2 + 4*p**3 + 294 as c*p**2 + n + w*p**4 + y*p + z*p**3 and give c.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = 3*s, -12 = -4*s - 0*g - g. List the prime factors of s\/(-5)*90\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273397558*c**3 + 703705*c**2 - 4.\nAnswer: 1640385348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 88263758.4?\nAnswer: -88263758.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-12)*(-2)\/6. Let n = -0.2 - -3.2. What is the biggest value in f, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) -0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = 0, 2*n - 3*n - 19 = a. Let f(w) = -w**2 + w + 6. Let g be f(5). Let t = g - n. Solve 0 = t*m - 3*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (216\/(-30))\/6*475\/10. Put 2, m, -1 in ascending order.\nAnswer: m, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 2991\/30578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 1. Let a be g(-1). Suppose -71 = -a*p - u, -2*p + 77 = 3*u + 12. Calculate the remainder when 106 is divided by p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -11*b**9\/1512 - b**5\/60 - 22*b**3\/3 + 8. Let i(d) be the third derivative of n(d). Find the second derivative of i(s) wrt s.\nAnswer: -440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - -6*sqrt(36)\/sqrt(2))\/(-4*sqrt(36)) - ((-2*sqrt(72))**2 - (3*sqrt(10)\/sqrt(5))**2)) + 2.\nAnswer: -268 - 7*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (17\/2 - 7)\/(3\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5)**(-46) assuming p is positive.\nAnswer: p**(-230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 0.143.\nAnswer: 0.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*z + 14*z + 27*z - 143*z + 17*z + 17*z.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 239 + 251 = 0, 4*g - 4*a = 24. Solve g = 17*h + 212 - 161 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 258, 640, 1022, 1404, 1786?\n\"Answer: 382*h - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3*q**2 + 13\/3*q + 1\/3*q**3 + 2.\nAnswer: (q + 1)**2*(q + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 1. Suppose 0 + 55 = 5*c. Let p = -13 + c. What is w(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -606*d - 371 - d**2 + 606*d to g + m*d**2 + t*d and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 720 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxayhxhxaawnxaxa. Give prob of picking 1 n and 1 x.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52*(-1)\/(-18)*-1 and (11 - (-72)\/(-6))\/((-45)\/(-273)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.093, 4\/13, -2\/9, 3?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2389 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - y + 51. Let x be v(0). Suppose -4*w + 95 = -3*a + 2*a, 2*w + 3*a - x = 0. Suppose 3*j = 5*s - 32 - 0, 3*s = -3*j + w. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-130))\/(((-14)\/70)\/((-4)\/10))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.5 + 2.87. Let z = -0.37 + r. Put -0.3, -2\/9, z in increasing order.\nAnswer: z, -0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 80762048 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 + -64. Suppose 3*v - k = -0*v - 2*p, 0 = -v - 2*p + 14. Suppose 3*j - 1 + 0 = r, -v = -3*j - 2*r. Calculate the highest common divisor of j and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3 + 4\/24. Let l = -27.866 - 0.334. Let o = l - -28. Which is the smallest value? (a) o (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114383398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c9c8b (base 13) to base 8.\nAnswer: 2635305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = -19*s + 840. Solve 5*m - 21 = m + k, -s = -4*m + 4*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 1875.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.800222 + 0.8. Round u to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.07211606 rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (-18 - -5) - (0 - 1). What are the prime factors of -4*(-265)\/i - -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)\/t*t)\/(t\/t**(-24)))\/(t**(-18))**(3\/23) assuming t is positive.\nAnswer: t**(-613\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*h = -37*h - 4026. Calculate the greatest common divisor of 143 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*a + 46, -b + 4*a + 7 = 2. Is 654\/37 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275781.\nAnswer: 3, 11, 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 47*z - 38*z - 2*z**3 + 1 - 1 - 2. Let r(j) = -5*j**3 + j**2 + j. Let q be r(-1). Let o(f) = f**3 - 5*f + 1. Determine q*o(u) + 3*h(u).\nAnswer: -u**3 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 219844\/25, -0.1, 5, -2 in decreasing order.\nAnswer: 219844\/25, 5, 2, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (46 - 30) - (2 + 0 - 10).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 5*i - 5. Let g(a) = a**2 - a - 1. Let h(b) = g(b) + x(b). Give h(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**(2\/19)*(r\/r**(-4\/3)*r)\/((r**(14\/3)*r*r*r)\/r) assuming r is positive.\nAnswer: r**(-178\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:45 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 945 and 504?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 1 + 27. Let u = -8 + j. Suppose -4*x = -u*y - 103, 4*x + 4*y = x + 85. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 15*t**2 - 18. Let s be w(-15). Let i be ((-10)\/30)\/(-2 - 34\/s). Suppose 5*h + 2*r = 347, 0*r + 221 = i*h - 2*r. List the prime factors of h.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**4\/12 + 2*o. Let j(g) be the first derivative of -3*g**3 - 188. What is f(j(q))?\nAnswer: 81*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d - 5. Suppose 6*r = 4*r + 66. Let z(j) = -48*j + 81. Let i(c) = r*k(c) + 2*z(c). Let b = 582 - 580. Calculate i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1950 and 4536870?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - b**2. Let s(u) = -5*u**3 + 2*u**2. Determine -5*r(a) - s(a).\nAnswer: 10*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12631 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 + 3*h**2 - 4*h - 153. Let g(i) = 4*i**3 - 7*i**2 + 8*i + 308. Calculate 2*g(t) + 5*x(t).\nAnswer: -2*t**3 + t**2 - 4*t - 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -34, 0, -0.09?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (259\/(-14))\/((-1)\/2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-95)\/60*-15 - 1\/(-4). Calculate the highest common factor of 18 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpqpivqqiesiiqs. Give prob of sequence epq.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8543558 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 10:36 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i\/(i*i*i**(-2\/3)))\/i*i)**(-6\/7)\/(i\/(i*i\/(i**(-11)\/i)*i)*i**(6\/5)*i) assuming i is positive.\nAnswer: i**(363\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - a**2 - 4*a - 1. Let k = -5 + 8. Let z be o(k). Suppose -4*g + y - 11 = 0, -3*g + y = 2 + z. Put g, 1, 3 in increasing order.\nAnswer: g, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - 8*a**3 + 2*a**3 + (-2*a + 2*a + 2*a**2)*(4 - 4*a - 4) as k + q*a**2 + t*a**3 + z*a and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -2\/333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837793?\nAnswer: 11, 76163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p**4\/p*p)*p*(p**(-3\/8)*p)\/p*p*p*p**(5\/2)*p*p*(p\/(p*p**(-1)))\/p assuming p is positive.\nAnswer: p**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.508 in 0.1, 4, -0.12, -0.3, 0.06?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v - 11*v = -4*c - 6, 3*c - 9 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hoiooiii. What is prob of picking 3 i and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1392790 and -12595034.3?\nAnswer: 13987824.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = -2*g, -4*g - p + 17 = -0*p. Solve j + 20 = -g*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 80c0c?\nAnswer: -80c15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24803333 + -1?\nAnswer: 24803332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*v - v = 22, 4 = -4*v. Let c = 11 + k. Solve 2\/5*x**2 - 2\/5*x**5 - 6\/5*x**c + 6\/5*x**4 + 0*x + 0 = 0 for x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 2.95?\nAnswer: 2.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11197 - -23720. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1186)\/3)\/(14\/(-21)). Suppose 0 = 10*h - o + 103. What is the remainder when 538 is divided by h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 2*i + 2*i)*(3*i**2 - 3*i**2 + 2*i**2) - 2*i**3 + 7*i**3 + i**3 - i**2 + i**3 + i**2 + 2*i**3 + i**3 - 4*i**3 + 4*i**3 - 3*i**3 - 8*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m. Let t(c) = -2*c - 674 - 1075 + 2112. Calculate t(o(p)).\nAnswer: -16*p + 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -362 + 88. Let t = a + 402. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 0 - p**3 - 2*p**3 - p + 0 + 1 to the form u*p + t + b*p**2 + r*p**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-25)\/((-483)\/56*-4) and -107\/6.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a + 4. Let q(d) = 3*d - 4. What is 3*q(w) + 2*r(w)?\nAnswer: 3*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**3 - 3*h**2 - h**3 - 2*h**3 + 3*h - h**3. Let c be r(-4). Let w be c\/(-14) - 90\/(-21). Solve -w*d - 1 - 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -365 + 512. Let n(y) = -y + 13. Let v be n(6). Let r = s - v. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.321 + 298102358.\nAnswer: 298102360.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37464 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 19 = -53 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 9*h**2 - 28*h + 110. What is the remainder when x(12) is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11622 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 17 = 5*p. Let a = 93 - p. List the prime factors of a.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -2\/7, 0.3, -2013?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775167336.\nAnswer: 2, 3, 10766213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:43 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.990564ml?\nAnswer: 0.003990564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13186 and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - 3 - (-59)\/(-6) and (-145308)\/5040 - -27 - ((-32)\/(-15) + -2).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8039527 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: How many minutes are there between 7:20 AM and 1:58 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 24. Let z = g + -17. Let o = z - 6.6. What is the closest to 2\/3 in o, 4, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z + 1. Calculate w(-9).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673015.\nAnswer: 5, 7, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 11*c**2 - 3*c - 13. Is 18 a factor of r(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbtjbbbbjbbbbbttb. Give prob of picking 2 t, 1 j, and 1 b.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14548010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 4*v**2 - v - 4. Let i = 100 + -96. Suppose -i*x + 300 = 4*q, 2*q + 0*q - 145 = -x. Let y = 66 - q. Give c(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473868191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2009, -5\/4, 1\/6 in increasing order.\nAnswer: -5\/4, 1\/6, 2009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11111011000110111 (base 2) to base 10\nAnswer: -128567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40\/32 - 0) + (-313)\/252. Let s(a) be the third derivative of -28*a**2 - n*a**7 + 0*a + 1\/36*a**5 + 1\/72*a**6 + 0*a**3 - 5\/72*a**4 + 0. Factor s(i).\nAnswer: -5*i*(i - 1)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.9 and 1601.\nAnswer: 1602.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 33 + 7. Let k(w) = w + 8. Let s be k(v). Solve -y - 3 + 6 = s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/46957 - -188442\/14415799. Let x = i + 6367\/6140. Let p = 18249 - 401387\/22. Calculate the common denominator of p and x.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 64*w - 444. Let u(f) = 21*f - 157. Calculate 7*k(g) - 20*u(g).\nAnswer: 28*g + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8*q = 9. Suppose -v = 5*o - 11, -3*v - q*o = o - 66. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uttutqutccqcqcu. What is prob of sequence ttu?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -240.7+-0.35\nAnswer: -241.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -9, -109, -49.\nAnswer: -109, -49, -9, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**6\/15 - r**5 - 163*r**2 - 4*r + 6. Differentiate g(c) with respect to c.\nAnswer: 8*c**3 - 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (4 + (-4 - 19)). Let r = z - 25. Let n(a) = 2*a - 2. Let g(s) = 5*s - 5. Let o(j) = -3*g(j) + 8*n(j). What is o(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-172)\/1806*14\/(-8).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41.1 - 34. Let d = 7.1154 - b. Round d to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 78. Put w, 5, -22, 2 in descending order.\nAnswer: 5, 2, w, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**2\/6 - 1265*l\/3 + 26620\/3 = 0. What is l?\nAnswer: 22, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2132 (c) 6126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -181, -142, -79, 8?\n\"Answer: 12*x**2 + 3*x - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 319, 643, 965, 1285, 1603, 1919, 2233?\n\"Answer: -s**2 + 327*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}