diff --git "a/data/dm_maths/full_data/10993_11255.jsonl" "b/data/dm_maths/full_data/10993_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10993_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 6264485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.0000004 - 3. Round o to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, p: 4}. Give prob of picking 1 r and 1 p.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 377*s**5 - s**3 - 7*s**2 + 1696*s - 1 wrt s?\nAnswer: 7540*s**3 - 6*s - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(300)*-1 + (sqrt(300)*-2 + -5 - sqrt(300)).\nAnswer: -5 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -43267*s - 1860489. Determine k(-43).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, s: 3}. Give prob of sequence ssjs.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 891 divided by -99?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -e96 (base 16) to base 3\nAnswer: -12010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 189, 377, 565?\n\"Answer: 188*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 152.562 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9451727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.58 and -732280.579.\nAnswer: -732279.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -326*t**2 + 85*t + 2. Let k be b(9). Let y = k + 36326. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 = 5*v, 2*v - 41 = n - 42. Solve -m + 7 = -l, n = 2*l + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-4*(-581)\/(-210) - -9) + 10?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997607 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1197005 + -5?\nAnswer: 1197000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 4*l - 14. Let t be d(6). Let x(c) = c - 1. Let s be x(t). Find the common denominator of 37\/(-16) + s\/6 and 143\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817683 is divided by 15142?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22286, 45238, 68860, 93152, 118114, 143746?\nAnswer: 170048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((-32)\/(-11) + -3)*1.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1781 + 1173. Let o = 607 + b. Is o at most as big as 4.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f - 22 = 5*k, 3*f = 5*k + 1. List the prime factors of -1*111*(-3 - k).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -851 divided by -28644\nAnswer: 851\/28644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14804711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-44)\/7)\/((3798\/22155)\/(6\/(-10)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 3, 5, -932 in decreasing order.\nAnswer: 5, 4, 3, -7, -932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - y**4 - 2*y - 3*y**2 + 2*y**4 - 5 + 5 to the form w*y**2 + q*y + u*y**3 + l*y**4 + g and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a + 13. Let i(o) = -15*o - 25. Let q(m) = -11*g(m) - 6*i(m). Calculate q(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**5 - t**4 - t**2 - 1. Let y(h) = -84*h**6 - 4*h**5 + 5*h**4 + 5*h**2 + 13. Let d(o) = -4*u(o) - y(o). Find the third derivative of d(f) wrt f.\nAnswer: 10080*f**3 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86\/89 + 3863\/1068. Let s = -1325 + 1940. Let c = -20321\/33 + s. What is the common denominator of c and u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + d)*(-4 + 2*d**2 + 4)*((1 - 1 + 1)*(6*d - d - 3*d) + 3*d + 0*d - d - 2*d + 2 - 2 + (3 - 3 + 6)*(2*d + d - d)).\nAnswer: 56*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 13730208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 29. Let z(c) = 23*c**2 - 22*c - 29. Is z(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4445, -4444, -4443, -4442, -4441, -4440?\n\"Answer: k - 4446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 17*q**2 + 41*q - 50. Calculate the least common multiple of k(19) and (10\/(-4))\/((-1)\/2).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27624319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.212968?\nAnswer: -0.851872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*u = 8, -4*u - 8 = l + 4*l. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsulosssgossglsl. What is prob of sequence ss?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, o: 2, m: 1}. Give prob of picking 2 o and 1 l.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25726, 28533, 31326, 34099, 36846, 39561?\nAnswer: 42238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10920 divided by -20\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 3*r**2\/2 - 3*r - 20. Let x(t) = -t**3 + 5*t - 5. Calculate -5*h(j) + 3*x(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93118039?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otot when four letters picked without replacement from ottoo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1158 + -1018. What is the smallest common multiple of 280 and s?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -3*g - 819433 + 40494, 2*q + 2*g = 194732. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/185 and -93\/148.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 2. Is o greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 30. Let b be (-4 - -7 - 1)\/k. Suppose 0 = b*z + 35 - 155. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2)*h**(-2\/13)\/h*h)\/(h\/(h**(2\/5)\/h)*h*h\/h**(2\/7)))**(-34) assuming h is positive.\nAnswer: h**(84592\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35154, 140734, 316702, 563058, 879802?\n\"Answer: 35194*c**2 - 2*c - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 726241476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -129*f + 131*f + 3*m + 36, 6 + 6 = 4*f - m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -61*i**2 - 12*i - 10. Give t(-1).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19598183?\nAnswer: 11, 1781653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 2. Let l(s) = 3*s + 10. Let x be l(-4). Determine i(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q + 3*a, 3*q - 6 = a. Suppose -3*p = -8*p + 65. Suppose 0 = q*j + p - 208. List the prime factors of j.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -24*z**2. Let j(y) = 94*y. What is l(j(i))?\nAnswer: -212064*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266 and 394877.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2243 - -42?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 129*l**2 + 14*l - 7. Let t(i) = 65*i**2 + 8*i - 4. Calculate 7*t(z) - 4*w(z).\nAnswer: -61*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 1. Let g be h(-5). Solve 2*c = 3*c + g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-58)\/(-7) - 2 - ((-1156)\/(-28) + -41). Solve 0 = i + h - t, -h - 2*h = -2*i - 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 8*r - 5*r. Let f = -21 - r. What is the common denominator of ((-58)\/f)\/((-4)\/((-4)\/(-1))) and -95\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 2*i - 13. Let g be t(0). Let s = g - -35. Calculate the greatest common divisor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 + 0.58. Let m be 30\/(-50) - (-33)\/105. Which is the nearest to m? (a) g (b) -0.5 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9590, 77082, 260576, 618170, 1207962, 2088050?\nAnswer: 3316532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:42 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -27*m**2. Let x(h) be the first derivative of 17*h**3\/3 + 760. Determine p(x(r)).\nAnswer: -7803*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 20372 = -2*y + 1636, 4*y - h - 44061 = 0. List the prime factors of y.\nAnswer: 2, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 4:42 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -99.8. Let y = x + -7.6. Let z = -9.4 - y. Which is the fourth biggest value? (a) z (b) -0.1 (c) -6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + 9. Let d(l) = -l**2 + 5165*l - 25798. Calculate the remainder when z is divided by d(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - k - 13 = 0, 0 = -2*v - 7543*k + 7545*k + 30 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 + 135. Put 3, -2\/13, i, -0.5 in ascending order.\nAnswer: -0.5, -2\/13, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40579 - -73806. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -102c4326 + 5?\nAnswer: -102c4321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -869\/6, 1, 0.017?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(12\/(-16)*6\/18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 12:57 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, 5, 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.6615628.\nAnswer: 0.13231256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 0*m + m)*(-53999 + 356*m + 53999) in the form b*m**2 + a*m + l and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 5882 = 468. Suppose -4*s + m = s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**3\/11 - 11344*o**2\/11 + 334286*o - 3552120 = 0.\nAnswer: -5980, 11, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -12 + 2\/3*y**3 - 4*y**2 + 0*y. Let g be c(7). What is the greatest common factor of 105 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 923 + -925 + -2 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -980972 by -53.\nAnswer: 980972\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*(-18 + 18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -1\/12*i**4 + 0 - 1\/60*i**5 + 0*i - 4*i**2 - 1\/3*i**3. What is b(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70036 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**4\/4 - 5*g**2\/2 + 3. What is the second derivative of u(z) wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 313, 634, 963, 1300?\n\"Answer: 4*t**2 + 309*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 9. Let t(o) = -101*o + 34. Determine -4*s(x) + t(x).\nAnswer: -97*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12592*o**3 + 5117*o**2 - 6*o wrt o.\nAnswer: 75552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 179 - 74. Let o(l) = -l**3 - 8*l**2 - 7*l + 15. Suppose -3*s = -6*s - 21. Let i be o(s). What is the greatest common divisor of i and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -0.2, 2, -0.06, -176.\nAnswer: -176, -1.1, -0.2, -0.06, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - d = 165. Calculate the remainder when d is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291029900 rounded to the nearest one hundred thousand?\nAnswer: -291000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-46)\/(-12) - (8 - (14\/(-42) - -8))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17396, -34798, -52210, -69632, -87064?\n\"Answer: -5*d**2 - 17387*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (20\/5 + -3))\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15984 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/20)\/(-3)*-20. Solve 0 = i*w - 20 + 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-822)\/(-440) - 2) + (-122)\/(-671)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 40686884.\nAnswer: 610303260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 4:24 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1702.\nAnswer: 3404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/3))\/z)\/z**0 assuming z is positive.\nAnswer: z**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 81. Which is the closest to 2? (a) -3\/5 (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -5065*y**2\/2 - 2737*y + 818. Find the first derivative of s(n) wrt n.\nAnswer: -5065","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y + 17. What is the units digit of m(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*l - 6. Suppose 2*y + 4 = -4*r + 26, 3 = 5*y - l*r. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(2145\/(-39)))\/((-1)\/(-5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1 - (-70)\/20) + -5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n - 8. Let l be u(5). Let b be -13*45\/(-975) - (-34)\/10. Solve -2*m - b = l*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5988.011 + -5984. Let a = -0.19 + 0.279. Let i = w + a. What is i rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 132 + 254*s**3 - s + 48 + 2*s**2 + 45 to x*s**3 + a*s**2 + u + g*s and give x.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1389\/20 + -10991\/180. Let t = -19895 - -775966\/39. What is the common denominator of t and o?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 14. Solve g*o = 5*o + 2*n + 12, -4*n = 5*o + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6293, 12614, 18933, 25250?\nAnswer: 31565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, a: 17}. Give prob of sequence aoa.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i**2 + 5*i - 9. What are the prime factors of b(5)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 2*h - 10, 0 = 3*i - h - 36 + 43 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 10. Let h(s) = -1 + 5 + 0*s - y*s**3 + 0*s. Let r(o) be the third derivative of -o**6\/60 + 5*o**3\/6 - o**2. Give 5*h(v) - 4*r(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17807.69979 rounded to the nearest one hundred?\nAnswer: -17800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25, -31, -39, -37, -13, 45, 149?\n\"Answer: 2*v**3 - 13*v**2 + 19*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/17276 and -73\/112.\nAnswer: 69104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**2 - 13*k**2 - 85230*k**3 - 5*k**2 + 85172*k**3.\nAnswer: -58*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 79 in -1\/3, 0.5, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19887422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 87454099562 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4416*t**5 + 9285*t**4 - 233136*t**3 + 373443*t**2 + 40452*t + 540 = 0.\nAnswer: -9, -2\/23, -1\/64, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from dppppdpjpppdpd?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-171)*12*(-12)\/(-16).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -20, -4 in decreasing order.\nAnswer: -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 3*n**2 + n + 1. Let v(g) = -2 + 29*g - 31*g + 4*g**2 - g**2 + g**3. Let o(f) = -3*h(f) - 2*v(f). Let p be o(-2). Solve -z = -p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9789 or 9324?\nAnswer: 9789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 147.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 147218199 to the power of 1\/3, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 12155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**4\/6 - 28*p - 71. Let b(f) = 10336*f**2 - 1. Give b(l(s)).\nAnswer: 41344*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/5 - 4624*u\/5 + 96222\/5 = 0. What is u?\nAnswer: 21, 2291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*s, -j + 11 = 2*s + 8. Which is the nearest to 13? (a) j (b) 4 (c) -3\/2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 45, -12, 3, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10342, 20619, 30898, 41179?\nAnswer: 51462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25537 = 15*j - 97928. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2617 divided by -1?\nAnswer: -2617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 31606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.078? (a) -1\/3 (b) -1 (c) 103 (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -80. Solve -j*u = -4*m + 2*m + 4, 4*m + 2*u = 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**1)\/x)**(12\/7)*x**5\/(x*x*x**(1\/9)) assuming x is positive.\nAnswer: x**(290\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) - 195970\/40. Let z = o - -4900. Find the common denominator of -61\/50 and z.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 6003214?\nAnswer: -6003214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*y - 0*c + 12, 5*y - 75 = -5*c. Let r(k) = k - 1. Let f be r(4). Let s be (-4 - (35\/(-5) + 1))*2. Solve -i = -3*i - s*h - y, i + f = h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82486 - 82494 - 82500 + 52*q**2 + 247480.\nAnswer: 52*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**5\/240 - 17*c**4\/48 - 91*c**3\/8 + 4*c**2 + 64*c - 2. Factor j(t).\nAnswer: -(t + 13)*(t + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-140)\/5*8\/(-28). Suppose 1706 - 1666 = z*f. Solve -3*y - 2*v = 19, -2*y - 4*v - f = 21 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87822 and 21035460.\nAnswer: 4182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6334796159?\nAnswer: 37, 47, 113, 32237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2512 or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3*q - 5*m**3 - 16935118*m**2 - 5580*m*q**2 - 2622*q**2 wrt q.\nAnswer: m**3 - 11160*m*q - 5244*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*3*(-18)\/12*10\/(-60).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 6*s + 4*s - 25449998, -q + 5089995 = -5*s. Round q to the nearest 100000.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a millennium?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 14 + 62*m**2 - 33 - 1 + 0*m + m.\nAnswer: 62*m**2 + m - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (614\/2388460*389)\/(11\/(-1)*3\/5)?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67068 and 435942.\nAnswer: 871884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 117552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-96)\/(-10))\/(-3))\/(((-3168)\/180)\/44)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2039 + -2043. What is the nearest to -2 in -1\/7, -1\/11, f, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22111 (base 4) to base 8.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -21*m + 86. Suppose -m*q - 432 = -10*q. Calculate the highest common factor of q and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**4 + 605*l**2 - 17*l**4 - 461*l**2 + 106*l**4 wrt l?\nAnswer: 2160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from lblbbbblbbbbbjbbb?\nAnswer: 39\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - 16. Let a = j - -53.94. Is -2\/3 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 3, h: 4, f: 1, m: 1, y: 4}. Give prob of picking 1 j and 1 a.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 15*m - 10. Let c(a) = a - 1. Let l(i) = -30*c(i) + 3*f(i). Let o(z) = z. Give o(l(k)).\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3956630 to the nearest integer?\nAnswer: 1989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44.7 + 0.4.\nAnswer: 45.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -634.87 + 638. Let p = d - 3.348. What is p rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4452 = -0*u. Suppose -4*o - u = -o. Is ((-6)\/4)\/(21\/o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/2 - 3\/(-3). Suppose s = q*s + 12. Let p(i) = 18999*i - 4. Let w be p(s). Round w to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t + 5*t = 0. Let h(g) be the second derivative of -5\/12*g**4 + 4*g + t + 0*g**3 + 0*g**2 - 1\/20*g**5. Find the third derivative of h(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 0*z - 5 + 3*z + 2*z**2 + 2*z**2 - 4*z. Let d be j(6). Suppose -2*x = -d - 11. What is the greatest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a second in milliseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.071 - -89.071. Let x = -85 + r. Which is the closest to x? (a) -3 (b) -4\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5664272?\nAnswer: 2, 354017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*f + 27 = j, -j + 4*f = 18. Let g(z) = -5*z - 8. Is g(j) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1300 + 0.05.\nAnswer: -1299.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103.216 - -191.118. Let y = v - 88. Let f = 22.802 - y. What is f rounded to zero decimal places?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2002 = 36*a + 958 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m - 8. Let p(x) = x + 7. Let v(j) = j + 6. Let b(t) = -4*p(t) + 5*v(t). Let f be b(8). Solve 0*u = -m*u + f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 + -2. Let s = 1.2 + -7.2. Let n = s + 7. Is n greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 500439 + -268396. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**3 + 8*j**2 + 20*j + 6. Let k be f(3). What is y in 2*y - 8\/3*y**2 + 2\/3*y**k + 0 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -0.10439?\nAnswer: -4.10439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -32, 5, 157 in descending order.\nAnswer: 157, 5, 4, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {v: 1, q: 5, a: 9, l: 1}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -2. Let y = j + 6. Which is the third biggest value? (a) 3\/7 (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/25)\/((-5)\/(50\/(-8))). Which is the closest to 2? (a) -0.2 (b) l (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**2 + 4*w + 4. Let c(a) = 2*a**2 - 3*a - 3. Let z(j) = -4*c(j) - 3*r(j). Let s(k) be the third derivative of -k**5\/20 + k**2. What is s(z(d))?\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13*9\/(-63)*(-630)\/(-90)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-216)*6)\/((-2)\/(-18))*-16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {f: 2, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24556*q = -31486*q - 436590 for q.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50097 + 0.1653924001?\nAnswer: -50096.8346075999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a year in months?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/5 - 2\/(50\/(-3015)). Suppose -4*k - 356 = -2*l - 2*l, 0 = -4*l - k + 336. Let b = r - l. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*g**4*u - 2*g**3*u + 37820*g**3 - 3*g**2*u - 42*g**2 - 2383*g*u - 6 wrt g?\nAnswer: 1560*g*u - 12*u + 226920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 5*u = -405. What is the second derivative of -94*s**4 + 94*s**4 + 25 - u + 116*s**5 - 17*s wrt s?\nAnswer: 2320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*8\/84*1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2259382 is divided by 564?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38074 is divided by 2719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-1))\/(-1 - -2). Let m be p*((-9)\/(-15))\/1. Suppose m*a = 3*o + 27, 0 = -3*o + 6*o + 4*a - 8. What is the closest to 0 in o, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2*f + 6 = -8*c, -12 = 2*c + 4*f. Suppose c = -7*t - t. Put -2, t, 5, 4 in decreasing order.\nAnswer: 5, 4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.428745*0.5\nAnswer: -0.2143725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2 + (1 - -2)). Suppose 5*c - 4*m - f = -9, 8 = 2*c + 4*m. Suppose 34 = -c*a + 2*a. Solve -4*y = -3 - a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/4 + 87\/(-12) + 7\/28. Suppose 1 + 0 = u. Let x be 2 - ((-5)\/(-3) - u). What is the closest to 1\/3 in o, x, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 4*v + 2. Let k = 18 - 16. Let q be r(k). Solve c + 5*j = 9 + 1, 3*j = -q*c - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*z**2 + 62*z**2 - 38*z**2 - z**3 + 3 + 0*z**3 - 527*z - 43*z**2 as h*z**2 + l*z + b*z**3 + i and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f**2 - 30*f**2 + 7*f**2 + 13*f**2.\nAnswer: -41*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m - 48*m - 228 = 0. Let g = -27 - m. Which is greater: g or 48?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0.99. Let g = 536 + -536.01012. Let o = g + u. What is o rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -65672483.95 to the nearest 10000.\nAnswer: -65670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1626423752092 - 1626423752092 - 5*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 23 + 101*y - 55*y - 38 + 31. Let o(b) = 9*b + 3. What is -3*c(v) + 16*o(v)?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o. Suppose -4*f + 20 = o, 2*m = 3*m - 5*f + 25. Suppose -2*p - p + 45 = m. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t - 7. Let a(h) = 8*h - 8. Let f(q) = 6*a(q) - 7*x(q). Give f(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.39621kg to micrograms.\nAnswer: 16396210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5 + 2748*k - 17 - 2769*k + k**2 + k**3. Does 13 divide b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106544760 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 15*x**2 + 26*x - 429. Give l(0).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)\/sqrt(90)*6)**2*6 + -4 + ((sqrt(24)\/sqrt(18))\/sqrt(4) + -5)**2.\nAnswer: -10*sqrt(3)\/3 + 3520\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.06 (c) -2.1 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 75*m - 1283. What is a(-26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1262 + 1214 = 6*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -5 - ((-195)\/9)\/(-5)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01518 to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*r = 49*r - 5510 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:06 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 863 and 25?\nAnswer: 21575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1741040 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2 + (4 - 1 + 4)*(11 - 1 - 2))*(-1 + 2 + 0)*(2 - 2 - 2*g).\nAnswer: -116*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5.3. Let x be -1*4 + (-21109)\/(-1419) + -11. Let i = 2\/215 - x. Which is the smallest value? (a) i (b) -3 (c) t (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15590.\nAnswer: 2, 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2980212634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1575.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i + 4*i)*(7 + 3 + 11)*(2*i - 2*i + 2*i**3).\nAnswer: 42*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/45)\/(c**(-13)\/c))**27 assuming c is positive.\nAnswer: c**(1887\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - m**2 - 2. Let j(a) = -5*a**3 + 6*a**2 + 11. Let x(q) = 2*j(q) + 11*o(q). Give x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 5040*b**2 + 1151275*b - 1156320.\nAnswer: 5*(b - 1)*(b + 352)*(b + 657)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from djpdhht.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 (base 10) in base 2?\nAnswer: 111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40559.\nAnswer: 40559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 114, 178, 154, 0, -326, -866, -1662?\n\"Answer: -7*c**3 - 2*c**2 + 119*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 6*n**2 - 20368*n**3 - 5*n**2 + 20369*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -838527 rounded to the nearest one hundred?\nAnswer: -838500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -99?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 2:00 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -24. Suppose -3*h = -1 - 2, 3*h - 23 = -5*u. Solve 0 = u*y - 8 - m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11110313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12501 + 12?\nAnswer: 12513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 + 11 = 3*o, 0 = o - 3*v + 4. Let j = o + 5. Calculate the remainder when 82 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**4*q**3 - 3*d**3*q**3 + d**2*q**2 - 38*q**3 wrt d.\nAnswer: 24*d*q**3 - 18*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -45*h - 48. What are the prime factors of x(-8)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**4\/7 + 104*j**3\/7 + 6*j**2\/7 - 44*j - 208\/7 = 0?\nAnswer: -1, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2438 times -0.5?\nAnswer: 0.1219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 904 = -2*a. Is a a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 14*y + 8. What is i(12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -804 - 725?\nAnswer: -f29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 1. Let n be x(4). Suppose -24 = -n*b + 75. What is the greatest common factor of b and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1005 and 1809.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -48274 and -62.\nAnswer: -48336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 11:43 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2807, 5617, 8429, 11243, 14059, 16877, 19697?\nAnswer: 22519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -10df3cd?\nAnswer: 10df3c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-9) + (3 - 1). Let y(n) be the first derivative of -4*n - 49\/4*n**4 - 7*n**3 - 2 + 12*n**i. Factor y(u).\nAnswer: -(u + 1)*(7*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/9*t + 0 + 2\/9*t**5 + 8\/9*t**2 + 4\/3*t**3 + 8\/9*t**4 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-1)\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 20 = 0, -3*u + 5*f - 924475 = 2*u. What is u rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 83, 261, 613, 1199, 2079?\n\"Answer: 10*f**3 - 3*f**2 + 3*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzzlzzzl. Give prob of picking 2 z.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - z + 4, -821*t + 825*t + 4*z = 16. Sort -3, -0.176, t in descending order.\nAnswer: t, -0.176, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -5*l**4\/24 - 35*l**3\/12 - 15*l**2\/2 + 21*l. Let z(t) = 0. Calculate t.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((165\/(-6))\/(-11))\/(25\/40)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02803 (b) 1\/6 (c) 0.04 (d) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/4 - -4)*-8. Suppose 232 = -n + 3*n + 4*u, 0 = -s*n - 4*u + 472. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -11.07. Let g = 0.57 - r. Put g, 2\/9, 0 in decreasing order.\nAnswer: g, 2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from {x: 6, u: 13}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 51*q - 356. Let i be n(7). Which is the second smallest value? (a) -4\/7 (b) -3\/8 (c) 1\/43 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9970*u**2 + 63*u - 607.\nAnswer: -19940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1183, 2367, 3551, 4735, 5919, 7103?\n\"Answer: 1184*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 70, 109, 160, 229, 322, 445, 604?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 16*k**3 + k**2 + 2*k + 2. Suppose 0 = -u + 3*s - 0*s - 3, -3*u - 5*s + 19 = 0. Is c(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*v**3 + 448*v**3 - 135*v**3)*(v + 0 - 2*v + 2).\nAnswer: -401*v**4 + 802*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 3*v**2 + 6*v**2)*(v**2 - 2*v**2 + 9*v**2) + (2*v**2 + v**2 - 5*v**2)*(v**2 - v**2 + 2*v**2).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 379123, 758248, 1137373, 1516498, 1895623?\n\"Answer: 379125*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2bd9d + -62?\nAnswer: -2c021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-49)*-1 - 2\/(-7). Suppose 2*n + 5*y = 7*y + 946, o = -n - y + 481. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 3 + 1)*(37855 - 37855 - 1162*h**3 - 2*h**2) to x + u*h**2 + w*h**3 + i*h and give w.\nAnswer: -5810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fki when three letters picked without replacement from kkfkyfykkkffqffkiqf.\nAnswer: 49\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 64. Let p = -14 - d. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22135037 is divided by 320?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, -5, 1, -1, -3\/7.\nAnswer: -5, -1, -3\/7, 0.15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3428 in 2.6, 2\/5, -4\/3, 1\/2?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/69838 and 23\/204?\nAnswer: 7123476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - -1) + (-3)\/(-1). Let b be (w\/6)\/((-1)\/9). Let d(z) = 3*z**3 - z**2 + z - 1. Let j be d(1). Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 0.73392156?\nAnswer: 0.0293568624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11714507, -11714509, -11714511, -11714513?\nAnswer: -11714515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-33)\/(-6) + 4)*2 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -198, -296, -576, -1128, -2042, -3408, -5316?\n\"Answer: -15*w**3 - w**2 + 10*w - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*v - 6*v. Let y(q) = q**2 - 11*q + 21. Let b be y(v). Suppose 4*a + 0*j - 9 = 3*j, -3*j + 12 = b*a. Solve -a*p = -14 + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0223671 + -0.02293. What is z rounded to five decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1873667?\nAnswer: -2\/1873667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*d. Suppose 4*x - 3*m = -3 - 7, -x - 2*m - 8 = d. Calculate the remainder when 24 is divided by (x + 3)*(0 - 13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from vtvrdiv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120236\/15 - 8011. Let z = -22\/5 + y. Which is the third biggest value? (a) 3 (b) z (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22\/35, -7, -0.5 in decreasing order.\nAnswer: -0.5, -22\/35, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341, -1347, -3015, -5345, -8337?\nAnswer: -11991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5241780.\nAnswer: 2, 3, 5, 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298947 is divided by 136?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 606*l**2 - 3*l**3 + 614*l**2 - 1213*l**2 + 13*l**3. Let t(k) = -3*k**3 - 2*k**2. What is 2*m(s) + 7*t(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -12, -7?\n\"Answer: 5*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -599582 (b) -0.1 (c) 2\/3 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6434 - 3053. Calculate the greatest common factor of z and 441.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09862 times 0.2\nAnswer: -0.019724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2047?\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*i + 4*f + 25, 2 = 2*i - 5*f + 18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h. Let w(c) = 420*c**3 - 7*c**2 - 6*c. What is 3*d(b) - w(b)?\nAnswer: -420*b**3 + 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12968*d**6 - 1871*d**2 - 2 wrt d?\nAnswer: -1556160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5402 + 5412. Suppose 5*g - 45 = -2*a - 3*a, -2*a = -4*g + 6. What is the highest common factor of a and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1 - 12) + 3 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(112)\/sqrt(2)*1)\/(sqrt(32)\/(sqrt(4) + sqrt(16)\/sqrt(4)) - 1*sqrt(512)).\nAnswer: -2*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d*d*((d\/(d\/(d\/((d\/d**(-29))\/d))))\/d)\/d)\/(d*d**(-1)*d))**(-9\/11))**(-20) assuming d is positive.\nAnswer: d**(-4860\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01232 rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11289, -22558, -33817, -45066, -56305, -67534?\n\"Answer: 5*n**2 - 11284*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0*j + 68. Suppose -4*h - 12 = 0, -7*u = -2*u - 5*h + 140. Let s = u - j. List the prime factors of s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123476869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.14 - -13. Let h = q + -1.06. Let w = h + 1.19986. What is w rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 - 0.09. Let m = s + -0.02. Let q = -4.6 - -5. Which is the biggest value? (a) m (b) -1\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 64dc1ca?\nAnswer: 64dc1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3533 (base 6) to base 14.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/20 - (-2)\/(-20). Let t = -14 + 7. What is the third smallest value in f, 1, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2345 (base 6) to base 4.\nAnswer: -20321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2754858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2919)\/18070)\/(2\/(64\/(-56))).\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3 - 749*g**2 + 122134*g - 241264 = 0.\nAnswer: -887, 2, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2)\/(42\/(-42))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 1:04 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a74e1 - -a4?\nAnswer: 4a7585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39979 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -9. Let p = a - 15. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 >= -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42884 - -42889. Solve 0 = -5*h + 5*p + t, 269*h - 14 = 264*h + 2*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90 + 17 - -36 - -34) + (-2 - (-9 - 2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/59, -7\/10, 1.\nAnswer: -7\/10, 10\/59, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 2*a**2 + a + 1. Let u(m) = 8*m**2 - m - 4. Let v(s) = -2*c(s) - u(s). Determine v(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 - 2 + 2 + 2 + (-i**2 - 3*i**2 + 2*i**2)*(-5*i - 5*i + 0*i) to the form a*i + m*i**2 + s + j*i**3 and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -22*((-20)\/(-8) + -1). Let n be ((-14)\/77)\/(3\/g). Let j(h) = h + 1 + 3*h - 2*h - 3*h. Give j(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 0*j - 2*j)*(3*j + 0*j - j) + (-6 + 5 + 2)*(0*j**2 + 3*j**2 - 2*j**2) + (-j - 2*j + 0*j)*(2*j - 3*j - j) to the form r*j**2 + v*j + z and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3837.\nAnswer: 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29190 + -2306016\/79. Which is smaller: v or 2\/165?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -35. Let g = -9 + q. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/11 (b) 387 (c) -3\/33137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176 + 177. Let a(c) = -c**3 + 2*c**2 + 2*c + 5. Let n(r) = r**3 - r**2 - r. What is u*a(f) + 2*n(f)?\nAnswer: f**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s + 11311 - 11311.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 + (10 - 3) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2485*w - 2562*w - 847 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 0*r**2 - 9613*r + 11378*r - 1765*r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + -4. Let s(u) = -4*u + 2. Let a(p) = -1 + 2 + 23*p - 7 - 4. Let o(z) = -6*a(z) - 34*s(z). Determine o(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z**2 - 5*z. Let q(f) = 3*f**2 + 2*f. Let b(i) = 4*a(i) + 10*q(i). Let p(v) = 2*v. Calculate p(b(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 1. Let x be u(8). Let y = 13 - x. Calculate the remainder when y is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from goffsgffffwswfmogw. What is prob of sequence osg?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*3\/(3\/(-1)). Let b be (-4)\/(-2) + (w - -2). Differentiate 3 + 3*h**b - 7*h**3 + 8*h**3 wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*s + 139844 - 745092 = 0. What is the greatest common divisor of 56 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 2*d**3 + 4*d + 8*d**2 - 4 + d - 3*d**2 + 3*d**2 as s + z*d**3 + y*d + o*d**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/10*20\/(-8). Let r be (2 - -1)\/(l\/4 + 0). Suppose -r*p + 2312000 = -2*p. Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (-1*sqrt(190) - sqrt(190))*-2)\/(sqrt(10) - (3*sqrt(80) - sqrt(80))\/sqrt(8)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -456*h**2. Let o(v) = 2*v + 30533 - 30533. Calculate a(o(w)).\nAnswer: -1824*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 11*s**2 + s - 11. Let m = -1099 - -1088. Give k(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96880 and 20.\nAnswer: 96880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -39.28.\nAnswer: -41.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011825 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*m = q - 57, -5*m - 25 = 0. Calculate the highest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/((s*s**(9\/2))\/s))\/s*s**(4\/5)*(s*(s\/((s\/s**(-21))\/s))\/s)\/(s\/((s*s\/s**(-13\/4))\/s)) assuming s is positive.\nAnswer: s**(-369\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y**2 + 3*y**3 + 275*y**4 - 266*y**4 - 2 - 2*y + 3*y to the form o*y**4 + x*y**2 + k*y + l*y**3 + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 957543 + -4.\nAnswer: 957539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 25, 52, 89?\n\"Answer: 5*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48\/17 + 401\/425. Calculate the common denominator of s and -27\/11.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1970 and -33\/1576.\nAnswer: 7880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1530\/299 - -15\/23. Which is greater: 1\/4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 - 4. Let y(l) = -l**2 - l - 1. Let q(n) = -d(n) + 2*y(n). Let j be q(0). Solve -j*b = -7*b + 4*u - 20, -u + 5 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44231 + 1104?\nAnswer: 100340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006432098241 rounded to 7 decimal places?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3.58*-2\nAnswer: -7.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i + 8*i - 190. Suppose -14*v - i = -16*v. Let z(u) = -4 + 3 - 2 + 1 + u. Calculate z(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89666?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - -2 - (0 + 70381\/665). Let b = a + 741\/7. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**2 - 7167*v - 562020 = 0?\nAnswer: -76, 2465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 785\/314 - 1\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + j + 2. Let d be x(0). Let t(u) = -3*u**2 + 2*u**d - u**2. Let i(m) = -3*m**2. Give i(t(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*v - 413*f**3*x**4 + 2*f**2*v*x**3 + 10*f*v*x + 2*v*x - 7*x wrt x?\nAnswer: -4956*f**3*x**2 + 12*f**2*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = 75 - 108 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-42) + (-36)\/(-21)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 14) to base 15\nAnswer: 1c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103334401 (base 5) to base 11.\nAnswer: 287671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45, -59, -75, -93, -113, -135, -159?\n\"Answer: -m**2 - 11*m - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 10*u + 20. Let a be (-2)\/(-2)*(1 - -2 - -5). What is the remainder when (-2)\/(-4) + (-81)\/(-6) is divided by n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002229485 to 7 decimal places.\nAnswer: -0.0000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 2 + 7 + -1 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7291897 litres in millilitres?\nAnswer: 729.1897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 427414?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -463 + 15168*s + 8578*s - 5444*s + 463 to f + c*s and give c.\nAnswer: 18302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -558\/5 + 112. Let f = -188.799 - -188.699. Which is the fourth smallest value? (a) f (b) -5 (c) -1\/3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*g**2 - 17675*g - 104141 wrt g.\nAnswer: 14*g - 17675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -2, 3\/4, 2\/5, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(3888))*-2 - (sqrt(3888)*2 + sqrt(3888))*-2) + 3 + ((sqrt(3888) - sqrt(3888)*-2) + sqrt(3888) - sqrt(3888)) + 0 + sqrt(3888) + 3)**2.\nAnswer: 4608*sqrt(3) + 248896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2408, 2420, 2434, 2450, 2468, 2488, 2510?\nAnswer: 2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.801157 hours in seconds?\nAnswer: 13684.1652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6072 and 4439.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*a - 75*a = -636. Let u(y) = -a*y - 155*y + 313*y. Let n(b) = -b**2 + 26*b. Give u(n(t)).\nAnswer: t**2 - 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 3:21 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -16, -2*z + 5*r + 31414 + 7048 = 0. What are the prime factors of z?\nAnswer: 71, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 29780*d**2 - 712560*d + 4271040.\nAnswer: -5*(d - 5932)*(d - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - m - 3. Let p be v(5). Let n = p - 11. What is the units digit of (3 + n)\/(6\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 351696977 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3150*m**5 - 13*m**4 + 13*m**4 + 4758*m**5 + 2*m**4 - 2*m**5 - 2*m**4 + (m**5 + 0*m**4 + 0*m**4)*(20 - 6 + 7).\nAnswer: 1627*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 87a8a1?\nAnswer: -87a897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -3*b - 191 + 172, 0 = -b - 5*m + 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 11892194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 - 3*m - 6*m**3 + 0*m + 8*m**3.\nAnswer: 11*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1, 11, 27, 49, 77?\n\"Answer: 3*g**2 + g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 - 2522*u + 8186465\/4.\nAnswer: -(u - 755)*(u + 10843)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 517, 4296, 14555, 34534, 67473, 116612?\n\"Answer: 540*d**3 - d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1971 divide 14490792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7905 divided by 25?\nAnswer: -1581\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 1 + 16*s - 36*s + 2 wrt s?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 1. Let s(n) = n**3 - 12*n**2 - n + 6. Let o(v) = -3*l(v) - s(v). Is o(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 4*h - 506. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -14156177?\nAnswer: 1\/14156177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4411*a**2 + 9467*a**2 - 4702*a**2.\nAnswer: 354*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1168 >= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 60*p**2 + 39085*p + 2576. What is n(170)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, v: 5}. Give prob of picking 2 v.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 588755 (base 11) to base 7\nAnswer: 10636565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 1129*b**9\/504 + 1013*b**5\/60 - b**4\/12 + 563*b**2 - 1. Find the third derivative of w(f) wrt f.\nAnswer: 135480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 + 0*d**2 - d**2. Let q(r) be the third derivative of -2*r**2 + 0*r + 0*r**4 + 152 - 3\/10*r**5 + 0*r**3. What is k(q(u))?\nAnswer: 324*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -210*x + 1 - 8*x**3 + 80*x + 19 + 132*x as f + c*x**3 + l*x**2 + u*x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*v = 9, 0 = -5*v + 2*v. Suppose 0 = b*f - 0*f - 6. Suppose -2*a + 18 = f*x, -4*a - 5*x = -2*x - 31. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106\/(-3021))\/(((-32)\/(-8))\/(-48)).\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1013, 995, 961, 905, 821, 703?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177599*d*n**3*u - 44*d*n*u - 5*d*n + 124*d - 12*n**3 + 91*n**2 - 2*n with respect to u.\nAnswer: -177599*d*n**3 - 44*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 222 - 217. Suppose t*q - 5527 = q - r, -r = 1. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*z**2 + 7*z**2 - 14*z**2 + 12*z**2 as u + t*z**2 + f*z and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10*z = -9*z - 31923, -6 = -2*z. Round b to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718481613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -19\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*f - 6*f + 2553 = 793. What is the nearest to f in -2, -4\/7, 3, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*x = 0, 2*l + 3*x = -0*l + 4. Let a be (-4)\/(2\/l*-1). Are a and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 40 = -4*c + 3, c = -i + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.952787228 to 1 decimal place.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.6, 0.5, 0.48, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k = 26*k + 60. Let l be -5 - (-2)\/(-12)*k*-2. Solve l = 4*f, -2*t + 3*t = 2*f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -17. Let l be (-2*1)\/((-4)\/a). List the prime factors of 2\/l - 188\/(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1142 + 55?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.28 - -0.08. What is w rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5\/7 + 37125*q**4\/7 + 16442358*q**3 + 213040506*q**2 + 572811813*q - 802299981 = 0. Calculate q.\nAnswer: -6181, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 136, 137, 138?\n\"Answer: w + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78288127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 19389*q + 58167. Calculate y(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tggt. What is prob of sequence gt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41006*x**6 + x**4 + 67*x**2 - 550*x - 1 wrt x.\nAnswer: -4920720*x**3 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3 - 21*m**2 + 21*m + 45 = 0 for m.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 + 9 = 0. Suppose 8*w - 12 = x*w - 2*q, -5*w - 5*q = -20. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/3125338 and -97\/1428196?\nAnswer: 481302052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/4 + -2 - 2) + -3. Let q = 2 - 0. What is the closest to q in l, 3\/5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2926747416 to the power of 1\/2, to the nearest integer?\nAnswer: 54099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/270907399 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -2\/77, -9, -3\/28, -3?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -65825840 - 19284.1?\nAnswer: -65845124.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**6\/160 + 9*j**5\/40 - 27*j**4\/8 + 27*j**3 + 8*j**2 - 29. Let x(y) be the second derivative of b(y). Solve x(l) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136 - 12?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11257, -88901, -298713, -706477, -1377977, -2378997?\nAnswer: -3775321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 87*a**2 + 258*a. Let c be u(-3). Solve 834 = c*j + 789 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1012, 8725, 29664, 70441, 137668, 237957, 377920?\n\"Answer: 1102*q**3 + q**2 - 4*q - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2446 divided by 2?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -33.5. Sort g, 0.1, -13.\nAnswer: -13, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -79. Suppose 62*m - 61*m = j. What is the remainder when 66 is divided by m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*j + 2 = 0, 3*j = -5*l + 16 - 0. Suppose -l*y + 12 = -5*y. Let u be (-152)\/(-10) - y\/(-20). Solve 2*r - 2*m = -r + u, 2*m = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**3\/3 - 22*j**2 + 12*j + 34\/3 = 0.\nAnswer: -17, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540 and 324?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - ((-21442)\/7384 + 4\/26). Put 0, 3\/7, 4, f in descending order.\nAnswer: 4, 3\/7, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5010, -10028, -15040, -20046, -25046, -30040, -35028?\nAnswer: -40010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -10*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-6 - (0 - -3)). Suppose 5*s = 1 - z. Put -2, s, 2 in decreasing order.\nAnswer: 2, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31423 and -3.76.\nAnswer: 118150.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2\/4 + 3579813*t - 7159629 = 0.\nAnswer: -4773086, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 11:12 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.26693 rounded to two decimal places?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313028 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -521403 (base 7) in base 3?\nAnswer: -11112121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 6*n**3 - 5*n**3)*(0 + 0 - 2)*(1 - 1 - 2*n)*(-2*n - 3 + 3).\nAnswer: -16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 18, 7, 0.0035, -2\/7?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a. Let b(c) = 3*c + 26. Calculate b(r(f)).\nAnswer: -12*f + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 4 (b) -6\/29 (c) -0.2 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*m - 27*m, 3*o + 15 = 2*m - 5*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -191, -190, -189, -188, -187?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {m: 9, g: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*c + 4*s, -s - s = -5*c + 27. Find the first derivative of 10*d - 10*d**3 + 89 + 14*d + c*d - 32*d wrt d.\nAnswer: -30*d**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, j: 8}. Give prob of sequence ooj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 4)*(-4*p**5 + 2*p**5 + 0*p**5) + (0*p**2 + 2*p**2 + 0*p**2)*(-p**3 + 0 + 0) - 345*p**4 + 10*p**5 + 345*p**4.\nAnswer: 14*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -123194 and 18.0384?\nAnswer: 123212.0384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/5975?\nAnswer: -2\/5975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/((z**(-5)*z)\/z*z))**(-34)*z**(-8\/11)*z\/(z*z\/((z*z\/(z*z*(z\/z**(-18))\/z*z*z*z)*z)\/z)) assuming z is positive.\nAnswer: z**(-2868\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 6:03 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012101 + 20?\nAnswer: -2012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (44\/16)\/(-2*2\/(-48)). Let l be 6 - 8 - (0 - n). Suppose l*g + 1531 = 32*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0696 rounded to three dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 - 4*a + 2*a**3 + 36*a**4 - 11*a + 18*a to f + q*a**4 + j*a**3 + v*a + o*a**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959 less than or equal to 2983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304 and 110128?\nAnswer: 2092432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, j: 1, d: 1, p: 3, k: 5, y: 2}. Give prob of picking 1 p, 1 d, and 1 r.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*45*(((-24624)\/(-190))\/81)\/((-16)\/(-5))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1179 - 714. Let d be (1 + 68\/12)*c. Round d to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253 + 2*x**3 - 253 - 4*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 7*r. Let m be v(0). What is the third derivative of -99*l**6 + 34*l**3 + 132*l**2 + 119*l**6 + 1 - 33*l**3 + m wrt l?\nAnswer: 2400*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + 5*a + 2*a + 2 + 17*a + 2*a + (5 - 3 - 1)*(3*a - a + 0*a))*(-15*a**4 + 2*a**4 - 18*a**4).\nAnswer: -775*a**5 - 62*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 13 - (-191 - -185).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 + 61.5. Sort -3\/2, p, -0.03.\nAnswer: -3\/2, p, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.8 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*q - 5*l - 8, -5*q = 4*l + 6. Suppose 2*c - 29 = 5*z + 5*c, -11 = -z + 5*c. Let h be z\/(-6) - (-20)\/6. Solve h*b - q = -6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 60. Suppose -546 + 1797 = g*j. What are the prime factors of j?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 12 = 2*f, -21*f + 23*f - 3*z - 13 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15488954662857 + -11?\nAnswer: 15488954662846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15901260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 3 + 4*b - 5*b - 4*b. Let s(l) = -l**2 - 3*l + 4. Let u be s(-3). Suppose 6 = a - 2*y + 2, -39 = u*a + 3*y. Calculate o(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -297288*r**2 - 18 - 68 + 297290*r**2 + 3*r**3 to the form w*r**3 + s*r + x + t*r**2 and give x.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129.0616 - 129. Let y = 50.7384 + x. What is y rounded to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 553?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 3*i + 17. Let s be q(5). Let t(m) = -5*m + 14. Let w(h) = -3*h + 9. Let v(p) = 5*t(p) - 8*w(p). Calculate v(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 6:07 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*b + 1. Suppose 2*k + b*m = 2*m + 16, -6 = k - 3*m. Suppose k*y = 7*y - 75. What is the greatest common factor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence heeq when four letters picked without replacement from eeqeeehqeqeqee.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmq when three letters picked without replacement from {q: 2, z: 5, m: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*z + 4*i, -z - i - 3 = -2. Suppose 9*l - 3*x - 36 = 0, -631*l + 628*l = -4*x - 3. Sort l, 4, z, 2 in descending order.\nAnswer: l, 4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 3*b + 2*z + 19, -19 = -2*b + 3*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100121364 to the power of 1\/2, to the nearest integer?\nAnswer: 55679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 94861 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 24\/2 - 1. Is 16 a factor of (-294)\/(-9)*f - (6 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttveetbetttettet.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.99 - -4.99. Let z = -7\/10 - -1\/5. Which is the nearest to t? (a) -2 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a + 2*a - 2 + 0*a + 3*a. Let r(i) = 2*i + 4. Let g(b) = 6*r(b) + 13*s(b). Calculate g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4191 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -576 - -590. Suppose 33*x = -d*x + 6674. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 718 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 22. Let b = v + -11. What is the third biggest value in b, -1\/7, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 7*h**2 - 5*h - 5. Let t be r(6). What is the remainder when 56 is divided by t\/(4\/(-60))*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 7\/14 + (-2)\/(-4)*7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o + 2. Let c(p) = -7*p - 2. Let x(h) = -5*c(h) - 6*t(h). Suppose -3*v + 2*q = -0*q + 15, q = 3. Let d be (2\/4)\/(v\/18). Give x(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3682 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1635 - 1692. Which is smaller: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11675 is divided by 59.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122 + 3*i**4 - 10*i**2 + i + 108 + i - 232 + i**3 to m + a*i**4 + x*i**2 + v*i + r*i**3 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 28*c + 34. Give g(8).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -7*f**2 + 1052*f - 22125. Give j(125).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 708\/59 + ((-702)\/(-10))\/(-9)\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (1 - 4) + -9. Let w = 34 + -22. Calculate the remainder when 6 is divided by (l + w)\/((-6)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 25*l - 73 = 33*l, 3*s + l = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1588*t - 144. List the prime factors of u(-1).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 45263 + 2659. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*h = 181*h, -3*w + 2*h = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**5\/2 + o**4\/4 + 3*o**3\/2 + 7*o**2\/2 + o + 3. Is n(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*6\/(-72)*-4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-24) + 43875\/7800 - (0 + 34\/2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-46)\/6 - (-119 - -121) and 27\/212.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22, 289, 610, 941, 1282, 1633?\n\"Answer: 5*f**2 + 296*f - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)\/(r*r**(-4)))**(-38) assuming r is positive.\nAnswer: r**(-361\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b384 - -4?\nAnswer: -3b380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.89289 and -3.\nAnswer: 2.89289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 14*v - 5. Suppose 5*q - 25 = o, o = -2*q - o + 22. Let x be b(q). Suppose -3*k + 354 = -291. What is the greatest common divisor of k and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.1 (b) -4 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (319 + 585 - 307)*((1 - 4 + 4 - 18*i)*(-i + i + i) + 2*i**2 + 1 - 1) to the form w + p*i**2 + o*i and give p.\nAnswer: -9552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31243, -61080, -90917, -120754, -150591, -180428?\n\"Answer: -29837*k - 1406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z - 8*z - 18*z.\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4758 or 28543\/6?\nAnswer: 28543\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 59 - 44 = 0. Suppose 4*j - 356 = 2*w, -k*w - 468 = -4*j - 124. What are the prime factors of j?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)*x**2*x*(x*x**(-1))**(1\/16))\/((x\/(x*(x\/(x**(-2)*x*x)*x)\/x*x)*x*x)\/x*x**5\/x)**(-43) assuming x is positive.\nAnswer: x**(658\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*n + 60*n = 124*n - 26 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 27. Let g(p) = -p**3 + p**2 - 2. Let r be g(-2). Let t be (-2)\/3*(-2)\/r. Which is the nearest to 1? (a) s (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-6)\/27 + (-11224)\/(-612)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 5) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i + 5 + 2*i - 2. Suppose 0 = 5*m - 34 + 24. Determine x(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5084 and 39811.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58552 and 416.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 364410144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/106 and -77\/51039.\nAnswer: 102078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 266 - 266 + 3*i**3 - 10*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 370920\/21918 - (2 - 0 - -15)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 3*d - 50. Let q = -28 + 30. Let g(a) = -2*a**2 - 4*a + 51. Let h(c) = q*i(c) + 3*g(c). Differentiate h(u) wrt u.\nAnswer: -4*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732490531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 23 = 4*h, -4*l + 3*h = 35 - 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 - -87. Let f = 20 - l. Suppose p - 9 = -4*v + v, f = 2*v + 5*p. Solve 4*i - 10 = v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*d - 2. Let u = d - -10. What is the remainder when u is divided by (1 - -6) + (1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*y + 41*y**2 - 15*y**2 + 1 - 98*y + 200*y + 26*y**2 in the form f + h*y + k*y**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587*i + 607*i - 1781*i + 578*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3854a - -652?\nAnswer: 38b9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**2\/8 + 5357*u - 642615\/8 = 0.\nAnswer: 15, 42841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 30. Let j be h(15). Suppose -5*r + 2*n + 3*n + 98580 = j, 3*r + 2*n = 59153. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9534 and 3675714.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5201 - 7c3?\nAnswer: 4a3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -642 to the nearest 10.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/(-30) - (-1)\/(-5). What is the closest to 1\/3 in v, 3\/4, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.92 - 5. Let k = 10.92 - g. Let j = 11.1 - k. What is the nearest to j in 0.2, -3\/8, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5 - 2*v + 2*v**4 - 2*v**2 - 3*v**5 + 3*v = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 k when three letters picked without replacement from kkkkjebkkjkkk?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13490, -15942, -20030, -25754, -33114, -42110?\n\"Answer: -818*f**2 + 2*f - 12674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -3*o**2\/2 + 7*o + 1. Let k(x) = x**3 + 51 + 11*x + 50 - 7*x**2 - 100. Let z be k(5). Give t(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, 27, 32, 21, -12, -73, -168?\n\"Answer: -b**3 + b**2 + 19*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2*x)*(2*x + 0*x - x) + (2*x + 0*x - x)*(70*x - 888 + 888) in the form y*x + g + m*x**2 and give m.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, c: 3}. What is prob of picking 1 w and 1 c?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - 1 - (0 + -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 3:22 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-20)*1\/(-1). Let u = -91 + 90.9. Which is the second smallest value? (a) -15 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, h: 1, l: 2}. What is prob of sequence lx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10300, -20682, -31132, -41650?\n\"Answer: -34*g**2 - 10280*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208297*q**2 - 62923*q?\nAnswer: -416594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**3 + n**2 + n - 1. Let u be 4\/6 + 21\/9. Suppose -1 = -u*h + 2. What is the units digit of t(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, -0.3, 0.1, -142?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29108*h**2 + 29119*h**2 - 10 + 29113*h**2 - 87328*h**2.\nAnswer: 12*h**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*s = 71 + 367 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 15 = -5*b - 0, 5*b = 3*h - 31. What is the derivative of -134*z**h - 4 + 49*z**2 + 67*z**2 wrt z?\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {a: 4, d: 3, b: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 3*w**2 + 4*w - 3. Let y be f(3). Solve -2*s = s + y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 + 8 + 0*s**2 + 23*s**2 + 17*s**3 - 8*s**2 - 7*s**2 to the form l*s**3 + m*s + p + d*s**2 and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfpqflvqllplllvvv. Give prob of sequence ffsp.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-11))\/t**12)**(1\/13) assuming t is positive.\nAnswer: t**(-22\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 731, 1611, 2491, 3371, 4251?\n\"Answer: 880*c - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (3\/24*-2)\/((-1)\/164)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51984661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-7 + 16 + -13)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25861, 51749, 77627, 103489, 129329, 155141, 180919, 206657?\n\"Answer: -x**3 + x**2 + 25892*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - 106. Find the common denominator of (-41)\/(-36) + ((-70)\/b - 9) and -23\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -259 divided by 259\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m = 35*m. Suppose 24*k - 187 - 269 = m. What is the remainder when 29 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2759 - 8415 = -8*q. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11209*x - 89668. Calculate t(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, -9, -0.09, 940, -1, -5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -53. Let z be (-12)\/66 + ((-12)\/(-33))\/w. Let g be (-4 - 16)\/5 - z. Is g > 0.13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3205, 0.2, 3, 5.\nAnswer: 0.2, 3, 5, 3205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*u + 5*w + 784 + 230 = 330*u, 4*w - 6 = 2*u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48050?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5097, 1\/96, -3?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5003383363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.755 rounded to zero decimal places?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = t - 13016, -6906 = 3*m - 2*t + 2851. Let c be (2\/(-5))\/((-31)\/m). Is (-116235)\/c + (-1)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0)*-6 - 2. Suppose q + t*q = 30. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1572487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 13. Is w - (2 - (-4)\/(-2)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - x)*(-277 - 126 - 101 - 108).\nAnswer: 612*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, -3, -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -312069 (b) 0.5 (c) -1\/2 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*j - 1273 - 82 = 563 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 5*o = -5*f - 523, -f + 5 = 0. Let a be (-2084)\/(-12) + 4\/(-6). Let s = a + o. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 277, 2\/11, 2\/9.\nAnswer: -1\/2, 2\/11, 2\/9, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 5:05 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5 - 444*b**4 + 23156*b**3 - 38484*b**2 - 284080*b - 222000 = 0. What is b?\nAnswer: -150, -2, -1, 5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.1 - 29. Which is the third smallest value? (a) 0.3 (b) u (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -w + 3055, 45*w - 49*w = -a + 611. List the prime factors of a.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*k + 3*k - 3 = 0, 3*y = -4*k + 10. Suppose -3*r = -3*n - n + 25, -4*n + y*r + 22 = 0. Suppose x = n*x - 390. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -5) + 1 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*o + 525*o - 10122 = 28854 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/12734 and -58\/7.\nAnswer: 89138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 6:20 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1808*o**2. Let k(s) = 3199*s. Determine k(i(j)).\nAnswer: 5783792*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 390 by 1.\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:10 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 766 - 768. Let v be x\/12*0\/50. What is the third biggest value in 2\/17, 1\/3, v, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(((-15)\/(-675)*3)\/((-4)\/(-50)))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000172215 to 6 decimal places.\nAnswer: -0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2488 divided by 4.\nAnswer: -622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 243151810 by -466.\nAnswer: -521785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 + 149. Calculate the remainder when 62 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 2*sqrt(405))*2)**2.\nAnswer: 7220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzzxzqxxqzzz. What is prob of sequence zx?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45734 - 0.4056946294.\nAnswer: -45734.4056946294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10*v - 46. Let k be r(6). What is the highest common divisor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -173, -10, 0, -26 in descending order.\nAnswer: 0, -10, -26, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3832457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2132 (base 4) in base 5?\nAnswer: -1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 109921 times -76.8\nAnswer: -8441932.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*m**3 + 82368*m**2 - 605121*m + 1110054.\nAnswer: 3*(m + 3058)*(3*m - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 + -70. Suppose -8*a = m - 7*a - 8, 0 = -c*m + a + 36. What is the least common multiple of m and 61?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97 and 42183360?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.26 (c) 3 (d) 1068 (e) 0.1 (f) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 405644887?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 18*w + 24. Let l be u(-19). Suppose 0 = -l*b + 7*b + 8. Let m(g) = g**3 + 5*g**2 + 6*g + 4. Give m(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - -30. Let h be ((-4484)\/192)\/((-74)\/z - -1). Let b = 1640\/27 - h. Find the common denominator of b and -11\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-5 + 15 + 40*s - 37*s)*(4*s**2 + 0 + 0) + (3*s**2 - s**2 + 0*s**2)*(1 - 1 + s).\nAnswer: 26*s**3 + 80*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t - d = -32*t - 7, 2*t + 31 + 10 = -2*d + 11 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*o + 51, -80 = 6*b - b - 3*o. Let s(i) = -5*i - 3. Let z be s(-2). Let w = z - b. Calculate the lowest common multiple of w and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -2)*-2 + sqrt(3) + -1 + sqrt(15)\/sqrt(5))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*i - 1802 = 11*i. Suppose -2 = 105*g - i*g. Solve -z = -g*z - 8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -24*k - 107. Let c be g(21). Let j be -2 + (c\/(-24))\/13. Which is bigger: j or -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 21 = -5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -345*i + 11514. What is the thousands digit of a(-113)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 11 - 13 = 0. Solve -9 = -v*i + i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 464778 and 22194?\nAnswer: 63674586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558822?\nAnswer: 2, 3, 11, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 q when four letters picked without replacement from qrrqqfrrrrq?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5322 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(((-15)\/40)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 43 = -3*a, -193590*r + 193588*r - 142*a = -590 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = -12*z - 323. Let q = z + 94. Factor 0 + q*j - 51*j - 4*j**2 + 4.\nAnswer: -4*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-10)\/15*12\/(-73912)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(320))**2*-3.\nAnswer: -963 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2464995 is divided by 1866?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 13*h**2 + h + 14. Let z be g(-13). What is the second derivative of -m**5 + 1 + 3*m**5 - z - m wrt m?\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1278, -2538, -3780, -5010, -6234?\n\"Answer: -v**3 + 15*v**2 - 1298*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22b2 (base 14) to base 9\nAnswer: 8246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 4*n + n - 1, 0 = -3*n + 4*w + 37 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16\/123 + -155\/246. What is the fourth biggest value in 3\/7, 2, 2\/329, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (-1 + 21)) + 12 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*-7*(-7)\/245)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 1971?\nAnswer: -1971.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391149125.\nAnswer: 5, 3129193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2 - 263*w - 7 + 536*w - 236*w. Let m(r) = 5*r**2. Calculate m(j(k)).\nAnswer: 6845*k**2 - 1850*k + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22517408*m**5 - 11621538*m**2 + m - 2 wrt m.\nAnswer: 1351044480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1687*m. Let c(f) = 301*f. What is c(g(n))?\nAnswer: 507787*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83305.\nAnswer: 5, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 28 = 4*i + 7*q, 5*q + 32 = -4*i. Put 5, -2, -6, i in decreasing order.\nAnswer: 5, -2, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 0*i**5 - 1\/2*i**6 + 0*i**2 + 0*i + 0*i**4 + 3 - 2*i**3. What is the third derivative of z(t) wrt t?\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4663975 and 14205.\nAnswer: 13991925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -13 - 15*(-3)\/(-9). Let m be ((-9)\/v*-6)\/((-1)\/6). What is the highest common divisor of 12 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -327 - -334.85. Let c = -10 + b. Let k = c - -0.15. Put 3, -0.3, k in decreasing order.\nAnswer: 3, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -61a28 + -39?\nAnswer: -61a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, x: 4, y: 8}. Give prob of picking 2 d and 1 y.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -367505*i*w**2 - 3791*i*w + 5*i + 4*w + 2 wrt w.\nAnswer: -735010*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 28*x - 571. What is v(19)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 732*p**2 + 2850*p - 239. Calculate q(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1224869 - -9987508.\nAnswer: 11212377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73471440 and 33936.\nAnswer: 73471440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4230887919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -51950090 divided by -4610\nAnswer: 11269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -55310 (base 8) in base 5?\nAnswer: -1220430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 324 and 1095748.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 87, 49, 13, -21, -53, -83, -111?\n\"Answer: q**2 - 41*q + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -23*v**3 - 44*v**2 - 62*v - 20. Let i(t) = -8*t**3 - 15*t**2 - 22*t - 7. What is -17*i(b) + 6*k(b)?\nAnswer: -2*b**3 - 9*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/11, -12, -2, 0.016, -986 in increasing order.\nAnswer: -986, -12, -2, 0.016, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -bc4 (base 14) to base 11\nAnswer: -1827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -22, -4, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 40. Let w be o(20). Let f = -3 + -1. Is 6 a factor of 32 - (w + (-8 - f))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 423 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b = 2968*b - 56563 - 60437 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, b: 1, p: 3}. Give prob of sequence aa.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 g, and 1 h when four letters picked without replacement from gfwcxhghggcwfh?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u + 0 + 0 + (11*u - 2*u + 2 + 3*u)*(1 - 1 - 1))*(0*u**3 - 4*u**3 + 6*u**3) to the form j*u**4 + k*u**3 + c*u**2 + r*u + n and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 9*a**2 + 11*a - 22. Let j be z(8). What is the third derivative of -j*w**2 + 8*w**4 - 8*w**4 - 22*w**6 + 6 + 0*w**4 + 2*w**4 wrt w?\nAnswer: -2640*w**3 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6795640?\nAnswer: 2, 5, 169891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -7, -3 in decreasing order.\nAnswer: 4, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/50440 and 7\/1810.\nAnswer: 9129640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.92 - 14.48. Let v = q + 2.4. Let a = 8 + v. Put -2\/9, a, -0.5 in decreasing order.\nAnswer: -2\/9, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -611c?\nAnswer: -611a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(98)*-2)*1)**2 + 0 + (sqrt(98)*-1*3)**2 + 5 + -2.\nAnswer: -56*sqrt(2) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -2315273\/440 + 15843\/88. Let i = 5083 + q. Find the common denominator of -51\/10 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o + 4*x - 5, 4*x = -o - 1. Let y = o + 2. Suppose -119 = 21*r - 203. Put -12, y, r in ascending order.\nAnswer: -12, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (19\/(3 - 2))\/1. Suppose 4*q - 2*z - 3*z = i, 5*q - 60 = -z. Calculate the remainder when 31 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -275\/7 + 39. Which is the closest to 1? (a) 3\/2 (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**5\/60 - o**2. Let w(g) = -2*g**2. What is w(y(f))?\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 5*k**2 + 5*k + 1. Let c be -12*2*2\/8. Let w be h(c). Differentiate -20*z**3 + 4 + w*z**3 + 17*z**3 wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17144.\nAnswer: 2, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*q - 16 + 1 - 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 555390 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -79 (b) 2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7858945.3599395 + 7859109.36. Let g = h - 164. What is g rounded to six dps?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -8, -3*c = -4*c - 5*p + 48. Suppose 18 = 2*g - 18. Is 14\/(-63) + c\/g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 1.74.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 - 3 + 4)*(0 - h + 0)*(3 - 3 + h)*(-5*h + 3*h - 4*h) to the form b*h**3 + f*h**2 + a + k*h and give b.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 1, 2, -18 in ascending order.\nAnswer: -18, -3, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -58.\nAnswer: -5\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 634604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 0*z**2 - 2*z + 7 + 2*z**2 + 0*z. Let s = -43 + 49. Is n(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 9:14 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-2)*-2 - 2 - 3. Let d(q) = 0*q**2 + 5 + q**2 - 7*q + 4*q. What is d(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*q + 13 = 0, -4*h = 2*q + 3*q - 31. Suppose -b + 12 = -18. Solve 3*u = -h*w + 3*w - 20, 2*u = -4*w - b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1861951\/51 + -36510. Find the common denominator of i and -1\/5.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 8. Let b be j(-8). Let l = b + 4. Let m(g) = g**2 + 2*g - 5. Let w be m(l). Solve -k = -w*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y. Let r(g) = 368455*g - 2. Give r(a(m)).\nAnswer: -1473820*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-5) + (-2)\/(-10). Let p be 2*(0 - 7\/(-2)). Solve 1 = -j*z - p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2498 - 2138. Calculate the least common multiple of 20 and u.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-21) + 3808\/98. Suppose -12*x + l = x. Let t(o) = o**3 - o**2 + o. Give t(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6179 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(64))\/(sqrt(8) + sqrt(56)\/(sqrt(28)\/sqrt(4))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 6 = 3*x. Let a be (x + -1)\/((-9)\/6). Calculate the greatest common divisor of 4 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1.9967. Round c to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127 + 212. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w. Let h(s) = 133*s**2 - 64*s**2 - 93*s**2. Determine c(h(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + (-3)\/6 + (-385)\/(-50) and 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 4*p - 5 = 16, -p + 15 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3816 - -2283. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 (base 6) in base 15?\nAnswer: 9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/204 and -21\/29423668.\nAnswer: 88271004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-648)\/(-20)*2840\/(-2556).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(90)\/sqrt(5))\/sqrt(6) + 0.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-21)\/7)*3. Suppose 0 = z - n - 4, -5*n - 17 = t. Solve 2*s + 7*u - 5*u - 12 = z, 3*s - 3*u - 6 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**3 - 3*r**2 - 4*r + 4. Let c(o) = -2*o**3 - 4*o**2 - 5*o + 5. Let s(k) = k**3 + 8*k**2 + 5*k - 17. Let y be s(-7). Calculate y*c(t) + 4*j(t).\nAnswer: -2*t**3 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83 times 0.76?\nAnswer: 0.6308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*1 + (-735)\/(-28). Let x = n + -9. Find the common denominator of x and 55\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 31*k**2 + 266*k - 348. What is h(20)?\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tatttattttattttttt. Give prob of sequence ta.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85 (base 15) to base 5.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-6)*-6)\/(-1) - 87. Let r = 32 - k. Calculate the remainder when r is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1717423 to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -95, -181, -283, -425, -631, -925, -1331, -1873?\n\"Answer: -4*o**3 + 16*o**2 - 106*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 115108?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o*v**2*z**2 + 7222*o*v**2*z - 3*o*v*z**2 - 3*o*v*z + o + 3*v**2*z**3 + 53*v*z**3 - z**2 + 5*z wrt v?\nAnswer: -4*o*z**2 + 14444*o*z + 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -64420, -64422, -64420, -64414, -64404, -64390?\n\"Answer: 2*z**2 - 8*z - 64414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 12) to base 13\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 108, 273, 440, 609, 780, 953, 1128?\n\"Answer: q**2 + 162*q - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 749\/105 + 253\/165?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3251, 3246, 3243, 3242, 3243, 3246, 3251?\n\"Answer: t**2 - 8*t + 3258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -121?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/310 and 87\/40.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 8*d + 8. Suppose -11*v = -7*v + 40. Calculate the remainder when t(v) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 872 + -875.95. Let x = 4.95 + l. What is the nearest to x in 1\/6, -1\/4, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/25, -3, 2\/7, -7, -4, -3\/4, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007198 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 352*l - 1187. Is t(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6910.205 to the nearest one hundred.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 209127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 9:05 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 45 = -170. Let j be (54\/15)\/((-10)\/i). Put j, 2, 5, 1 in descending order.\nAnswer: j, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -77*d - 3. Let m(k) = -39*k - 2. What is -3*a(y) + 5*m(y)?\nAnswer: 36*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15662 plus 12767133.215?\nAnswer: 12782795.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 8*k**3 + k**2 + 3. Let c(i) = -33*i**3 - 5*i**2 + i - 11. Let f(x) = c(x) + 4*s(x). What is f(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Let s(l) = -4*l**2 + l + 6. Let c(z) = z**2 + z - 1. Let m(q) = 5*c(q) + s(q). Determine m(x) - 4*r(x).\nAnswer: x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -55.99997472. What is l rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 10:13 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by 2814?\nAnswer: -59\/2814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 917.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/23293 and 52\/7?\nAnswer: 163051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 72\/(-33) + (-7)\/(7\/(-2)). What is the third smallest value in u, -4, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*q - 0*q - 1, 4*q - 4 = -2*d. Suppose 4*j - 8 = -d*f, -5 + 3 = -3*f - j. Solve f*l + 4*l = -20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**5\/20 + 2*p**4\/3 - 7*p**3\/6 + 2*p**2 - p. Suppose -42 = -5*o - 7. Is x(o) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Suppose -n - 4 = -f. Solve 0*k + f = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0*m + 0*m**3 - 1\/15*m**6 + 0 + 0*m**4 + 1\/5*m**5 - 12*m**2. What is the third derivative of q(n) wrt n?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(2))\/sqrt(2) + (sqrt(7) - (sqrt(7) + (sqrt(70)\/(sqrt(30)\/sqrt(3)))**2)).\nAnswer: -7 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011248 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18003 - -27411. Is 90 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/483)\/((-8)\/((-3584)\/(-40)))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/20 and 3 + -1 + (-5694)\/(-744) + -10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwkrcwvkwnwk. Give prob of sequence kvk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2. Let v(m) = 60*m + 978. What is y(v(s))?\nAnswer: 3600*s**2 + 117360*s + 956484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 5*v + 1. Let b be k(6). Suppose -b*z = -3*z - 12. Suppose 11 = -2*j + 3*o, 3*j - z*o + 19 = 5*j. Solve j*q = q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234468220?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -552834 (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 - r - 13*r**3 + 13*r**3 - 10*r**2 - 3*r**4 to the form c*r**3 + u*r + p*r**2 + v*r**4 + t and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a - 106129*a**4 - 4*a**5 - 28*a**3 + a + 106097*a**4 = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1123 + -786. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5 = -p. Let w(j) = 10*j + 710. Let x be w(-59). Suppose -a + p*a - x = -5*n, 4*n - 2*a = 122. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - k + 23 = 0, -i - 5*k + 16 = -k. Solve -4 = -i*p + 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (38\/10 + (-1 - 2))\/(804 - 798). Let s = 1.1 + -1. Which is the closest to 0.1? (a) d (b) s (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*((d\/((d\/(d\/(d\/(d*d**(-1\/7))*d)*d))\/d*d*d))\/d)\/d*d*d\/d**(-10)*d\/(d\/(d*(d\/(((d**(-12)*d)\/d)\/d))\/d*d))*d**21 assuming d is positive.\nAnswer: d**(328\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 r when three letters picked without replacement from {r: 4, j: 3, w: 1, b: 4, n: 7}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 19749*b**2 - 6468024*b - 50478720.\nAnswer: 3*(b - 6896)*(b + 8)*(b + 305)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3 - 195654*q**2 + 4785745680*q - 33490633400 = 0.\nAnswer: 7, 48910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**3 - 9*v - 9. Suppose -13 = -6*g - 1. Suppose -g*j - 4 = -0. Let i(k) = -2*k**3 + 2*k + 2. Determine j*h(x) - 9*i(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1803 - -1803.03. Let x = -5.8 + 0.8. What is the fourth biggest value in z, x, -1\/2, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 26*j - 127. Give d(35).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 12, i: 6}. What is prob of picking 3 i?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 25840?\nAnswer: -25840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in six fifths of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782981 is divided by 363.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 12\/(((-6)\/85)\/3). Suppose -u = -5*z + 8. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162119*n - 2 - 162123*n - 162126*n - 36 + 486372*n.\nAnswer: 4*n - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5 = 3*r - 1, 0 = 4*r + 4*j - 8. Suppose 5*a + 257 = 4*k, -2*a = r*a + 20. Is k a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 49.3. Which is the nearest to -0.1? (a) t (b) 1 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 - -157. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*x + 17*x + 13*x - 3)*(0 - 3 + 1) - x + x - 6*x + (3*x + 0*x - x)*(-1 + 1 - 1).\nAnswer: -18*x + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76336, -76179, -76026, -75877, -75732, -75591, -75454?\nAnswer: -75321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -150*h + 167*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -686 + 685.7. Let s = -0.2 + 0.3. Let v = 48 - 51. Sort v, -0.03, j, s in descending order.\nAnswer: s, -0.03, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -2.9 (c) 1 (d) 141 (e) -0.101\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 210607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -97, -0.5, 2\/1330145?\nAnswer: 2\/1330145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 6*q**2 - 15*q - 6. Let b be s(8). Let z be -1*1*(-10 - -81) - b. Let p = 202 + z. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 502, 504, 506, 508?\n\"Answer: 2*p + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/87 (b) -6 (c) -74 (d) -4 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 455, 706, 957?\nAnswer: 1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 76699506*n - 230098527.\nAnswer: (n - 76699509)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -182.458 and 0.6?\nAnswer: -109.4748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = v - 0. Suppose 50 = v*k + 3*i, 5*k - 2*i - 70 = -i. Let u = 27 + k. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1627470.\nAnswer: 2, 3, 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(-2*sqrt(3)*-2 + sqrt(3)))**2.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2368\/11914 + (-2)\/(-23)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(1512\/488) + (-2 - (-48)\/27).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 + 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*c**5*i**2 - 13471*c**2*i**2 + 175*c*i**2 + 3*c*i + 2*c - 38*i**2 + 4*i wrt c.\nAnswer: -500*c**3*i**2 - 26942*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (3 + 220\/(-76)). Which is the second smallest value? (a) 0.1 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1553 + -35?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/(12\/192). Solve 0 = -d + 3*o - y*o - 15, 5*d = -o - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/301 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**3 + 2*n**2 + 35. Let l(d) = -d**2. Let u(a) = -b(a) - 4*l(a). Find the first derivative of u(m) wrt m.\nAnswer: 21*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 6. Let j be -2*4\/u*-3. Suppose 0 = -j*q + 6, -5*l - 4*q + 148 = -0*l. Calculate the highest common factor of l and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0 + 22 = 0. Let d = s + 16. Let t = 1 + d. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3\/4 - 1555*o**2\/2 - 19200*o - 116280.\nAnswer: 5*(o - 646)*(o + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2\/2 - 3207*f = 0.\nAnswer: -6414, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287452*-1.4.\nAnswer: -402432.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 1:52 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*l**2 + 5103 - 9591 - 379*l**2 - 8774 - 5*l with respect to l.\nAnswer: -558*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -22?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/124*-3*792\/594.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 4. Let l be z(6). Let y(d) = -d**3 + 4*d**2 - d - 1. Let m be y(3). Let i(c) = -c**l + 8*c + 5*c - 6 - m*c. Determine i(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + sqrt(931)) + sqrt(931) + (-5*-1*sqrt(931) - sqrt(931)))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 15 = 4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 equal to -10849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**3 + 68*q**2 + 30*q - 4. What is i(-11)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 10*l**2 + 9*l + 6. Let j be o(-9). Suppose 0 = j*g - 0*g - 156. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a**2\/2 + 29*a\/4 - 3\/4 = 0.\nAnswer: 3\/26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146400*c**2 + 0 + 0 - 146413*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -3, 9, -1\/143?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1337 + 1525. What are the prime factors of q?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 10 = 5*s - 3*n + 4, -4*s = -6*n - 12*n - 104 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.8849 + -1.6849. Let y be (-4 + 5)*2\/(-4). What is the third biggest value in o, y, -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzvoo. What is prob of sequence ko?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1424 + 32406?\nAnswer: 30982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14227876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -0.3. Let l = 15 - 16. Which is the second biggest value? (a) -0.1 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1885*g - 1144*g + 702*g to the form h*g + u and give h.\nAnswer: 1443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2214*l - 2217*l, 3*q = 3*l + 162237. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -302406.5809 to the nearest 100.\nAnswer: -302400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6\/5287 + -460065\/84592. Let r = 572983\/20 - 28643. Find the common denominator of r and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*r**3 + 218*k**2*r + 67*k**2 + 69*k*r**3 + 4*k*r**2 + 5*r**2 wrt k?\nAnswer: -4*r**3 + 436*r + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000398 to five dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 9:23 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954486045.\nAnswer: 3, 5, 7070267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 11710316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147473 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 269167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 6810 = -9*d. Let x = 641 - d. What are the prime factors of x?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)\/(c\/c**4))\/(c**(-5)\/c*c*c*c**(-1\/8)) assuming c is positive.\nAnswer: c**(301\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -245322 or -245024?\nAnswer: -245322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488317980?\nAnswer: 2, 3, 5, 2467, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.43*-13364.\nAnswer: 460122.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, t: 13}. Give prob of picking 2 r.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19667 is divided by 207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11155, 11516, 12119, 12964?\n\"Answer: 121*z**2 - 2*z + 11036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2834 divided by -5\nAnswer: 2834\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 0.12, -3, 5, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1191 is divided by 379?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -18) + 13 - 18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19*((-1927)\/47)\/41?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, o: 4, k: 2}. Give prob of sequence wok.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 75, 176, 317, 498, 719?\n\"Answer: 20*y**2 + y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z. Let k(c) = -380*c**2 + 121. Let u(j) = 217*j**2 - 61. Let v(p) = -4*k(p) - 7*u(p). Calculate v(i(b)).\nAnswer: 16*b**2 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 1040, 2353, 4204, 6599, 9544, 13045?\nAnswer: 17108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*d - 30*d + 6*d**2)*(5 + 17*d - 5)*(3*d - 6*d + 2*d) as r*d**3 + l*d**2 + t*d**4 + s + w*d and give t.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = d - 27, -3*d + 2*d - 69 = -3*p. Calculate the highest common divisor of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, 1 y, and 1 r when four letters picked without replacement from ryyylrtrvlyrvc?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**3 + 6490*l - 6490*l.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**3 - 15*g**2 + 56718*g - 226832. What is o(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1380499659.\nAnswer: 3, 7, 11, 457, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0*((-52)\/(-8) + -6) - -179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -296 - 139. Suppose 0 = l - 106 - 58. Let s = l - w. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14593 - 11605. List the prime factors of x.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 1 + sqrt(98) - 5*(sqrt(98)*1 + sqrt(98))) + sqrt(98)*3 + 3 + (sqrt(98) - (sqrt(98) + 3)*3))**2.\nAnswer: 896*sqrt(2) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -12. Suppose -2*m + 5 = -2*k + 49, 44 = 2*k - r*m. Find the common denominator of -75\/14 and 1\/(-4)*412\/k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4.81 (b) -0.18 (c) 0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193 + -186. Solve 1 = -2*k + q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15866381 and 3235.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 0 - -356*(-16 + 1). What is v rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4204217 by -29.\nAnswer: -144973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/4214 and 107\/126420?\nAnswer: 126420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 114488 < 114488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 4*s**3 - 4*s**3 + (26*s**2 - 162 + 162)*(-s + s - 3*s**2).\nAnswer: -80*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, i: 3}. Give prob of picking 4 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 - 14*y + 46. Suppose -5*k - 3*x + 65 = 2*x, 0 = -2*k + 5*x + 26. What is the remainder when g(3) is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 1. Let s(d) = -3*d + 7. Suppose -225 = 270*u + 775 - 190. Determine u*s(l) - 6*g(l).\nAnswer: 3*l - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-24))\/(1\/(-33)). What is a rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tan when three letters picked without replacement from tpaapaan?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7000 = 302*j - 306*j + 4*y, 0 = -4*j + y + 7003. Calculate the highest common factor of j and 1957.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 1. Let i(v) = 9*v + 3. Let z(o) = -i(o) + 6*q(o). Let u be z(2). Let k be -3 + (-6)\/u + 5. Solve 0 = 3*r - k*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 75097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Let f(n) be the first derivative of -n**4\/4 - n**3\/3 + n**2\/2 + 5*n + 1. Let t be f(m). Solve 5*q + 16 = t*z - 14, q + 2*z = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9}. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -341293 by -319.\nAnswer: 341293\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (0 - -19 - (20 + -2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 143 * 77.565\nAnswer: 11091.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7898300 to the power of 1\/2, to the nearest integer?\nAnswer: 2810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6)**(-5) assuming c is positive.\nAnswer: c**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/4 - 1\/4. Suppose -4 + 9 = -z, -4*x - z - 13 = 0. Is x < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 2. Let f be j(6). Suppose 2 = 4*s + 3*p - 6, s - f*p = 21. Suppose -3*t = -s*t + 80. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144404210 (base 5) to base 9.\nAnswer: 1416130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 - -0.4. Let x = 25 - i. Let w = x + -23.0000095. What is w rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0) + (-1 - -290). What is the greatest common divisor of 29 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than or equal to 253.174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -43.24. Let w = 0.72709477 - -0.03290585. Let z = g - w. What is z rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82792027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 5, -1, 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -11*g**2 - 3*g - 8*g**2 + 20*g**2 - 4*g**3. Let m(z) = 9*z**3 - 3*z**2 + 7*z. What is -3*m(j) - 7*o(j)?\nAnswer: j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 = -2. Let s be (-23)\/(-2)*y\/(-1). Suppose s = t - 27. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -198*k**3*y - k**2*y**3 + 964*y**3 wrt k.\nAnswer: -594*k**2*y - 2*k*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -112957046 not equal to -112957047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) 0.058 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 5567799.\nAnswer: 5567799.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -333230*s**5 - 97841*s wrt s.\nAnswer: -6664600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.029, 16, 2\/5, 0.9, 0.1 in ascending order.\nAnswer: 0.029, 0.1, 2\/5, 0.9, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18829*k + 4294 = -18716*k for k.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-21)*1*63. Suppose 0 = 3*c + x*c. Find n such that 4\/7*n**3 + 8\/7*n + 12\/7*n**2 + c = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -606 divided by 608.\nAnswer: -303\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*w + 150. Let x = w - -43. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.123 + -2.177. Is o less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -52.8. Let t = 54 + u. What is the biggest value in -12, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 836, 0.06, 2\/9, 7, 2\/7, 1.7, -0.1?\nAnswer: 836","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c - 75. Let f(o) = o**3 - 3*o**2 - 10*o + 84. Let j be f(-4). Calculate h(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3832 + 3965. What is the greatest common factor of 247 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72165870 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4*(-2)\/(-8))\/(2\/(-10)). Which is smaller: 3 or a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/8 (b) 2 (c) 0.3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -4. Let k = 0 - 0. Let l = -0.5 + k. What is the biggest value in n, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.417506881 rounded to 1 dp?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1 (b) 1\/4 (c) 113.7 (d) 2\/27 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1, -183, -5, 3, -129, 135?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42875 + 61*z**3 + z**4 + 91*z**3 + 3177*z**2 + 46550*z - 46*z**3 + 603*z**2.\nAnswer: (z + 1)*(z + 35)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h. Let y(i) be the first derivative of 0*i + 0*i**2 - 2\/3*i**3 - 12. Give y(w(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 1652*j - 1843042. What is x(-632)?\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 17.5. Let v = -2.1 - r. What is the nearest to 2\/3 in -1\/5, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 539375489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**5 + 20*y**4 - 32*y**3 + 16*y**2.\nAnswer: -4*y**2*(y - 2)**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 698 divide 3987674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045 - 1103 - 918 = -105*f - 861 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 15*q + 7. Let v be x(-7). Suppose 13*g - 413 - 133 = v. Suppose -4*f + g = 34. Solve -f*w = -5*w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 1.5692?\nAnswer: -6.5692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110 - 46403141?\nAnswer: -46403251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygaggyaaayyyyvyrygy. What is prob of sequence vr?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166145.\nAnswer: 5, 7, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-6))\/(2\/(-2588)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - o**2 - o - 4. Let q be x(-2). Does 10 = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + -0.2. Let m = g + -0.8. Let u = -7 - m. What is the smallest value in -1, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -20. Let l(q) = 10*q**4 - 6*q**3 - 6*q + 7. Let a(y) = -20*y**4 + 13*y**3 + 13*y - 14. Let s(x) = k*a(x) + 13*l(x). Differentiate s(g) wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 11 + 2 = 3*l, 4*i = 3*l. Let m = 7 + l. What is the second derivative of -f**4 + f**4 + f**4 - m*f wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1281*u**2 - 61*u. Let x(m) = 64*m**2 - 3*m. What is 3*d(k) - 61*x(k)?\nAnswer: -61*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 222 + -222. Let p = -0.1 + 3.1. Let z = p + -1. Which is the closest to o? (a) -5 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3\/6 + 10*f**2\/3.\nAnswer: -5*f**2*(f - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007418869 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/10)*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -318779, -1275127, -2869041, -5100521, -7969567, -11476179?\nAnswer: -15620357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(9\/4)\/((c*c**15*c*c)\/c)*(c*c**13)\/c**2 assuming c is positive.\nAnswer: c**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.6726 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -16, -26, -42?\n\"Answer: -3*n**2 + 5*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 8 - 10)*(-33 + 87 + 173)*(-2*j - 3*j + 3*j)*(5 - 1 - 5).\nAnswer: 2270*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4182396789?\nAnswer: 3, 1394132263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -4 + 20. Suppose 88 = -f*c - 12. Which is greater: c or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4312242301034 - 0?\nAnswer: -4312242301034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558662 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.06 - 0.06. Let r = 16 - 97\/6. Which is the biggest value? (a) f (b) r (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 13, 4961, -2\/15, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 65.\nAnswer: 64.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -166344 take away 3?\nAnswer: -166347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 232275683 to the power of 1\/3, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2036, -4\/5, -14, 0.06?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 22 + 1410 = 0. Let t = -174 + l. Solve t*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 26*y = 13974. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 19*p**2 - 17*p + 23. Let f be 4\/(-10) + 176\/(-10). Let a be d(f). Suppose -6 = 3*l, a*l - 4*l = 4*k - 254. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfdcfced. What is prob of picking 1 x and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 435 + -432. Let f(p) be the first derivative of p**4 + 2\/3*p**6 - 4*p**d - 3 + 0*p + 12\/5*p**5 - 4*p**2. Factor f(m).\nAnswer: 4*m*(m - 1)*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5420881.\nAnswer: 43, 126067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 861 + 705 = 0 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 77, 129, 199, 293, 417, 577?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**3\/5 - 1268*i**2\/5 + 37144*i\/5 + 380352\/5 = 0.\nAnswer: -8, 42, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 28\/2459 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2122 and -2795.23?\nAnswer: 5931478.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -23. Let o = j + 11. Suppose 18*x + 2*x + 80 = 0. Sort 4, 0, o, x in decreasing order.\nAnswer: 4, o, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 36 = -2*b, x + 44 = 5*b - 0*x. Suppose 3*u = n + 2 - 10, 4*n + u = 6. Let k be (-40)\/(-1 + n - 2). What is the highest common factor of k and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, e: 1, l: 4, k: 3, r: 1}. Give prob of picking 1 r, 2 l, and 1 k.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-352)\/260 + 18\/15.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-44)*(-1518)\/(-2070)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 282 and 1128?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660) - (sqrt(660) + sqrt(660)*-2*-2))\/((sqrt(66)*-2 - sqrt(66))\/sqrt(6)))\/(sqrt(300)*3*1*-6).\nAnswer: -2*sqrt(5)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-1)\/((-432)\/336)*6\/(-21)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*-4*-1 - (4 + -3*sqrt(75))) + (5 + sqrt(75) + sqrt(75) + 2*sqrt(75) + sqrt(75) - (sqrt(75) + sqrt(75) + sqrt(75) + -4 + 3)))**2.\nAnswer: 180*sqrt(3) + 6079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -29. Suppose 4*z - s = -z. What is k in 10 - 7*k**2 - 12*k + z*k**2 + 4*k**2 + 2*k**2 = 0?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -705\/8 - -88. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 11*n**2 - 38*n - 12. Suppose 2*o + 0*o + 26 = -4*j, 4*o = 5*j + 52. Does 10 divide t(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -33 - (-8 + (-20)\/(-5)). Let s = -25 - d. Suppose -2*w = -3*r - 54, -s*r + 3 = -5. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8470940, 8470939, 8470938, 8470937, 8470936, 8470935?\nAnswer: 8470934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, -0.4, -1\/8, 0.014, -13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6060351\/92 > 65873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 1, j: 2, p: 8}. What is prob of sequence jn?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10663, -21327, -31991, -42655, -53319, -63983?\n\"Answer: -10664*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 69858327, 139716654, 209574981, 279433308, 349291635?\n\"Answer: 69858327*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1561 (base 9) to base 2\nAnswer: -10010100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-56)\/30 - -2). What is the common denominator of -3 + 40\/16 - (-77)\/j and -53\/33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3651054060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzxx when four letters picked without replacement from {x: 2, z: 2, f: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 94753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + -6 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -50*p + 41*p. Suppose -2*h = 5*s - 18, -p*h = -0*s + 4*s - 24. Calculate the least common multiple of 62 and s.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 0)*-9 - 3. Suppose -h - 3*h = -j. Suppose 3*y + 0*o = o - 1, -4*o + 4 = 2*y. Solve z + 4*b - 3 = 0, y*z + h = 2*z - 3*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -570, -1409, -2524, -3915, -5582?\n\"Answer: -138*v**2 - 425*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 g when three letters picked without replacement from ffwfwfgdwgwgfwpwegw.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -55*i**2. Let p(f) = -3*f. Determine y(p(z)).\nAnswer: -495*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/8736*351\/18?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 4*x + 4*p + 69, -x + 18 = 4*p. Solve -13*s + 5 = -x*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40.1 + -40.1398. Round d to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73.273812 - 0.045848\nAnswer: 73.227964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 14. Let l be n(-10). What is the units digit of (2\/l)\/((-2)\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 = -2*m - 4, -m = -2*t + 5. Suppose t*k = -7*g + 2*g + 63, 2*k = 5*g - 67. Calculate the remainder when 37 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/(-171) - (1298\/5895 + 0). Let o = 115967\/15720 - p. What is the common denominator of o and 51\/76?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, h: 7}. Give prob of picking 1 h and 1 q.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -0.3, 0.2, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = j - 7. Let z = j + -25. Solve z = -3*g + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -12012220021201?\nAnswer: -12012220022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 - 896*r**2\/5 + 25143*r\/5.\nAnswer: r*(r - 867)*(r - 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -61. What is the second derivative of -64*m + 39 - 17 - 22 + 3*m**s wrt m?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 3*g + 4, -7470*g + 7467*g = -5*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 4:08 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1439203135?\nAnswer: 5, 287840627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 836203332 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: Rearrange (-15*j**3 - 776*j + 776*j)*(2*j - j - 3*j) to the form n + s*j**3 + b*j + d*j**2 + f*j**4 and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 31. Let u be t(-2). Suppose 5 = -5*x - 5*l, -u*x + 31*x = 2*l + 6. Are -1\/5 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-8))\/(-2*1\/(-8)). Let p = -2\/1619 + 17817\/6476. What is the nearest to x in 1\/8, p, 0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -13) + (-1 - -10 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 726*j - 14525. Give y(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000102 - 120?\nAnswer: 10222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 1. Let u(b) = 6*b - 4. Determine -u(d) + 4*w(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 8 = 2*z - 6, -4*b + 2*z + 10 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 120?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/435 (b) -5 (c) 0.067 (d) -0.1 (e) -2.39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 9*x**2 + 53*x + 37. What is the units digit of a(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 4. Let f be 42\/8*16\/6. Let u = 10 - f. Let x(t) = 3*t - 3. Let v(i) = u*x(i) + 3*z(i). Let a(s) = -s**2. Calculate a(v(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d**2 - 4813*d - 198845. Calculate q(-557).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 1 + -1)*-4. Let w be (6\/(-2) - z)\/1. What is the highest common divisor of 15 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102210122002200 + -2?\nAnswer: -10102210122002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x**2 - 3*x - 13 - 9*x**2 - 28*x. Let n be o(-15). Find f, given that -380*f**n + 380*f**2 + 6*f**5 + 4*f**3 - 14*f**4 = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*i + 9374913 = 9377059 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -21\/2, -1, 2\/3, -7.7, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.6 + 1.6. Let u = -7 - f. What is the third smallest value in u, 2, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2671303*l**2 + 2114834?\nAnswer: 5342606*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 121211202?\nAnswer: 121211200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2018631 months to decades.\nAnswer: 0.0016821925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h. Suppose 6*q - 2 = -20. Let j(c) = -1. Determine q*j(i) + a(i).\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/16 - 10\/4. Sort -2, -4, p in descending order.\nAnswer: -2, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -13*x**3 - x**2 + x. Let m be w(1). Suppose 17 - 17 = -4*q - 4. What is the second smallest value in q, -1\/10, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-5))\/(3\/2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -93*w + 3. Let i(c) = 93*c - 2. What is -5*i(o) - 4*r(o)?\nAnswer: -93*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 + -38. Let c = n + -53.5. What is the nearest to -0.1 in c, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + w + 2*f + 18, 3*f = 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -73, -160, -273, -424, -625, -888, -1225?\n\"Answer: -2*u**3 - u**2 - 70*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3184*-2.6\nAnswer: -8278.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118195440?\nAnswer: 2, 3, 5, 11, 44771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (3*14 - (5 + -2)). Let b = r - -49. Suppose 3*n + 2*n = -25, 0 = 2*g - 2*n - 186. What is the greatest common factor of g and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*(-3)\/(-2))\/(8\/(-16)). Let o(p) = 3*p**2 - 3*p. Let m(c) = 3*c**2 - 2*c. Let h = 3 + -5. Determine b*m(t) + h*o(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 13*a**2 - 2*a. Let j be r(3). Let l = j + -69. Let k be (-9)\/3 - (-7 - (2 + 0)). Calculate the highest common divisor of k and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1370.8821 - 1371. Let b = 0.0021 - g. Let i be ((-6)\/4)\/(2\/(-4)). Sort i, -0.4, b, -3 in ascending order.\nAnswer: -3, -0.4, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(25\/((-600)\/36)*(-28)\/(-3))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1\/3 - (-75)\/45. Let r = 3 - -2. Let k(h) = -2 + 3*h - r*h - q + 2. Determine k(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -5\/6 (c) 37 (d) 4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d. Let x(m) = 423*m. What is z(x(n))?\nAnswer: -2538*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3bbb + -d4?\nAnswer: 3ae7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-480)\/(-288))\/(1\/75*1) is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30172937 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-99)\/(-9) + -11 + 16. Solve d + 90 = j*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*b + 27793133 - 27791341 for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 31. Let g(l) be the third derivative of l**5\/60 + l**4\/4 - 2*l**2. Let y be g(-6). Is o less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 81*w + 1046. Determine f(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ish when three letters picked without replacement from ohsuhhhgiggu?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2564829 and 14433?\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -118433 or -118425?\nAnswer: -118425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k**3 - 2*k**2 - 5*k + 2. Calculate z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1478 - 7?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -41551.15 * 0.4\nAnswer: -16620.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1\/(j**(-13\/2)\/j))**(3\/5))**(-33))**(14\/5) assuming j is positive.\nAnswer: j**(-11781\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/14 in 0.185, 5, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.784 + 0.206. Let k = c - -0.01. What is the biggest value in 0.3, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -411.8 to the nearest ten.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of -t**6\/120 - t**5\/60 + t**4\/12 + 2*t**3\/3 + 7*t**2. Let v be h(0). Solve -w - 9 = -v*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84310 - -218183. Is b 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 133223 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11485 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 16) to base 3\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6*s**2 - 6*s. Suppose -2*f + t = -3*t + 2, 2*t - 6 = 0. Let y(m) = -f*m**2 - 2*m - 2*m - m. Give -4*w(o) + 5*y(o).\nAnswer: -o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997 a factor of 1416014113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 8:20 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.3 and -17283?\nAnswer: 57033.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.046 - -0.044. What is the third smallest value in 0.5, 4\/7, s?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -574 + 574 + 2166*m in the form k*m + t and give k.\nAnswer: 2166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-1*16\/2. Let n = s - -11. Suppose -7 = -2*t - 3*f, 22 = 5*t - n*f - 6. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187196831 a multiple of 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431, -867, -1305, -1745?\nAnswer: -2187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 861 + 107 - 120 - x + 220 + 0*x to i*x + g and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 163.3 in 2\/3, 3, -2\/5, 6\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25278 is divided by 12636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 948, 1901, 2856, 3807, 4748, 5673?\n\"Answer: -r**3 + 7*r**2 + 939*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 7*v - 8. Let t be f(-6). What is the units digit of (-6)\/(t + 12\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339644 is divided by 193.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13.8159 and -0.02.\nAnswer: 13.7959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214031?\nAnswer: 3, 7, 13, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*l*q*v - 9*l*v**3 + 2*l*v - 183*q*v**3 - 2749*q - 1739071*v**3 wrt q?\nAnswer: -6*l*v - 183*v**3 - 2749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -244541 greater than -244401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2410716852?\nAnswer: 2, 3, 41, 1633277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/17 (b) -9\/133 (c) -1\/14 (d) 0 (e) 1\/4 (f) 5 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0 (c) -1 (d) 1257 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 10*p - 34 - 3*p + 34 + 13*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z + 1. Let t be x(-1). Suppose 24 = -2*h + t*h. Suppose h = -k - k. Which is bigger: k or -7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 4*d**3\/3 + 2*d**2 - 24*d - 434. Suppose v(s) = 0. What is s?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 135*p**2 - 1584*p + 1452.\nAnswer: -3*(p - 22)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a**2 + 18*a**2 + 21*a**2 - 91*a**2 + 13*a**2 + 23*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648 and 62837532?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5761 divide 78258937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58516811 to the power of 1\/2, to the nearest integer?\nAnswer: 7650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 33. Let t be p(-15). Suppose -4 = 4*j - t*d + 2*d, -8 = 4*j - 2*d. Sort -4, -1, -13, j in increasing order.\nAnswer: -13, -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011001 + -1010001?\nAnswer: 101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*y + 267 + 351 + 354 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -5 (c) -8\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**4\/5 + 931338*k**3\/5 + 3725363*k**2\/5 + 4656708*k\/5 + 1862684\/5 = 0?\nAnswer: -2, -1, 931342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 s, and 1 m when four letters picked without replacement from lssseleemsm?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 10:19 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -13*g - 513. Suppose -91*p + 300 = -96*p. Is g >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10211100 (base 3) to base 16\nAnswer: -ae6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*j + 4, 4*c - j + 3*j = -12. Find the common denominator of (-141)\/72*(-16)\/c and -47\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 1 - 586*x + 604*x + 13 - 14*x**3.\nAnswer: -15*x**3 + 18*x + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089 divided by 390?\nAnswer: 363\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59563689 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1490*h**3*o*s - 159*h**3*o + 198562*h**3*s + 62894*h**2*o + 4*o wrt s?\nAnswer: -1490*h**3*o + 198562*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.7 - -13. Is -3 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2401\/161 + -15)*184\/(-32)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k**3 - 33*k**2 + 69*k - 27. Let o(l) = 26*l**3 + 98*l**2 - 206*l + 82. Let i(x) = 6*o(x) + 17*p(x). Determine h, given that i(h) = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 189 = -4*t, -34 = -y - 3*t. Let i = y + -39. Is (4\/8)\/(i\/(-652)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 46*l**2. Suppose -6*x + 10 = -x. Let i(j) = 40 - 68 + 28 + 4*j**x. Give i(r(d)).\nAnswer: 8464*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 46196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.19 - 6.19. Which is the third biggest value? (a) y (b) -1 (c) 139 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000079108 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-two fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23874 - -47749\/2. What is f in 0 + 1\/2*f**3 - f + s*f**5 + 3\/2*f**2 - 3\/2*f**4 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: -11 - 90562\nAnswer: -90573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 16*m + 13. Let j be c(10). Let a = -46 + j. Find the first derivative of 3 + 10*n**2 + 9 + a*n**2 - 9*n**2 wrt n.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.039 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 + -476. Let x = z + 707\/2. Which is the third smallest value? (a) x (b) -3 (c) 0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(567) + (sqrt(567) + 0)*-1 - (sqrt(567) + (sqrt(567) - (-1*sqrt(567)*1 + sqrt(567)))))**2 + 0 + -2.\nAnswer: -4538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 16 = -0. What is the units digit of -2 - d - (1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 10*j**3 - 15*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -136754, -273507, -410260, -547013?\n\"Answer: -136753*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1239554560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-one thirds of a century?\nAnswer: 28400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 + 6*c + 8. Let p(u) = 3*u**2 - 43 + 97 - 39 + 11*u - 7*u**2. Let t(i) = -5*o(i) + 2*p(i). Factor t(v).\nAnswer: 2*(v - 5)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -28. Let s(g) = g**3 - 8*g**2 + 7*g + 10. Calculate the remainder when j is divided by s(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2544 divided by 159.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2132 + 1?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94211.0039961 + -94211. Let m = -0.004 + n. What is m rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or -0.03779?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:58 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 6*h - 6. Suppose -17 + 5 = 2*j. Calculate u(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2433373 and 2433374 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/18416090 and -69\/34201310?\nAnswer: 239409170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 971991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-2*1 - -6. Suppose -3 = -4*g + c, -x*g + 3*c - 1 = -2. Is (90 - g)*(3 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114 + 68. Let b = -3.849 - -2.849. What is the third smallest value in f, b, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d - 6. Give b(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2226 and 4452?\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 51781624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + 2 + 7 - (3 - -11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from uuuuuuuuuuuuuuuuwu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1743 = 13. Suppose 0 = 3*v + 2*s - 3*s - c, -440 = -4*v - 4*s. List the prime factors of v.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 17*b**3 - 6*b**2. Let p(z) = 50*z**3 - 17*z**2. Determine 11*f(y) - 4*p(y).\nAnswer: -13*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkwkmkmkwmmwkmkkw. What is prob of sequence mm?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 27*g - 19*g. Let j = 0.13 + 7.87. Which is the biggest value? (a) g (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -10*h**4\/11 + 48*h**3\/11 - 82*h**2\/11 + 60*h\/11 - 16\/11 = 0.\nAnswer: 4\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:46 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8723 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 4*q**2 + q - 1. Determine p(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/6*(-4)\/84*-6. Which is the nearest to 0.1? (a) -1\/9 (b) 2 (c) g (d) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-1430)*-11*273\/70?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 406*n**2 - 16 + 12*n - 5*n + 5 - 9. Let t be k(8). Let j = t + -1457069\/56. Find the common denominator of 71\/14 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -16*j - 2. Calculate the remainder when d(-6) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (12 - (-24 - (0 - 10)) - 8)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3785157370 to the nearest one hundred thousand.\nAnswer: -3785200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 373 = -2*o, 791 = -4*o - 7*k + 2*k. Let w be (-352)\/(-12)*(-1 + o\/(-8)). Suppose 12*r = r + w. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by 6.\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/7, 1, 67787, -2.7?\nAnswer: 67787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + u. Let x(f) = -6*f - 25. Let l be x(u). What is l rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axowojx. Give prob of picking 1 j and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p + 14*p - 9*p + 3*p.\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/35)\/(16\/8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*b - 14, 5 + 3 = -4*f + 4*b. Let c(t) = -9*t**2 - 2*t + 1. Let h be c(f). List the prime factors of h\/(-20) + (-118)\/(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -7267, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, q: 3, x: 3, h: 1, u: 1, a: 3}. Give prob of picking 1 x and 1 h.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 17204488*q + 36999300917768.\nAnswer: 2*(q - 4301122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 81*j**4 - 6*j**3 - 24381*j**2 - 90534*j + 6840 = 0.\nAnswer: -15, -4, 2\/27, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*q + 1218*q - 282*q + 1173*q.\nAnswer: 1670*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4248254*m + 1. Let v be o(3). Suppose k - 2*x + 18844767 = -0*k, -2*k = x + 37689524. Let t = v + k. What is t rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14 + (-12)\/(-42). Is -1\/11 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(420\/(-91)) + 6\/(-10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) 4 (c) 2 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1))**(3\/20))**(-44\/5))**(7\/9) assuming k is positive.\nAnswer: k**(77\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**9\/504 + c**6\/45 - 2*c**3\/3 + 1. Let q(n) be the third derivative of g(n). Find the third derivative of q(w) wrt w.\nAnswer: -360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1\/6 (b) 0.1 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -18108*i**2 + 35813*i**2 - 17975*i**2. Let s(n) = 12*n**2. Determine w(s(u)).\nAnswer: -38880*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - n = -0*n + 6, -9 = 4*r + n. Let g be 3 + -4 - (r + 3). Let i be g + (3\/(-18))\/((-1)\/29). Which is smaller: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 7:40 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*z + 46, 3*k + 5*z + 38 = z. Let m(o) = -o**2 - 12*o - 14. Let v be m(k). Let n(i) = -i**2 + 8*i + 4. Calculate n(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22254, -22267, -22302, -22371, -22486, -22659, -22902?\n\"Answer: -2*w**3 + w**2 - 2*w - 22251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 136 = l, -5*r + 75 = 4*l - 49. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -11*q**3\/3 - 1235. Let p(r) = 78*r**2. Determine p(m(v)).\nAnswer: 9438*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 4 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*k - 6 + 6)*(k + 4*k - 3*k) + 9*k**2 + 22*k**2 - 4*k**2)*(1 - 1 + 4)*(-2*k + 4 - 4).\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 12330592.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/((-5)\/(-20))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**2 + 2415*h + 110250 = 0 for h.\nAnswer: -42, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 5, g: 1, v: 1}. Give prob of sequence vf.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 1216521884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-6)*105\/(-14). Let k = s + 29. Solve 28 = -b - 5*y + 1, k*y = -5*b - 30 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4 + (-1570)\/(-36) - ((-187252)\/(-1521) - 123)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -26, 2, 29 in decreasing order.\nAnswer: 29, 11, 4, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1360\/9 + 9655\/63. What is the common denominator of u and -67\/696?\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7*(3 + (1 - 3)). What is the units digit of (0 - -15) + (n - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78001686 to the nearest integer?\nAnswer: 8832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/2 - 29*h\/2 + 5.\nAnswer: -(h + 10)*(3*h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -133.5 plus 240.84?\nAnswer: 107.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 11*h + 8*h = -88, -o + h + 100 = 0. Let l = 530 + o. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d (base 14) in base 12?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1*427\/(6100\/100)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 5)\/6*(-1)\/2. Suppose g = -3*f - 5*b + 1059, 722 = 6*f - 4*f - 2*b. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-6)\/9)*207\/966.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpgpgppggpppuppgpggp. What is prob of picking 1 p, 1 u, and 1 g?\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -14306, 60, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4 - -4) + 0)\/(-1). Let m be 12\/(1 + 28\/8). Let q = m - 7\/3. Sort r, q, -0.2 in decreasing order.\nAnswer: q, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46223, -92641, -139059, -185477, -231895, -278313?\n\"Answer: -46418*j + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x - 2. Let f(y) = -3*y + 1. Let g(d) = -11*f(d) - 4*w(d). What is g(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 plus -12892?\nAnswer: -12891.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 26 = 31 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from uvxcyuu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 94225.46 days in weeks?\nAnswer: 13460.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -80, 82, -0.24, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25, 15, -3, -29, -63?\n\"Answer: -4*c**2 + 2*c + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -22\/19 (c) 2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(3\/2)\/3. Suppose j*q + 10 = 4*q. Let f be 52\/16 + -3 - (-21)\/12. Solve -2*l - f*v = 3*v + 6, 0 = q*v + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2. Let a = -27 - -9. Suppose 4 = -2*o + o. Let h(j) be the third derivative of -j**5\/60 - 68*j**2 - 2. Calculate a*h(c) + o*q(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-838 - -734) + (-7 - -191)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*z - 39, 32 = 2*z + 2*x + 2*x. Suppose w + 41 = z. Let y be 2\/6 - w\/(-195). Is -1 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 97 + 23. Let i be (555000\/2)\/(((-35)\/m)\/(-7)). What is i rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 382.0698*0.01\nAnswer: 3.820698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 greater than -2\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-35)\/336)*(-98)\/(-6). Let u(i) = -784 - 5*i + 3*i + q. Let p(n) = 32*n**2. Determine p(u(z)).\nAnswer: 128*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46897 is divided by 45112.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 65939.6 + -65940. Let y = 2 - 1. Suppose -w + 5 = 3*s, -3*w - 2*w = 4*s + 8. Which is the third biggest value? (a) y (b) q (c) w (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 173 + -173.32. Round y to 2 decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62841*p + 62836*p + 70. Calculate the lowest common multiple of p and 2938.\nAnswer: 20566","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/4 of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**11)\/p**(3\/11)*(p\/p**(-11))\/p**(2\/31) assuming p is positive.\nAnswer: p**(8410\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 2\/17 (c) 1.7 (d) -4 (e) -11\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*p. Let b(n) = 4*n + 60. Let l be b(-14). Put l, p, 1 in decreasing order.\nAnswer: l, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -209545625*m**5 - 1820739*m**2 + 60?\nAnswer: -12572737500*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -15*v + 314. Let d(h) = -5*h**2 + 132*h. Give d(x(k)).\nAnswer: -1125*k**2 + 45120*k - 451532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1. Let n(v) be the first derivative of 6*v**2 + 8*v - 4. Let z(l) = -n(l) - y(l). Let h(o) = -4*o - 2. Let u(r) = -7*h(r) + 2*z(r). Determine u(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 96683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*4*(-12)\/24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.426 * -0.0274.\nAnswer: -0.0116724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18.018, 1\/3, 0.205, 0.6?\nAnswer: -18.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 5*s - 3. Let b be g(-5). Let c = b - -9. 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: Find the common denominator of 62\/32679 and -69\/72620.\nAnswer: 653580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*o = 15, 0 = -3*q + 117*o - 122*o + 28 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/11, -32\/1497.\nAnswer: -0.3, -32\/1497, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 847000 and 200585?\nAnswer: 441287000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -359, 1, -1\/6, 2.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -23523 and 127782.7.\nAnswer: 104259.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-35) + 151\/7. What are the prime factors of 1761\/q - (-2)\/14?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*c + 5*c. Let r be (263\/c)\/(11\/(-165)). Suppose -4*x + m + 8188 = 0, x + 5*m - 732 = r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/5, -61, -3, -0.03, 8\/143, -1\/8, 0.5?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13219\/2 + 6602. What is the closest to -2\/3 in -1\/21, -4, o?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p*(p\/(p*(p**4*p)\/p))\/p)\/(p*p*p**(1\/3))**(-21) assuming p is positive.\nAnswer: p**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 281, 742, 1361, 2138?\n\"Answer: 79*l**2 + 224*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -470.\nAnswer: 1\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.2 (b) 0.8 (c) -1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h + 25*h - 54*h + 74 - 154 + 80.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25 + 17 + 19*a**3 + 21 - a**3 with respect to a.\nAnswer: 54*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -12 + (-1 - -26).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1044420 - -1114?\nAnswer: 1101034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlog when four letters picked without replacement from tolllltlttglololtt.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p - 3. Let g be -1 + 0 + (1 - -4). Suppose -g*d - 4 = -0. Let h = d - -6. Let q(x) = 2*x + 2. Give h*q(n) + 3*s(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3257*z**2 + z - 2. Let p be (-2)\/12*6\/(-1). Let i be y(p). What are the prime factors of (i\/66)\/(2\/3)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 49, 4, -21, 5.\nAnswer: -21, 3, 4, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 12*c + 14. Suppose 0*p - 33 = -3*p. Calculate s(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c + 92*c**2 + 107*c**2 + 112*c**2 - 4*c - 308*c**2.\nAnswer: 3*c**2 + 12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/2 + 722759913*v - 174127297279922523\/2.\nAnswer: -3*(v - 240919971)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65.8 + -66. Let a be (2\/(-6))\/(2\/4). Sort a, t, 3 in descending order.\nAnswer: 3, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**2 + 6*u - 3. Let z be x(4). Let g = -6 - z. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) -20\/7 (c) 78 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 517 (base 16) to base 10\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*c = -454, -5*c = 3*j + 283 - 3. Let f = 87 + j. What is the closest to -0.1 in -2\/7, 4, f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -30*d + 152. Determine n(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54 minus 107410?\nAnswer: -107409.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1276)\/44)\/377*-13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/2*15\/(-3). Let s = 8 + b. Suppose s*l - 58 - 9 = -5*d, -3*d + 2*l + 25 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -25*j + 243. Let y be s(9). Calculate the greatest common divisor of 10 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -458 - -463. Suppose -w*o + 10 = -0*o. Solve 0*i - 5*g - 15 = -5*i, -4 = -o*i + 4*g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57681819001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408224 is divided by 25493?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-35)\/168)\/(40\/32).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) -16 (b) 5 (c) 32 (d) -4 (e) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*-2*sqrt(15))\/(sqrt(3)*3*1).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 13*v**2 - 7*v + 9. Let y be d(-4). Suppose 13*x - 6*x = y. What is the highest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 18*j + 606. Calculate f(-33).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w - 4*w**2 + 41*w - 55*w - 27*w**2.\nAnswer: -31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6 + 217621.\nAnswer: 217623.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8268 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from yyyypnyyyyypmuyymym.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(8)*3) + sqrt(3) + 1 + 3*sqrt(3).\nAnswer: 1 + 13*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + -10 - (0 - 1). Is (-1)\/(-4) - 924\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2192457.\nAnswer: 3, 730819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**4 + 5*v**3 - 5*v - 4. Let i(h) = h**3 - h. Let j(g) = -c(g) + 5*i(g). What is the derivative of j(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363373?\nAnswer: 363373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - 1\/2*y**2 + 3\/2*y.\nAnswer: -(y - 2)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -1212022002100?\nAnswer: 1212022002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.717942 to 2 dps.\nAnswer: -22.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231 (base 6) to base 9.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 70. Let b be 1228\/18 - (-8)\/(-36). Let s = b - w. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 - 79. Let z be 25\/(-20) - m\/4. Let k = 13\/12 - 223\/228. Which is the closest to z? (a) k (b) -2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-169)\/(-104)*(920\/70 - 12).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 + -503\/5. What is the nearest to -2.5 in 2\/7, d, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 90098*f**2. Let r(u) = 5*u**2. Give l(r(i)).\nAnswer: 2252450*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9688, -38756, -87200, -155020?\n\"Answer: -9688*x**2 - 4*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45636 or -45593?\nAnswer: -45636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3890, -15571, -35048, -62321, -97390?\nAnswer: -140255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126954?\nAnswer: 2, 3, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b - 498898 = -499574 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, n: 3}. What is prob of sequence fffn?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.06 + 7. Let z(n) = 21*n**2 + 887*n + 208. Let p be z(-42). Which is greater: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 170012160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (178 + 21 - 15)*(94*x + 17*x**3 - 94*x) + 0*x**2 + 0*x**2 + 2*x**3 to f*x**3 + g*x + w*x**2 + v and give f.\nAnswer: 3130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10)*(2\/(-56))\/(56\/(246400\/132))?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6 = 4*t - 3, -t + 3*i = -12. Which is the nearest to -0.3? (a) 2 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a + 16178*s + 137 = 16176*s, 2*s + 110 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*r - 26*r + 3575880 = 173*r. Is r a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-1) - ((3 - 5) + 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 7*b - 1. Let q be y(-7). Is -1\/10 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05689 - 1\nAnswer: -0.94311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34063 (base 11) to base 2.\nAnswer: 1100000010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 74.4 + 2892376.03735\nAnswer: 2892450.43735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -2e5b9?\nAnswer: 2e5be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/143*23100\/450?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 i, and 1 v when three letters picked without replacement from vijjviijrvvivjvrvrrv.\nAnswer: 32\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.3922482 years?\nAnswer: 0.0003922482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-370)\/185*((-390)\/(-10))\/13\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/71440 and 129\/380?\nAnswer: 71440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2080.083 times -44\nAnswer: -91523.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 7*o - 3. Suppose 4*b - 5*b + 17 = -4*n, -11 = -4*b - 3*n. Suppose -p = -b*r + 13, 0 + 2 = r. Calculate a(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 11:41 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -g + 570. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = -36. Let t be ((-138)\/15)\/((-2)\/(-5)). Do t and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 873663.4ml to litres.\nAnswer: 873.6634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {o: 10, d: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 8*o + 28. Calculate the greatest common factor of o and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**3 - 1. Let u be m(1). Let q(c) = 3*c - 2 - 4*c - c**u + 1. Let w(j) = -3*j - j**3 - 4*j**2 - j**3 + j**3 - 3. Give 6*q(v) - 2*w(v).\nAnswer: 2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-2)\/(-4 + 8 - 3)). What is the nearest to 2\/3 in -3, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*q + 4*y + 4, q + 5*y - 8 = 0. Let v(p) be the second derivative of p**5\/20 - p**4\/6 - 5*p**3\/6 + p**2 + 140*p. Calculate v(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 58 = -4*u, -77*t + 82*t = 5*u + 200. Solve -t*l = -39*l - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 25*s**2. Let t(l) = 201*l - l**2 + 205*l - 406*l. What is t(r(w))?\nAnswer: -625*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*a**3*l**2 - 11*a**3*y**2 - a**2*l*y**2 + 45*a*l**2*y**2 + 2*l**2 - 10*y**2 wrt a.\nAnswer: 186*l**2 - 66*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/5 and (6\/39)\/((-2)\/(-5)).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i*t**3 + 3*i*t**2 - 28*i*t - 20283*t**3 + 288 wrt t?\nAnswer: -30*i - 121698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57400611.\nAnswer: 3, 149, 128413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 278336 + -45?\nAnswer: 278281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gceeegegguggggeggcg. Give prob of sequence egu.\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 2. Let a be 2\/(24\/18)*-2. Let k be (9\/a)\/(3\/(-3)). What is p(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.9 + -5. Let o = 0.257 + -0.107. Let w = o + 0.34. Which is the third smallest value? (a) w (b) z (c) -0.4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/8, -2\/7, -2\/27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1960*g**2*i**3 + 7833*g**2 - 16780*g*i**3 + 2*g*i + i**3 + 3*i - 3 wrt g.\nAnswer: 3920*i**3 + 15666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 70*f + 673. Determine m(11).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8841 times -5?\nAnswer: -44205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**5\/20 + 5*c**4\/12 + c**3\/6 - 15*c**2\/2 - c. Suppose -28 = 6*w - 4. List the prime factors of x(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 5*f - 25, 5*h + 4*f - 30 - 31 = 0. Solve -3*u - 1 + h = -z, -4*z + u = 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + c + 116 = 102, -c + 7 = 2*i. Solve -2*p = -j - 5, 4*p - i*p = -3*j - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i + 27. Let k be t(-3). Let b be (-1 - 0) + (-4)\/((-8)\/k). Solve n - 4*n + q + 10 = 0, -b*n - 4*q + 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 76 = 8. Let b = q - -12. Solve v - 4*v + a + 15 = b, 5*a = -3*v - 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j - 4*m, 3*j + 2*m - 17 = -3*m. Let x(t) = 2*t**2 - 13*t - 41. What are the prime factors of x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.5*-219623\nAnswer: 5600386.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**4 - 45360*t**3 - 2737520*t**2 - 18994560*t = 0.\nAnswer: -52, -8, 0, 9132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.47 - 1.27. Let t = 1.7 - c. Let g = 1.5 - t. What is the closest to 0.1 in 3, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/539 or 1?\nAnswer: -10\/539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 6\/(-8)) + -2. Let x = 243 + -243.2. Let z = -8 + 7.94. What is the nearest to z in -1, x, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4023785 is divided by 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 12:20 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(2*(-8)\/248*4\/8*-2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 2 - 2 + 3 + 1 + (2 + 2 - 2)*(2 + 0 - 1))*(44*n**4 + 60*n - 60*n).\nAnswer: -88*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((3078\/760)\/(-27)*(-24)\/9)\/(-1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16312 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 8:38 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 1, 49, 2842, 2 in descending order.\nAnswer: 2842, 49, 4, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20*(-1)\/50)\/(16\/(-10)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 247 + -108. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24162*f**6 - 6*f**2 - 2296*f.\nAnswer: 2899440*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzkk when four letters picked without replacement from kekzzhuauaeazehezk?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1069*o + 257637. Determine t(-241).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6\/11))**47 assuming z is positive.\nAnswer: z**(-282\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/15*5*-1. Let f be 1 - 2 - (-40 - a). Let r = -25 + f. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/920 and (-96)\/(-20) + -5 - (3 + 1574\/(-320)).\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9888)\/(-16128) - (-12)\/(-21)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 21.\nAnswer: -41\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 13. Solve 8 = -p - 2*f, n = 5*f + 33 - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 26\/7, -11\/4, -14.134?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*i**2 - 110*i**2 - 82*i**2 + 249*i**2 - 94*i**2.\nAnswer: -122*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -353*b**3*d**3 + 8*b**2*d**3 + 2*b**2*d**2 - 2 wrt b?\nAnswer: -2118*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111 + -101?\nAnswer: 1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 136403 = -5*a, -40477 = -5*a - 5*l + 95928. Is 248 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3 = 3*q, -3*d = -3*q + 2*d - 9. What is the smallest common multiple of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j = -2*w - 26, 3*j + 3*w = 51. Suppose h + 2*h + j = 0. Is 5 a factor of 3 + h + 11\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - h - h = -88, -d + 2*h = 24. Let i be -3 + 2 - d\/2. Suppose 1 = n + 4*s, 2*n - 2*s - 13 = i*n. Let c(w) = 2*w. Determine c(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 39756, -0.4, 3, -10, -1?\nAnswer: 39756","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 20 - 14 = 0. Let p(x) = -x**2 - 10*x + 10. Let g(f) = -f**2 - 6*f + 10. Let s(b) = -3*g(b) + 4*p(b). Does 19 divide s(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w**(2\/5)\/w)))*w)**(-22)*(w*w\/(w**0*w))\/w**(-5) assuming w is positive.\nAnswer: w**(-256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 354\/5. Suppose -2*s = 4*t + 4, 2*s - t - 5 = -2*t. What is the second biggest value in -5, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.978281*-0.5.\nAnswer: 5.4891405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 1. Let z be c(4). Let i be 6\/z - (-2)\/3. Let q = 40 - 41. Put q, i, -5 in decreasing order.\nAnswer: i, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-572)\/(-5210)*44\/(-8). Let i = h - -2\/521. Let r = -68 + 67.5. What is the third biggest value in 0.3, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-85))\/((6\/(-20))\/(90\/(-150)))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2, 0.7, -0.2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 173*x**2 + 25*x - 57. List the prime factors of i(3).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22197693?\nAnswer: 3, 7, 1057033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 11*l + 6*l - 26*l. Let j(t) be the third derivative of 0*t + 0 - 1\/36*t**5 - 13*t**2 + l*t**4 + 10\/9*t**3. Factor j(r).\nAnswer: -5*(r - 2)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 8:53 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 13*x**2 + 37*x + 19. Let s be b(-9). Solve -4*v + s = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 9:51 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1223 rounded to three dps?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22958849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -49*c**4\/24 + 4*c**2 + c. Let t(p) = p - 1650 + 1650. Calculate q(t(y)).\nAnswer: -49*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -81, -166, -251, -336, -421, -506?\n\"Answer: -85*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 8*o**2 + 7*o. Let b be n(7). Let y(f) = -f - f - 5 + f. Calculate y(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/20*4*80\/6. Let p = -13 + 25. What is the greatest common divisor of p and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*h - 2*h + 11, 0 = -3*d + 5*h. Let a be 1*(-2 + (-12)\/(-32)*6). What is the third smallest value in a, -1\/4, 18, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 4:26 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*w**3 + 4*w**2 + 12*w - 1738?\nAnswer: -12*w**2 + 8*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633844 divided by -2?\nAnswer: -816922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21788 - 21788 + l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + -5*(2 + (sqrt(242) - (sqrt(242) + 1)) + sqrt(242)))**2.\nAnswer: 990*sqrt(2) + 6130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*p**2 - 4*p**2 - 2 - 4*p + 2 in the form j*p + i + t*p**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 30 - -5 - 1) + 4 - 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 177856 > 177860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -23. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 1. Let h(w) = 8*w**3 + 5*w + 5. Suppose 0 = -16*p + 20*p + 4. Suppose 16*q = 23*q + 69*q - 380. Give p*h(u) + q*c(u).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46)\/(-460) - (15 + 3198\/(-220)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**6\/360 - i**5\/15 - i**4\/6 + i**3\/6 - 4*i. Let p(y) be the second derivative of d(y). What is p(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1470400 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(0 + (-16)\/(-6)). Suppose -5*t + 130 = 5*x, x + 2*x + 4*t - 77 = 0. Let l = r + x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24, 86, 274, 540, 884?\n\"Answer: 39*y**2 - 7*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -994.3 + 994. Let o be (-5)\/(-2) + 4\/(-8). What is the third smallest value in o, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18\/17 + -107\/85. Let v = 7 + -7.3. Let i = -0.2 - v. What is the nearest to i in -4, 2\/7, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -3. Suppose m*c - 12 = c. Suppose c*k = -k. Solve -2*d - 3*a + 6 = k, 3*a + 9 - 3 = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.57545 days in microseconds?\nAnswer: 1432118880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/5)\/(-4) - 68\/(-40). Suppose -3*y + 6*y - 6 = s, 3*y = 4*s + 6. Does m = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-8710 - (-7 + 7)). Is -3 - (i + 2\/(1 + 1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d2 (base 15) to base 8\nAnswer: -646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20854)\/28 + (-5 - -5). Let q = g + 746. Find the common denominator of q and 57\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2. Suppose -3*p - p = -20. Let x(o) = -10*o**2 - p*o**2 + o - o. What is u(x(z))?\nAnswer: 450*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-4 - (-1 + 5)) + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = l + 4*l. Suppose -13*t = -5*t + 8. Put t, 4, l in decreasing order.\nAnswer: 4, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 9*f**2 + 4*f + 5. Let s be w(-9). Let p be ((-2)\/3)\/((-3)\/(-27)). Let c = p - s. Is c a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.2, -38, -0.21, -2\/13 in descending order.\nAnswer: -2\/13, -0.2, -0.21, -0.3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((5104\/66)\/(-116))\/(7\/1))\/((-2)\/12)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 67. Let s(q) = -q**2. Calculate v(s(y)).\nAnswer: -2*y**2 - 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2068 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**5 - 2*z**5 - 2*z**5)*(-164 - 18 + 20).\nAnswer: 648*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-576)\/(-110))\/8)\/((-81)\/270)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7674.\nAnswer: 2, 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 + -2. Let s = 1531 - 1529. Let d be 1 + 0 - (-5)\/(-2). Which is the nearest to q? (a) -1 (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -9*m**4\/4 + m**3 - 3*m**2\/2 - 4*m - 18. Let r be k(-3). What is the greatest common factor of r and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11.57 (b) 17 (c) -1\/11 (d) -639\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717685 is divided by 267?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f - 99. Let n be m(15). Put 3, n, -2 in ascending order.\nAnswer: n, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10*y**5 + 0*y + 53\/2*y**4 + 2*y**2 + 14*y**3 = 0. Calculate y.\nAnswer: -2, -2\/5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*j - 54*j - 30*j.\nAnswer: -153*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*h = -107*h - 98580. What is the smallest common multiple of h and 27?\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d - 3*u = 21, -u - 5 = 0. Let n be 3\/(-7)*(-8)\/(-6). Let p = 27 - 23. What is the closest to 1\/4 in p, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 450*t**2 - 58*t - 54. Calculate the remainder when c(-1) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c**2*n**4 + 66*c**2*n**3 - 89*c**2 - 2 with respect to n.\nAnswer: -20*c**2*n**3 + 198*c**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19472*p + 7 - 19471*p + p**2 - 19262*p + 58205*p - 7.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 12 = 9*h - 14*h, 5*c - 11 = -2*h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(24)*-2)\/sqrt(8) + (-5 + sqrt(3)*1)**2).\nAnswer: -12*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*s - 4, 0 = 3*s + 3*i - 3. Suppose 0*a - 201 = -s*a. Let n = a - 8. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/126 - 464\/154. Which is greater: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, w: 1, m: 1, r: 2}. What is prob of picking 2 h?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24709.05 and 0.5.\nAnswer: -12354.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042374 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 + -97. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 221, 222, 219, 212, 201?\n\"Answer: -2*p**2 + 7*p + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 12*x + 17. Let v be w(-13). Suppose 4 + v = 4*i. Solve 0 = 5*p - i*h - 16, 2*p + 18 = 4*p + 5*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6346.33132 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 + 187*s**2 - 5*s**2.\nAnswer: 169*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/78 + (-206)\/1339?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17352 divided by -2?\nAnswer: -8676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*g**4 + 2*f**3 + 29397*f*g**2 - 5223*f*g wrt g?\nAnswer: -24*f**3*g**2 + 58794*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203 + 210. Let s = 42.8 + o. Round s to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28 + (-368)\/32*2. Solve -2*y - 30 + 47 = -o*t, 4*y + t = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 + 57*l**2\/2 + 408*l + 1568.\nAnswer: (l + 8)**2*(l + 98)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/20 - (-154)\/70?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -18*i - 25. Let z(l) = 55*l + 76. Determine -17*c(j) - 6*z(j).\nAnswer: -24*j - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1024 + 1064 + (0 - 19) + -148\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 32*r**2 + 31*r + 5. Let l be d(31). Solve 5*n + 22 = t, -4*n = l*t - 11 + 46 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.41 + -6.952. Let j = 0.452 + g. What is the third biggest value in 0.08, -1\/3, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.48? (a) -120 (b) -0.1 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 3*a - 93*l + 91*l, 5*l - 25 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249 divided by -5.\nAnswer: 249\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**2 + 14*j - 4. Let f(n) = 6*n**2 - 15*n + 3. Let x(g) = 4*f(g) + 5*w(g). Let o be x(9). Which is smaller: 10\/9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -706 = -54*r + 1886. Calculate the lowest common multiple of 336 and r.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43110 + -13?\nAnswer: 43053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**5\/20 + y**4\/3 + 2*y**3\/3 + 4*y**2 + 43*y. Calculate the remainder when 28 is divided by r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -7. Let p = u + -32. Let s = p - 19.3. Which is the nearest to s? (a) 3 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*v + v - 60, 2*q = -4*v + 90. Suppose -2*w - 8 = -0*w. Let t = w + v. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + -6. Let a be (10\/15)\/((-4)\/s). What is the derivative of 14*f**2 - 23*f**2 - 24*f**a + 6 + 9*f**2 wrt f?\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9099810?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m + m**2 + 0 + 0*m**2 - 10.\nAnswer: m**2 + 18*m - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 315713 and 16694.\nAnswer: 10734242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -4.6. Let h = -105.78 - -105.68. What is the closest to h in d, 1\/3, -3\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102300130221 (base 4) in base 15?\nAnswer: 671d73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from stmvsssttstpvvt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -86.9 - -44. Let h = n - -41.544. Let j = 1.9 + h. What is j rounded to two decimal places?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11909930003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736.456 kilograms to grams.\nAnswer: 736456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/33 and -76\/13653.\nAnswer: 150183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1690 - 1691. Which is the closest to s? (a) 4 (b) -2 (c) 2\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-4 - -4) + (-4 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w - 3. Let v be 3 - (-4 - (-4 + w)). Suppose -a = v*b - 24, 24 - 3 = 4*a + b. What is the nearest to 0.1 in -3\/8, a, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 q when three letters picked without replacement from wooqnjooqn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.897245 days to weeks.\nAnswer: 5.271035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (0 - -2 - -1)*185. Let d = -232 + w. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 7. Suppose 14 = 2*b - 4*d, -4*d = -7*d + 12. Let p be (0 - 0)\/(13 - b). Give q(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -4, 9, 2\/3, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 0*o + 2*o)*(7*o**3 - 17*o**3 - 2*o**3) as u*o**3 + p + m*o**2 + l*o + a*o**4 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0149 + -4.9851. Suppose 0 = 4*k - g - 24, -3*g + 3 = -2*k + 5*k. Which is the smallest value? (a) 0.3 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -254900 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 32. Let q be c(-16). Let s = q - -55. Let j = s + 20. Calculate the highest common divisor of 243 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 4*q. Let t be y(2). Let a be (2\/t)\/((-2)\/(-112)). Suppose -a = -3*c + c. Calculate the lowest common multiple of c and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s + 31. Let n be a(6). Suppose 43*c = 44*c - n. What is the closest to 0.1 in 2, -2\/7, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, d: 2, e: 1, b: 5, z: 7, q: 1}. Give prob of sequence zdz.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241 divided by -20.\nAnswer: -241\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 4*s - 5*s)*(0 - 1 - 1)*(-11 + 15 + 15).\nAnswer: -76*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + -2 + 4 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -33*r + 29*r, 2*q - r = 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let t = -6 - -17. Let f = t - 8. Which is the third smallest value? (a) -0.1 (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005128107 to 7 decimal places.\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -131240.64?\nAnswer: -656203.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 4. Suppose 0 = -331*i + 329*i + 10. Suppose 17*l + 9 = -d + 13*l, -24 = -i*d + 3*l. Give x(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*r = 1182 - 1214, 5*r + 40 = -2*q. Solve -d - 5*k + 34 = q, -14*k = 4*d - 19*k + 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 4*v - 19, 5*c - 4*c = -5*v + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 4:34 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r = -2*p - 6, -10 = 2*p - r. Calculate the lowest common multiple of 4 and (-40)\/20*86\/p.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650300 (base 7) in base 3?\nAnswer: 102201101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a6 (base 12) to base 3.\nAnswer: 2221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - sqrt(24) - sqrt(24))\/sqrt(12) + 1*(sqrt(4)\/sqrt(2) - sqrt(2) - sqrt(2)) + 2 + sqrt(8)\/sqrt(4)*3)*1.\nAnswer: 2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 2*v - 6. Let g(a) be the second derivative of -a**3\/6 + a**2\/2 + 8*a. Let u(p) = 6*g(p) + h(p). Find the second derivative of u(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/22 - 31\/(-11). Let i be 18\/r*1\/3. Solve -i = -l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 40*c - 38. Calculate the remainder when p(4) is divided by 43.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1642881 is divided by 948.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - c = 5*m + 15, 2*c - m = 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 4. Suppose s - 4 - 1 = 2*d, -4*s = 3*d - 9. What is i(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 11*k. Let y(h) = 2*h**2 - 2*h - 1. Let q(j) = 44*j**2 + 6*j + 1. Let t(a) = -q(a) - 3*y(a). Calculate t(s(o)).\nAnswer: -6050*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*f + 20*f = 32*f + 158. Let g = -9.08 - -0.08. Which is the smallest value? (a) 5 (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24\/7 + 86\/21. Let g be (7\/((-147)\/(-14)))\/((-2)\/3). Which is the second smallest value? (a) g (b) -2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 21 - (-101 + (23 - -20))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/(-440) - (-2077)\/(-11). Is 0.1 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - 815?\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2a404 (base 15) to base 16\nAnswer: -212e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 23. Suppose 0 = -5*g + 2*p + 54, -2*g = -x*g - 3*p - 15. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 3\/5 (c) -1738.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k + k)*(-3 + 5 - 3)*(-206 + 19 - 178)*(0 - 1 - 5).\nAnswer: -2190*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 - 51 = -2*f + n, -5*n = 3*f - 139. What is the smallest common multiple of 96 and f?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1643 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7409 and -0.5.\nAnswer: 3704.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38621659 is divided by 770.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.3 (b) -0.02 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kakawakwakakkk?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 0*o**3 + 16*o**3)*(-4*o + o**2 + 4*o).\nAnswer: 13*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 181 and 181 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 + 71*r - 324. Does 8 divide q(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y + 1. Let a(h) = -h + 17. Give -a(x) + 4*o(x).\nAnswer: -11*x - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -289, 0, -2 in decreasing order.\nAnswer: 0, -2, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 15) to base 8.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 54\/5 of a kilometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46825137, -93650273, -140475409, -187300545?\n\"Answer: -46825136*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*v**4\/11 - 16010*v**3\/11 - 136186*v**2\/11 + 146154*v\/11 + 540 = 0. Calculate v.\nAnswer: -9, -2\/51, 1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -6. Let x be (8\/(-12))\/(a\/(-15)). Let u = x - 6. Solve 5 + u = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 1011c?\nAnswer: -1011a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27 (b) -12 (c) -2 (d) -4 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -150304 times 149\nAnswer: -22395296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2862)\/4770*4*(-10)\/252. Which is the closest to n? (a) 3 (b) 17 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/53? (a) -0.4 (b) -5936 (c) 3\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37482 - -37482. Solve -g + 6 = w, -63*c - 5*g = -59*c - 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006714 (base 11) in base 10?\nAnswer: 1780409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 603, 609, 615, 621, 627, 633?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -190*f**3 - 154*f**2 - 97*f - 98. What is j(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32135570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, -250, 4, -812?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/5 - 1224378*g\/5 - 162806896\/5 = 0 for g.\nAnswer: -612056, -133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -231 divided by 7\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, 14, 37, 62, 89?\n\"Answer: z**2 + 18*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 48*c - 31. Let u = 25 - 15. Is k(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012374303 rounded to 5 decimal places?\nAnswer: 0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*i + 17, -4*i + 3*i = -2*r + 41. Calculate the highest common factor of 28 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 4:37 AM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -39270 (base 10) in base 2?\nAnswer: -1001100101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2624*y - 2826*y - 4099*y as r*y + p and give r.\nAnswer: -9549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2 + 4. Let c(f) = -6*f**2 - f - 4. Let k(p) = -5*c(p) - 4*z(p). What is the units digit of k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + m - m + (-3*m**2 + 3*m - 3*m)*(-4327 + 928*m + 4327).\nAnswer: -2785*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - z - 4 + 2 = 0, 0 = -2*p + 4*z - 2. Let t(h) = 4*h + 7 - p*h + 6*h - 4*h. Give t(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*l = -4, 2*u + 2*u - l - 9 = 0. Suppose 4*s - 5 - 66 = -a, 2*a - 162 = u*s. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -108287120 and 4.12.\nAnswer: -108287115.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/9*15\/(-70). Let u = 28 + -20. Which is bigger: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*p + 2*p - 11, 0 = -p - 2*k + 7. Let v be 3\/(-1)*p\/(-2). Which is smaller: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1913*b - 696. What is the ten thousands digit of w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oalxa. What is prob of sequence oxl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*n**3*o + 17*f**3*n*o - 7*f**3*o + 9*f**2*n**3 - 10*f*n*o + 18*n**3*o wrt f.\nAnswer: 6*n**3*o + 102*n*o - 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1771399*j**6 + j**2 + 3058*j + 94?\nAnswer: -212567880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1485295681 and -0.3.\nAnswer: 1485295680.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 smaller than 679\/135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -104, -68, 7 in ascending order.\nAnswer: -104, -68, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 14*z**2 + 16*z - 16. Let f(i) = -i**2 - i + 4. Let p(h) = -h**2 - h + 3. Let j(r) = -2*f(r) + 3*p(r). Calculate -48*j(y) - 3*x(y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -543*j - 14 - 5 + 6*j**4 + 541*j - 2*j**2 wrt j.\nAnswer: 72*j**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, 54, 123, 230, 381, 582, 839?\n\"Answer: i**3 + 10*i**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 154?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 39\/4 (c) 0.5 (d) 42 (e) -34\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 4*s**2 - 5*s - 14. Give h(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*v + 6 - 3 - 12*v - v**4 + 5*v**2 - 2*v**3 to the form i*v + x*v**2 + r + o*v**3 + g*v**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-7) - (-1445805)\/623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + (sqrt(65)\/sqrt(80) - sqrt(13))))**2 + 0.\nAnswer: 96*sqrt(13) + 373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -489*l**3 - 6*l**2 + 11*l - 12. Suppose -16 = o - 5*o. Let i be (-34)\/3 + o\/12. Let s be y(i). Round s to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -188, -230?\nAnswer: -272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -18915556.\nAnswer: 1\/1719596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222 (base 10) in base 5?\nAnswer: -14342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49595345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 336722.558 rounded to the nearest 10?\nAnswer: 336720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1496?\nAnswer: -5984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((10\/(-35))\/(12\/(-14))). Solve -2*r + r**k + 13*r**4 + 15*r**5 - r**2 + 8*r**3 - 22*r**5 - 12*r**2 = 0 for r.\nAnswer: -1, -1\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5 + 34*c**4 - 74*c**3 + 38*c**2.\nAnswer: 2*c**2*(c - 1)**2*(c + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24399 + 50097\/2. Let f = h - 625. What is the common denominator of f and -29\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-30 - (-2 + 2 + -11 + 8)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*x = 3*q + 769985, 1539997 = -2*q - x. Round q to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32191769 to the nearest integer?\nAnswer: 5674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-203)\/8729)\/((-2)\/6)*1.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*i = 4*i + 2, 4*x = 4*i - 8. Suppose -26000000 = -5*g - 4*k, 3*k = x*g - 2*k - 10400000. What is g rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 6*p + 2. Let f be j(0). Solve f*u - 5 = -15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13313.78 + -7699.47. Let v = m - 5589. Let q = v - 25. Round q to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 12:00 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -16, -3\/4, -32, -1423, 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:06 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Suppose -3*f + m = -1, f + 0*f - w*m = -18. Suppose 4*h**2 + 72*h - 66*h - h**f = 0. What is h?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4962962297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310900 = -c + 3*o, -3*o - 1554416 = -153*c + 148*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**5\/20 - 3*s**4\/4 - 11*s**3\/6 + 11*s**2\/2 - 120*s. Let f be h(10). Which is smaller: f or 21\/26?\nAnswer: 21\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 105\/315 + 46\/(-3). Let r(f) = 6*f + 34. Give r(y).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167896614?\nAnswer: 2, 3, 577, 48497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 75. Let r = 198 - 110. Let l = r + i. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 879450491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001501361 to 6 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 - -2. Let c = 2 + t. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9069 is divided by 487?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k**2 - k. Let c = -1062 - -1058. Let a(j) = 8*j**2 + j. Determine c*a(h) - 3*g(h).\nAnswer: -5*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 248.85 + -249. Let d = 1.005 + -8.005. Put 3, d, w in ascending order.\nAnswer: d, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96001703737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 110554?\nAnswer: 110554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 20. Calculate the highest common factor of 2 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001110101111 (base 2) in base 10?\nAnswer: -29615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1043182 or 5215911\/5?\nAnswer: 5215911\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = -4*n + 8, 0 = 4*t + 16. Suppose 3*w = w. Let l = w - n. Let z(s) = -5*s**2 - 2*s - 4. Let d(i) = 4*i**2 + 2*i + 3. Calculate l*z(a) - 4*d(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -4 - -1) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7252 in -0.2, -4, 3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -175, -102, 21, 194?\n\"Answer: 25*h**2 - 2*h - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -4, 71178, -2\/11, -5\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-15)*c)**(-2\/95)*c**(1\/20)\/(c*c**(-2\/39)*c) assuming c is positive.\nAnswer: c**(-23771\/14820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3296 is divided by 383.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 2*g**6\/15 + 2*g**5 + 8*g**4 + 44*g**3\/3 + 14*g**2 + g + 658. Factor v(s).\nAnswer: 4*(s + 1)**3*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*l + 29869 = 880*l - 1907 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/9*(4 - 1). Suppose -3*y + 56 = -a, g*y - 2*a - 44 = -8. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 23, 4 in decreasing order.\nAnswer: 23, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/13 (b) 8 (c) -3\/2 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*c + 109192 - 122622 = 0 for c.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36505?\nAnswer: 5, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 8. Calculate the remainder when 27 is divided by o(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - t - 14. Suppose -6*s - 90 = -3*s. Let u be (6*(-3)\/(-12))\/((-9)\/s). Let m be p(u). Is m != 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/60*-5)\/((-1)\/6*-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.618416 decades to centuries.\nAnswer: 0.7618416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210307 and 796331?\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(180) + 2 - (-1*sqrt(1620))\/sqrt(9))**2.\nAnswer: 168*sqrt(5) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*x - 230 = -69*x. What is the remainder when 274 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (76\/(-40) + 2)\/((-6)\/(-339)) and (107\/26)\/((-16)\/(32\/10))?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -327 + 365. Let p be 0 + -17 + (-1 - -1). Let u = p + g. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 15553*c**2 + 15120432*c + 3779136.\nAnswer: (c + 1944)**2*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-1 + -1 - -3) - (-61 + 109 - 3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 50*n**2 + 5336*n\/3.\nAnswer: n*(n + 58)*(n + 92)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/138*51\/(-153).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 - (60 - 79)) + -6 + (1 - 1)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3\/7 (c) -184\/11 (d) -2 (e) -1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 102*o**2 - 1517*o + 6120.\nAnswer: -(o - 85)*(o - 9)*(o - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 25788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 4:46 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5 = 3. Let b(l) = -d*l + 4 + 4*l - 5*l - 3*l + l**2. What is b(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 208 (b) -5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788740.5kg to tonnes.\nAnswer: 788.7405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 5816?\nAnswer: 5818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 3*s - 6. Let t(h) be the second derivative of -h**5\/20 - h**4\/3 - h**3\/6 - 4*h. Let n be t(-3). Calculate j(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -160, -239, -318, -397, -476?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 + 161 - 7*y + 2*y - 159 in the form o*y + w + i*y**3 + r*y**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 5*t + 3*t)*(-3*t - 3*t + 7*t) + 36*t**2 - 13*t**2 - 16*t**2 - t**2 - 5*t**2 + 4*t**2 + (2 - 2 - 2)*(-1 + 1 - 2*t**2).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - c - 1. Let h = 3 - -1. Let y(r) = -r**2 + 4*r - 3. Let u(o) = h*n(o) + y(o). Differentiate u(v) wrt v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 116834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 times 6.5331?\nAnswer: 483.4494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 945\/324 + (-2 - 1). Which is the nearest to -1? (a) f (b) -3\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1605, 12532, 42203, 99996, 195289?\nAnswer: 337460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 17. Let m be (-5 + 1)*(-2 - 1). Let h = m - 8. What is the remainder when i is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52461 by 1943.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11145 + 11241. What is the closest to -1\/4 in k, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - 2*b)*(-30*b**3 + 39 - 39).\nAnswer: 60*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**5 + 2*i**5 + 2*i**5 + (-8*i**4 + 8*i**4 - 6*i**5)*(1 + 0 - 3) + 4*i**5 - 10*i**5 + 13*i**5.\nAnswer: 17*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 9*o = -4698. Is o a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 + -0.01. Let z = -1.96 + g. Which is the nearest to 0.1? (a) 4\/5 (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 3\/52 (c) 0 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 + 2*y**3 - 5*y**3)*(-3*y - 5*y + 11 - 13).\nAnswer: -8*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78.5 + -74.5. What is the closest to -4.6 in -0.2, h, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 5*b - 7. What is r(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164965, 164991, 165017?\nAnswer: 165043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 79. Calculate the remainder when 3 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -630838, -632035, -633232, -634429, -635626, -636823?\n\"Answer: -1197*r - 629641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 5*d - 4*n, -2*d - n + 43 = -0*d. Suppose 0 = -3*o - 3, -3*u + 5*o = -611 + 78. What is the highest common factor of d and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/231 + 52\/77. Which is the nearest to y? (a) 0 (b) -1 (c) -2\/7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 5*o - 2. Let v be q(-5). Sort 4, 1\/8, -4\/5, v in descending order.\nAnswer: 4, 1\/8, -4\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97065?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + v + 9 = 0, -v + 1 = -1. Let x = s + -9. Suppose 3*p + u = -10, 4*u = -4*p + x*p. Which is the third biggest value? (a) -3\/5 (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u + 14*u + 9. Let j be 3\/(-9) - 363\/u. Suppose 0*h + j = h. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 996 is divided by 250?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -12, -3\/5, -4, -25, 0.12?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/16 in -2, 1, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.80228 and -4.\nAnswer: -3.19772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-26))\/1*(41 + -141)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6233, 6225, 6217?\nAnswer: 6209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + (-31)\/31?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70437, 69755, 68607, 66993, 64913, 62367?\nAnswer: 59355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-332)\/(-12) + ((-10)\/3)\/5. Let y = n + -21. Let r(u) = -4*u**2. Let v(z) = 0*z**2 + 0*z**2 - z**2. Determine y*r(t) - 22*v(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 388 = -408 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -156b76 (base 13) to base 7\nAnswer: -4332651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.13 + 0.13. Let a = b - -4.4. Let q = -1.1 - -0.1. What is the nearest to q in -1\/2, 4, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 160129 or -1?\nAnswer: 160129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 193 - 118. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.3 - -14. Let u = -10.3 - x. Let n = 9 + u. Put n, 1, -2\/7 in decreasing order.\nAnswer: 1, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/4 + (-5)\/(-20). Suppose 3*t - 4*t - 3 = -3*y, y + 4*t - v = 0. Let k = 0.1 + 0. Which is the second smallest value? (a) k (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -33*n + 38*n. Suppose 5*d - 25 = n*r - 6*r, d = 5. Factor 0 + r*b**4 - 1\/2*b**2 + 1\/4*b**5 - 3\/4*b**3 + 0*b.\nAnswer: b**2*(b - 2)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/15 (b) -0.1 (c) -6 (d) 0 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 20141?\nAnswer: 161128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l**2 + 13*l - 11. Suppose -5*c + 2*c = 15. Let x(m) = -3*m**2 - 9*m + 7. Let k(g) = c*i(g) - 8*x(g). Let n be -1*((-3)\/1 + -3). Give k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 4*p - 5. Let q be k(5). Which is the smallest value? (a) -0.4 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -2 + 20\/(-11). Let g = -0.2 - -0.2. Let q = 2288 + -2289. What is the nearest to g in 4\/5, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*2*2*sqrt(117))\/(sqrt(27)\/sqrt(12) + (sqrt(9) + sqrt(9) + sqrt(144))*-1).\nAnswer: 16*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 1. Let k(i) = -4*i + 15. What is k(j) - 6*l(j)?\nAnswer: 2*j + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 41*v - 331. What is the remainder when f(10) is divided by (0 - 3)\/((-12)\/56)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002638616591 rounded to five decimal places?\nAnswer: 0.00264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -507 divided by -39?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 21775?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7701074?\nAnswer: 2, 659, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-316*o - 200*o - 429*o + 2166*o)*(-2 + o**2 + 2) to the form j*o + a + l*o**3 + v*o**2 and give l.\nAnswer: 1221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 10*i + 1 - 5 + i. Let k(c) = -85*c - 50. Let j(r) = 2*k(r) - 25*p(r). Let t(o) = -2*o. Determine j(t(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 5*y**2 - 5*y - 2. Suppose -3*i + 45 = 5*g, 0*i - i - 25 = -5*g. Let d be s(g). What is the tens digit of (192\/(-10))\/(d\/(-20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/(v\/(v\/(v*v**10\/v)))*v)\/v*v*v*v\/v**(3\/5)*v*v*(v*v**(-4\/3)\/v*v)\/v*v**(-10\/3)\/v)**(1\/27))**(2\/131) assuming v is positive.\nAnswer: v**(-248\/53055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4321343 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 638400.1um to millimeters.\nAnswer: 638.4001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 25, -4*d - 5*w + 28 = -3*d. Let v = -4 + 10. What is the smallest value in d, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1907526 is divided by 183.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 4*l**2 - 5*l - 6. Let c be g(-5). Let u(d) = -d**2 - 5*d + 10. Let n be u(c). Solve 3*y - 2*s = -0*y - n, 0 = 4*s + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.766 - -1.766. Suppose -3*p = 2*r - 4*p - 8, -5*r - p = -20. Which is the closest to 0? (a) r (b) 2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/3936 and 119\/5412.\nAnswer: 43296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1*(2\/(-18) - (-120)\/(-135))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11)*2*-3 + 5).\nAnswer: -36*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8652 is divided by 4291.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from aaaqtnac.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*(sqrt(405) + 1*sqrt(405)).\nAnswer: -108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 377454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490191?\nAnswer: 853, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 4*t**2 + 5. Suppose -1637 = 2*i + k - 1682, 2*k = -3*i + 66. Calculate the remainder when i is divided by x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryhrymrr. What is prob of picking 1 h and 3 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 137043?\nAnswer: -137034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 68*k**2 - 11*k - 735. Calculate q(-68).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 3. Let x = 0.2 - 0. Let g be (-2)\/(-10)*(-150)\/40. What is the closest to t in g, -1\/3, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 2*z - 2*z + (-3 + 5 + 0)*(1 - 1 - 3*z) - 4 + 4 - z to u*z + t and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/6 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 129 - 21 = 0. Suppose -z = -30 + 26. What is the units digit of -220*6\/z*(-12)\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2440614 (base 8) to base 13.\nAnswer: -1a6c21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 1785?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**2 + 136*q**3 - 30*q**2 - 42*q**2 + 95*q**2.\nAnswer: 136*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6079\/3 + -2023. Let l(a) be the first derivative of 0*a**5 - 4\/3*a**3 + z*a**6 - 1 + 0*a**2 + 0*a + 0*a**4. Find the third derivative of l(n) wrt n.\nAnswer: 1200*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 152*x**2 + 2*x + 5. Let b be p(-5). Let z = b - -225. Let r = z - 44250\/11. Calculate the common denominator of r and 49\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 5. Let s be l(6). Let j(v) = 2*v**3 + 1 + 2*v**2 - 3*v**2 + 0 - 2*v + 5*v**2. Let n(u) = u**3 + u**2 - u. Calculate s*j(k) + 4*n(k).\nAnswer: 2*k**3 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/4473562?\nAnswer: -1\/4473562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 163946375 > 163946377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4503897*j = 4503888*j - 1062 for j.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 371681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60687482887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) + (-9 - 3330776\/1204). Let p = -2775 - z. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90937448489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -10110000?\nAnswer: -10111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayaaaaaa. What is prob of sequence aya?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 9:14 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) 0.2 (c) 0.0203 (d) 5 (e) 1 (f) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-286)\/(-65)*10\/4. Solve -u = 15*y + 49 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1289*f + 584*f + 522*f = -366 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024189391 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6 - 0)\/18)\/((-2)\/18). Solve -4*i + l*i = 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36828611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.72 - -5.62. Round d to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2188 = 4*u + z, 5*u + 0*z - 2735 = -3*z. Let g = -295 + u. Is 63 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125321960 is divided by 104.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvux when four letters picked without replacement from {u: 1, x: 1, l: 3, z: 5, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*c**2 - 19*c**2 - 12*c**2.\nAnswer: -139*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i*l*s*t**3 + i*l*t**3 - 57*i*l - 3*i*s*t**3 - 10*i*s*t**2 + 2*i*s*t + l wrt l.\nAnswer: i*s*t**3 + i*t**3 - 57*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 259 - 254. What is the nearest to b in 1\/5, -3\/7, -0.4, -0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 495*f + 491*f + 136 = 0, 0 = 3*f + 3 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1330635537 to the nearest integer?\nAnswer: 36478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 76419*h + 917034. Determine n(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = 4*g. Let o = -1 - g. Let l = o - -5. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 4*q**2 - q - 1. Let b be z(3). Let a(t) = 8*t**3 - 9*t**3 + t - 1 + 0*t. Let j be a(-2). What is the greatest common divisor of b and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 17*b - 11. Let n be w(-6). Let p = -267 - -90. Let r = n - p. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 46 = 5*n - 184, -2*n + 5*y = -64. Suppose -h - 2*h + n = 0. What is the highest common divisor of h and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydaa. What is prob of sequence aa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s, -65*t + 37 = -47*t - 4*s - 2*s + 181 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m - 27. Let z be l(-7). Suppose z*u = -0*u + 135. Which is the fourth biggest value? (a) 0.5 (b) u (c) 3\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8 - 20 = 0. Let n(h) = m*h - 2*h + h - 2*h. What is n(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7256258 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -33*g - 273. Calculate the lowest common multiple of u(-9) and 249.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3 + 320284*s**2 + 2562080*s + 5124032 = 0 for s.\nAnswer: -80063, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1363 = 6*h - 47395. Suppose -d = -3*l + 7688, -3*l - d + h = -6*d. Let a = l - 1561. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151554 is divided by 2224?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 - 42. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.057 - -56.357. Let i = x + -56. Sort 0, i, 14 in ascending order.\nAnswer: 0, i, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*g - 303*g + 20 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2819\/306 - -99\/17. Find the common denominator of 11\/20 and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6626989 + -19185132353\/2895. Let u = o - 2\/193. Factor 0 + 0*m**3 - 2\/15*m**4 + 2\/5*m**2 + u*m.\nAnswer: -2*m*(m - 2)*(m + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 152*z**2 + 288*z.\nAnswer: 4*z*(z - 36)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8236695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/12*-1 - 27\/36\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 5:32 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 6*o - 11. Give c(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - ((-6)\/51 - (-24844)\/5984). What is the third smallest value in 1\/2, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**5\/6 - l**3\/3 - 3*l**2 - 15. Let q(y) be the second derivative of x(y). Find the first derivative of q(b) wrt b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**4\/12 - 4*h**2. Let c(w) = -24*w**2. Give r(c(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 2 in descending order.\nAnswer: 7, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + r + 3, r = 2*k + 2*r + 9. Let y be 2\/k*(-6)\/5. Let b = 1 + -3. Is y less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from filduir. What is prob of picking 1 d and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -45 + 21 - 17*w + 4*w. What is the tens digit of p(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -28\/13, 0, -4, -0.063?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 398 and 2587.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -19*f + 44 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2702365?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from wwvccyysww?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9817?\nAnswer: 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6858723 minus 4495.19?\nAnswer: -6863218.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsjjjjsxsjs. What is prob of picking 3 s and 1 x?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 352 = 46*j. Calculate the lowest common multiple of 48 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 25280.744.\nAnswer: -1011.22976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5409475*a**3 + 9595*a**2 - 3*a - 7 wrt a.\nAnswer: 32456850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/7 - 25\/14. Which is the smallest value? (a) 1\/5 (b) t (c) 2.6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*l - 4910*l + 387596 = 0 for l.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1582*m + 2. Let l(j) = 1600*j - 2. Calculate -4*i(x) - 5*l(x).\nAnswer: -1672*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 880133\/364 or 2417?\nAnswer: 2417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + t = -14, -11 - 2 = 3*j - 4*t. Let g = -5.2 - -5. Let k = 0 + -0.1. Which is the smallest value? (a) k (b) g (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.6, -1\/5, 197, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*y, 2*g + y + 3*y - 94 = 0. Calculate the remainder when g is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 24568 = -g + 9*p, -3 = 3*p. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 + 1311\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 10:36 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 431.6 from -27.5.\nAnswer: -459.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5084 - -5093. Solve -j = -b - 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 7*k**3 + 2 - k - 16*k**3 + 7*k**3 to f*k**3 + b*k**2 + p*k + h and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13440*q**3 + 15505*q**2.\nAnswer: 80640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99901, -99895, -99863, -99799, -99697, -99551?\n\"Answer: q**3 + 7*q**2 - 22*q - 99887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4651432*h - 519679?\nAnswer: 4651432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 74 - 16\/3*v**3 - v**2 - 47*v. What is the derivative of k(x) wrt x?\nAnswer: -32*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04435921*0.02.\nAnswer: 0.0008871842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.6 - 12. Let w = z + 0.4. Is w at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 5 = 1260519*i - 1260521*i for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27107 + 2520?\nAnswer: -24367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 13*u - 21 = 0. Suppose 3*p = -t + 15, -3*p + 15 = u*t + 2*t. What is the least common multiple of 454 and p?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 497\/49)\/(-9 + 732\/84)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 86608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 - 271 = -4*h. Calculate the remainder when 117 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47915*s - 14678*s - 256364 + 256364)*(-s + s - 3*s**3) in the form u + l*s**2 + z*s + j*s**3 + k*s**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c - c - p + 3, -2*c = -2*p - 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 104 = -3*l + 130, 4*l = -8. Calculate the lowest common multiple of (72\/30)\/(m\/(-180)) and (30\/7)\/((-3)\/(-42)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + sqrt(720)*-3 + 6*(sqrt(720) + 3) + 1 + 0)**2.\nAnswer: 9936*sqrt(5) + 42054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -6, -2, -143, 0, -7 in increasing order.\nAnswer: -143, -7, -6, -2, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*i = 151*i - 429. Let n(s) = 15*s**2 - 3*s + 26. Let v(g) = -7*g**2 + g - 12. Let d(x) = i*v(x) + 6*n(x). Calculate d(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 109*u**5\/120 - 131*u**3\/3 + 65. Let h(d) be the third derivative of i(d). Let y(g) = -2*g. Give h(y(p)).\nAnswer: -218*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 13. Let g be (t\/6)\/(-1*5\/(-2205)). Suppose 0 = 5*o - g - 226. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/132 and 3\/110?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 7*i**2 - 2*i - 5. Calculate d(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*t**4 + 7588*t**3 - 2*t**2 - 14990772*t - 2.\nAnswer: -1200*t + 45528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 58122?\nAnswer: 58119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 6*n**2 + 6*n + 12. Let g(y) = -y**2 + 1. Let m(b) = a(b) - 3*g(b). Is m(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15 = -165. Let u = -11 - -17. Calculate the greatest common factor of o and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 94 = -v, -4*v = -9*v + 5*w + 520. Calculate the remainder when v is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 9*a + 6. Let i be m(4). Let y(j) = -j - j + i*j - j**2. Let r(z) = -7*z. Calculate r(y(s)).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8348 is divided by 171?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/16)\/1)\/(2\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Let g = 0.2976 - -0.0024. Which is the nearest to q? (a) -2 (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -4. Suppose -b = -0*b + q, 3*t + 26 = -4*b. What are the prime factors of t\/7 - 102\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -151*d**3 + 5*d**2 + 9*d + 11. Let j(z) = -75*z**3 + 3*z**2 + 5*z + 6. Calculate -3*c(p) + 5*j(p).\nAnswer: 78*p**3 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n + 5*n. Solve -6*y + 14 - 2 = n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 3*o**2 + o - 4. Suppose -j = -4*f + 4, 3*f = -j - j - 8. What is the remainder when d(j) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 g when three letters picked without replacement from {g: 2, q: 2, z: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509805 (base 10) in base 6?\nAnswer: 52205501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1509 divided by -5?\nAnswer: 1509\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x - 1. Let o = 32 - -176. Let z = o + -206. What is b(z)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14896, -21247, -27598?\nAnswer: -33949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q - 48. Suppose 3*t + q = 11*t. Solve 4*g - 2*m - 2 = t*m, -2*m = -4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -7.6. Let p = -0.3 + g. Which is bigger: 3 or p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 28*p - 208. What is the remainder when p is divided by (-8)\/(-10)*1*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*h + 93 - 249. Put 10, -22, h in ascending order.\nAnswer: -22, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * 11.5\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 71\/5, 0.1, 1, -1\/40, 1\/2 in increasing order.\nAnswer: -1\/40, 0.1, 1\/2, 1, 71\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -70*i + 458. Calculate the remainder when n(6) is divided by 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1 - (-17 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c + 3. Give h(-9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 437 = -5201. Suppose l = -w + 7*w. List the prime factors of w.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 371811*i**4 + 15*i + 9516574 wrt i?\nAnswer: 1487244*i**3 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 37 + 77)*(3 - 3 - w) + 0 - 3*w + 0.\nAnswer: -150*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1505005 + -3.\nAnswer: -1505008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 1\/5*i**5 + 1\/2*i**4 + 0*i**2 + 1\/3*i**3 + 0*i - 5. Suppose w(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1104 (base 7) to base 14\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s - 30. Suppose 0*c = 5*c + 15. Let y be v(c). Let k = 88\/195 - 2\/39. Put k, 0.5, y in decreasing order.\nAnswer: y, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0. Let m(p) = 22*p - 110. Let n be m(10). Let z = n - 109. Which is the closest to z? (a) l (b) 1\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-90)\/(-135))\/((-2)\/(-1242)). Calculate the highest common factor of 54 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (3\/(-4))\/((-1)\/8) and (26 - (-2)\/(-4)*-2)*166\/249?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.1, 4748, -0.3, 5, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-4 + 1 + 2)*(6*q**4 + 4*q**3 - 4*q**3) - 3 - 3*q**4 + 3.\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 197 = -507. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3\/3 + 137*k**2\/3 + 271*k\/3 + 45 = 0.\nAnswer: -135, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*n + 28 - 44, 0 = 3*a - 6. Let z = 29 + -25. Solve -5*f = -4*d + 1, -z*f + n = -9*f - d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - n = -3, 2*b + 5*n = 5*b - 2. Let l = -4.38 + -36.62. Is l equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 z when three letters picked without replacement from {z: 11, u: 2}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*f + 8, 4*l - 6*f = -f + 18. Put l, -5, 1 in decreasing order.\nAnswer: l, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64 - -61 - (-1 + -5)) + 1 + 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.615 + 0.668. What is the nearest to -1 in 4, 3, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8704 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/9*j**2 - 2\/9*j = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -10, 2, 5 in descending order.\nAnswer: 5, 2, 0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11617 + -3?\nAnswer: -11621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 517 and 777.\nAnswer: 401709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -170763*w**3 + 3*w**2 + 1029639 with respect to w.\nAnswer: -512289*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 484\/12 - 2\/6. Suppose 4*a - b = -4. Calculate the highest common factor of 63 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.3 - -6.3. Sort -0.4, -2, u, -3\/35.\nAnswer: -2, -0.4, -3\/35, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -3, -33, 19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3*m**3*w - 14*i**3*m**3 + 1184*i**2*m**3 + 23*i*w + 454*m**3*w wrt w.\nAnswer: -i**3*m**3 + 23*i + 454*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 14*w + 11. Let f be x(-4). Let n = -43 - f. Differentiate 12*q + 7*q + n*q - 4 - 4*q with respect to q.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 - h**2 - 4 - 3*h**2 + 5 - h**2.\nAnswer: 3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**0*a*a))**(3\/28)*(a**(2\/7)*a)\/a**(-2\/9))**(-31) assuming a is positive.\nAnswer: a**(-10943\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -1. Suppose -5*k = -g*k. Let j be (k - -2)\/(36\/(-6)). Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15893, 31779, 47675, 63587, 79521, 95483, 111479, 127515?\nAnswer: 143597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -544 (base 6) to base 10\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.4816 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 2) to base 15.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -44. Suppose -4*q = 4*l - 8, 0*l - l + s*q = -2. Is ((-2 + 3)\/l)\/(11\/88) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1662888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8 - -17) + (0 - 5) - -1) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, z: 3}. What is prob of sequence zzzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-16)*z*z**28*(((z\/z**(-13\/6))\/z)\/z)\/z**(2\/99) assuming z is positive.\nAnswer: z**(2801\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**7\/(f*f**(-1)*f)*(f**(2\/5))**(-5\/2) assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 4*a - w + 349, -2*a + 3*w = 209. Which is smaller: a or -219\/2?\nAnswer: -219\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72794*d = -72797*d + 2*t + 7 + 1, -5 = -2*d + t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 3:20 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 341 + -52. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.27718 plus 16?\nAnswer: 12.72282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**3\/3 - 10*h**2 + 2*h - 102. Calculate w(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-2*5 - sqrt(121))*6)\/(sqrt(704) + 5*(sqrt(704)*-5 + sqrt(704) + sqrt(704)) - sqrt(704) - sqrt(704)).\nAnswer: 33*sqrt(11)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -4. Let i = k - 18.6. Let p = 21 + i. Round p to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 32*a - 2. Let t(w) = -4965*w - 80. What is -120*j(g) + 3*t(g)?\nAnswer: -18735*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 32*l**2 + 10*l - 20. Let p(s) = -7*s**2 + 10*s + 2. Let w be p(3). Is k(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 6*l - 462 = -47*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, i: 4, w: 1, o: 1, l: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -11637895?\nAnswer: 4\/11637895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*h**2*l**3*r**2 + 2*b**2 - b*h**2*r**2 - 2*b*h*r**3 + 2*b*h*r - 526*b*l**2*r - 1885*l**3*r**3 wrt l.\nAnswer: -6*b**2*h**2*r**2 - 11310*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -204638.\nAnswer: 40927.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*p**2 + 8 + 22 + 2 wrt p?\nAnswer: -40*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 + 18*l - 13. Let f(r) = 2*r**2 + 9*r - 7. Let k(t) = 3*a(t) - 5*f(t). Let q be k(7). Solve q = 2*o - 0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3693275 divided by 738655\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 24*b + 54 = 0. Solve b*t + 5 = -7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/4)\/((-9)\/(-24)). Suppose 50 = 8*k - 3*k. Let y = f - k. Solve -y*i + z = -11, -5*i = -2*i + 4*z - 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -19*j**3 - j**2 - j - 3. Let x(g) = 58*g**3 + 4*g**2 + 4*g + 10. Let y(p) = -7*r(p) - 2*x(p). Calculate y(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*l - 11*l + 10150. Is 29 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -0.4 (c) -1\/4 (d) 232\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoz when three letters picked without replacement from zpzozzoo?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0 (c) 1\/2 (d) 925\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*o**5 + 2152*o**4 - 16332*o**3 + 10952*o**2 + 3264*o = 0. Calculate o.\nAnswer: -2\/9, 0, 1, 8, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -89*i**2. Let w(s) = s**2. What is j(w(a))?\nAnswer: -89*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -107?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 185*f - 4699 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**2*h + 342*g**2 + 3273*g*h wrt g?\nAnswer: 8*h + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -24. Solve -a - d = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imw when three letters picked without replacement from {i: 1, w: 2, s: 1, m: 1, p: 5}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 - 16\/((-16)\/(-423)). Is i bigger than -432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20216, 2, -5\/2?\nAnswer: 20216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-576)\/(-480)*(28\/6 - 3). Let h be (-2)\/4 + (-33)\/(-2). What is the third derivative of 1 + h*o**t + 10*o**3 + 5*o**2 - 1 wrt o?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6883 less than or equal to -6869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 17*h - 120. Calculate the lowest common multiple of h and 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1112, -605, -98, 409, 916?\nAnswer: 1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5 + 2*a**4 - 64279*a**3 - 2187753*a**2 - 3?\nAnswer: 120*a**2 + 48*a - 385674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1262707, -1262706, -1262705, -1262704, -1262703, -1262702?\n\"Answer: s - 1262708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 661 + -57?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 e when three letters picked without replacement from {e: 2, n: 3, m: 10, l: 1, u: 1, o: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 168*d. Let h be f(1). Calculate the greatest common divisor of 21 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 17*r**2 + 24*r - 8. Let f be a(16). Suppose -3*z - 3*x = -159, 2*z - 3*x - 2*x - f = 0. What is the remainder when z is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7713 (base 8) to base 11.\nAnswer: 3046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -79100 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**5 - b**4. Suppose 22 - 20 = 2*k. Let n(g) = -5*g**4 - 5*g**3. Let r(v) = k*w(v) + n(v). Suppose r(d) = 0. Calculate d.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7135271 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6*3\/(-12) + -1)\/((-351)\/54). What is the third smallest value in 0.3, z, 0.2, -3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4) + 2)*-1.\nAnswer: -2*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15474 + 0.15474. Are 13.38 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*n - 410984 - 470552. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 < 446.544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 9\/4, 4, 3, 112\/39, -2\/7 in ascending order.\nAnswer: -0.3, -2\/7, 9\/4, 112\/39, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 612871347729?\nAnswer: 612871347728.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38.90756 + -0.09244. Which is smaller: g or -3.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**5\/20 + 4*h**4\/3 + 8*h**3\/3 + 25*h**2\/2 - 8*h + 6. What is the units digit of w(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htthtththhttttthtth. Give prob of sequence thh.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 571, 1158, 1745, 2332, 2919, 3506?\nAnswer: 4093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6) - 55\/70\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*-3*(-4)\/20. Suppose v + c = -u*v + 196, 3*v = 5*c + 124. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58 - 14) + -64 + 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 30767*b - 2 + 30856*b.\nAnswer: 89*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-15))\/4*16\/(-16)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -541\/1465 + -9\/293. Let i = 23 + -22.5. What is the second smallest value in s, 0, 1, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 15) to base 8.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 437 - i**3 - 107*i**2 + 220*i**2 - 113*i**2 as l*i + b*i**3 + g*i**2 + a and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9433 - 23.9433. Which is the closest to x? (a) -0.1 (b) 0 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - n - 21 - 23, -2*n = 4*h - 146. Let b = 43 - h. Suppose b*j = -0*c - c + 32, 3*j + c = 23. Calculate the highest common factor of 6 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171342 and 72117?\nAnswer: 457654482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h + 37*h + 339 = -2*j, 4*h + 4*j - 1296 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 47, -3, -5, 557, 1 in descending order.\nAnswer: 557, 47, 4, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5*(-11)\/363*-55?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2 - (-2 - -1 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 x, and 1 b when three letters picked without replacement from {w: 4, x: 2, b: 2, t: 2, s: 6, m: 1}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209326797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 4*s + 2*s + (3 - 4 - 1)*(s - 2*s + 3*s) + 2*s + 2*s - 6*s)*(-4*s**2 - 2*s**2 + 0*s**2).\nAnswer: 42*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (67 + 8 - 68)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -693*l**5\/10 + 197*l**3\/6 + 11*l - 14. Find the second derivative of z(i) wrt i.\nAnswer: -8316*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2699075 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47 and 33.\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -385.8 - -349. What is z rounded to 0 decimal places?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 175749428?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 47*d - 120. Determine q(9).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8184 or -8276?\nAnswer: -8276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/20 - 2*i**4\/3 - 3*i**3\/2 + 5*i**2\/2 - 150*i. Calculate h(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 821 + -822. Let k be 6\/((-30)\/(-25)) + o*2. Suppose 4*h = 3 + 5. Solve 5*p + 5*s - k*s = -h, 5*p - s = -14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/11*(-18)\/27\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16524923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -847 at least -1170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1493 + 10324. Let a = o - 3084. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860 (base 9) to base 15.\nAnswer: 31c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 16 = -11. Calculate the remainder when 34 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 27412.\nAnswer: 4\/6853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*s = 133471448, 4*q - 106777156 = 3*s - 0*s. Suppose 2*g + q = -2*g. Let u = 13326427 - g. Round u to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + 5 - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*d = -13, 4*r - 14*d = -13*d + 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*l - 7*l = -5, 2*j - 4*l - 2 = 0. Solve -2*z - j = -3*c - 2, c = -3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 7. Let t be (0\/((-16)\/4))\/(-1). Suppose -y + 2*y - n = t. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-68)\/(-238) - -12*(-3)\/(-21). Solve 5*h + 21 = -3*u, u + 1 = h + m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -1878*n**3 + 7521*n**2 + 2*n - 23. Determine q(4).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1881 and 945725?\nAnswer: 8511525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - 7*s**2 - 24*s - 4. Let n be a(-4). Suppose -z + 2*i + 64 = 0, z - i - 58 = -2*i. What is the highest common factor of z and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49677628 and 11290370.\nAnswer: 248388140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*t + 7856 + 10642, -9226 = -2*t + 11*c. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 444, 887, 1328, 1767, 2204, 2639?\n\"Answer: -t**2 + 446*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -57ba (base 13) in base 8?\nAnswer: -30041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a hour in seconds?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10002202 - 1?\nAnswer: 10002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -4*f + 20, 25988*f - 25947*f + 4*b - 180 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**3*w**3 - 87*s**3*w**2 + 23*s**3 + 2*s**2*w**2 - 3768*s*w**3 wrt s.\nAnswer: -12*w**3 - 522*w**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078416200.\nAnswer: 2, 5, 5392081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v*v**(4\/9)*v)\/v*v)*v**0*(v**32*v)\/(v\/v**(-3\/8)))**(-2\/93) assuming v is positive.\nAnswer: v**(-2101\/3348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13953173.934154 minus 1?\nAnswer: -13953174.934154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*l**4 - l**2 + 3*l**3 - 51*l**4 - 3*l**3 - 16 in the form d*l + h*l**2 + o + j*l**4 + i*l**3 and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1303733 - 3*p + 1303733 - 3*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u. Suppose 4*v + u*q - 5*q = 29, 3 = -3*q. Let y(p) = 8*p + 5. What is the units digit of y(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40595*w**2 + 4*w**3 - 5 + 5 - 3*w**3 + 40618*w**2.\nAnswer: w**3 + 23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10362*j = 10367*j - 20. Let b = -1 - -4. Sort j, -8, -3, b in increasing order.\nAnswer: -8, -3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t**3 - 2*t**2 + 1. Let a = 27 - 1. Suppose -4 = i - a. Calculate the remainder when i is divided by r(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46b + 3?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**3)**21\/(z**(5\/8))**41)**20 assuming z is positive.\nAnswer: z**(2335\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-498)\/8 - (-9)\/(-12). List the prime factors of o\/(-7) - 10 - (-1 - 261).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 19*i**3 - 19*i + 69. Does 3 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/7)*h)\/h)\/h**(-3\/8))**(-1\/41)\/((h**(-1))**(3\/19)*(h\/(h**(-2\/5)*h))**36) assuming h is positive.\nAnswer: h**(-3107723\/218120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*l - 43, 5*l - 705 = -740. Solve -8*p = 56 - j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2145755*c**3 - 270331*c**2 - 3*c?\nAnswer: -12874530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*a**6*m**2 - 111400*a**3 - 874*a**2*m**2 - 3844*a*m wrt a.\nAnswer: -7320*a**3*m**2 - 668400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*p**5 - 2*p**3 + 1304*p**2 - 15055886*p?\nAnswer: -1880*p**3 - 12*p + 2608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9272 and -36.\nAnswer: 333792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y - 17. Let b be q(-9). Round b to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**2 + 35. Let l(g) = -g**3 - 17*g**2 + 70. Let k(i) = -7*f(i) + 3*l(i). What is the first derivative of k(z) wrt z?\nAnswer: -9*z**2 + 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 n when four letters picked without replacement from {n: 3, w: 2, b: 1, r: 1, s: 2, l: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 703419*m*u**2 - 1436*u**2 - u + 20 wrt m.\nAnswer: 703419*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/8 - 21*i\/8 - 3 = 0. Calculate i.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33091, 66459, 99827, 133195?\nAnswer: 166563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*r - 299 = 0, k - 279 = -0*k - r. What are the prime factors of k?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.054 - -0.046. Is z less than or equal to 6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4036, -4280, -4680, -5230, -5924, -6756?\n\"Answer: z**3 - 84*z**2 + z - 3954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*l + l + 5258 = 0, -q = l - 1318. Calculate the remainder when q is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23211131 (base 4) to base 6.\nAnswer: -1003405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3 - 69*p**2 + p + 69 = 0?\nAnswer: -69, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 736388*h**2 - 5*h + 2. Let s be y(-6). Suppose 5*r + s = -6*r. What is r rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1566 and 86436?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cri. Give prob of sequence ir.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -210 + 210.8. Which is greater: 7 or v?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**3\/4 + 17*y**2\/4 - 8*y - 7 = 0?\nAnswer: -7, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from qzsszsshnxsszqzq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -929 + 1169. What is the remainder when l is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 8. Let t be w(-6). Let q = 11 - t. Let y be (-5 - q) + (14 - 2). Calculate the highest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-64)*-8*4. Solve -3*w = u + h, 3*w + 13*u - 16*u = -24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -156 + 155.8. Let a = 8 + -16. Let i = a - -5. Sort d, 3, i, -1 in increasing order.\nAnswer: i, -1, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-56) + 25\/(-70))*-64. Solve -3*d - a = 4*l, -2*d - 35 = 3*d + 3*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 1, 3*o - 2*j - 23 = -3. Let k = -3 - -7. Suppose 5*u = 5*n - 21 - 9, 8 = 2*n - k*u. Calculate the lowest common multiple of n and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9))**42\/(q**(22\/5)\/(q*q*q**(-11))) assuming q is positive.\nAnswer: q**(-1957\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -164 <= -161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 8, 1\/4, 2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27373 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3 + 5*w - 4*w + 1 + 2*w - 1 + (3 - 3 + w)*(-6 - 1 + 2) - 17 - w + 8 + 12.\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 0.2 (b) -0.032 (c) -5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5412 - 120*q - 1795 - 1008 + 1216 with respect to q.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/17)*c*c*c**(-1\/5))**15)**(21\/5) assuming c is positive.\nAnswer: c**(15624\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 662494, 662493, 662492, 662491, 662490?\nAnswer: 662489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 11:13 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 8*c**2 + 14*c + 13. Determine b(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4*x = 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 1081*t - 48995. Determine c(-50).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3535510*u**3 + 12*u - 379847377 wrt u.\nAnswer: 10606530*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/9)\/(1\/(-3)). Let f be (-2)\/10 - (-182)\/v. Let z be (-2)\/10*15\/f. Which is the third biggest value? (a) 1 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8189689?\nAnswer: 383, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 514.\nAnswer: -102.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*a, -3*a + 5*a = -l. Suppose -5*v - 3*w + 8*w - 55 = l, 4*w - 20 = 0. Let d be v\/3 - -3 - -7. Solve i = 2*j + 3*i, -i = -j + d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + -3 + (-131)\/(-1*2\/10). What is the highest common factor of 72 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -535, 1, -33, -60 in descending order.\nAnswer: 1, -33, -60, -535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*z = 170*z + 20. Solve 10 = -2*x, 4*j + 0*x + 2 = z*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -192, -64, 156, 468, 872?\n\"Answer: 46*i**2 - 10*i - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i**(-4\/9)\/i)\/i*i)\/i*i**1*(i**(-3)*i)**(-2\/7))**(-6\/23) assuming i is positive.\nAnswer: i**(-142\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -28. Sort -7, x, 2 in decreasing order.\nAnswer: x, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-174)\/(-15)*(-5)\/(-2). Let w = u + 70. What is the highest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312321 is divided by 96.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3598 = 826. What are the prime factors of q?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 33679667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h - 9*g - 616 = 8*g - 34*g, -4*h - 2*g = -36 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -21. Let s be (-9)\/3 - (-234)\/k. Suppose 4*r - 93 = s. What is the greatest common factor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**2 + 7470*t - 466833 = 0.\nAnswer: -2551, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2704 by 4.\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -845, -3359, -7541, -13391, -20909?\n\"Answer: -834*k**2 - 12*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/2 - -4)\/(1\/2). Solve -m + 1 - y = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000035739 rounded to 7 dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-4))\/((-3)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 22. Let n = -6 - -13. Calculate the smallest common multiple of t and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*q**3 + 47*q**3 - 107*q**3 + (2*q + 1 - 1)*(q + 2*q**2 - q).\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 843.74892us to weeks.\nAnswer: 0.0000000013950875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**5\/10 - j**4\/24 + j**3\/6 + 13*j**2. What is the tens digit of f(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 45 = -272. Find the second derivative of -w + 11*c + 17*c - 38*c**5 - 223 + 451 wrt c.\nAnswer: -760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/1*2)\/2. Let n be (-90)\/(-24) + i\/(-8). Suppose -5*p + 17 = n*f, -p + 5*p + 8 = 3*f. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -316, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 467927579.00000005 - 467927594. Let l = a + 15. Round l to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 q when three letters picked without replacement from rhrxrhxqxxhrrxxqrqr.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10504, -21184, -32068, -43258, -54856, -66964?\n\"Answer: -17*y**3 - 10561*y + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/16 - 1595\/40. Is -45 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000 - 0?\nAnswer: -1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -83, -119, -169, -233, -311?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 2*l + 0*l. Let o be s(5). Let z be (0 - 1) + (-14)\/(-16). What is the nearest to 1 in o, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (424\/(-40))\/(4\/(-80)*12).\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26792, -26910, -27110, -27392, -27756, -28202?\nAnswer: -28730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2177 - -8765\/4. Calculate the common denominator of 149\/10 - 6*(-35)\/(-42) and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -4 + 11 - (4 - -1 - 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**3 - 2*n**2 + 4*n - 1. Let m(l) = 9*l**3 - 3*l**2 + 7*l - 2. Let b(d) = 5*i(d) - 3*m(d). Determine b(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 27396217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 5*y**2 + y**3 + 5*y**2 + y + 3*y.\nAnswer: y*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 6 + t - t + (-3*t + 3*t + 3*t)*(-2 - 1 + 4))*(-t**3 - t**2 + t**2).\nAnswer: -2*t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2717.7 - 2717.8. What is the third biggest value in u, -1, 2\/23, -0.4, -5\/13?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.9, 4\/835, 4, 6, 0.5 in decreasing order.\nAnswer: 6, 4, 0.5, 4\/835, -4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 + 8*k - k - 8*k**2. Let m(x) = -x**2. Let b(h) = -l(h) + 4*m(h). What is the second derivative of b(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 8110*d - 8107*d - 12, -4*t = -4*d + 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310244898 to the power of 1\/2, to the nearest integer?\nAnswer: 36197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*138\/4945*(-8)\/432*-6?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25194860 a multiple of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 33*p + 189. Let x be y(38). Is (-1)\/x + -26 + 18162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173 - 110. Calculate the highest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12349.\nAnswer: 53, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 880408 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/4*((-70)\/140)\/((-1)\/6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3. Let m = 4 + 1. Let l(s) = m - 2 - 4. Suppose 5*f + 2 = -2*u + 5, 4*u - 2*f = -6. Give u*g(n) + 2*l(n).\nAnswer: -n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 2*m - m + 3*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from tbst?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 66220000 rounded to the nearest one million?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 63919.13 micrometers?\nAnswer: 0.06391913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 1 + 1)*(-3 - 3 - 1)*(-2*g - g + 5*g) - 4*g**2 + 3*g**2 - 3*g**2 + (0 - 1 - 1)*(-g**2 + 0*g**2 + 3*g**2) - 2*g**2 + 0*g + 0*g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (10 + 11)) + -6 - -11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5935343 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2718\/42129)\/((-4)\/(-62)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25861 (base 9) to base 4\nAnswer: -10100332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 296*h**2 - 218*h + 22. Let o(v) = -74*v**2 + 54*v - 6. Let y(t) = -6*m(t) - 22*o(t). Find the second derivative of y(u) wrt u.\nAnswer: -296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-14\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 360402.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7430\/383 - -1\/1915. Put c, 2\/9, -0.1 in descending order.\nAnswer: c, 2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m + 23. Let b be y(3). Suppose b*u + 242 = -5*c + 1518, 0 = -2*c - 2*u + 508. Calculate the highest common divisor of 16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8896 + 53396 = -890*y for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 17 = -2*y - 3*n, 0 = 3*y + n - 9. Suppose 24 = -5*q + 9*q. Suppose 3*v = -q*v + 4*v. Solve s - 4 = -2*u + 2, -3*s - y*u - 2 = v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14450*v**3 - 16062*v**3 - 33563*v**3.\nAnswer: -35175*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 6:18 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 5*m - 6. Let t(i) = i**2 + 3*i - 3. Let u(j) = 6*o(j) - 10*t(j). What is the lowest common multiple of u(-4) and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1120342 - 40?\nAnswer: 1120302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -1412*m**3\/3 - 3*m**2 + 7822*m - 11957. Find the first derivative of z(k) wrt k.\nAnswer: -2824*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -104?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6367 * -1.49.\nAnswer: -0.948683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, 37, 93, 181, 307, 477?\n\"Answer: y**3 + 7*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**6\/60 + 3*d**5\/5 + 59*d**4\/12 - 26*d**3 + 169*d**2\/4 - 64*d - 10. Let b(t) be the first derivative of q(t). Factor b(m).\nAnswer: (m - 1)**2*(m + 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = 4*v + 72, -5750 = 2*v + 2*w - 5766 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26389 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpjp when four letters picked without replacement from plzlpoj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 7*s - 70. Suppose -3*t + s = 4*v, -4*v + 2*v = -4. Suppose -4*z + d + d + 20 = 0, 0 = d + t. Solve -z*f - 5 = -9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312 and 240?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 2905, 7, -6, 4 in increasing order.\nAnswer: -6, 0, 1, 4, 7, 2905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/16 (b) 22\/3 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - -1.97. Let z be 0 - (-1)\/((-2)\/2). Which is the nearest to z? (a) -5 (b) 1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(sqrt(75)*2 - sqrt(75)) + 5*(0 + sqrt(75)) + 5*(sqrt(300) + -1*sqrt(300) + sqrt(3)*-1*4))**2*3.\nAnswer: 240*sqrt(3) + 948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 58.8 and 1896 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**4\/24 - o**3 - 2*o**2. Let u be y(-6). Suppose u = 4*q - 2 - 6. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-1)\/(-2) + 2 + -3. Which is the closest to y? (a) -0.9 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 264192*d + 8724676608.\nAnswer: 2*(d + 66048)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4 = u, 4*u - 391 + 349 = -5*w. Let h(v) = v**3 - 3*v**2 - 3*v. Let a be h(4). Solve -5*g + c = a - 0, 8 = 3*g + w*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 6, -51, -5.\nAnswer: -51, -5, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 2. Suppose c*o = 5*o. Suppose -13*n + 125 = -8*n. Solve 4*i = 4*w + 32, o*w = 5*i - 2*w - n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b - 9*b - 9207 - 8*b - 15359 + 22*b.\nAnswer: -b - 24566","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-2582984.\nAnswer: 5165968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a - 9. Let k be b(7). Suppose -k*v + 61 = -4. Let q = v - 8. What is the smallest common multiple of 3 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215608668 a multiple of 1804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 36238*a - 2*a**2 + 0*a**2 - 31958*a.\nAnswer: -a**2 - 68196*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -13*s - 73. Let b be (-13 - (13 - 23)) + -3 + 0. What is the remainder when 204 is divided by w(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -0.4 (b) 3 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 58260\/25 - 158\/395. Solve -2322*y = -c*y + 16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 4 + 0*t**2 - t**3 + 7*t**2 - 2 + 11*t. Let r(s) = s**3 + 5*s**2 - 7*s - 3. Calculate the remainder when w(8) is divided by r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29\/8 + 39\/104. Sort -1, -2, v in descending order.\nAnswer: v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -214 + -39?\nAnswer: -24d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740813779 to the power of 1\/2, to the nearest integer?\nAnswer: 41723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4357 + 2179 + 2178 - 4626*z**2.\nAnswer: -4626*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**5\/5 + 10*y**3\/3 + 7. What is the third derivative of n(l) wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.5, 3, 1\/151, -1, 0.4, -1\/4 in decreasing order.\nAnswer: 3, 0.4, 1\/151, -1\/4, -1, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*w - 12. Find the common denominator of 245\/(-154) + (4 - 1) and (-1)\/1 + w\/(-18).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-15) + 14909\/(-2805) - -5. Sort -3, 0.1, h in descending order.\nAnswer: 0.1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 433970?\nAnswer: 33\/433970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -308, -581, -968, -1475, -2108, -2873?\nAnswer: -3776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (sqrt(605) - ((sqrt(605) - (1 + sqrt(605)) - sqrt(605))**2 + -3))*2).\nAnswer: -2408 - 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 14 = -6. Let k be 26 - 1 - (9 + -12). Let f be 36\/(-56) + 4\/k. What is the nearest to f in i, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4635 + 2?\nAnswer: -4633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w - 1. Let f be b(-1). Let q(r) = 9 - 13*r**2 - f - 3. Let x(h) = -2*h. Determine q(x(a)).\nAnswer: -52*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138*a + 402*a**2 - 405*a**2 - 211*a + 4 + 6549*a**5 wrt a?\nAnswer: 392940*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 163406840 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 6*q - 66 = 0. Let n(r) = -r + 7. Let x(g) = -g + 15. Give q*x(y) - 13*n(y).\nAnswer: 7*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/1149 and 77\/4.\nAnswer: 4596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 166*p**2 - 20*p - 188. Is a(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 23*j**2 + 42*j + 2. Let n be k(21). Solve 6*v - v = -d + 6, 0 = n*v + 4*d - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 q when four letters picked without replacement from fqfqqq?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53.2 - 53. Let m be 1 - (1 - 1\/1). Let y = 1 - m. What is the nearest to y in b, 1\/8, -1\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1667087 and -9?\nAnswer: 1667096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4646558 or -4646740?\nAnswer: -4646740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let w be (20\/25)\/(4\/(-40)). Let k be ((-33)\/6)\/((-4)\/w). Let x = k + 17. Give t(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 28090150?\nAnswer: 1\/28090150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-73 + 56 - (-1 - 8)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1623 - 1540. What is the greatest common factor of 249 and o?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*b - 570 = 0. Let d(k) = 60*k - 69. Let f be d(3). Let y = f + b. Solve -8 - 8 = -5*l - 3*i, 5*i - y = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31910.4 millennia to centuries.\nAnswer: 319104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 282 - -595. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 123*g + 11. What is the hundreds digit of y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1002 is divided by 199?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226 a factor of 138852728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + (6*(sqrt(75) + 0))**2 - ((-2*-2*sqrt(75) - sqrt(75)) + (0 + sqrt(75) - sqrt(75)) + -1)**2.\nAnswer: 30*sqrt(3) + 2030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*i - 2*i - 7*i)*(3*i**2 - 4*i**2 - 2*i**2) in the form s*i**3 + l + g*i**2 + n*i and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4627487 to the power of 1\/2, to the nearest integer?\nAnswer: 2151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37968*i**4 - 2*i**3 - 65*i**2 + 849.\nAnswer: 911232*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(3864\/(-23))*(-2)\/(-1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12054\/(-294) + 146\/(-1314) + 2\/18*-53.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17287844 and 18.\nAnswer: 155590596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from zllzlzllllztzlllo.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167*o + d = 1165*o + 28, 2*o - 3*d - 36 = 0 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072 is divided by 263?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 20*z**3\/3 - 138*z**2 - 36*z - 3. Let o be n(7). Solve 2*u + 2*u + 14 = 3*q, 28 = -o*u - 4*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 5 + -5 + 5 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -17*o**2 + 5. Let x(b) = -52*b**2 + 14. Calculate 14*v(g) - 5*x(g).\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 17*v**2 - 24*v + 6. Give a(-18).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21591 and 26.\nAnswer: 561366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**4\/4 - u**3 + 3*u**2\/2 + 2*u + 9. Let p = 5 + -2. What is the units digit of v(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 7) to base 8\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13870 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -897991*f**2 + 82*f + 1723.\nAnswer: -1795982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138728162.\nAnswer: 2, 31, 2237551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*b = -24, -n - 4249*b + 4251*b + 4 = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfuvffvu. Give prob of picking 3 v and 1 f.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 2. Suppose 0 = -y - n + 43 - 12, -15 = -y + 3*n. Suppose 7*m = -2*m - y. Calculate o(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*c + 64 = 17, -4*f + 48 = c. What is the remainder when 116*(-2 - -7)\/20 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*y - 22783 = -23*y + 7267 + 622 for y.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + 1 + (-2 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 848*z**2 + 846*z**2 - 1691*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148)\/(-1295)*((-15)\/2)\/(-3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29\/4 + 7. Put p, -3, -118 in descending order.\nAnswer: p, -3, -118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.0234 - -7.42295. Let c = -2.6 - p. Round c to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 455 = -5*t, 3*t = 5*u - 0*t - 431. Suppose 7*a = 3*a + 3*d + 75, 2*d = -5*a + u. What is the highest common divisor of 45 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35221.\nAnswer: 35221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19657472 divided by -4914368.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from nnnnnnnxnnnnnnnnnnnx?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 665695907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.24 - 0.06. What is the fourth smallest value in y, -5, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6781 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 112*i - 1582. Calculate w(14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1761 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -6.9. Let x = 33 - 30. Suppose -15 + 6 = -x*f. What is the second biggest value in v, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b + 112 = 0. Suppose -5*m + 0*l + 20 = 5*l, -b = -2*m + 3*l. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29143, -56614, -84085, -111556, -139027, -166498?\n\"Answer: -27471*c - 1672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22069 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: What is 21508 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 - 7*b + 5. Determine n(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 7. Let f be v(-10). Let d = -16 - f. Is d at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145 + -434\/3. Let o(y) be the second derivative of v*y**4 + 0 - 3*y + 0*y**3 + 0*y**2. Let z(w) = -2*w. What is z(o(i))?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1501030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + i**2 - 212. Let v(l) = -l**3 + l**2 + 1. Let o(x) = d(x) - v(x). What is the derivative of o(w) wrt w?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-196)\/60)\/(-7)*106\/371.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662.7681 micrometers in meters?\nAnswer: 0.0006627681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 0*t**2 + 0*t**2 + (0*t + 2*t - 4*t)*(-t + 4 - 4))*(4*t - 2*t - 4*t).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(704) - (sqrt(704) + (sqrt(704) - sqrt(704)*2))) + 2)*-6 + (sqrt(99) + (sqrt(99) - -2*sqrt(99)*-1))\/(-3*(sqrt(9) - sqrt(36)))*-2.\nAnswer: 60 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 1)*39\/((-156)\/(-20)). Factor -5\/2*u**4 - 5*u**3 - 1\/2*u**5 - 1\/2 - 5\/2*u - y*u**2.\nAnswer: -(u + 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*p + 80. Let b(i) = -i**2 + 5. Let d be b(p). Solve -u - 2*u - d*v - 2 = 0, 3*u + 3*v = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 12*p**2 + 10*p - 17. What is d(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 113*i**2 + 3016*i + 10092.\nAnswer: (i - 58)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:42 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-48) + 36\/(-108)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -3913?\nAnswer: -3910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i - 305. Let u be m(-6). Let s = 501 + u. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o + 27 = 0. Let f = 1 - o. 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 853130 is divided by 1156.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -7)*7*6\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 78, 56, 12, -60, -166?\n\"Answer: -f**3 - 5*f**2 + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -32. Suppose 6 = -2*d + 4*d. What is the units digit of d + (-1 - h) + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - l**2 + 15*l**2 + 13*l**2 in the form j*l + s + m*l**2 and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i - 1473 = -633 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 381 + -226. Calculate the greatest common divisor of a and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**6\/120 + b**5\/20 + b**4\/2 - 7*b**3\/6 - 14*b**2. Let g be t(5). Solve -d + f - 3 = 0, -6 = 2*d + g*f + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.2 + -3.7. Which is the nearest to -7? (a) -4 (b) n (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -4, 0, 1, -2 in decreasing order.\nAnswer: 1, 0, -2, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**3\/3 + 3*v**2\/2 + 6*v. Differentiate f(k) with respect to k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32 - -18)*4\/(-14). Let x(b) = 16*b - 2. What is the remainder when x(v) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1. Let g(k) = -k**3 + k + 1. Let q(f) = g(f) - 2*n(f). Let z be q(-3). Let c = 41 - z. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*((-16)\/(-4) + -10). Factor -l**4 - 2 - l**5 + 2*l - 4*l + 1 + 2*l**2 + l + 2*l**t.\nAnswer: -(l - 1)**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 15 + -5 + -5 + -13\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*n + 31, 3*n + 0*b - 5*b + 1 = 0. Suppose 2*t - 2*a = -0*t - n, 10 = -5*t + 3*a. What is the least common multiple of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -2*b. Suppose o - 6 = -b*o. Suppose 9*z - 12 = 7*z. Calculate the highest common divisor of z and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhkahakavkeaaahake. Give prob of picking 1 k and 1 a.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647876230 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(275) + 1))**2.\nAnswer: 360*sqrt(11) + 9936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 7*h**2 - 11*h + 4. Let x be p(5). Which is smaller: -3\/89 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 3:26 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/(-6)*(-6)\/(-9) - 1. What is the second smallest value in 0.3, b, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.4, 1\/6, 4\/5 in ascending order.\nAnswer: -1\/2, -0.4, 1\/6, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*11.4.\nAnswer: 0.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -0.4, 1, 7, 2543564, 0 in descending order.\nAnswer: 2543564, 7, 1, 0, -3\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 20 + 20 + -42?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1872)*3)**2 - (sqrt(1872) + sqrt(1872) + sqrt(1872) + sqrt(1872)*1 + 0)**2) + 0.\nAnswer: -97344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7600*o = -1099*o + 416064 for o.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 180 - 102. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8275?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19*(-43)\/(-118465))\/(4\/(-40))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.669706mg in nanograms?\nAnswer: 9669706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 12*u**2 + 6*u + 22. Determine v(10).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1 - -1 - -8) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 = 0, -z = 5*n + 51 + 1. Let i be (-2)\/(-8) - -33*n\/(-132). Solve -i*g + y = 2*y + 15, -21 = 3*g + 3*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55275 at least as big as -55275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 591 and 5319?\nAnswer: 5319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/12 + (-9552)\/(-64) + -6. Solve -94*l = -u - 44 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:06 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -154179.9 and 36.\nAnswer: -154143.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (14 + 7 - (-3 - (-2 + -3))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-6227107.\nAnswer: 12454214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/9, 5\/51, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*d - 303*d - 14105 + 142*d.\nAnswer: d - 14105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 138180 = -23*o. Let g = 32070 - o. Round g to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 24, 91, -0.3, 0.519?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3546541 (base 7) to base 4.\nAnswer: 1231212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 15*f**2 - 28*f + 24. Let i be q(15). Let u = -453 - i. Which is the smallest value? (a) 0.1 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 0.2, -4\/7, -4 in ascending order.\nAnswer: -4, -4\/7, 0, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -209 + 218. Let h be (-32)\/256 - b\/(-8). Solve l + 3*j = -1, 22 = 5*l + j - h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 o when four letters picked without replacement from {e: 2, o: 6, u: 9}.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 3*p. Let n be z(-4). Suppose 3*b = -n*a - 2*b + 18, 2 = -2*a + 3*b. Solve -k = -1 - a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15009?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 320216 * 5\nAnswer: 1601080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = i - 5*d + 17, -4*i + d + 31 = 0. Let z(g) = -11*g - i + 1 - g + 3. What are the prime factors of z(-3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-42 + 19 - -23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k + 19 + 17 + 24 - 2*k. Let t be h(-12). Let w = 19 + 113. Calculate the greatest common factor of w and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -1599*l**8\/28 + 3*l**4\/4 - 53*l**2\/2 + 1771*l. Find the third derivative of j(y) wrt y.\nAnswer: -383760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.3217 nanoseconds in microseconds?\nAnswer: 0.4943217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -297\/10 or -29?\nAnswer: -297\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3736 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-282)\/(-2256)*36\/(-2)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457930 divided by -2530?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -436 - -438. Let u(n) = -5*n - 3 + 30*n**2 - 4*n - 23*n**f - 8*n**2. Give u(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1192989\/(-112))\/((-27)\/12) - 1\/12. Calculate the highest common divisor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 4)*(-7*x - x + 0*x)*(-5 - 1 - 2)*(3 - 1 - 1) in the form b*x + z and give b.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.251?\nAnswer: 0.0251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*m**2 + 1183*m**2 - 418*m**2 - 434*m**2.\nAnswer: -78*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p - 615. Let b = p + 311. Let t = -76 + b. What is the remainder when t is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1642 is divided by 163.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5131 + 5131.41. Sort a, -2\/3, -0.5, -2, 5.\nAnswer: -2, -2\/3, -0.5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6925 and 13573?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s**3 + 7*s**2 - 8*s + 6. Let l(o) = 6*o**3 + 6*o**2 - 7*o + 5. Let u(p) = 5*f(p) - 6*l(p). Let m = 3 - 5. Determine u(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 480 + -478. Let m be (a\/(-3))\/((-25)\/150). Solve 0 = 4*g - 2*t + 26, 9*t - 4*t - 9 = -m*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - -96. Suppose -4*l = 4*n - 200, -190 + 158 = -4*n. Calculate the highest common factor of l and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 12:12 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*2)\/((-252)\/24).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -66 (b) 16 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9.6252624 milliseconds?\nAnswer: 0.0000001114035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4903.92 centuries to months.\nAnswer: 5884704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 12:09 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 115957399 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5068238 = -22*c - 28*c - 36*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52091, 52092, 52093, 52094?\n\"Answer: v + 52090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44 + 12754?\nAnswer: 12710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1416861, 2833741, 4250621, 5667501, 7084381, 8501261?\n\"Answer: 1416880*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 2 - 10) + (2 - (26 + -21))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8694 is divided by 8686.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -137, -0.03, -0.1, 4, 3?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -120409*m**5 - 3015777*m**4 - 24044735*m**3 - 57466643*m**2 + 24165144*m + 60482420 = 0. What is m?\nAnswer: -3478\/347, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 188807570 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 4*t - 14 - 23, 12*t + 89 = -7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*y**5 + 0*y**5 - 2*y**5 + (-90*y**3 + 4*y**3 - 17*y**3)*(-3*y**2 + 2*y**2 + 3*y**2).\nAnswer: -198*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7626 + -3.1626. Put -3\/11, b, -0.5, 16 in descending order.\nAnswer: 16, -3\/11, b, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1459604\/63 - 23169. Find the common denominator of n and -33\/10.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 152 - 79 = 0. Let d = 79 + -78.4. Which is the biggest value? (a) 0.4 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t = -4*f - 1474, 3*f + 3706 = 5*t. Let z = 1201 - t. What is the remainder when z is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12127522 is divided by 2425504.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-6) + (-480)\/(-45) + -11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.353707 to 1 dp.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -52565.97 * -1\nAnswer: 52565.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*8\/(-36) - (-1302)\/27 and 42\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 0*i**2 + 0*i**4 + 2*i + 1\/20*i**5 + 1 + 1\/30*i**6 + 0*i**3. Let d(h) be the first derivative of w(h). Factor d(g).\nAnswer: g**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1)*f)\/f**(5\/2))\/(f**(2\/3)\/f)**(-27) assuming f is positive.\nAnswer: f**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*a**4 + 48*a**4 - 78*a**4 + (0*a - a + 7*a)*(5*a**3 - 5*a**3 - 2*a**3) to the form h + c*a**2 + j*a + n*a**4 + u*a**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m**4\/5 + 8752*m**3\/5 + 7142*m**2\/5 - 1588*m\/5 = 0.\nAnswer: -397, -1, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 3*w - 4 = 5*k, -1 = -k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*v**4 - 919*f*v**2 + 12766*f - v**3 wrt v.\nAnswer: -4*f*v**3 - 1838*f*v - 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2160 is divided by 215?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 875 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -0.3, -1.368, 1129?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508516 not equal to 4508512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 7:00 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.776 + -41.247. Round w to zero dps.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 328 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -808 + 385. Let p = -48146 + 48171. What is the remainder when p is divided by (-2)\/(-11) + r\/(-33)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-12))**(-3\/5)\/(d**(-2)\/(d**(-1\/18)\/d*d)) assuming d is positive.\nAnswer: d**(769\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4*y + 6. What is the smallest common multiple of 3*(-2)\/y*16 and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 - (-13 - -3 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 33.6. Let b be -1 - ((1 - 4) + 2). Suppose 5*n = -b*n + 15. What is the nearest to -2\/5 in -0.5, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*m - 26. What is the derivative of -84 + 178*a - 87*a**m - 176*a + 24*a**4 wrt a?\nAnswer: -252*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = s + 580, 3*y + 2*s - 280 - 68 = 0. Let j = y - -63. Let i = j - 126. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 5*b - 15. Let v be a(7). Let t(s) = 22*s + 1. Let k be t(2). Let z = k + v. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -209*r**2 + r**2 + 530*r**2 as p*r**2 + t + h*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5, 0.01, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -54*c**2 + 24*c - 24. Let z(p) = 19*p**2 + 3*p + 5. Let x(m) = 40*m**2 + 8*m + 10. Let o(y) = 4*x(y) - 9*z(y). Determine 5*a(k) - 24*o(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 1\/3 (b) -12 (c) 270\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 5*v**2 + 23*v + 12. Let g = 269 - 115. What is the lowest common multiple of g and w(-8)?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2959 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32800161851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/5 + 82*q**4 - 20388*q**3\/5 - 64064*q**2\/5 - 43264*q\/5 = 0. Calculate q.\nAnswer: -2, -1, 0, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 6615.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (205\/20)\/(9\/6228) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2089 - 1043 - 1048 + 61*q**3.\nAnswer: 61*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(1\/25)*v*v**(-8)*(v*v\/(v**(-6\/5)\/v))**(-2\/7) assuming v is positive.\nAnswer: v**(-179\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4)*8\/(-4). Let v(z) be the first derivative of z**4\/2 + 2*z**3\/3 - 11*z**2\/2 - 5*z - 7127. Let n(c) = -c**3 - c**2 + 6*c + 3. Give b*v(q) + 5*n(q).\nAnswer: q**3 + q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2975941453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, u: 1, o: 2, d: 1, v: 1}. What is prob of picking 2 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33*i - 20*i**3 - 28*i**3 + 49*i**3 + 294 wrt i?\nAnswer: 3*i**2 - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -7348325091.\nAnswer: -7348325092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhxhx. Give prob of sequence xhx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 14 = 3*b, -2*t + 7*b + 10 = 10*b. Suppose -4*f - 1139 = -y + 1630, -f - 5573 = -t*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 47*v**6\/15 + 7*v**5\/20 + 2431*v**2\/2 - 15*v - 95. What is the derivative of b(x) wrt x?\nAnswer: 376*x**3 + 21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (25 - 34 - -44) - 107.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**0*t))**(2\/69))**(-1\/52))**(-15) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -41*p + 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014201969.\nAnswer: 3, 11, 19, 1617547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1034071 millilitres?\nAnswer: 0.0001034071","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 151*p - 35*p - 61596. Calculate the remainder when p is divided by 61.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)*-1)\/sqrt(2) + 1*sqrt(1188))\/(-5*(sqrt(11) + sqrt(88)\/(sqrt(8)*-2))))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**0)**(4\/3) assuming v is positive.\nAnswer: v**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645555608?\nAnswer: 2, 2969, 27179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9037 and 1.2132093.\nAnswer: 9038.2132093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -15*x**2 + 17. Suppose 0 = -3*k + 4*k + 4. Let w(l) = 7*l**2 - 8. Let h(g) = k*o(g) - 7*w(g). Differentiate h(m) wrt m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 103 = 5*g, 3*n = 2*g - 4*g + 68. Let x be (-2)\/((-4)\/n - (-121)\/(-143)). Let w(l) = -93*l + 7 - x + 91*l. Determine w(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93267 and 5934.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -3. Let f = z + -4. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70090 + i**4 - 70134 - 3*i - 2*i**2 - 2*i**4 to t*i**4 + j + l*i**2 + n*i + o*i**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 100551646 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 404*k**2 + 26258*k - 219. Calculate m(-65).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5 + 26*h**4 - 56*h**3 - 704*h**2.\nAnswer: -h**2*(h - 22)*(h - 8)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w + 32. Let r be 3*(4 + 28\/(-3)). Let j be f(r). Solve j = 3*y + 3, 0 = -5*a + 2*y - 0*y - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/48195 and -71\/39690?\nAnswer: 674730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7227635.\nAnswer: 5, 17, 23, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100975903 or -100975904?\nAnswer: -100975904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33\/(-9) + 3 - (-1 + 168074\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00532545 to five decimal places.\nAnswer: 0.00533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*p**2 - 23*p**2 - 13*p**2 + 2 - 18*p**2 + 1.\nAnswer: -24*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 57. Let b(c) = -c + 28. Give 7*b(y) + 4*n(y).\nAnswer: y - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*b**4 - 168*b.\nAnswer: 624*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + x**2 + 1. Let j be k(-2). Let v be 3\/9*(-3 - j). Suppose 0 = 4*y - v*y - 56. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*v**(3\/5)\/v)\/((v\/v**(2\/7)*v)\/(v\/v**10)) assuming v is positive.\nAnswer: v**(-249\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6389164 and 2668?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3 - 4 - 3*r - 6 - 2. Let q be m(-6). Let p(j) = j + 3. List the prime factors of p(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28180 is divided by 81.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 504953828.95 minus -9.1?\nAnswer: 504953838.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*j**2*y**2 + 211*j**2*y + 26533*j**2 - 2*y**2 wrt y?\nAnswer: -32*j**2*y + 211*j**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 + q. Let v be x(-3). Let i be (-1)\/(-5) - 52\/v. Is 0 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 - -40859.2.\nAnswer: 40859.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 491 + -490. What is the closest to n in 4, 3, -2\/9, -3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4941 - 4939. Solve t = -y*b - 2, -5*t - 6 - 4 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 20*g**4 + 13717823*g + 57*g**3 + 5*g**4 + 1 - 13717822*g to l*g**3 + d + x*g**2 + p*g + v*g**4 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/(-16) + (-1)\/4*-1. What is the third derivative of -30*x**3 - 12*x**2 - 7*x**3 - x**3 - x**5 - f*x wrt x?\nAnswer: -60*x**2 - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7405 - -7408. Solve -z*p + 6*k - 11*k = -16, -3*p + 3*k = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1749*b**3 + 3575*b - 15. Let v(s) = 250*s**3 - 511*s + 2. Let o(c) = -2*n(c) - 15*v(c). What is the second derivative of o(f) wrt f?\nAnswer: -1512*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51747, 103509, 155269, 207027, 258783?\nAnswer: 310537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 31373.\nAnswer: -3\/31373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -1136.\nAnswer: 1135.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -6. Suppose q + 13 = 22. What is the lowest common multiple of v and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 0*w + 3*w)*(1 + 0 + 0) - 7363*w - 117*w - 973*w - 1526*w as u*w + b and give u.\nAnswer: -9977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*g + 26590 + 33512. Let z = 9557\/10 + g. Find the common denominator of (-58)\/(-40)*-2*1 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1272592 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times 67479.1?\nAnswer: 3643871.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**5*o**2 + 599*f**2*o**2 + 27*f*o**2 + 66 wrt f.\nAnswer: 20*f**3*o**2 + 1198*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-15) + 251\/5. Let u be 1\/(-2)*-6 + 72. What is the greatest common divisor of u and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35281806 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: Simplify (sqrt(7344)*3*-4)\/(sqrt(12)*2 + sqrt(192) + -1*sqrt(192)).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159900 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10402412 is divided by 385274.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(130)*-2)\/sqrt(10) + -5*(sqrt(1053) + 0) + sqrt(1053))*2.\nAnswer: 320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) 8 (c) -5 (d) 0 (e) 0.2 (f) -0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a**4*j + 104*a**3*j + a**2*j + 56*a - 3*j + 7 wrt a.\nAnswer: 108*a**2*j + 624*a*j + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -73899 in ascending order.\nAnswer: -73899, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -739 or -4416?\nAnswer: -4416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114613735 to the nearest integer?\nAnswer: 10706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*1*1\/2. Suppose 0 = 4*b + w, -b - 3*w = -w. Solve -6 = z*j - b*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n - 5. Calculate x(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -884, -1588, -2344, -3170, -4084, -5104, -6248?\nAnswer: -7534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 9) + 10\/(-8)*(-8)\/2. Solve 82*n - 81*n = q, 4*s = -3*n - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-13)*h\/((h*h**(1\/14)*h)\/h)*h)**(-39))**(20\/11) assuming h is positive.\nAnswer: h**(65910\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-24)*0)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (1 - 2)) + 1. Let b be (-2 - (l - 3)) + 3. Let k = -4 + b. What is the third biggest value in k, 0, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u**5\/7 - 284*u**4\/7 - 2272*u**3\/7 - 3172*u**2\/7 + 2256*u\/7 + 3456\/7 = 0.\nAnswer: -4, -9\/4, -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 353*c**2 + 12560*c + 12515. What is t(-313)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.7 and 20.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -88. Let m = n - 65. What is the greatest common factor of 48 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 3. Let v be w(-6). Let y(t) = -v*t - 7*t + 14*t. Let u(g) = -8*g**2 + 12*g. Let n(p) = p**2 - p. Let c(z) = 24*n(z) + 2*u(z). Calculate c(y(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 5 in increasing order.\nAnswer: -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 1 (c) -2 (d) 0 (e) -1 (f) -14694\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*b**3 - 11445 + 11445 + b.\nAnswer: 387*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18590*r**3 - r**2*y - 12*r*y + y - 320 wrt r.\nAnswer: 111540*r - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91990522 to the nearest integer?\nAnswer: 9591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -1011001?\nAnswer: -1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -9*r**3 + 9 - 6*r + 33\/2*r**2. Factor g(j).\nAnswer: -3*(j - 1)*(9*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 7*r - 9. Let s be v(8). Let o(a) = -10*a**3 - a**2 - a - 1. Let i be o(s). Let n = -62 - -98. Calculate the highest common factor of i and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/185 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 56*y + 50*y - 16*y - 98, 5 = -2*v - 4*y - 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5272559?\nAnswer: 41, 128599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 651211 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995960\/27 less than or equal to 110962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 h when four letters picked without replacement from {h: 7, q: 2, i: 1, f: 2}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**2\/2 + 8*u - 5. Find the common denominator of j(-7) and 71\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -302 + 302 + 18*f + 2*f**3 + 0*f**4 - f**2 + 16*f**4 to d*f**3 + z*f + p + r*f**2 + j*f**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/32)\/((-1)\/25 - 0). Which is greater: -0.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2202050 = -38*a - 27*a - 5280450. Round a to the nearest 1000.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4278 (base 14) to base 2\nAnswer: -10110011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5479401 to the power of 1\/2, to the nearest integer?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/1 - (0 + -4). Suppose -5*g + 15 = r, -29 - 43 = -2*o - 2*g. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 4, 1, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 13*u - 3. Let h be l(-6). Suppose -t + 6*t - 57 = -h*b, 5*b = 3*t - 41. Let q(x) = 2 - 9*x**2 + t*x**2 - 2. Give q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18579215 is divided by 1227.\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 15*n**2 - n - 108. What is the remainder when 88 is divided by q(14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - n**2 - 18*n - 17. Calculate h(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227494.\nAnswer: 2, 17, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1428 divided by 7\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -2*x + 6, -72924*r + 72923*r - 3*x + 13 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*w - 2 = 0, 5*w - 3 = k - 1. Suppose -4*g + 6105 = -3*g - 3*l, -k*g + 2*l = -18329. Suppose 561 - g = 3*c. What is c rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = -i - 46, 600*w - 5*i - 158 = 599*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + u**2 - 4*u)*(-12177*u**3 + 23927*u**3 - 8970*u**3).\nAnswer: 2780*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 11\/784886?\nAnswer: 11\/784886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*y + 2, -2*c + 3*y + 13 = 3*c. Suppose -c*x = -x + 760000. Round x to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -78984 + 145?\nAnswer: -78839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * 0.2.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 215023*x**3 - 14*x**2 + 33037462*x.\nAnswer: 1290138*x - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8116 and 127652506?\nAnswer: 4058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15409631?\nAnswer: 15409631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -37*a + 153. Let o be s(4). Solve -o*b - 45 = 4*l, -l - 15*b = -13*b + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1307368752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -427.113 - -0.113. Let m = x - -426.999631. Round m to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -400 + 405. Suppose -27236 = -r*g - 6471. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542544?\nAnswer: 2, 3, 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 2*j + 48, 13*d - 15*d + 2*j + 24 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7340 and 6014396?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -268432, -536875, -805322, -1073773?\n\"Answer: -2*j**2 - 268437*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*-1*72\/54?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27\/(-108))\/(7\/12). Let b = 1.1 - -6.9. Let w = 5 - b. What is the second biggest value in v, 8, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by -6.\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 15. Let x be (-22)\/(-4) - q\/(-4). Let o(z) = -2*z**2 + x*z**2 - 4*z**2. Let i(r) = 7*r. What is i(o(u))?\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26003209, -52006419, -78009629, -104012839, -130016049, -156019259?\nAnswer: -182022469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 f when three letters picked without replacement from ffwffwffwffffffwwff?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -1)*119 + 5\/(-5). Let q = u - -122. Suppose 2*b - 62 = h - 3*h, -4*h = -q*b - 100. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.587935 rounded to 3 decimal places?\nAnswer: 1.588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 92314, 5, -3 in descending order.\nAnswer: 92314, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 1322, -5, 18 in decreasing order.\nAnswer: 1322, 18, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 - 121. Let n be 90 - ((-3)\/(-4))\/(1\/o). Suppose -7*r - n = -3*p - 2*r, -3*p + 111 = r. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - h. Let c be s(1). Let a(z) = z**3 + z**2 - z + 3. Let r be a(c). Solve -3*m - r = -6*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2486*r*v - 68997*r + 14947281*v with respect to r.\nAnswer: -2486*v - 68997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2*n**2 + 5*n**2)*(5 - 2 + 1)*(-2 - 6 + 0).\nAnswer: -64*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, p: 4, b: 1, q: 1, f: 2, a: 3}. What is prob of sequence rff?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7029431*v**4 - 10011395.\nAnswer: 28117724*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90413759 is divided by 2851.\nAnswer: 2847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p + 9 + 0*p - p)*(-3*p**2 + 0*p**2 + p + p**2) as b*p**2 + y + l*p + q*p**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 t when four letters picked without replacement from thtttththt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -17*m**3 + 11*m**2 + 40*m - 9. Let n be s(-5). What is n rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(4\/(-3)))\/(3\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 2\/3449, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**5\/10 - 31*t**2 + 2*t - 27. Let r(y) = 4*y**2 + 122. Determine r(w(p)).\nAnswer: 144*p**4 + 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36289, -145156, -326599, -580618, -907213, -1306384, -1778131?\n\"Answer: -36288*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 762952.1ug?\nAnswer: 0.7629521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*8\/(8\/(-2)). Let p(c) = c**2 - 4*c + 3. Let a be p(4). Let d = a + -2. Put d, s, 6 in increasing order.\nAnswer: d, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + 5 - ((sqrt(48)\/sqrt(3))\/sqrt(8))**2)*4.\nAnswer: 12 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**4 + 56*f**3 - 36*f**2 - 864*f + 1728 = 0.\nAnswer: -4, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -637, 42, 4?\nAnswer: -637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -33. Let j(f) = 3*f - 62. Let g(c) = -c + 22. Let s(w) = -17*g(w) - 6*j(w). Determine s(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*d + 61*d = 6. Suppose -3*p = -d*p - 4. Suppose -w + 35 = p*q + q, 80 = 4*w + 5*q. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 greater than or equal to 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -865, -1743, -2621?\nAnswer: -3499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 10. Let l be 4\/(-12) - (-3)\/7. Sort l, -4\/9, v.\nAnswer: -4\/9, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2 - 9*t. Let p(q) = -4*q**2 - 8*q. Suppose 3*i - 12 = -3. Let d be 1 - ((-17 - 1) + 1). Suppose -d - i = 3*r. Calculate r*p(h) + 6*f(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g + 3. Let v(o) = 2 - o - 1 + 0. Let c(d) = -s(d) + 3*v(d). Let m(i) be the first derivative of -i**2 + 10. Give m(c(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 - 6*o**2 + 5*o + 7. Let t(f) = 6*f + 0*f**2 - 7*f**2 + 8 + 2*f**3 + 0*f**2. Let w = -1483 + 1488. Determine w*t(a) - 6*x(a).\nAnswer: -2*a**3 + a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 0*z + 5*z + 4330, 0 = 4*t - 3*z - 5755. Let h be (-8)\/(-12)*(4 - t\/(-2)). Round h to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.03, -0.1, -150, -27, -25, -3\/5, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2067144 or -2066613?\nAnswer: -2066613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 194?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 75*u + 31*u + 0 - 62*u.\nAnswer: -106*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 44 = -336. Suppose 3*f - 1513 = z, l + 207 = f + z. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111011002020112 - 1220?\nAnswer: 111011002011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l = 12. Suppose 0 = l*y - y - 111. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -5. Let r be (-45)\/2*20\/z. Calculate the common denominator of -41\/6 and ((-104)\/r - -2) + 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + 496. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 1808*s + 102612.\nAnswer: -4*(s - 503)*(s + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/8 (b) 1\/79 (c) 2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.34 + 13.24. Let r = 0.2 + -0.18. What is the closest to u in -0.5, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(637) + sqrt(637))*1 + sqrt(637) + sqrt(637) + -1 + sqrt(637) + -4 + 4 + (sqrt(637) + 4 + sqrt(637))*-3)*-1)**2.\nAnswer: 154*sqrt(13) + 758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-4.65.\nAnswer: 23.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -13. Which is the second biggest value? (a) o (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 13*x - x + 119 - 118 - 7*x.\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-3))\/(86\/129)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -122*k**6 + 3865*k**4 + 1504828*k**2 wrt k?\nAnswer: -14640*k**3 + 92760*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -39*r + 621. Let d be v(16). What is the second biggest value in d, 0.2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21341*t + 1326 = -21307*t for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 1\/6*m**6 - 1 - 2\/3*m**3 + 1\/2*m**2 - 1\/2*m**4 + m + 1\/5*m**5. Solve o(d) = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4650 + 2589 = 3*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + p + p**2)*(5 - 2 - 4)*(-1 + 3 + 2)*(-p**2 - 6*p + 6*p) to the form a*p + s*p**4 + z*p**3 + n*p**2 + c and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*l - 79 - 76, 2*p + 4*l = -38. Let g = -19 - p. Let i(u) = g*u**2 + 3*u - u**2 + 9 + 0*u + 1 + u**3. Calculate i(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**1)\/j*(j**(2\/11)*j)\/j*((j\/j**(2\/3))\/j)**(-31) assuming j is positive.\nAnswer: j**(721\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 2. Let i be h(3). Let w(q) be the second derivative of -17*q**3\/3 - q**2 - 133*q. What are the prime factors of w(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 3\/8 (b) 1\/4 (c) 152\/7 (d) -0.137\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*m - 533 = 477 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 - -116. Let c(a) = -7*a**3 - 2*a**2 - 2*a. What is the units digit of c(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 68 = -5*c + 4*a, 44 = 4*c - 5*a. Suppose 10 = 3*q - 2*z, -2*q + 5*z = q - c. Let k = -1642 + 1646. Solve -5*x = -n - 1, -k*x = -q*x + n + 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -12*n**2 + 9*n - 32. Let l(p) = 23*p**2 - 17*p + 59. Let h(x) = 11*c(x) + 6*l(x). Let v(i) = -7*i**2 + 3*i - 3. Calculate 5*h(s) + 4*v(s).\nAnswer: 2*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 0*v**5 - 1\/56*v**8 + 0*v**7 + 0*v**6 + 5*v + 0*v**3 + 0*v**2 - 1\/12*v**4 + 0. Find the third derivative of m(n) wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y. Let l = 7 - 5. Suppose -5*j - 13 = -l*v + 6, -2*j = -2*v + 16. Let g(t) = 7 - 2*t - v. Determine g(b(m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86544332 divided by 1169518.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 10*q = -11*p - 78, -5224*q + 3*p = -5227*q - 27 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + sqrt(684)*3) + ((sqrt(684) - (sqrt(684) + sqrt(684)*2))*5 + (sqrt(684) + 0 + -4 - sqrt(684) - sqrt(684)))**2.\nAnswer: 492*sqrt(19) + 82770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2068 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (0 + 7324)\/(-2). Let k = 36549\/10 - u. What is the common denominator of k and 3\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6*(2 - -1). Let k = -1368 + 1370. What is the highest common factor of r and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -775, -957, -1139, -1321, -1503?\nAnswer: -1685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 2:56 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 + 253?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/5 + (-2)\/5. Let o = -227715 - -227715. What is the closest to o in s, 1\/2, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3357997654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -0.636?\nAnswer: 8.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 179\/2 - 88. What is the second smallest value in -0.1, s, -0.4, 2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (781875\/62550)\/((3 - 52\/20)\/(2\/50))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -3049*a**2\/2 - 1902*a + 2382. What is the first derivative of w(s) wrt s?\nAnswer: -3049","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v**2 + 102*v - 2. Let w be u(0). Put w, 542, 2 in increasing order.\nAnswer: w, 2, 542","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30319778?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**3 + 4*y**2 - 9*y - 4. Let h = -56 + 59. Let w be d(h). What is the units digit of -2 + (0 - 1 - 0) - w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 215992 and 88?\nAnswer: 2375912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*l**4 - l - 1 wrt l?\nAnswer: 636*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4651*j**2. Let g(i) be the first derivative of i**3\/3 - 3963. Calculate t(g(n)).\nAnswer: -4651*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y. Let o(r) = 2*r**2 - 3*r - 408. Determine i(o(x)).\nAnswer: 2*x**2 - 3*x - 408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 15) to base 16.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**3 - 3*o**2 + o - 4. Is 13 a factor of f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0632073761 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 632956 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 0 - 133*h**3 - 5*h + 13 + 44*h**3 + 40*h**3 + 46*h**3. Let b(p) = 4*p**3 + 7*p - 19. What is -5*b(q) - 7*y(q)?\nAnswer: q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3 + sqrt(153) + sqrt(153) + -1)**2 - (-2*(2 + sqrt(153)))**2).\nAnswer: -96*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1\/((-1)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3699 + -0.1301. What is the biggest value in -3\/31, -0.2, -3, o?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**4\/4 - 7*r**3\/3 + r**2 + 1. Let g be -2 - (-1 + -3) - -5. Is n(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -15*v. Suppose -5*y + 2*z + 2 = -7, y + 3*z = -5. Let c be u(y). Let m(g) = g**2 + 13*g - 17. Is 13 a factor of m(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009293253 rounded to 6 dps?\nAnswer: -0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 882 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -433.65 - -432.65. Let n = -10 - -3. What is the smallest value in n, b, -0.3, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1498, 1505, 1502, 1483, 1442, 1373?\n\"Answer: -h**3 + h**2 + 11*h + 1487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-23)\/((-1840)\/(-64)))\/((-2)\/5))\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 1. Let z(s) = 2*s - 2. Let q(h) = -9*u(h) + 4*z(h). Let f(v) = v**2 - 3*v + 1. Let x be f(2). Let l be q(x). Solve 0 = 2*a + l*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3569, 7210, 10853, 14498, 18145, 21794, 25445?\n\"Answer: x**2 + 3638*x - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9018*y + 9018*y - 851*y**2)*(3*y + 0*y + 3*y) + 2*y**3 + 4*y**3 - 4*y**3.\nAnswer: -5104*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758035?\nAnswer: 5, 151607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 + 13?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.639866 times 1?\nAnswer: 61.639866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*g + 305. Let z = g - 60. Let 28*n + 42*n**3 + 61*n**2 + 88*n**4 + 5 - 79*n**4 - z = 0. Calculate n.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-113 - 25 - 76 - 30 - 19)*(-3*q + q + q).\nAnswer: 263*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2311 (base 4) to base 14\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 10:40 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 325834 > 325829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.831 - 2.8. Let u = -0.0322 + -1.3868. Let r = u - f. What is r rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 5*v - 4*v + (-2*v + 2 - 2)*(0 - 2 + 0))*(-1132 - 654 - 2471) to m + t*v and give t.\nAnswer: -12771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/(-11)*(-4)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l + 4*z + 17, -3*l - 2*z + 5 = 0. Differentiate 3 + l*h**2 + 3 + 9*h**2 - 2*h**2 with respect to h.\nAnswer: 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7)\/p**(-7))\/(p**19)**23 assuming p is positive.\nAnswer: p**(-3012\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2 + 1. Suppose 12 = 2*w - w + j*a, 0 = -5*w + 4*a - 16. Let f = -1 - -3. Solve f*u - 4*u + 6 = w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22891100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -0.03, -1, -7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407722?\nAnswer: 2, 703861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29077?\nAnswer: 29077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*(l*l**(3\/7)\/l)\/l)*l**(-2\/13))\/((l*l**(-2\/13))\/((l*l**4\/l*l)\/l)) assuming l is positive.\nAnswer: l**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*o + 30*o - 10 - 46 + 60.\nAnswer: -2*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 - 577138. Let m(g) = -2*g. What is h(m(b))?\nAnswer: 20*b**2 - 577138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w. Let b(r) be the second derivative of -61*r + 0 + 0*r**3 + 0*r**2 + 11\/6*r**4. What is b(a(j))?\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 1. Let g = 3 + w. Let q = 51 + -50. Is g >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16031554 (base 7) to base 9.\nAnswer: -2802654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*c**3*z**5 + c**3*z**2 - 88*c**3 - c**2*z**2 - 498*c*z - 13916*z**5 wrt z?\nAnswer: -600*c**3*z**2 - 834960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 28. Let v = -1 + 4. Let i = x + v. Solve -5*g = i*z - 0*g + 30, -3 = -z + 2*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15400 is divided by 223.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001978268 to 6 decimal places.\nAnswer: -0.001978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 6*m - 430. Calculate o(0).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*v**2 + 50*v**5 + 2*v**2 - 56*v**5 wrt v.\nAnswer: -360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13281*f = -13285*f + 36*h + 80, 0 = 5*f + 11*h + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*c - 1. Let w = c - 1. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in hours?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216000 and 29376.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -q + 3*d, -2*d = 5*q - 9*q - 12. Let y(c) = -c**2 - 12*c + 7. Give y(q).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 95*a**2 - 3 + 11*a**2 + a**3 - 19*a + 16*a**2.\nAnswer: a**3 + 122*a**2 - 19*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68076 + 2995077\/44. Let d = x - -9\/11. Calculate the common denominator of 49\/2 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18308522 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5168244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/23555045?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13c - -2eb2?\nAnswer: 2d76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5700 = -137*r + 528 + 386 - 723 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1255751235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 6:34 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8881*a**3 - 14646.\nAnswer: -26643*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9466*w**2 + 9*w + 7. Let n be y(-6). Let x(d) = 284956*d + 25. Let s be x(-16). Let f = s - n. Round f to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/8)\/p**(-2\/7))\/(p*p**(-2\/5))**(-3\/11) assuming p is positive.\nAnswer: p**(1769\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5747 (b) -74 (c) 1\/3 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 182, 180, 178, 176, 174?\n\"Answer: -2*p + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178288719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((4 - 2) + -3)\/(3\/(-9)) and 14 + -8 + 4 + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3 = -5*y, 3*y - 5*y + 2 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 995*b**4 - 448*b + 1333490 wrt b.\nAnswer: 3980*b**3 - 448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1*sqrt(66) + sqrt(66))*-2 + -6*(sqrt(66)*2 - sqrt(66)) + sqrt(66))\/(sqrt(150)*-3*3) + 4.\nAnswer: sqrt(11)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + f + 16 = 0, -4529575*f + 111 = 4*t - 4529580*f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380, -321, -234, -125, 0?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.3, 39\/5, 3.73, -0.3, 1\/5, -2?\nAnswer: 3.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11473 - 4964. What is the thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 179210 and 246395829?\nAnswer: 2463958290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2481\/15247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1202\/7 + 172. Let i = -328\/161 - -60\/23. Sort i, 3\/5, 3, u in decreasing order.\nAnswer: 3, 3\/5, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 - 1 = 0. Suppose 245 - 1033 = -2*d. Suppose 3*k - 5*z = d, 0 = k + y*z - z - 113. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(o*o**(-4))))**(7\/3)*o**3*o**8\/o)**(-1) assuming o is positive.\nAnswer: o**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d - 138410 + 138410.\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91.8999567 - 91.9. What is x rounded to six decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4598*t = -4638*t + 880 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 6. Let q be r(5). Suppose i + 2*i = 2*d - 9, i = -4*d + q. Let j = d - 3. Which is greater: j or -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/18582 and -5\/346864.\nAnswer: 1040592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**5 + 15*s**4 - 27*s**3 - 159*s**2 + 24*s + 144 = 0. What is s?\nAnswer: -4, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2727 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 0*r + 0*r**2 - 50 + 13*r**4 - 52\/3*r**3. What is the third derivative of z(p) wrt p?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.7, -45, -1, -6\/5?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -151*p + 15*p**3 + 154*p - 5*p**3 - 2*p**2 + 32*p**4 in the form u + d*p**3 + t*p**4 + y*p**2 + i*p and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 14*z**2 - 2*z - 6. Let b(k) = -k**2 + 4*k + 7. Let v be b(-3). Let a be h(v). What is the highest common divisor of a and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*1 + 2)*-3 + 0.\nAnswer: -24*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxggggggxxggxg. What is prob of sequence xx?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 8. Let x be f(-7). Let i(s) = -32*s**3 - s. Is i(x) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12362730 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 3*u + 20 - 4*u - 119.\nAnswer: 2*u - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f - 2. Let t = 168 - 106. Let x = t + -10. Calculate the remainder when x is divided by i(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*p + 135*p - 17 - 23*p)*(0 + 1 + 4).\nAnswer: 470*p - 85","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -17\/420*f**7 - 1\/168*f**8 + 0*f + 5\/12*f**4 + 1\/3*f**3 + 45*f**2 + 13\/120*f**5 + 1 - 1\/15*f**6. Solve d(x) = 0 for x.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(209) + (sqrt(209) - -2*sqrt(209))) - sqrt(209))*6)\/(3*(sqrt(11) + sqrt(11) + -1*sqrt(11)*-1)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -7, -3, 23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*f + 39. What is the remainder when 12 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 7*d**2 - 7*d + 7. Let w be s(6). Let h(v) = 10*v**2 - 1. Give h(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 0.7. Let h be 1 + -1*(-6)\/(-2). Sort -0.2, g, h in ascending order.\nAnswer: h, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98\/11 + 644\/55. Let n = 1743 + -1748. What is the third smallest value in 5, f, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.10743, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(5)*-2*2)**2 - (sqrt(75)\/sqrt(5) - sqrt(15))\/sqrt(3))*-4.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 256356.\nAnswer: 1025424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) - sqrt(204)*-2)*2)\/sqrt(12) + sqrt(170)\/(sqrt(160)*6) + 4)**2.\nAnswer: 145*sqrt(17)\/3 + 366641\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 + 2*b + 3. Let m be i(2). Let o = 43 - m. Sort -4, o, 3, -1 in increasing order.\nAnswer: -4, -1, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4092 is divided by 308.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-16) - 165\/(-88))*((-475)\/30)\/(-19).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -86873001375 - -0.07\nAnswer: -86873001374.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/(-144)*26224\/447.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3*i - 15, f + 0*i - 14 = -4*i. Let a be (373\/2)\/(f\/12). Is 4\/6*a\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*s + 7. Solve 6 = -2*h + 4*v, s*h + 3*h + v = 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -751 - -879. What is the greatest common divisor of n and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(500) + 1)**2*1 - (sqrt(500) + sqrt(500) + (sqrt(500)*1)**2 + -2))*-1 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 4*t - 18, 0 = -5*n - 2*t - 24 + 8. Let p = 3 - -2. Suppose -3*s + 7*s + 5*k + 8 = 0, -k - 10 = p*s. Is s greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4843?\nAnswer: 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54.3 + -23.6. Let c = y - -82. Let k = -4.241 + c. Round k to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -218.4 + 118. Round h to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1102513 divided by 2\nAnswer: -1102513\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:34 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 35834*z**2 - 4*z - 35833*z**2 - 3 + 1. Give p(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5208*h - 2854*h + 10474*h as y*h + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.1 (b) 2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -68617259 to the nearest ten thousand.\nAnswer: -68620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734*x - 704*x + 390 = 0 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/10 - (20 - 27)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -y - 509. Let l = -366 - y. Let q = 24 - 22. Solve -q*v - 5*j = -6 - 0, 0 = l*j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 5*k**2 + 6*k + 6. Let f be o(6). Let a be ((-666)\/(-228) + -3)\/(f\/8). What is the closest to 1 in 0.03, 3, a?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -6*f - 4. Let i(a) = -9*a - 6. Let h(u) = 5*i(u) - 7*y(u). Let l be h(1). Which is greater: -6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 912680 to the nearest ten thousand.\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(44)\/sqrt(4) - sqrt(11))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-4))\/((-10)\/240*6*-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 + (58 - -2) + 25.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 341 - 241. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 - d**4 + 0*d**4 + (d**3 - 2*d**3 + 3*d**3)*(6389 - 6389 - 585*d).\nAnswer: -1173*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(2\/29)*r**(-6))**(-3\/19) assuming r is positive.\nAnswer: r**(354\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = n - 20. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + o + 4*o)*(3*o - 3*o + o + (0 - 2 + 4)*(1 + 2*o - 1) - 53*o + 16*o + 11 + 28*o) + 4*o**2 + 0*o**2 - 3*o**2.\nAnswer: 5*o**2 - 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {f: 4, i: 16}.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/23 or 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q + 128. Let v be j(-21). Suppose -2*t = 5*h - 19 - 1, 5*t - v = h. Solve -h*c - 4 = -0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3320*l + 6502. Is 25 a factor of h(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*o = 116*o + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -105458 or -105459?\nAnswer: -105458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -33. Let i = 69 + l. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-16))\/(16\/64).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 7)*(8*t**5 + 4*t**5 - 3*t**5) + (-t**2 - 1 + 1)*(0*t**2 - 2*t**3 + 0*t**2) - 733*t + 733*t - 223*t**5.\nAnswer: -239*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyjyyjy. What is prob of picking 1 y and 1 j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2. Let a(m) = -7*m - 3. Let h(f) = 180*f + 125. Let i(b) = -20*b - 14. Let l(g) = -4*h(g) - 35*i(g). Let v(c) = -10*a(c) + 3*l(c). Give v(z(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885326236 to the power of 1\/2, to the nearest integer?\nAnswer: 43420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + (sqrt(40)\/sqrt(5) + sqrt(8))**2).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3088, 12326, 27760, 49396, 77240, 111298?\nAnswer: 151576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -719*n + 5073. Calculate y(7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3 - 2 = -u, -2*u + 1 = 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*5)\/sqrt(12) - (2*sqrt(44))\/sqrt(4).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 8*r + 1 - 15*r + 11*r. Let b be z(2). Suppose -12*d + 90 = -b*d. Calculate the greatest common divisor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1557 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from kppkkfskkskppfs.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 34212?\nAnswer: 5\/11404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r - 1. Suppose 15 = 5*d - 10. Let i = d - 3. Suppose -w - w = -i. Calculate l(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 9*p**2 - 160*p + 275. Calculate a(17).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485*f = -2119325 + 2064520 for f.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/9)\/(2\/(-3)). Let h = p + 3. Let a = 11.7 - 12. Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u = -8*u + 2*a - 5, -u - 5 = -a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 134. Let z be d(8). Suppose 3*n = n + z. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*sqrt(3520))\/(sqrt(320)*-2))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25086 or 25087?\nAnswer: 25087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*j - 11*j + 6*j**3)*(-12 - 6 + 344 + (0 + 1 + 1)*(-2 + 5 - 1) + 4 - 3 - 3) as i*j**3 + s*j + c + f*j**2 and give i.\nAnswer: 1968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -2*o. Suppose o*g = -2*g + 6. Suppose -4*n = 5*y - 524 + 138, g*y + n = 233. Calculate the greatest common divisor of 26 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/5 (b) -3 (c) 2223 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 51 = 7. Calculate the least common multiple of f and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503.0767 centimeters in kilometers?\nAnswer: 0.005030767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 - 3*k**5 + k**5 - 4*k**2 + k**5 + 4*k**2 + (-k**3 + 3*k**3 - k**3)*(-2*k**2 - k**2 + k**2) - 20*k**5 - 50*k**5 + 15*k**5 + 1.\nAnswer: -57*k**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 14*s + 83 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42, -224, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 i when three letters picked without replacement from sitbimst?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*g - 14 = 0, 5*g = 2*c + 2*c - 31. Suppose 969 = m + 2*o, 16*m - 20*m + 3864 = c*o. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3213 + 0.0213. Which is the nearest to 0? (a) 1 (b) -0.06 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*a - g - 24, 2*a - 6 = 4*g. Suppose -4*j - b + 1 + 11 = 0, 2*b - 15 = -a*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1455 or -7277\/5?\nAnswer: -7277\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43770 divided by 1923.\nAnswer: 14590\/641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 159 + 137 - 90 - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4)*0 - -9. Let t(g) = 2*g + 6 + 1 + g - a. What are the prime factors of t(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(26\/3))\/y**21)\/((y\/(y**(-19)\/y))\/y)**(1\/23) assuming y is positive.\nAnswer: y**(-2038\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 8475, -5, 13, 1.\nAnswer: -9, -5, -3, 1, 13, 8475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*(-46)\/92?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 28 - (18 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-128)\/24 - (-2)\/(-3). Let g be (-16)\/42 + (-4)\/v. Let j = 9\/4 + -53\/20. Sort j, 0.5, g in ascending order.\nAnswer: j, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*c - 4. Let o(n) = -2*n - 5. Let s be o(-6). Factor -5*i**c + i**2 - 15 + 15 + s*i**3 - 3*i.\nAnswer: -i*(i - 1)**2*(5*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 - 293*o. Let y(s) = 1527*s. Give y(b(i)).\nAnswer: -4581*i**2 - 447411*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(-1*sqrt(245)*-1 + -5)**2.\nAnswer: -210*sqrt(5) + 812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 186*v**2 - 224*v wrt v.\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*k**3*x**2 - 3*k**3*x*y + 11*k**3 - 2*k**2*x*y + 5*x**2*y - x wrt y?\nAnswer: -3*k**3*x - 2*k**2*x + 5*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, l: 2}. Give prob of sequence uuu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/348 and 2283\/218 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5.2 (b) -1 (c) -1\/3 (d) 304\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*y - 4 = -0*j, 1006*y - 1010*y - 52 = 3*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.5 + 9. Let g = l - -2.5. Let x = -0.18 - -0.25. What is the third smallest value in g, x, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in -2\/13, -0.5, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*v + 16 + 5 = 0, -12 = -4*v. Suppose p + 11 = 5*o, -3*o + 2 = -o + 2*p. Calculate the highest common divisor of g and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 125359*d + 522148 wrt d.\nAnswer: 125359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3633 + 3583. Which is the nearest to -2? (a) m (b) -3\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 8*p**2 - 3*p - 9. Suppose -5*z = -0*z - 70. Suppose z + 0 = 7*n. Let g(y) = y**3 + 7*y**2 + 4*y + 8. Let d(x) = n*b(x) + 3*g(x). Give d(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s. Let i = -9688 + 9691. Let k(w) = 4*w - 1. Calculate i*k(o) - 3*p(o).\nAnswer: 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-4 + (-1 - 1) + 1 - -5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*z + 22*z = -1296. What is the remainder when z is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111815337.\nAnswer: 3, 37271779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-19 - -19) + -30)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1263376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 5*l + 31 - 33, -4*l + t = -12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 - 139\/2. Let w = z + -201\/14. Is 1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7987, 2, -3.\nAnswer: -3, 2, 7987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 22. Let b = q + -17. Suppose 351 = 3*w + 3*k, -3*w + b*k = -2*w - 121. What is the remainder when w is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 16 + 6 - 503*i + 1 in the form t + l*i and give l.\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -847345*w. Let m(d) = 31*d - 2. Give m(z(x)).\nAnswer: -26267695*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8275652 by 29876.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 96178220857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 144*z + 3*z**2 + 1 - 8*z**2 - 137*z + 4*z**2. Give h(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 8*q - 20, 5*c - 3234*q = -3228*q + 56 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 4*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*58*3*(-5)\/15. Let j be (-16)\/(12\/m*(-6)\/3150). Round j to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - m = -21, 4*v - 60 = 2*m + 48. Let p = v - 26. Which is the nearest to 3? (a) 5 (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 7*i**4)*(-4 + 1 - 4)*(2 + i - 4 + 4*i).\nAnswer: 245*i**5 - 98*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -620*z + 140. Let a(v) = -207*v + 52. What is 8*a(k) - 3*d(k)?\nAnswer: 204*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*g**2 + 2*g + 8240 - 8240.\nAnswer: 84*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - h = 21426, 4*u + 5*h + 4368 - 32974 = 0. List the prime factors of u.\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111010110101100 + -1101100?\nAnswer: 101111010101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 147\/2 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3191*v**2. Let u(k) = 2*k**2. Determine u(c(p)).\nAnswer: 20364962*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 0)*-1 + (-18)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 132383 - -5?\nAnswer: 132388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308 and 624679.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 6*k**2 - 6*k - 2. Let z be i(7). Suppose -z*r + 4 = -6. Suppose r + 9 = p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - 7*f - f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 7*r - 6. Suppose 0 = 5*n - 0*n - 25. List the prime factors of k(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - (-150)\/(-20))*(-3)\/(6\/44). Solve 4*o + y + 1 + 17 = 0, -o + 3*y = v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + (sqrt(117) - ((sqrt(117) + 3)*-2 + sqrt(117)))))**2.\nAnswer: 24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3654855587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 2*p + 4476. Let s = p - -2015. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649163361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 502 - 156. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-350)\/(-250)*5\/(-1*1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13264*h**3*v**3 - 29*h**3*v + 2*h**3 + 17*h**2*v wrt v.\nAnswer: -79584*h**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 13. Let d be (-1012)\/33 - 1\/f. Let u = d - -92\/3. Sort -3, 3, u in descending order.\nAnswer: 3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119\/(-68)*-3*(-2)\/(-21).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18751.17 litres to millilitres.\nAnswer: 18751170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717298645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/1260)\/(8\/(-70))*2?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 5:39 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-2)\/(-4)*2). Suppose 5*f - p - 159 = 0. Is 32 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 799519665?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5054 and 308.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10100000000111100101001101001?\nAnswer: 10100000000111100101001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 281*a**6 + 217*a**2 wrt a.\nAnswer: 33720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*c**4*l**2 - 2*c**4 + 2*c**3*l + 8*c**2*l**2 - 5*c*l**2 wrt c?\nAnswer: -672*c*l**2 - 48*c + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) + sqrt(324) + (sqrt(324) - (sqrt(324) - sqrt(324)*2)*3))\/(-5*(sqrt(1728) - (sqrt(1728) - 1*sqrt(1728))))*3.\nAnswer: -9*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7355*m + 191090. Give c(-26).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.54 and -2.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 15, 20, 17, 0?\n\"Answer: -p**3 + 5*p**2 - p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591743 is divided by 203.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.1 - 11.5. Let k = h - -4.49. What is the closest to 2\/11 in 3, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-20))\/((-1)\/(-16)). Let r(b) = 5*b**2 + 10*b + 4. Let x be r(-2). Suppose -j + x*l + k = -4, 12 = -3*j - 4*l. Solve 2*s - 3 - 7 = j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 - 3) - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1724*l - 157*l - 974*l + 495*l in the form a + x*l and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-54)*4)\/(236\/(-531))*-16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + 44 + 46)*(86*f - 86*f + f**5 + 5*f**4).\nAnswer: 127*f**5 + 635*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 108*r - 25. Let z be f(4). Let x be (-74)\/z + -8*(-14)\/11. Let n be (x\/6)\/(3 - (-8)\/(-3)). Put -1, -5, n in decreasing order.\nAnswer: n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/((i**(-4)*i)\/i*i))**(-11)*i*(i**(-14)*i)\/i*(i\/(i*i*i**(2\/15)))\/i)**28)**8 assuming i is positive.\nAnswer: i**(-235648\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*((-644)\/(-210))\/23. Is z less than or equal to 3837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 46 = 6*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98104692 to the nearest integer?\nAnswer: 9905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 - 45 - 10 + 18)*(-80*g - 118*g - 29*g) as l*g + b and give l.\nAnswer: 12939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -0.3, -47?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6 + 59 + -7 - (7 + -1) is divided by 40.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*c = -34, -2*c + c + 74 = -5*k. Let j be k\/(-35) - 46\/(-10). Suppose j*v = 3*v + 2. Solve v = -x + 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2506?\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*-1)\/sqrt(6))**2 + (0 + sqrt(3))*-5.\nAnswer: -5*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137\/3 + 46. Let l be (-12)\/(-15) + 33\/(-10). Let c = -2 - l. Put c, 0.3, s in ascending order.\nAnswer: 0.3, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -8*v, -2*g - 20 = 2488*v - 2491*v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 + 3*o + 2. Let x(y) = 12*y**2 - 13*y - 7. What is -9*w(t) - 2*x(t)?\nAnswer: 3*t**2 - t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sppppspppppspspppspp. Give prob of sequence sp.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1165, -2354, -3561, -4786, -6029?\nAnswer: -7290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5714*l**4 + 2768 wrt l?\nAnswer: 22856*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311187430?\nAnswer: 2, 5, 31118743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187052 is divided by 224.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 1\/132*a**4 - 1\/66*a**3 + 15*a**2 + 0*a + 0 - 1\/660*a**5. Factor g(j).\nAnswer: -(j - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11321023 + 0?\nAnswer: 11321023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3364938080 to the nearest 100000.\nAnswer: 3364900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**5\/5 - 564*n**2 + n. Let p(q) = -38*q**2. Determine p(g(i)).\nAnswer: -5472*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(4 + -12)*8\/((-896)\/(-609)). Which is smaller: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1441 in -5, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71908?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1) + 1 - 1. Let v = 736\/5 + -147. Put z, 0, v in ascending order.\nAnswer: 0, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j - p - 1 = 0, -5*p - 5 = 5*j. Suppose j*t + 68 = 3*d - t, 0 = 2*d + t - 42. Suppose 8 = 3*s - s. What is the lowest common multiple of s and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -25308 and -25308 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - ((7 - -12 - 15) + -11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 144*f**2 - 235*f - 13035. What is t(-143)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/6 and 151\/4614.\nAnswer: 4614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 25*u + 26*u - 3, l + 25 - 26 = -3*u - u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*(1 - 10\/2). Let k = -66433\/4 - -16607. What is the common denominator of (2\/n)\/((-1)\/(-234)) and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0143206 rounded to five decimal places?\nAnswer: 0.01432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121\/2178*(-3)\/(-2).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9402743.\nAnswer: 7, 71, 18919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - j = -5*r + 20, -3*j - 2 = 2*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44\/3 - (-6)\/(-9). Let s = 4 - -4. Let j = h - s. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1214 = 2*n + 195, -3*n = 2*a - 1532. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2972.572 + 0.5\nAnswer: -2972.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = 60. Let a be (24\/j)\/((-6)\/15). Solve -a*g - 15 = -7*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -77, -72, -67?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 + 55*y**3 + 2*y - 122 - 29 + 17*y**3 - 71*y**3.\nAnswer: y**3 + 2*y - 304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 623 (c) 9\/4 (d) 1\/40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 121029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*y**6 - 2*y**5 - 18685*y**3 + 166731*y**2.\nAnswer: 10080*y**3 - 120*y**2 - 112110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 take away -10549.7?\nAnswer: 10756.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7782055 kilometers in nanometers?\nAnswer: 778205500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + n - 2*n - 16, -4*n - 19 = -p. Let g be 0 + 90\/(-12)*-8. What is the greatest common divisor of g and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4)*384\/(-352))\/(12\/(-8))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(117) + 0 + sqrt(117)) + (sqrt(117) - (sqrt(117) - (sqrt(117) + -1 + sqrt(117) + 4) - sqrt(117))))*-3.\nAnswer: -9*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v - 3*v**2 - 164*v**3 + 6*v**4 + 162*v**3 - v**4 + v**2 as d + x*v**4 + w*v**2 + t*v + o*v**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -132*i**3 - 13*i - 13. Is 33 a factor of o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.43 + -27.4300029489. Round c to seven dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2335 - 14552 - 6351 = -844*z for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 45\/2*s**2 + 19*s + 5. Is h(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-35)*505*1. Suppose -3*w + t = l, 3*w + 2*l - 13 = 184. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23223 - 123?\nAnswer: -23346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 293, 0, 0.2, 1\/3, 4 in decreasing order.\nAnswer: 293, 4, 1\/3, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 299*u - 3*u**2 + 2*u**2 + 60*u**4 + 0*u**2 + u**2 wrt u.\nAnswer: 720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p + 6 = 2*b, 0 = -4*b. Let d = 19 - 7. Suppose 4*z + 4 = 5*n, p*n - 3*n + 4*z = d. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine sixteenths of a kilometer?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5 - 272*a**4*d**2 - 2*a**2 - 63*a*d**2 - 25*a*d wrt a.\nAnswer: 40*a**3 - 3264*a**2*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(2*t**4 - 2*t**4 + 4*t**5) + 18*t**5 + 24 - 24.\nAnswer: 26*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 995, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 8. Suppose -21 - 24 = -45*d. Let q(o) = o - 1. Determine d*p(s) + 6*q(s).\nAnswer: 8*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v = -60. Suppose -5*c + v = 3*p, 4*p - 2*c - 20 = -0*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 1. Let p be j(3). Suppose o = 2*o + p. Suppose 3*q = -2*q. Which is the biggest value? (a) o (b) q (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 18, k: 2}. Give prob of sequence kk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 8. Let m be b(2). What is the third derivative of -20*u**6 - m*u**2 - 6*u**6 + 17*u**2 + 7*u**2 wrt u?\nAnswer: -3120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -2)\/(-1) - -1. Let k = d - 0. Let f be (k + -2)\/((-6)\/16). Solve f*s - 3*s = -15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5313 and 0.25.\nAnswer: -1328.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 1.\nAnswer: -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -127 and -1015\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1252*d + 3. Let h(b) = -2*b. What is i(h(l))?\nAnswer: 2504*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1 - 5 + 4 + 2 + 164*x. Let f be p(2). Let o be f\/(-4) + (-3)\/(-6). What is o rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m - 2. Solve -5*w + 25 = -o, -4*w + m + 16 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 12:39 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 275, 879, 1885, 3293, 5103?\nAnswer: 7315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -516963 > -516964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -15\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-4))\/(-1*1). What is the highest common factor of y and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + r = 6, -3*n - 3*r + 6 = -6*n. Let c = n + -1. Let m be 1\/(c\/9) - -6. Solve m = -z - 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = s - 5*v, 5*s = 3*v + 130 - 394. What is the common denominator of (13\/4)\/13 - s\/4 and -107\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 10 + 10 + 9 - 43 - 8*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390 divided by 6.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-337882654)\/(-1692) - 68\/(-153) - -5. Let y = k - 199700. Calculate the common denominator of -77\/12 and y.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 9) to base 10.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h - 7. Let j(d) = -8*d - 1. Let c(i) = i. Let y(u) = -6*c(u) - j(u). Let n(r) = -f(r) - 6*y(r). Let p = -26 - -25. Calculate n(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -131, -128, -123?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -y - 4, 17*n = y + 20*n + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10143224044 (base 5) to base 16\nAnswer: -a09401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 6*m - 6*m - m + 13*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/912*(-136)\/170.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5*18\/(-15) - -9) + 1. Solve -3 = -x - w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-214)\/(-856))\/(3\/(-8))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.1, 3, -0.3, -835, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19728\/34524)\/((-4)\/511).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-1))\/((-35)\/(-20)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -293 + 299. Which is the second biggest value? (a) q (b) 2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b + 4. Let t be s(0). Suppose -t*k = -1804 - 72. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v = -5. Let s = v + 2. Find the second derivative of 3*b**s + 4*b**3 - 2*b + 4*b - 5*b**3 wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 7 = 4*x + b, -3*b + 6 = 0. Let i be -2*2\/(-4) - -3. Let p(m) = -i + m - 7*m + m + 6*m. Determine p(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -58276*f**2 + 4*f - 3. Let r(g) = -g. What is o(r(v))?\nAnswer: -58276*v**2 - 4*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46986 + 82765. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n**4 + 5*n**3 - 17*n**2 + n. Let m(y) = 13*y**4 - 5*y**3 + 18*y**2 - 2*y. Let r(v) = 2*a(v) + 3*m(v). Find the third derivative of r(i) wrt i.\nAnswer: 312*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 - 0.41. Which is the second smallest value? (a) -3 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11929555.\nAnswer: 5, 11, 216901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -c - 2*q, 0*c - 106 = -4*c + 3*q. What is the least common multiple of 2 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001210012121120120 - -2?\nAnswer: -10001210012121120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5453*v + 70 = 5460*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(720)*-3)**2 + ((3*(-3 + sqrt(500)))**2 - sqrt(500)) + sqrt(500).\nAnswer: -180*sqrt(5) + 11086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 + 431*p**2\/2 + 2559*p\/4 - 7731\/2.\nAnswer: (p - 3)*(p + 6)*(p + 859)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 449838.6825 to the nearest one thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2, 26 in descending order.\nAnswer: 26, 19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -232217, 5, 8 in ascending order.\nAnswer: -232217, -3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 682*i - 2*i**3 + i**3 - 1426*i + 671*i.\nAnswer: -4*i**3 - 73*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c + 3. Suppose -6*v = -3*v + 6. Let n(h) = h - 2. Let t(k) = v*m(k) + n(k). Let r(i) = -i**2. What is r(t(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -0.1, -8, -4\/49, -7, 2\/19?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -8*z + 5. Let y = -2 + z. Let l = 1\/3 + y. What is the closest to 0.1 in 0.1, -0.5, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1944 - 1944.2. What is the second biggest value in v, 2, -0.24?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from qhyh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-13 + 12 - 12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 7913*n + 7912.\nAnswer: (n - 7912)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 3) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 35 = -37. Is 63927\/6*(n\/12 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 18.836448 months?\nAnswer: 0.001569704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -1\/12*o**4 - 7\/120*o**6 + 0*o + 1\/6*o**3 + 3*o**2 + 1\/30*o**5 + 0. Suppose -226 = -4*v - 3*v - 219. What is t(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-312 + 4040 - 1746)*(-c + c**2 + c) to s + g*c + d*c**2 and give d.\nAnswer: 1982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.012? (a) -6 (b) 1\/4 (c) -11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/9 - (0 + -1). Let h = 107 - 102. Which is the closest to w? (a) -1\/3 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 11, -66, -3, -1, -25 in decreasing order.\nAnswer: 11, -1, -3, -8, -25, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 114543260 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 12 = -j + 5*j, 2*j - 5*z = 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*12411.\nAnswer: -13652.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -101 - 2c8c29?\nAnswer: -2c8d2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55894568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 14*w. Let l = -43 + 63. Solve w*j + l = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 168736 - 25497. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Let m = 19 - 15. Suppose m*t = t. What is the nearest to t in f, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1725 = 30*k + 189*k + 126*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -1e15?\nAnswer: -1e14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/((-7)\/2) + 0. Suppose -v = v - 6. Suppose 2*u - 2*q + l = 54, v*u + 3*q - 78 = 0. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42627 * -0.4.\nAnswer: 17050.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/(1269\/(-318) + 4). Suppose -f = -12*p + 11402. Is p 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 -467*f**2 - 5*f + 28 wrt f?\nAnswer: -934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 63807589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: (((-360)\/980)\/((-6)\/56))\/(176\/(-616))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.2284 or -2\/5?\nAnswer: 1.2284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -192 - -1346\/7. Let d = 876.6 - 826.6. Is d < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3687 + 3688.3. Which is the nearest to 2.9? (a) i (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 20 = 10. Let z = 10 + s. Suppose z*t = 8*t. What is the third smallest value in t, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 228774 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -155170?\nAnswer: -155173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {t: 2, k: 2, r: 2, x: 1, c: 4, m: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 83272567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/5, -1\/17, -3\/13?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 5*i**2\/2 - 4*i + 35. Suppose -4*l + 16 = -4. Let g(c) = -6*c + 5. What is l*f(b) + 4*g(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 0.033, 3, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2388 - -2515. What is the remainder when 263 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 23. Suppose -5 = -z*p + 15. Suppose -p = -d + 23. Calculate the highest common divisor of d and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 4:16 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-19) + (-12988)\/(-29070)*-45.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-24)*(-47242)\/(-1027)\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 3*u**8\/2240 - u**7\/180 - u**4\/12 - 18*u. Let o(w) be the third derivative of x(w). Find the third derivative of o(c) wrt c.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1465532.\nAnswer: 3\/1465532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 8547754822647?\nAnswer: -8547754822624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1619 - -1619.1735. Round u to 3 decimal places.\nAnswer: 0.174","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -9. Let x(c) be the third derivative of 1\/6*c**j + 0 - 1\/4*c**4 - 1\/60*c**5 - 14*c**2 + 0*c. Determine x(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 11:35 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565664 is divided by 187813.\nAnswer: 2225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/3091 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9028709 + 2.902. What is f rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.5 (c) 0.057 (d) -2 (e) 26 (f) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 360*w**3 - 121*w**3 - 122*w**3 - 34*w**2 + 8*w**4 - 119*w**3 in the form k*w**4 + r*w + p*w**2 + f + q*w**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/12 and -1\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utprntrbtbtbtr. Give prob of picking 1 t, 1 r, and 1 n.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2. Let g(o) = 119*o. What is b(g(y))?\nAnswer: -28322*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/577640 and -163\/9240.\nAnswer: 19062120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 46715.8 to the nearest 100.\nAnswer: 46700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 6. Suppose -10 = -4*z - a, 4*a - y = -a. Factor 1\/4*k**4 - 1\/2*k + 0*k**3 - 3\/4*k**z + 0.\nAnswer: k*(k - 2)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*c + 6*c + 21*c + 7*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (-1 - -1)) + 5. Let g(i) = -11*i**2 + 8. Let o(k) = -4*k**2 + 3. Give t*o(y) - 3*g(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*k**2 + 0 + 47\/2*k.\nAnswer: -k*(k - 47)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000402016281 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -18. Let f = -6 - q. What are the prime factors of (-13)\/(39\/(-162)) - f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 41 = -36 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2 and -61\/504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2 - -2) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 779312.8ml to litres.\nAnswer: 779.3128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 11) in base 7?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 15 = -c + 2, -b = 2*c + 2. Let w = 1.08 + -0.08. Suppose -6 = -2*s + 5*s. What is the closest to s in b, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37619 + 17?\nAnswer: -37602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -165?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1388*h - 10614 = 490 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 327496363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t - 48 - 3*t + 6*t + 79. Let g be a(0). Suppose 30*o - 3 = g*o. Which is bigger: o or -22\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let b(o) = -3017*o**2. Calculate b(s(h)).\nAnswer: -3017*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 4*b - 12, -4*x + 45 = x - 5*b for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -846880*i**3 - 829828*i?\nAnswer: -5081280*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 55\/2205538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -23.9. Let c be (1\/((-15)\/(-6)))\/(-1). What is the smallest value in 3, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5086*r**2 + 11105*r - 33. Let n(o) = 15256*o**2 + 33317*o - 88. Let b(w) = -8*i(w) + 3*n(w). Find the second derivative of b(v) wrt v.\nAnswer: 10160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2. Suppose 2*i + z + 2 = 0, -11 + 15 = 4*i - 2*z. Let s(g) be the first derivative of 0*g - 4\/3*g**3 + i*g**2 + 8. What is s(v(n))?\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**12*(l**(-6)\/l)\/l)**(-2\/17) assuming l is positive.\nAnswer: l**(-8\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3\/5, 1, 2, 7 in decreasing order.\nAnswer: 7, 2, 1, 3\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, n: 3, e: 7}. What is prob of sequence ed?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, m: 6, j: 12}. Give prob of picking 4 j.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - (-33 - -26) - ((96 - 2) + 4)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6453306383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115 * -0.02.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*j - 106*j. Let x(g) = -g**3 - g**2 - 5*g + 49. What is the units digit of x(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8887 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 146074*t**3 - 115749*t**2 wrt t.\nAnswer: 876444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, r: 1, u: 1, i: 1, b: 5}. Give prob of sequence irb.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 568397*i + 14778327. What is l(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 210*v. Let u(q) be the second derivative of -5*q**3 + 2919*q. Determine 5*t(x) + 36*u(x).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**4\/12 - z**3\/2 - 5*z**2\/2 + 2*z. Let a be g(5). Suppose s + 244 = a*w, 0 = 5*w - w - s - 195. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 16*q + 17. Let n be l(9). Is (-4)\/n + (-318705)\/(-69) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -22*v**2 - 11336*v - 67226. What is g(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a + 2*a**2)*((2 + 1 - 2)*(7*a**3 + 13*a**2 - 13*a**2) + (4*a - a - 5*a)*(2*a**2 - 4*a**2 + 0*a**2)).\nAnswer: 22*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 106.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 + 152. Let u = -82 + o. Let b be (-91)\/u + 4\/6*1. Solve -j = b*w - 28, 2*j = 3*w + w - 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -23. Suppose 142 = -24*g + 46. Put 2, n, g, -1 in ascending order.\nAnswer: n, g, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2 + t - 17*t + 7*t. Let s = -31 + 44. Let x(g) = 4*g + 1. What is s*x(q) + 6*j(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -339 - 8?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (59 - 8)) + 33\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-350))\/(((-8)\/24)\/(14\/(-3)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -10 + 10 + -9 + 8.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4097*x = -301*x - 290268 for x.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 10:35 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = 4*g - 15*g. Let h be 108\/g - 2\/(-5). Suppose -h*t + 124 = -152. What is the highest common divisor of t and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 299*b - 109*b**2 - 119*b**2 - 299*b to a + q*b**2 + z*b and give q.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-257*n + 50*n - 118*n).\nAnswer: -325*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 336, 92, -318, -894, -1636?\n\"Answer: -83*p**2 + 5*p + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 144*m - 1396 - 1601 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(57)\/sqrt(3) + (sqrt(133) + -1*sqrt(133))\/sqrt(7).\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 11 = -f, -3*a + 41 = 4*f - 0*a. Calculate the remainder when 21 is divided by (-1 - (-3 + 4)) + f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q + 12 = 0. Let l be 3 + (-6)\/q*-2. What is the nearest to l in -1\/2, -4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*h**4\/11 - 3154*h**3\/11 - 8816*h**2\/11 + 34696*h\/11 - 9120\/11 = 0. What is h?\nAnswer: -5, 2\/7, 2, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 2:10 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 138\/8 - (-1)\/(-4). Let r = -2 + w. Calculate the remainder when 29 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300.745ns in milliseconds?\nAnswer: 0.003300745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d + 48. Let g be t(9). Solve 7 - 1 = -g*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.457105cm to nanometers.\nAnswer: 94571050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 2. Let x be i(3). Let p be (-19926)\/4 - 2\/x. Let m = -39797\/8 - p. Calculate the common denominator of m and -59\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = 48*t + 46*t - 29 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 327 - 215492779940.\nAnswer: -215492779613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7540588 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -22686, -1\/2, 3, -3\/4 in descending order.\nAnswer: 3, 1, -1\/2, -3\/4, -22686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22210, -22347, -22582, -22915?\n\"Answer: -49*t**2 + 10*t - 22171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34012.788 - 33949. Let c = g + -64. Let n = -0.2 - c. What is n rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**3\/6 - 11*d**2\/6 - 5*d = 0.\nAnswer: -6, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 19. Suppose 32 = -0*c + 5*c - 3*t, -3*t - i = c. What is the derivative of 10*f**2 - 10*f**2 - 3 - 3*f**c wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20672 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -48. Let j(h) be the first derivative of 3*h**2\/2 - h + 1. Determine j(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 8. Let a(w) = -w**3 + 6*w**2 + 9*w - 2. Let j be a(7). Let s = 25 - j. Let g = -21 + s. Let m(i) = -2*i**2 + 5. What is g*m(b) + 5*o(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.083 and 365.\nAnswer: 30.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72470374?\nAnswer: 2, 31, 1168877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - (4 + -47)) + (12 - -3).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.1. Let r be (-18)\/20 - 14\/(-35). Let w = -0.01 - 0.29. Which is the second smallest value? (a) w (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149835, -149831, -149825, -149817, -149807, -149795?\nAnswer: -149781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11410241020 (base 5) to base 8\nAnswer: 62775704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43696129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 0*j + 3*j + (-4*j - j + 4*j)*(1 - 5 + 2)*(-21 - 17 - 21).\nAnswer: -116*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24189 + 74565. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**0\/x)\/x)\/x)**(2\/35)*x**(-1)\/(x*x**(-5)*x*x) assuming x is positive.\nAnswer: x**(29\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/15983 and 14\/1453?\nAnswer: 15983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4)**(14\/9)\/(g**(18\/7)*g*g**(2\/29)) assuming g is positive.\nAnswer: g**(4717\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9305, 0, 1 in increasing order.\nAnswer: 0, 1, 9305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85) + sqrt(85)*-2)*3)\/sqrt(5)*4*1.\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*f + 1. List the prime factors of 87 - f - (3 - 1).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 3 - 2*h - 32 - 15 - 12.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 8908\nAnswer: 13\/8908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -631 + 785. Calculate the least common multiple of d and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-80) - 7935\/(-240). What is the third smallest value in g, 3, 1\/12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3 + (-3 + 2 + 3)*(4 + 0 + 0) + 6 - 1 + 6)*(-2*j - 5*j - 2 + j).\nAnswer: -108*j - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3505.3765 rounded to 0 dps?\nAnswer: -3505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/1*20\/(-40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - (sqrt(55) - sqrt(2695)))\/sqrt(11) - sqrt(80)*2)*-2.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyhyyyhyhyyyy. Give prob of sequence hyhy.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 255761 bigger than 255762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30124 is divided by 10031?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2048 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -666 - -742. What is the remainder when o is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1446 and 1150?\nAnswer: 166.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2737 + 2737 - 447*v.\nAnswer: -447*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 11:34 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*l**4*u - l**4 + 2*l**3*p**3 - 2*l**2 - 2*l*p**3*u - 6*l - p**3 wrt l?\nAnswer: -432*l*u - 24*l + 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 3471 + 2189 + 1822 - 3873 to h*d + l*d**2 + z and give z.\nAnswer: 3609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = 7*b - 1030. Let q = b + 260. Suppose -l + 4 = -3. What is the remainder when q is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.13 - 0.13. Let s = 4.95 - p. Let u = s - 1.95. Put u, 0.1, -1\/4 in decreasing order.\nAnswer: 0.1, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1334 + 164 = -106*j + 171*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 71*r + 725. Calculate x(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6742831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 157473.78 months?\nAnswer: 131.22815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 82160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1045*u**3 - 12*u**2 + 28*u - 16. What is y(1)?\nAnswer: 1045","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 84062 and -0.12?\nAnswer: -10087.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 630 and 144035766.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 42*q**2 + q - 2. Let d(y) = -2*y - 23. Let i be d(-12). Let f be v(i). Solve 5*o = -16 + f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2. Suppose 4*x - 20 = -0*v - 5*v, x = -4*v + 16. Let t be 0*(2\/(-2) + x). Let w(c) = 0*c + c + t*c. Calculate w(z(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 x when three letters picked without replacement from {x: 2, g: 9}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 135\/108*(-2)\/(-300)*12. Factor 6\/5 - a*n**2 - 1\/10*n.\nAnswer: -(n - 3)*(n + 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 307508 or 307498?\nAnswer: 307508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58117 - -58126. What is x in v + 121\/4*x**2 + 33*x = 0?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130*6.\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*c - 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + (0 - (2 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 16*t**3 - t**2 - 5*t + 7. Let u = 120 + -118. What is the hundreds digit of f(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 5*h + 25, 0 = -28*h + 29*h - 2*f + 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-152)\/57)\/(-4 - 4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0*c + 18*c**2 + 1\/24*c**4 + 3\/2*c**3 + 0. Calculate f(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozz when three letters picked without replacement from {d: 7, o: 2, z: 5}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 3:44 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -2*n - 2*i, -n - 5*i + 203 = 2*n. Let m = 11 - 18. Let d = m + 13. Calculate the greatest common factor of d and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/5214 and 67\/49240542.\nAnswer: 541645962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37190 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -914.2 + 914. Suppose -2 = -3*f + 1. Sort u, 3\/5, f, 11 in descending order.\nAnswer: 11, f, 3\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-125578)\/(-195730) + (-6)\/10. Is -1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9664 is divided by 1930.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/(((s\/(s\/(s*s\/s**4)))\/s*s)\/s))*s)**(-45)*s**(-3)\/(s\/(s**(-16)*s)))**(-3\/7) assuming s is positive.\nAnswer: s**(-348\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1619 to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4830*x - 3598322. Calculate r(745).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*k + 21*k - 38. Suppose 0*d + 40 = -4*w - 4*d, 0 = -2*w - 4*d - 12. Let s = k + w. 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 second derivative of -708*j**4 + 458614*j**3 + 35339150*j - 2 wrt j?\nAnswer: -8496*j**2 + 2751684*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -11*t + 16*t + z, 2*t = -3*z + 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(((-92)\/(-48))\/((-55)\/(-660)) - 43).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of s**3 + 264*s + 659 wrt s?\nAnswer: 3*s**2 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*n**3 + 11 - 11)*(-1 + 0 + 2) - n - 2*n**3 + n + 3*n**2 - n**3 - 3*n**2 - 3*n**3 + 0*n**3 + 5*n**3 + (-4*n + 3*n - 3*n)*(-3 - 2*n**2 + 3).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 17. Suppose 18*r = 13*r - 60. Is r <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 23*i - 123. Calculate f(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -679*h*w**3 + 4*h*w**2*z + 18655*h*w*z - 2*h*w + 22*w**3*z - 10*w*z wrt w.\nAnswer: -4074*h*w + 8*h*z + 132*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -11*d - 13 - 13 - 6*d + 0*d - d**2. Let k be h(-15). Let s be ((-16)\/k)\/4 + 4. Solve 0 = 5*v - 3*r - 15, v + 0*v - s = -r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*c, 11*h = 2*c + 10*h - 5. Solve 8*g = 5*g + 3*z, 0 = -c*g + 4*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 2*r. Let s(x) = 3*x**2 - 6*x + 4. Let a be s(r). Calculate the highest common factor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 greater than 4327777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 4. Let w = -463\/21 - -67\/3. What is the nearest to 0 in w, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7 = -8. Suppose i*r = 8*r - 30. What is the smallest common multiple of 20 and ((-72)\/(-21))\/(r\/35)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 - 28*s + 32. Let p be j(4). Let y(g) = g**3 + g**2 - 1. Let l(m) = -4*m**2 + 4. Give p*y(i) - 4*l(i).\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 5 - 7. Let w = h - -6. Suppose 3*n - 6 - 6 = -4*t, -5*t - w*n = -8. Solve -g + x = -5*g + 5, -5*g + 2*x - 10 = t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -153 + 201. Calculate the greatest common factor of l and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 276\/27 + (-6)\/27. Let j be 12\/w - (-18)\/(-30). Let m(a) = a**3 - 3*a**2 - 4*a + 1. Let f be m(4). Which is greater: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 128774*k + 72 - 135.\nAnswer: -128774*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 7*b**2 - b. Let s(v) = v**3 + 6*v**2 + v. Suppose -2*i + 25 - 11 = 0. What is i*s(k) + 6*w(k)?\nAnswer: k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 6*a + 29. Solve 3 = -2*l + a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -5 + 2 + -4 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -43*i**2 - 552*i - 1756. Give m(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 39 - 41 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 7:54 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 0, c + 4*u + 366 = 6*c. Suppose o + 6*o = c. Let p be ((-17)\/(-85))\/((-16)\/o). What is the second biggest value in 2\/9, p, -6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/15, 1\/7, 2\/17?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*n = 10. Suppose -8 = 10*x - 12*x. Solve n*c = -3*f - x, -c - 5*f - 4 = -2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uym when three letters picked without replacement from {u: 2, p: 2, m: 1, y: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1632*h + 3613*h + 2408*h + 2004*h.\nAnswer: 9657*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:04 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**6\/165 + 3*t**5\/55 - 4*t**4\/33 - 2*t**3\/11 + 7*t**2\/11 + 598*t. Let p(m) = 0. What is m?\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**4\/4 + 13*l**3\/3 + 17*l**2\/2 - 56*l - 2739. Calculate h(14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1721355800, 1721355798, 1721355796, 1721355794, 1721355792?\n\"Answer: -2*o + 1721355802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001594 rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5401*j**5 + j**4 - 4*j**3 - 921*j**2 - 4*j + 2 wrt j?\nAnswer: -324060*j**2 + 24*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2195203 divided by 589\nAnswer: -3727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -316784\/5 or 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 724*t - 696*t - 560 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2407 and -0.1.\nAnswer: -240.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 5*j**5 - 3*j**5 + (2 + 1 - 2)*(-3*j**5 + j**5 + j**5) + 22212*j**4 - 22212*j**4 - 36*j**5.\nAnswer: -35*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4\/4 + 68749*u**3\/4 - 206283*u**2 = 0.\nAnswer: -68761, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336) - 2*sqrt(336))\/sqrt(6))\/(sqrt(200)*6 - sqrt(200)) + 2.\nAnswer: -sqrt(7)\/25 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 41. Let t = 23 - f. Suppose -y - 3*z - 108 = -4*y, -124 = -4*y - z. What is the remainder when y is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 30801864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (5 + -2)) + (2 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 16 + 1. Suppose -2*a = 3*b + 3 - 9, 0 = j*b. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -a - 6. Suppose 8*w - 5*w = -18. Calculate the least common multiple of 2 and a\/45*w*10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 - 2342?\nAnswer: -2374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -16.1. Let s = b - 0.1. Let y = -245 - -243. What is the closest to -0.1 in y, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 7?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 14. Suppose 5*v - 2*v = 60. Let a = v - 11. Calculate the lowest common multiple of p(-6) and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111110000000100110111 - -11?\nAnswer: -101111110000000100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2058603 - 2058603 + 4*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.5, 0.4, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - -126. Suppose -28 = -z - 4*w, 0 = 4*w + 3 - 15. What is the highest common factor of z and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/64)\/(j*j\/j**(1\/33)))\/((j**(-8\/3)*j)\/(j*j**(5\/2))))**(-6\/11) assuming j is positive.\nAnswer: j**(-6785\/3872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/36*-2 - -1. Let v(q) = -q**3 + 8*q**2 + q - 6. Let s be v(8). Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -465780, -465781, -465780, -465777, -465772, -465765?\nAnswer: -465756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 768 = -10*o + 668. Let f = 30 - 2. What is the smallest common multiple of o*(2\/(-3) + 448\/(-120)) and f?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 785 and 17427?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 - 112. Let f = x + 53. Let h = -4 - f. Sort 0.1, h, 1\/3, 2\/3 in ascending order.\nAnswer: 0.1, 1\/3, 2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1225) - (sqrt(300) - (sqrt(300) - (2*sqrt(300) + sqrt(300))))\/sqrt(12))\/(((sqrt(125)*2)\/sqrt(5))\/sqrt(180)).\nAnswer: 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53*36440.\nAnswer: 1931320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 12*g**2 - 12*g - 1. Give x(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37, -308, -1045, -2482, -4853, -8392?\n\"Answer: -39*a**3 + a**2 - a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*z + 575341, 9*m + 1150680 = 13*m + 4*z. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y - 3*y - 4*y + (-2*y - 2*y + 5*y)*(2 - 4 + 0) - y + 0*y + 0*y to j + g*y and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4141971 + -4141971.4999994. Let t = h - -0.5. What is t rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 48628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 5*p - 2, 15*p - 18*p + 42 = -5*x + 6 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3417322505?\nAnswer: 5, 1109, 616289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19958*i**2 - 19963*i**2 + 39923*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -a?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38538944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38762678.\nAnswer: 2, 19381339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -94 + 87 + (-142)\/(-20). Which is the closest to 2? (a) -1\/9 (b) -2 (c) 1\/2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a + 5*j + 81, 3*j = 3*a - 87. Suppose 11 + 37 = u. Calculate the greatest common factor of u and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + a + 9 = -0*a, -5*s = 2*a - 15. Let y(z) = -3*z + 4. What is y(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -4d?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/52338 and -151\/59290?\nAnswer: 141050910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**4\/24 - 7*u**3\/6 - 76*u**2. Let d(w) = w. Determine d(v(i)).\nAnswer: -i - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -44184 < -44189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 101 - 143?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000033546 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmz when three letters picked without replacement from avhamamhazh?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32339?\nAnswer: 73, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**3 + 1212*u**2 - 244829*u + 16484816. Let h(p) = 4*p**3 - 606*p**2 + 122415*p - 8242408. Let v(r) = -5*h(r) - 3*j(r). Factor v(w).\nAnswer: (w - 202)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0 - 1 - b)*(-b**2 - 1 + 1).\nAnswer: b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(5200\/60))\/((-1)\/(2\/(-2))).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siio when four letters picked without replacement from ioooossisixoio?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.4098 and -410?\nAnswer: 1398.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from hxxl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 478021, 956042, 1434063, 1912084, 2390105?\nAnswer: 2868126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**2 - 8*t - 42. Let n(c) = -4*c**2 - 9*c - 41. Let i(v) = 3*g(v) - 4*n(v). Let r be i(-7). Solve -r*u - 8 = -u - 2*o, 0 = 5*u + 2*o + 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2192c (base 15) to base 14.\nAnswer: 2ac4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (2 + 7 + -11) - -11) + -39.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -526 + 5?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s - 6*s**2 + 7*s**2 - 2*s. Let u be h(11). Solve 4*q + u = 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -1. Suppose 0 = 3*n + 3 + 6. Let u be -8*((-5)\/q + n). Calculate the highest common divisor of 28 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a176 (base 11) in base 2?\nAnswer: -1010011100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 v, and 1 h when three letters picked without replacement from hmvhkvvvhhhhkmvhh.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -7299, -0.51, -1?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 803325 and 11.\nAnswer: 8836575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -2*q**2 + 2*q**2 + q**2 - 2 + 2*q**2. Let v(a) = a - 2. Let h(c) = -2*c + 2. Let z(f) = 3*h(f) + 3*v(f). Determine g(z(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-123 - -106) + 5 + 2 - -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 - 2. Suppose 0 = -4*i - i + 50. Let s be (-9)\/i*(-35)\/21. Which is the closest to 0? (a) s (b) t (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -225\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 13 = c + c, -5*c - 23 = 3*p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 + 3465*g**2 - 3465*g**2.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12022, -28156, -44290, -60424?\n\"Answer: -16134*i + 4112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -1622757?\nAnswer: -1622760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 63.2619 * -4.6\nAnswer: -291.00474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 733490 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 2*s - 5*p, 2*s - 13 = -2*p - 43. Let m(b) = -2*b**2 - 37*b + 20. Give m(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4951525677175 minus -1?\nAnswer: 4951525677176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1054 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6119*h*r**2 - 4795*h + 1 wrt r.\nAnswer: 12238*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-882)\/343)\/((-33)\/(-154)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 44. Let j = -19 + s. What are the prime factors of 164\/(-6)*(j - -5)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9274343*k**3 + 174*k - 6619 wrt k.\nAnswer: -55646058*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 135, 136, 137?\n\"Answer: v + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1367*b - 414. Let x be o(2). Is x <= -3145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1 (c) -6486 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -348, -2, 5 in descending order.\nAnswer: 5, -2, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/3 (b) 409\/4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - 9*i**5 + i**3 + (4*i + i**3 - 4*i + (-2*i + 3*i - 3*i)*(0*i**2 - i**2 + 2*i**2) - 4*i**3 - 3*i**3 + 3*i**3)*(-3*i**2 + i**2 - 2*i**2).\nAnswer: 11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*d = -95 + 3, 5*i + 2*d - 262 = 0. Does 27 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 5*z**2 + 3*z - 7. Determine h(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqyyqqrrryuyrrqyrr. Give prob of picking 2 r and 1 q.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 250\/(-350)*(-8)\/5?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 6 - 9 - 27. Solve -f*c = -0*j + j - 10, -c - 2*j = -2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 694404?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**4\/12 + 7*q**2\/2 - 8*q. Is 11 a factor of l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000100201 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297756828?\nAnswer: 2, 3, 19, 435317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5 + 10. Suppose -q*w = z - 9, -3*w = -5*z - 8*w + 45. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxxl when four letters picked without replacement from klllxlkxkkx?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-195)\/(-35) + (-15)\/(-35). Solve -l = 2*k + 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 8*c**2 - 3 + 10 + 3*c + 4*c. Let u be o(7). Suppose u*h = 2*h - 2*g + 1017, 0 = 3*h + 5*g - 614. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/14*(6 - 2). Let z be (-8)\/12 - ((-22)\/s - 0). Let b(m) = 327329*m + 13. Let k be b(z). Round k to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1967768*x. Let y(r) = r**2. What is y(c(o))?\nAnswer: 3872110901824*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, z: 3}. What is prob of picking 1 x and 3 z?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*j + 101*j - 400. What is the lowest common multiple of j and 45?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19322\/19 + -6880095\/6764. Let s = 3\/89 - r. Put s, 5, 6, 0 in ascending order.\nAnswer: 0, s, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 + 101111001100010001011100?\nAnswer: 101111001100010001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -158944958.8234 and 0.3.\nAnswer: -158944958.5234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/70 - 4112858\/(-456260).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 775968721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = n - 228, -5*n - 57 = -j - 1. What is the greatest common factor of 4849 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let y = 21 + -17. Solve i = -0*m + 4*m + y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -19. Let y = 10 + u. Solve 0 = 2*v + 4*o + 10, -1 = 5*v - 5*o + y*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 1 + p - 3*p. Let w be j(2). Suppose 4*u - w = 3. Let s(y) = -y**3 + y**2 - 1. Determine s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -20\/3. Which is the closest to -0.1? (a) v (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22860 and 900?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 3807775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from xrccrcaiacarsac.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {h: 4, q: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -55 + 76695a?\nAnswer: 766905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(17))**2 + 1) + ((5*((sqrt(136)*1 - sqrt(136)) + sqrt(136)))\/sqrt(8))**2 + 3*((sqrt(153) - -2*sqrt(153))*2)\/(sqrt(144)*4 + sqrt(9)).\nAnswer: 18*sqrt(17)\/17 + 563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/57 - 11\/19. Let q = 0 + -1. Which is the biggest value? (a) q (b) d (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 232350*o - 1 + 294373*o.\nAnswer: 526723*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*j**3 + 728697 - 728697 + 3*j**4 - 8*j**2 + j in the form t*j**3 + z*j**4 + s*j**2 + p*j + u and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 176334374 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2225465 by -202315.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwcw when four letters picked without replacement from {c: 2, p: 7, w: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2571943819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1011*o - 4861*o - 4690*o - 1091*o.\nAnswer: -9631*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6*(75\/2 - 3). Suppose -158 = -4*z - 486. Let d = u - z. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/1927 and 58\/369.\nAnswer: 17343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 + 771*h**2 + h**3 - 1 - 398*h**2 - 392*h**2 to d*h**2 + r + c*h**3 + x*h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47.2 - 45.2. Let f = 0.04 - 2.04. Put 0.6, v, f in increasing order.\nAnswer: f, 0.6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 36*f = 38*f - 38143, -25428 = 2*u - f. Is -12714 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**7\/1680 + x**6\/180 - x**5\/60 - 2*x**3\/3 + 4. Let f(i) be the third derivative of q(i). Factor f(u).\nAnswer: -u*(u - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1725.\nAnswer: -5175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*1)\/sqrt(6) + (sqrt(275) - sqrt(275)*-1)**2.\nAnswer: sqrt(11) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31192099 is divided by 111?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/220 and -5\/924?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0*c + 7*c**2 + 0 + 0*c**5 - 1\/12*c**6 + 7\/24*c**4 + 0*c**3. What is the second derivative of k(r) wrt r?\nAnswer: -60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*l + 35 = k, 5 = l. Suppose -2*d + 44 = 4*u - 0*u, 0 = -5*u - 4*d + 49. Let s = u + k. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*((-7)\/2 - -3). What is the remainder when 3\/(-4)*v + 27 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f - 27 = 32*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 - 17*j**3 + 80*j**2 - 64*j.\nAnswer: j*(j - 8)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 39, 57?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*m**2 - m**3 - 3*m**3 + 0*m**2 - 14*m**2 = 0. What is m?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 22890950?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 k when three letters picked without replacement from fffffffkkffkkffkffff?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 90\/180 + 61\/2. Suppose 3*j + 5*y = 58551, 33*j - i*j + 2*y = 39034. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 9*n**2 + 20*n + 30. Calculate d(-8).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n + n + 2*n)*(4*n**2 + 10 - 10) + 4*n**3 - 2*n**3 + 2*n**3 in the form w*n**3 + f*n**2 + o*n + b and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.9921, -3\/8, -1\/273?\nAnswer: -1\/273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 336874331?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 770406*x + 39298509.\nAnswer: -3*(x - 256853)*(x + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 8:18 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x - 2 - 1 + 4.\nAnswer: -14*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-13.4.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 - 58. What is the greatest common divisor of 72 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/31)*t*t\/t**(-15)*(t*t**(-8))**(-4\/21) assuming t is positive.\nAnswer: t**(1699\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -30 + 1 + 28 - 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*o - 730*o - 3*c = -365*o + 7, 4*c = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 578914 = 2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/3200 and -133\/4286880.\nAnswer: 85737600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + -0.37. Let v be 1371\/(-8) + 1 + -1. Let b = v + 171. Put b, o, 0.2 in ascending order.\nAnswer: o, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/7)\/(l**(-2\/7)*l))**(-25\/4) assuming l is positive.\nAnswer: l**(75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/166 and 97\/10?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((-39)\/(-26))*2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3332 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from {q: 1, x: 5, h: 3, o: 2, c: 8}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*sqrt(1700)*1 - (-3 + -1 + sqrt(1700))**2).\nAnswer: -1719 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**3*b**2 - a**3*b*f + 10691*a**3*f - a**2*b*f + 2*a**2*b + 1332*a*b**2 + 2*f wrt a.\nAnswer: 18*b**2 - 6*b*f + 64146*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/(6\/(-9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259 and 444?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101 + -11001100100?\nAnswer: -11010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 116, 4.\nAnswer: -13, 4, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**2\/4 - 75*f\/4 - 65\/2 = 0 for f.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 5, -0.1, 2\/3 in descending order.\nAnswer: 5, 2\/3, 3\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56666824, -56666822, -56666820?\n\"Answer: 2*l - 56666826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 2*j**5 + 25*j**4\/12 + 1013*j**3\/6 + 4*j - 305. Find the second derivative of x(r) wrt r.\nAnswer: 240*r + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -2\/5, 273, -4 in descending order.\nAnswer: 273, 3, -0.1, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*o + 4411 - 16115 = -129*o for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 0.12, 0.2, -113, -3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 16*p - 9. Let o be t(7). Which is smaller: 25 or o?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 1\/12*z**4 + 0 + 2*z**2 + 0*z**5 - 1\/60*z**6 + 0*z**3 + 0*z. What is the second derivative of b(f) wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -173 + -3?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30, 69, 108, 147?\n\"Answer: 39*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -59*r**3 - 8*r**2 - 65. Let s(p) = 29*p**3 + 4*p**2 + 32. Let k(o) = 6*h(o) + 11*s(o). Find the third derivative of k(f) wrt f.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 152 and 28?\nAnswer: 4256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5346 and 15356.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36480037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/((-2)\/232). Let i be x\/18 + 2\/(-9). Suppose 0*g = i*g - 33. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -117, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (25 - 18) + 3 + -10 + 4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - 75. Let y = b + 96. Is -4 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.056675 days in seconds?\nAnswer: 91296.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -9. Let k = 1233 + -1268. Let o be (-1)\/((-5)\/(k\/21)). Which is the smallest value? (a) 0 (b) o (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/3 + (-1)\/(-3). Let r = 1.17 + 0.33. Let z = -1.5 - r. Put -2\/7, z, d in increasing order.\nAnswer: d, z, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4496 = 313*b + 218*b - 1876 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 2*n + 10. Suppose -893*j - 216 = -902*j. Suppose -j*v - n = -25*v. Solve -3*h + v*y = 12, -y + 2 = -4*h - 3*y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54381 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**2\/2 + 2*u + 1. Let f be x(5). Let m be f*2\/2*1. What is the second biggest value in -0.2, 1\/5, m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 3*a**2 - 6*a + a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - 3*m - 4*m)*(m**3 + 3*m**3 + 0*m**3) - 1 + 1 + 3*m**4 + (-1 + 1 - 2)*(-2*m**4 + 2*m**4 - m**4).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 21*s - 17. Let o be p(1). What is the derivative of 3048*a**4 - 1522*a**4 - 1740*a**o - 77 wrt a?\nAnswer: -856*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*s**4 - 10947*s**2 + 22918777?\nAnswer: 68*s**3 - 21894*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 - 4*k - 9. Let a(v) = -4*v**2 - 3*v - 9. Let r(t) = -2*a(t) + 3*l(t). Let n be r(-6). Let c be (-3)\/n - 6\/(-9). Solve j - c = -3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -682*a**3 + 2*a**2 + 160.\nAnswer: -2046*a**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5053 in 2, 919, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557 is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -3. Let t be v - 12\/((-4)\/2). Solve -16 - 1 = -r + 3*m, -t*r + 5*m = -31 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.4 take away 0.5?\nAnswer: 129.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31505, 63007, 94497, 125969, 157417, 188835, 220217?\n\"Answer: -x**3 + 31509*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/2*(70\/15 - 6). Solve n*m = 9*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/19379553 and -95\/1970802.\nAnswer: 116277318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*b + 24 = -21, 5*f - 30 = 2*b. Suppose f = c + 2. Let h(q) = 2 - 11*q**c - 2 + 8*q**2. Let r(w) = -2*w. Give h(r(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651*l - 7715 = -26594 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7 + 9)*-2)\/10. Put 3, 3\/4, 2\/13, m in descending order.\nAnswer: 3, 3\/4, 2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711 = 53*q + 1983 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/5)\/(9\/420). Let s = -40 - o. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784427 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: Are -6405\/2326 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -5*g**4\/3 - g**3\/2 - 17*g**2\/2 + 58*g. Find the second derivative of m(u) wrt u.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 45, 173, 425, 843, 1469?\n\"Answer: 7*o**3 - o**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 2. Let a = 89 + -52. Calculate the remainder when a is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**38\/(t*t**(-4\/13))*(t*t*t**(5\/6))**(-21) assuming t is positive.\nAnswer: t**(-577\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 811254, 811219, 811184, 811149, 811114, 811079?\n\"Answer: -35*o + 811289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*y + 18*y + y**3 + 4*y**2 in the form o*y**2 + s*y**3 + d*y + l and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -894168 and -144.6283.\nAnswer: -894312.6283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus -0.119304?\nAnswer: -7.119304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2673))\/(-3*sqrt(44)))**2 + (sqrt(252)\/(sqrt(7) + sqrt(14)\/sqrt(2)) + sqrt(36))\/(sqrt(60)\/sqrt(80)) + 0.\nAnswer: 6*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**3 - 20*w**2 + 28*w - 12 = 0. What is w?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + (-4 - (1 - 1)))\/((-4)\/24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 3709.\nAnswer: -1\/3709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 159769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 68478760.\nAnswer: 68478760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 701572 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {f: 4, v: 12, c: 4}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*w - 1 + 2 = 0, 0 = 5*x + 3*w - 5. Suppose -72 = 3*s - x*s. Calculate the highest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/39 and -24\/7.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 9605*p**4 + 2*p**2 + p**3 - 4802*p**4 - 1 - 42*p - 4807*p**4 to n*p**3 + m*p**4 + l*p + x*p**2 + f and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 + (-77)\/(-14). Suppose -i - 5*t + 28 = i, 0 = -h*i - 5*t + 40. Determine a, given that -4 + 3*a**4 + 6*a**3 + 4 - 9*a**2 - i*a**4 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3\/(-45)*-6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -61db?\nAnswer: 61df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/9 and -10\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 - -48.1. What is the third biggest value in 0.3, c, -0.5, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118680625?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*2)\/((-86)\/(-4))*(-196)\/(-784)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1581 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(192) - sqrt(3))*4)**2.\nAnswer: 37632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -140 in -0.032, 0.34, 5?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ursszzrurcszzuc. What is prob of picking 1 u and 1 s?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-1)*-1*-2 - -4. Suppose 11*h - 13*h - 3*f - u = 0, 0 = 2*h + 2*f. Calculate the lowest common multiple of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/14)\/((-74)\/259)*-2. Solve -f = -l + 8, a*f - l + 29 = 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 11*a - 2 + a)*(3 - 6 + 1 + (3 - 2 - 2)*(-2 - 3 + 4) + 2 + 1 - 4 + 0 + 2 - 4) + (-2*a - 2 + 2)*(-1 + 2 - 2).\nAnswer: -22*a + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6583566.7924 - -6582091. Let y = u + 1474.4723897. Let r = y - -1.32. What is r rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**2 - 41*j + 57. What is the units digit of a(33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -739 greater than or equal to -739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*x - 16 + 1750 = 411 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -335*p**5 - 25484*p**3 + 15378818*p**2 + 2*p wrt p.\nAnswer: -20100*p**2 - 152904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -12*p**5 - 4*p**4 + 44*p**3 + 36*p**2 - 16*p - 16 = 0.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 629529687 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21428, 21365, 21308, 21257, 21212, 21173, 21140?\nAnswer: 21113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3169553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751350 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + g + 2. Let d be t(2). Let n = d - -5. What is the highest common divisor of 39 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -260, -268, -280, -296?\n\"Answer: -2*d**2 - 2*d - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 4*y + g, y - 44 + 7 = -5*g. What is the highest common factor of 369 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-6 - (6 + -8 + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(204)*-5 + sqrt(204)))\/(-3*sqrt(528)\/sqrt(11)).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16861 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/p*p)**(-43)*(p**(-6)\/p)\/p**(-4))**(24\/7) assuming p is positive.\nAnswer: p**(-1104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 394490 + -17?\nAnswer: 394473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3*j - 10 = 17, 711 - 687 = -4*f - 3*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 825109370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -339, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 0 - 2*j**2 - 4*j - 1\/3*j**3. Find the first derivative of t(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 + -103.4. Let m = -10.4 + -0.6. Let l = m + o. What is l rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*o - 95 = 0, 0 = 3*o + 7 + 8. What is the second derivative of 14*c**2 - 24*c**2 + m*c + 10*c**2 - 24*c**5 wrt c?\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4788 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4383174*m**3 - 4383183*m**3 + 8766371*m**3.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.7689129 * 0.7.\nAnswer: -8.93823903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 9*z - 18. Give d(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38376 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 22071996?\nAnswer: -11035998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -30\/379 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (1 - -1))\/1. Let o be (u\/(-3))\/(2 + -1). Suppose -2*w + 6*w - 12 = o. Solve 4 = v - i, -w*v + 13 = -5*i - 7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -2, 9 in descending order.\nAnswer: 9, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 957079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -4. Suppose 4*h - 5 = j. Let c = -12916.5 + 12916. Put c, 8, h, -5 in ascending order.\nAnswer: -5, c, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77 - 67) + (-3 - -5 - (0 - -2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 + -10 + -9 + 18 + 33)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 8*r**6\/15 + r**5\/30 - r**4\/12 + r**3\/6 + 7*r**2. Let m be n(1). Calculate the greatest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -39, -64, -89?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1230.7012 - -759.612. Let g = 0.0892 + s. Let i = 470.99507 + g. What is i rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*p + 110 = -56*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 941 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 182.21 and 9.\nAnswer: 191.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 28*o**2 + 67*o - 97. Is k(42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 500.7 - 501.1. Let q = -0.3 + 16.3. Let j = -14 + q. Which is the second smallest value? (a) p (b) j (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (230\/23)\/((-4)\/(-30)). Which is smaller: j or 82?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11811.\nAnswer: 3, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - u**2 - 1. Let j be h(-3). Let g = j - 40. Suppose -g*x + 360 = x. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -48. Suppose 0 = 8*x - 2*x - t. Solve -2*r + 5*r = x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 100 + -46c2?\nAnswer: -45c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -117*n + 2. Let s = -9 - -4. Let y be z(s). Suppose y - 117 = 5*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2000 + 6034. Let p = 1475129\/4 + -8657917\/24. Let f = p - v. Find the common denominator of 29\/8 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 108, 65, -44, -219, -460?\n\"Answer: -33*t**2 + 56*t + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.4 - 16.3. What is the nearest to -0.1 in -0.12, g, -4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1419)\/(-215) + (-4)\/(-10)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*sqrt(36)*2 + 2*sqrt(4356))\/((sqrt(96) + sqrt(96)*2 + sqrt(96))\/sqrt(8)*-5))**2.\nAnswer: 108\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -678 = 87*x + 26*x. Suppose 4*a + 0*a - 5 = -3*j, 5*a + 17 = 4*j. Sort j, 2, x in ascending order.\nAnswer: x, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-18)*((-24)\/10)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -4, -54, 4 in descending order.\nAnswer: 18, 4, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + r. Let z be a(0). Suppose -8*k + 9*k - 13 = z. Let g(l) = l + 20. Calculate the smallest common multiple of 18 and g(k).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-16608)*12\/18. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**2*o**3*w + 3368*i**2*o*w + 2*i**2 + 13*i*o**2 + 14*i*o*w - 2*i*w + 286*o**3 wrt i.\nAnswer: 8*o**3*w + 6736*o*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22910538 and -1?\nAnswer: -22910538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/t**(-33))*t*t)\/t**(-3\/8) assuming t is positive.\nAnswer: t**(-237\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -38242438.\nAnswer: 11472731.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) - 2\/(-6). Let z be 26\/169 + (-56)\/26. Let p be ((-14)\/56)\/((-5)\/z). Is p bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 + 16*s + 8*s + 29*s)*(26*s**2 + 30*s**2 - 23*s**2).\nAnswer: -33*s**5 + 1749*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 10.61. Let g = -0.11 - i. What is the second biggest value in -0.4, 0, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-189)\/(-4) - (-2)\/(-8). Calculate the greatest common divisor of 141 and a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2449.\nAnswer: 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 284.7115776954643 - -0.4\nAnswer: 285.1115776954643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + l - 4*l)*(7*l**2 + 5 - 5) + 275*l**3 + 170140 - 170140.\nAnswer: 268*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1720054 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 10, 0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -1. Let c = 0.671 - 0.071. Let d = j + c. Put -2\/7, 5, d in descending order.\nAnswer: 5, d, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -21*n + 18. Let a(m) = 2 + 6 - 3 - 6*m. What is -18*a(d) + 5*v(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2 + 73 + 4 - 83 - 49*m**2. Let f(a) = -16*a**2 - 3. Calculate 3*d(b) - 8*f(b).\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176 - -195) + -1*25.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333021.\nAnswer: 3, 13, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3 - 520*b**2 - 199511*b - 1752750 = 0?\nAnswer: -250, -9, 779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b - 14. Let z be 5*-3 - (40\/(-30))\/((-24)\/(-18)). Suppose r + 3*r + 12 = 0. Let q(u) = -u + 3. Give r*o(p) + z*q(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 28*t + 8. Let s be h(4). Suppose -2*i + s = i. Does 26 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ueuuweeueuu.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*z**2 - 42*z**3 - 8*z**3 + 27*z**2 - 14*z**3.\nAnswer: -64*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 11 = 4*z + 11, 4*z + 30*m + 17 = 27*m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 1\/6*f**3 - 1\/4*f**2 - f + 61. Suppose s(h) = 0. What is h?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Suppose -3*u - 4*i = u + 32, 0 = -n*u + 5*i + 5. Let k be 2\/6 + (-18)\/(-189). Which is the third biggest value? (a) k (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = w - 3*t, -t + 11 = 2*w + 2. Suppose w*l - 6 - 6 = 0. Let n(p) = -p**2 + 4*p + 2. Let j be n(l). Solve j*o - o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r + 26*r - 22*r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1930788 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/9276 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 0)*(5 - 1 - 1) + 0 - 4 + 3)*(-2*z**3 + 0*z**3 + z**3 + 2*z).\nAnswer: -2*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1060986 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-16))\/((-720)\/2592).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -382 - -2017. What is the highest common factor of v and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**8\/2940 + s**7\/1470 - 4*s**3 - 9. Let p(x) be the third derivative of u(x). Find w such that p(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 34*l**2 - 269*l - 304.\nAnswer: -(l - 19)*(l - 16)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 8 = -33. Suppose -3*n - 735 = -3*f, 4*n - 6*n - 1219 = -x*f. Calculate the remainder when f is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005625286 to 5 dps.\nAnswer: -0.00563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + 2 + sqrt(4050) + sqrt(5000) + (sqrt(5000) - sqrt(5000)*2) + sqrt(50))**2.\nAnswer: 220*sqrt(2) + 6054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 x when three letters picked without replacement from {y: 1, g: 1, f: 1, o: 1, x: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 7*m - 9. Let n be l(-6). Let x(b) = 10*b**2 + b + 50. Let i(g) = 9*g**2 + 2*g + 37. Let r(z) = 4*i(z) - 3*x(z). Is r(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 21873796?\nAnswer: 240611756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s**2 - 13*s**2 + 10*s**2 + (2*s + 3 - 3)*(6*s + 244 - 244)*(2 + 3 - 7) as h + v*s**2 + d*s and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1327*t - 28*t + 1 - 7*t**4 + t**2 - 2 + 13*t**4 - 3*t**4 to u*t**3 + f*t**4 + r*t**2 + z*t + a and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 1857257314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -52*(4\/6)\/(8\/6). Let k = l - -31. Let a(s) = 4*s + 15. Let u be a(k). Solve -4*f = -2*n - n - u, 5 = -f - 2*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000301537699 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 91\/352920 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 61 = l - 37, -257 - 9 = 24*s + l for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -301\/22 - -134\/11. Let u = 0.3 + -1.3. What is the nearest to -0.1 in b, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2599 divided by 1068.\nAnswer: -2599\/1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-2 + 16 + 15)*(-430*k**3 + 430*k**3 + 48*k**4) - k**4 + 4*k**4 - k**4.\nAnswer: 2786*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35308782 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2013 plus -457965014?\nAnswer: -457967027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/9 (b) 0.89 (c) 1 (d) 14\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:16 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 435854*j**3 - 365*j**2 - 94*j + 1 wrt j.\nAnswer: 2615124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - -1 - (-22 + -26 - -11)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify k**14*k\/k**24*k\/((((k*(k*k*k\/((k\/(k*k**(5\/2)))\/k*k))\/k)\/k)\/k)\/k)*k**19 assuming k is positive.\nAnswer: k**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from fcv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4843, 39173, 132367, 313861, 613091?\n\"Answer: 4906*b**3 - 4*b**2 - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4439563771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -113856 divided by 28464\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**3 - 49*d**2 - 443*d - 6261. What is x(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2079629 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9938 * 4084.9\nAnswer: 40595736.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -38\/9*t - 2\/27*t**3 - 20\/9*t**2 + 16. Let m(w) = 0. What is w?\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54236.\nAnswer: 2, 7, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41139935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 3 - 3)*(-290*m + 579*m - 289*m + 460*m**3) to the form f*m**4 + x*m + s*m**3 + g*m**2 + y and give f.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14811 = -25*v + 75611. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*p = 2*l + 631 - 195, -4*p = l + l + 64 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78013160?\nAnswer: 2, 5, 41, 47569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -24*f**2 - 151*f + 2. Determine w(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-3))\/(24\/180). Suppose -z = c - 15. Suppose -52 - 38 = c*h. Are h and -18 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832)*1 + -2.\nAnswer: -2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlq when three letters picked without replacement from {l: 7, x: 3, q: 3}?\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - g**3 - g**3)*(-3*g**2 + 9*g**2 + g**2) + (0*g**2 - 4*g**2 + 3*g**2)*(-5*g**3 + 4*g**3 - g**3) + 2*g**5 - 4*g**5 - g**5.\nAnswer: -29*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)*k*k*k**(-4\/13)*k**(-2\/3)*k**39 assuming k is positive.\nAnswer: k**(1327\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*m**3 + 0*m - 8\/15*m**4 - 2\/15*m**2 + 0.\nAnswer: -2*m**2*(m - 1)*(4*m - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11346 + -11370. Sort -0.4, -2\/27, -2, m in increasing order.\nAnswer: m, -2, -0.4, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 126 = -3*o + 255, -r + 84 = -2*o. List the prime factors of r.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*d + 3*j + 5, 12 = 3*d - 2*j. Suppose 14 = 4*l + 2. Suppose -2*a = 4*s - 48, -105 = -l*a + 7*s - d*s. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -515, -772, -1029, -1286?\nAnswer: -1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 2. Let o be w(-3). Suppose q = -o*q. Which is smaller: -4\/7 or q?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773025.\nAnswer: 3, 5, 11, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2060601 by -31.\nAnswer: -66471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1653003 is divided by 498?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, m: 8, k: 2, s: 7}. Give prob of picking 1 s, 1 m, and 1 k.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 204 = -3*r, 2*r - 7*r = 2*l - 94. Let a = l - -80. Calculate the remainder when a is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1045, -1027, -989, -931?\n\"Answer: 10*v**2 - 12*v - 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2 - 12. Suppose w*u + 60 + 0 = 0. Let k = u - -79. What are the prime factors of k?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 15. Calculate the remainder when b(18) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*z + 4*m - 12, 2*m = -5*z + 6. Suppose -y - 3*y + 20 = z. Suppose y*n = 53 + 92. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 4*h + 1. Let z(w) = -w. Let l(y) = -x(y) + 4*z(y). Find g, given that l(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 246690, 986767, 2220228, 3947073, 6167302, 8880915, 12087912?\n\"Answer: 246692*l**2 + l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 28*t. Let l(n) be the third derivative of n**7\/2520 - 7*n**4\/24 - 2*n**2. Let f(o) be the second derivative of l(o). Give f(x(h)).\nAnswer: 784*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 178*h - 725. Let k be q(4). Let g = -0.06 + 37.06. Which is the smallest value? (a) 0.3 (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/4258145 and 17\/2554887.\nAnswer: 12774435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 21 + 1 = -2*u, 3*u + 12 = -z. Let a(b) = -b**2 - b - 3*b + 3 + z. What is the units digit of a(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -15. Suppose -11*l + 14*l = 2*n - 176, 4*n = -2*l + 352. Calculate the highest common divisor of n and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 29*n + 206. Let w(f) = -33*f - 205. Let x(v) = -4*r(v) - 5*w(v). Let p be x(-4). Let h = 0 - 0.2. What is the second smallest value in 1\/5, h, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1060, -2118, -3176, -4234?\nAnswer: -5292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73\/(-9) + (3\/(-5))\/(195\/(-2925)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/11420 and 5\/38828?\nAnswer: 194140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 - 2*z**3 - 2 + 2 + z - 5 to f*z + a*z**3 + v*z**2 + w and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1863 and 184851?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3633\/10 - -371. Calculate the common denominator of s and 1 - -3 - (3450\/(-24))\/(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*r + 6*r + 4*r**3 - 5*r**3 to m*r**3 + z*r**2 + p*r + g and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/11)*r*(r*r**(-1\/17)\/r)\/r*r*(r**(-1\/26)\/r)**(-5\/6) assuming r is positive.\nAnswer: r**(18451\/9724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 785, 786, 787, 788, 789, 790?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 39*s**2 + 5*s. Let l(t) = 1251*t**2. Calculate c(l(u)).\nAnswer: 61035039*u**4 + 6255*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/394484920 and -33\/394484920?\nAnswer: 394484920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s + 90. Suppose 0*g - 3*g = -s. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:16 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8 - 539\/(-4). Let c be k\/10 + 1\/(-2). Let d be 13\/((-2)\/(-44)*2). Calculate the highest common factor of c and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - m - 0*m - 16, 2*s + 37 = 3*m. Let t be 16\/(-1)*-5*s. Let u be (-10 - t)*400\/(-6). What is u rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2378915, -2378914, -2378913?\nAnswer: -2378912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/3256 and 76\/9?\nAnswer: 29304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 540?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.45277 decades to millennia.\nAnswer: 0.8045277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30010 divided by 11.\nAnswer: -30010\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28962?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 476352\/16540*15\/(-18).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 232*h + 73. Let p(u) = -103*u - 36. Let b(g) = 4*i(g) + 9*p(g). Let f(q) = -1. Calculate b(n) + 4*f(n).\nAnswer: n - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76349, -76406, -76561, -76862, -77357, -78094, -79121?\nAnswer: -80486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/74 + (7146\/3330 - 2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011000000002 (base 3) to base 13.\nAnswer: 1012b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-1) + 16\/(-1). Let k be (6\/m)\/((-2)\/7). Suppose -2*p = -4*a + 2*p, -a = 3*p + 20. Put a, 1\/2, k in ascending order.\nAnswer: a, 1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**4\/4 + 2*q**3 + 5*q**2 - 10*q - 1. Let u be i(7). Let f(a) = -6 + 2*a + u - 8. Calculate f(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 414 and 78490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s + 4. Let g(o) = 6*o - 3. Suppose -3*m = b + 8 + 3, -14 = 2*m - b. Let z be (-125)\/20 - 2\/(-8). Determine m*f(h) + z*g(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/14*(-4)\/(-3). Suppose k = 5*r + g*k - 91, 12 = -3*k. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 683315168 and 366.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 3*g - 177. Calculate the lowest common multiple of g and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in 38, -3\/8, 8.3, -7, -1\/5, -3\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1319, 5311, 11965, 21281?\n\"Answer: 1331*z**2 - z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 10122*c**2 + 6 - 5063*c**2 - 26 - 5066*c**2 + 14*c. What is y(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*z - 3*z + 5*z)*(-2 - 28*z + 20*z + 0) as i + y*z + s*z**2 and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.2 - -14.4. Which is the closest to 1? (a) -4\/19 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9541 - 3*m - 24*m**3 - 10046 - 10*m**2 + 10*m**2 wrt m?\nAnswer: -72*m**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 236.21 + -3.21. Let s = 229.94 - p. Round s to 1 decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzaaaoznnaaxxan. What is prob of picking 3 n and 1 z?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 0 - 0\/(-1). Let a(j) = 5*j**2 + j - 50. Let m be a(7). Let f = m - 197. Sort f, y, 2.\nAnswer: y, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*o + 3*v + 88, -3*o = 4*v + 35. What is the nearest to 0.1 in -0.2, 0.464, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -0.19, 0.666.\nAnswer: -5, -0.19, 0.666, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1331) + -1 + -4 + sqrt(1331))**2 - (2*(-2 + -1 + sqrt(176)))**2.\nAnswer: -124*sqrt(11) + 4612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 415, 387, 329, 229, 75, -145, -443?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42309*h - 84670*h + 42371*h - h**3.\nAnswer: -h**3 + 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 77191025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 298170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(2*d**2 - 3*d**2 + 3*d**2) + 0*d + 0*d + d**2 + (8*d - 28*d - 12*d)*(d - 6*d - 2*d).\nAnswer: 231*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1402215 + -310?\nAnswer: -1402525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 1. Let y(t) = -38*t - 41*t + 78*t. Suppose 0 = 3*o - 0*o - 45. Let u be 10\/(-4)*(-6)\/o. What is u*k(r) - 4*y(r)?\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 = 5*q - 3*q, -2*k + 5*q - 14 = 0. Suppose -3*w - k*a + 0*a = -6, 0 = -4*w + 2*a - 10. Is w less than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87587.\nAnswer: 87587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 6:01 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8780210237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*q + 102 + 353. Let w = -159 + 314. Calculate the highest common divisor of w and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, 291593, -5 in decreasing order.\nAnswer: 291593, -2\/23, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*b + 5 = -3, 0 = 2*o - 5*b - 24. Let d(z) = z**2 - 4*z. Give d(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**4\/11 + 8992*o**3\/11 + 91654*o**2\/11 - 6924372*o\/11 + 54829008\/11 = 0.\nAnswer: -36, 13, 4506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 divided by -3382486.\nAnswer: -61\/1691243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.29 + 1.3. Let o = w - 0.01. Let m be 4\/(-10) - 7\/(-30). Which is the third smallest value? (a) o (b) m (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7816908331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 2*m - 2. Let y(q) = -9*q - 3. Let w be y(-4). Let d = w - 30. Determine x(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 9\/(-15))\/(876\/(-60)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 801 and 28836.\nAnswer: 28836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-48) - 94\/(-2256). Solve 3*v + 37*v = w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 6*q**2 + 9*q - 6. Let p be j(7). Let s(n) = -2*n + 13. Let t be -2 - (-21)\/15 - (-308)\/55. Let b be s(t). Solve b*y + y = -p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d - 4. Let h be v(11). Let s = -6 - -14. Calculate the highest common factor of h and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1573) + sqrt(1573)*3 + -2 + -3*(sqrt(1573) + 2))**2.\nAnswer: -4911 + 528*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17\/4 of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*m + 29*m = -19*m - 4496 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 91, 93?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-11))\/(66\/2662*-22)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215 - 206 - (1 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:44 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1409\/4227 - (158\/(-438))\/(-1)\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2780*-11\nAnswer: 30580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - 8)\/((-1)\/2). Let x be 0\/(1\/(-2)*a). Which is greater: 2\/13 or x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v - 6. Let l = -220 + 226. Calculate u(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 4:57 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.12, -0.2, -8, 3\/173, 1\/3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*y - 69, o - 2*y = 20 + 7. Suppose -2*l + 200 - 124 = 0. What is the remainder when l is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.5 - -9.5. Let v = -2.3 + 0.3. Which is the second smallest value? (a) v (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67617269441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + 18. Let f = 178 - i. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-923 + 925)\/((-1)\/4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - x - 1. Let p(h) = 5*h**3 + 7*h**2 - 12*h - 15. Let d(c) = 4*k(c) - p(c). What is the remainder when d(-8) is divided by (18\/(2 + 1))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 2*v, -5*v = -4*d. Suppose -2*c = -d*c - 8. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 225 - 6*z**4 - 9*z + 3*z**4 - 171 - 59*z**2 + 20*z**3 + z**3 + 20*z**2.\nAnswer: -3*(z - 3)**2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 286.09731s to minutes.\nAnswer: 4.7682885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 619 (c) 3\/2 (d) 2\/23 (e) -379\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*i + 756 = 106*i - 108. Let g be (6\/(-44))\/3*2. Suppose 1 = -0*c - c. What is the closest to c in -0.1, i, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 871060 and 57230?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -6\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*h - 26 = 15, -5*k - 5*h = 45. Let w(x) = -2*x**2 - 16*x - 2. What is w(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 15*z**3 - 8*z.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -648350.6 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0*j - 4. Suppose j*u = -u + 510. Suppose 4*s - 2*l = 148, -5*s + 53 = 5*l - u. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**5\/60 - y**3 + 5. Let d(q) be the third derivative of a(q). Let k(t) = 2*t**2. Give d(k(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 12 = 12*m. Let a be (m\/(-36))\/(1\/9). Suppose 206 = a*s + 53. Calculate the remainder when s is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(54\/648)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 81 = -2*c, -4*c + 169 = -523*j + 528*j. Calculate the highest common divisor of c and 3434.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20878306?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 43542.4158?\nAnswer: 43547.4158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 6, -0.395, -1\/8?\nAnswer: -0.395","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - 4*n**3 + 2*n**3)*((-n + 5*n - 2*n)*(2 + 3 - 1) - 3 + 2*n + 0 + 0*n).\nAnswer: -30*n**4 + 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -549f70 + -1?\nAnswer: -549f71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/6 of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 139, 919, 2937, 6781, 13039, 22299, 35149?\n\"Answer: 98*c**3 + 31*c**2 + c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 4 + 3 + 0*u**3)*(33 - 91 - 116) + 10*u**3 - 4*u**3 + 6*u**3.\nAnswer: -336*u**3 + 174","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a meter in centimeters?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2119 and 14?\nAnswer: 2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130867 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*i + 1291*i**2 - 1349*i**2 - 239 + 7*i + 6*i wrt i?\nAnswer: -116*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 4*w + 28 = 0, 0 = 5*s - w - 19. Put s, -309, -3, 1 in increasing order.\nAnswer: -309, -3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzzuzzqqqjvzqzzjqq. Give prob of sequence jjuz.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -497 + 495. Which is the closest to 1\/3? (a) -1\/4 (b) x (c) -203\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6) + (-56)\/(-16). Factor 0 - 3\/5*t**u - 2\/5*t**2 + 0*t.\nAnswer: -t**2*(3*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2363 and -0.31.\nAnswer: 732.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:27 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -1, q = -w - q - 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2340 and 446238.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/(-8))\/7*-7*(-15)\/315.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h + 3*h - 55 + 2*h + 3*h + 3*h to s*h + x and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 - -281\/5. Let i = 12.94 + -13.04. What is the closest to -3 in i, h, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 170476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -0.3, -2\/13, 0.5, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-27)\/(-12)))\/(8\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*w - 5*w, 0 = -5*k - w + 15. Suppose 0 = m - k*y + 6 - 28, -3*m + 21 = 3*y. What is the least common multiple of m and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 + 199. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v - 5. What is the remainder when 31 is divided by n(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -6.7 (c) -2\/7 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-152)\/(-7) + (-6)\/(-21). Let w be 3\/(-1) - (0 - (p - 1)). Calculate the common denominator of 218\/w + (2 - (11 + -5)) and 1\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = l - 2*f + 8, 3*f + 10 = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 4. Is f\/((12\/(-58))\/3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l + 5*l)*(0*l + 0*l + 2*l**4) + l**5 + 0*l**4 + 0*l**4 + 8*l**3 - 61*l**5 - 8*l**3 - 2*l**5 - 2*l**5 - l**5.\nAnswer: -61*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-6\/13)\/((r**(2\/5)*r)\/r) assuming r is positive.\nAnswer: r**(-56\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65.5 - -84. Let s = -19 + g. Which is the smallest value? (a) s (b) -1 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58513?\nAnswer: 7, 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f + 7. Let v be a(8). Let u = v + -28. Suppose -3*c + 4*c - 73 = 0. What is the remainder when c is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.24 + 0.41. Let y = -1.23 + 1.3. Let r = y - g. What is the closest to r in 0, 1, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 25 = 3*o. Suppose -o*i = -6 + 36. What is the units digit of (0 + -2)*9\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 495*v**2\/4 - 2477*v\/2 + 10 = 0. What is v?\nAnswer: 4\/495, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = -4*t, 3*t = -4*l - 0*t - 14. Let d = -0.93 - 0.17. Let b = -0.8 - d. What is the nearest to 1\/5 in l, 2\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*c**3 + 8*c**3 + 31*c**3 + 334*c**3.\nAnswer: 522*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*t + 3, -4*l + 3*t = -31. Let w = 119 - 39. What is the highest common factor of w and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*30\/(-35) - 30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -7*l + l. Suppose d - l = 24. What is the remainder when d is divided by (-1)\/3 + (-110)\/(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 7 = 8*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -223332 (base 4) to base 12\nAnswer: -1766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwzi when four letters picked without replacement from izwiw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - j - 4104, -u - 2*j = -5*j - 1368. Suppose -t + 284 = 8*l - 6*l, -5*t = -3*l - u. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11212948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6345 (base 11) to base 16.\nAnswer: -20ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/12 + 2\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 193538, -5.\nAnswer: -5, -3, 193538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**3 + 5821814*o + 140262400?\nAnswer: -3*o**2 + 5821814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**5\/3 + 16*m**4 + 28*m**3 + 40*m**2\/3 = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 - 175. Calculate the smallest common multiple of 52 and h.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2673128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 108.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**3\/3 + 25846*v. Suppose 4*m = -4*z, 4*m + 2*z - 2 = -z. Let u(b) = 0*b**2 - 3*b**2 + 0*b**2 - m*b. Give t(u(i)).\nAnswer: 6*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 0*u - 2*u = 3, 4*a = 2*u - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (60\/9)\/(-4)*-3. Solve z*c - 5 = 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2034*d + 828*d - 195510 = 804*d for d.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 11533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 4*k - 5*k - 5)*(-k + 0*k + 0*k).\nAnswer: k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2 - 2*-1. Let l be (-11)\/(-3) + 8\/24. Solve -n*v + 8 = -2*z, 2*v + l*z + 10 = 34 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-54*48\/(-5184))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(25\/3)*c*c*c**(-4\/5)\/c)\/(c**(-1\/6)\/c*c**(-18\/5)\/c) assuming c is positive.\nAnswer: c**(143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**5\/60 + o**4\/2 + 2*o**3\/3 + 62*o**2 + 7*o. Determine b(6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 73, 69, 63, 55, 45, 33?\n\"Answer: -r**2 - r + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 21\/17, 3, -43, 1, 4 in ascending order.\nAnswer: -43, 1, 21\/17, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.754 + 0.654. Suppose -z = -0*z - 3. Let w = z + -4. What is the nearest to r in -0.3, w, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4776, -9516, -14230, -18906, -23532, -28096, -32586, -36990?\n\"Answer: 2*l**3 + l**2 - 4757*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 2 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 24. Let k = -1222 - -8556\/7. Which is bigger: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(0*u**2 - u**2 + 3*u**2) + u - u + 2*u**2 + 1050 - 1050 - 34*u**2.\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 4*o + 3*p + 160, 2*o + 5*p + 14 = -p - 58 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2116750 divided by 677?\nAnswer: -2116750\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -9\/608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*a = -5, 2*m + 3*a + 2*a = 12. Let v be ((-40)\/450)\/(((-12)\/10)\/3). Which is bigger: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/8, 0.5, -1\/4, -2164, 0, -0.35?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-432)\/8*(0 - -2)\/(-14). Which is smaller: 9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5603694 is divided by 84?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 578 divided by 2\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13397756451\/5951120 + 1\/1190224. Let n = 2245 - p. Find the common denominator of n and 7\/(-2)*66\/(-44).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -881797\/310 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7762 = 12093. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -26*j + 3. Let n(o) = 1794*o - 208. Let p(q) = -208*l(q) - 3*n(q). Let u(s) be the second derivative of -s**3\/3 - 32709*s. Determine p(u(f)).\nAnswer: -52*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) + (-611)\/(-26). Suppose -21*n + o*n = 30. Suppose 2*v - 82 = i, 1 = 4*i - n. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*k = -10*p - 160*k - 164*k + 1, 0 = 4*p - 13*k + 8*k + 43 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s + 4*o = -152, 0 = -3*o + 9. What is the remainder when s is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/8088288 and 157\/3499740.\nAnswer: 363972960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6849 take away -0.3?\nAnswer: 2.9849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 2 - 5) + (21 - 11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55973 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005608578 to 6 decimal places.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15.6 * 0.2\nAnswer: 3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141 is divided by 142.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l*l\/l**(-1\/3)*l))**45\/(l**(-4\/3)\/l*l*l*l\/(l*l\/l**2))*((l**2)**(6\/31))**(-27) assuming l is positive.\nAnswer: l**(-2429\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42463\/5 + 8497. Let j(s) be the first derivative of 25*s + 0*s**3 + 0*s**4 - 21 + x*s**5 + 0*s**2. Differentiate j(k) with respect to k.\nAnswer: 88*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -5 - (-5 - (2 + -8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 5*g - 8. Let n be z(-6). Let m = -14.1 + 13.1. Is n less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51730387 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/599 or 0?\nAnswer: -1\/599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28, -27, -28, -31, -36?\n\"Answer: -n**2 + 4*n - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(125)*2 + sqrt(5))**2.\nAnswer: -110*sqrt(5) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2670 = 33*j - 2835. Solve -136 = -j*x + 22*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23192736, -46385472, -69578208, -92770944?\nAnswer: -115963680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -1285.\nAnswer: 33\/1285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 5*l**7\/21 - l**6\/2 - 2*l**5 + 65*l**4\/12 - 10*l**2 + 24*l + 3. Determine y, given that q(y) = 0.\nAnswer: -2, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 4188639547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -263\/8 + -29\/8. Calculate the common denominator of x and -97\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126242522 by -2576378.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/(-20)*(-60)\/35 + -3. What is the biggest value in r, 0.2, -0.19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 2, q: 8, v: 7}. Give prob of sequence tq.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 2*k. Let l(a) be the second derivative of a**4\/6 + 5*a**3\/6 + 6*a. Let m(r) = -15*h(r) - 6*l(r). Let b(y) = 3*y. Determine m(b(s)).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/6)*w*w\/(w*w**1*w))\/(w**0*w**(-2\/5)\/w))\/(w**(-20)\/(w**(-5)\/w**(-1\/7))) assuming w is positive.\nAnswer: w**(3299\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2*y + d*k**3*y + 17*d*k*y - 3*k**3*y - k**2*y + 18*y wrt d?\nAnswer: 4*d*y + k**3*y + 17*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 20507 = n - 2*z, 0 = -n - 5*z + 4096. Let j be (-18)\/(-3) + 64 + -70. Suppose j = -8*y + 2547 + n. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*((-740)\/91 + -19 + (-735)\/(-39) + 12).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24 in -1, 15.31, -77, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r**3 - 2*r - 3. Let w be v(-2). Suppose -2*x + 3*x + 49 = 5*i, -4*x = 3*i + w. Is 14 a factor of x\/(-4) + -6 - (-28)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905744374.\nAnswer: 2, 15439, 29333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/5 of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-9))\/(-4)*-9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1638 divided by -8\nAnswer: -819\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 27 = 5*z, 0 = -0*z - 2*z - 4*s + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 0.114, 98, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 2740*h**3.\nAnswer: -2740*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -664327, -664246, -664165, -664084?\n\"Answer: 81*r - 664408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 + 48766*u**3 + 292620*u**2 + 585256*u + 390176.\nAnswer: -(u - 48772)*(u + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 14 - 126 = 0. Let f = 67 - h. Suppose -1 = 5*b - f. Solve 2*r - b*u - 1 = 3*u, r = 2*u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -174\/54157 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 0\/(2\/1). Let i(h) = 0*h - h**3 - 2*h**2 + 0*h**v - 4 - h. What is the units digit of i(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.1*16417.\nAnswer: 264313.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2295785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 17*u - 165. What is the remainder when 207 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1008184, 1008188, 1008174, 1008136, 1008068, 1007964?\nAnswer: 1007818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0345, 0, 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -4 in descending order.\nAnswer: 4, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 12221112121?\nAnswer: 12221112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004 is divided by 233.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22116527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 388099, 776235, 1164371, 1552507?\n\"Answer: 388136*l - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 452? (a) 71\/23 (b) -1 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c + 1. Let x(j) = -7732*j + 3. Give 5*b(d) - x(d).\nAnswer: 7707*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4205266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 427 and 126.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + 2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c. Let h(r) = 30*r - 23823. What is o(h(p))?\nAnswer: 120*p - 95292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -658, -1005, -1370, -1759, -2178?\nAnswer: -2633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(56)\/(sqrt(4) + sqrt(40)\/(sqrt(40)\/sqrt(4))))\/(sqrt(6)\/sqrt(243)).\nAnswer: 4 + 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-392)\/224)\/((-1)\/20 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 8*u - 15 = 0. Let c be (10\/u)\/((-2)\/(-63)). Suppose -28 = -8*r + 4*r. Calculate the highest common factor of c and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -736 divided by -92\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - q - 4. Is 3 a factor of f(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -4*s + 23, -2*h - 1183 = -4*s - 1161 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15136996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 621829920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -9*z - 2561. Let n(w) = 20*w + 5128. Calculate 7*h(f) + 3*n(f).\nAnswer: -3*f - 2543","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g**3 - g**2 + 2*g - 1. Let p be q(1). Suppose 3*u = z + 2, -3*z + 12 = -2*u - p. Suppose 284 + z = 3*j. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.59 + -0.09. What is the biggest value in 10, -1, f?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50*z**2 - 7390*z - 59546 wrt z?\nAnswer: 100*z - 7390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**5 + 133356*t**4 + 2*t - 366539?\nAnswer: -40*t**3 + 1600272*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*j - 81 + 18 = 0, 3*j - 51 = -4*g. Solve 0 = 2*h - 2*z + 12, -g = z - 5*z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 17*s**2 + 36*s - 51. Let q(m) = 11*m**2 + 23*m - 32. Give -8*q(i) + 5*r(i).\nAnswer: -3*i**2 - 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = 5*o + n, -3*o - 3*n + 28 = 229. Let j = 84 + o. What is the remainder when 87 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1536)\/(-1440) - (-583)\/3180.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2. Let i(z) = 30*z - 13427094. Calculate i(t(r)).\nAnswer: -60*r**2 - 13427094","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 85 = 4*t - 2*i, -4*t - 8*i + 20 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqkqkkrqrk. What is prob of picking 3 q?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116156 and 2454?\nAnswer: 348468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11454.08479 rounded to the nearest ten?\nAnswer: -11450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**4 + 35*t**3 + 53*t**2 - 11*t - 26 = 0?\nAnswer: -1, 2\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -2 + 7 - (9 + 2 + -9 - 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 719, 1378, 2021, 2642, 3235, 3794, 4313?\n\"Answer: -n**3 - 2*n**2 + 672*n + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (5 - 7) - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*l = -5*l - 119, g = -5*l - 33. Let o = g - -53. What is the remainder when 18 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -287256.\nAnswer: -287255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*t + 35 = -1, -10 = 22*i - 9*i - 3*t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -82. Let i = -5711 - -5741. Let p = x - i. Is p at least as big as 31\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 937, 3676, 8229, 14602, 22801, 32832?\nAnswer: 44701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 17 + 2*z - 8*z.\nAnswer: -6*z + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 110 = 4*r, 57 = -3*y - y + 3*r. Let k be 4\/y - ((-4403)\/819 + 5). Suppose -4\/13 + 2\/13*p + k*p**2 = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56828309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -10. Suppose -2*a - 3*a = 2*d - 29, 3*d + z*a - 26 = 0. Suppose -4*k - k = -3*r + 5, -14 = -d*k - 2*r. Solve -l + 15 = k*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138 + 222. Let y = 84 - h. Let w = -5 - -4.6. What is the nearest to 1\/3 in y, -0.5, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94*o**4*s**3 + 101*o**4 - 2271*o**2*s**3 wrt o?\nAnswer: 2256*o*s**3 + 2424*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -57.226. Let o = -0.451 + 0.011. Let g = o + i. What is g rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2268 - 1862. Let l be ((-668)\/8)\/((-1)\/18). Let c = l - f. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 18*i - 2 = 0. Suppose -430 = -i*a + 528. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/56*2*3\/3\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 0.5 (b) 3\/2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-14)*4*(-93)\/(-62)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + (-2*sqrt(931) - sqrt(931)) + 1 + ((-1*sqrt(931) - sqrt(931)) + 0 - (sqrt(931) + -1)*-2) + -2 + -3)**2.\nAnswer: 168*sqrt(19) + 8395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -y + 3*g, 3*g + 2*g + 15 = 4*y. Suppose -3*q = 5*u + 4, y*q - 12 = -4*q + 2*u. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -216 or -228462\/1051?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12201020211120 (base 3) in base 10?\nAnswer: -3036165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 - 6*p**2 + 6. Let w(s) = -3*s**3 - 5*s**2 + 5. Give 5*c(v) - 6*w(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 10:30 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5031\/10 - 511. Find the common denominator of 50\/11 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 2. Let x = 0.5 + 0.15. Let o = x - 0.7. What is the third smallest value in g, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -19 - (12 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4 + g**2 - 9*g + 8*g + 11*g. Give y(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 5:36 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 202*p + 6332. What is f(-30)?\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 242*o**2 - 1027*o - 1013*o + 2040*o. Let i(r) = 6*r**2. Calculate b(i(m)).\nAnswer: 8712*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 83.38494 months?\nAnswer: 0.06948745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5838.561562 to the nearest ten.\nAnswer: 5840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 67 (b) 68 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2587 (base 11) to base 15.\nAnswer: ee2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lweeuwueuuwuuu. Give prob of sequence uw.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*b = 6, -5*k + b = -0*b - 78. Calculate the remainder when (2\/(-6))\/(2\/(-174)) is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 41 (b) -3 (c) 1\/3 (d) -6 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 19\/3883 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 6:02 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-30))\/((-1)\/3). Let b = -3.31 - 0.69. What is the nearest to v in -2, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 34. Calculate d(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 2. Let b be (-3)\/(u\/(-20)*-6). Solve 0 = b*p - 5*l, -3*p - 39 = 4*l - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/11*b**3 + 6084\/11*b + 0 + 156\/11*b**2 = 0. Calculate b.\nAnswer: -78, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*b - 22 = 28, 2*h - 20 = -5*b. Solve 11 = h*c + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4\/(16\/(-7))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 4:28 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**3 + 0 - 2*c - 1\/6*c**4 - 2*c**2. Suppose n(a) = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -86. Let c be (9\/12)\/(4\/l). Find the third derivative of 2*r**3 + 11*r**2 + c*r**3 + 0*r**2 wrt r.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 1651636563?\nAnswer: -1651636601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124071 is divided by 61970?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 484*u + 18330.\nAnswer: 2*(u - 195)*(u - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*n + n - 3 = 0, 1 = 4*o + 3*n. Let l be (o + 0)\/(1*(-5)\/(-180)). Suppose -4*b + 5*b = l. Calculate the greatest common divisor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-2\/25)*o**(4\/9)*o*o\/o**(-7) assuming o is positive.\nAnswer: o**(2143\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 793 and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -1539?\nAnswer: -46\/1539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42488?\nAnswer: 2, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 + 7*o - 13. Let r = 31 - 33. Let x be (-21)\/5 - 6 - r\/10. Is 63 a factor of u(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsasfsttssfetsseeast. What is prob of sequence eaa?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3173 or 3842?\nAnswer: 3842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 5*l**2 + 5*l - 4. Let b be m(-6). Suppose k = b*k. Suppose u + k = 2. What is the smallest common multiple of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) - 107\/(-3). Suppose -4*v - 10 + 30 = 0. Suppose 2*h - 3*h = -5*y + 36, v*y - 4*h = 39. Calculate the highest common divisor of y and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42550 (base 7) to base 8\nAnswer: -24512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26467 and 7847?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2413 or 12071\/5?\nAnswer: 12071\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q**2. Suppose 14 - 14 = -3*i. Let f(o) be the first derivative of 0*o + i*o**2 + 2 + 2\/3*o**3. What is f(r(j))?\nAnswer: 72*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2032113 - 12?\nAnswer: -2032131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - r - 5. Suppose 3 = 5*t - 7. Let f(j) = 2*j - j + j**2 - 2 + t*j + 0*j. Let z(c) = 2*c**2 + 5*c - 3. Give r*z(a) + 8*f(a).\nAnswer: -2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + a0961b5?\nAnswer: a0961ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*t + 10. Let x be (-10)\/8*(t + -17). Let y = 366 + -91. Calculate the greatest common divisor of y and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3258 - 3256. Which is the closest to -1\/3? (a) -5 (b) -309 (c) q (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1609, 3262, 4915?\n\"Answer: 1653*p - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 292, 445, 598, 751, 904?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/95 <= -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 85*h**3 - 300*h**2 + 20*h + 400.\nAnswer: 5*(h - 2)**2*(h + 1)*(h + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6 and -61\/86?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 120505, 120544, 120607, 120694, 120805, 120940, 121099?\n\"Answer: 12*q**2 + 3*q + 120490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(10\/9)*a\/(a*a**(-2\/9)))**(6\/11))**(2\/31) assuming a is positive.\nAnswer: a**(28\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9590*f + 1 - 1 + 9586*f + 0.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31785 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 16*d + 4. Let a(q) = 4*q. What is a(u(b))?\nAnswer: 64*b + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**2 - 2*h**2)*(-705364*h + 140*h**3 + 705364*h + 2).\nAnswer: -280*h**5 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 4*m - 2*m)*(10*m + 6*m + 8*m).\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 - 6*l + 20. Let f be i(0). What is the first derivative of 9*m - 32*m + 2*m - f + 0*m wrt m?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 4*j**2 + 5*j - 4. Let z = -18 + 25. Suppose -23 + z = -4*r. Let q be m(r). Calculate the greatest common factor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.131 + -0.131. Put i, -17, 0.2 in descending order.\nAnswer: i, 0.2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*k**3*l**3 - k**3*l**2 + 97*k**3*l + 664*k**2*p + 468007*l**4*p + 3*l**2*p wrt l.\nAnswer: 78*k**3 + 11232168*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11099 + -52.46899. What is g rounded to zero dps?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**3 + 75*o**2 + 220*o - 300 = 0.\nAnswer: -10, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2. Let r(a) = -2*a - 3. Let i(b) = -6*b - 8. Let f(k) = -4*k**2 - 2*k - 1. Let h be f(-1). Let q(d) = h*i(d) + 8*r(d). Calculate q(w(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 497525761?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/216 and -39\/1244.\nAnswer: 67176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + 1. Let r(t) = 4*t - 4. Let h be r(3). Let x = -6 + h. Let l(y) = -8*y**3 + y**2 - 7*y + 7. Let j(a) = a**3 + a - 1. Calculate i*j(v) + x*l(v).\nAnswer: -2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 8*q - 100. Calculate c(-31).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -304.07 - -0.07. Let d = 333.4 + b. Let q = -30 + d. Sort -4, 5\/6, q in ascending order.\nAnswer: -4, q, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19 + 2*(-3 - (-20)\/8). Let l be (84 - 84) + (-1)\/(q\/4). Which is smaller: 28\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265284037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**3 - 1864*c**2 + 175236*c - 173376 = 0.\nAnswer: 1, 129, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(133)*-6 + sqrt(133) + sqrt(133)*2*2))\/(sqrt(847)*-2 + (1*sqrt(847) + sqrt(847) - sqrt(847))).\nAnswer: 85*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -302, -277, -242, -191, -118?\n\"Answer: c**3 - c**2 + 21*c - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26199 and 71217.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 511 and 13174?\nAnswer: 961702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66 * 29.81.\nAnswer: 1967.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmjljjjtmmjt. What is prob of sequence tl?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*o - 2 = 0, -6*f + 5 = -f - 3*o. What is the least common multiple of f and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5628546670?\nAnswer: 2, 5, 562854667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 109 - -218?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -0.5. Let s = 126 + -102. Let p = 19 - s. Which is the closest to 0.1? (a) 6 (b) u (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.4, -5, 4, 3\/8 in decreasing order.\nAnswer: 4, 3\/8, -0.4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -1.1, 0, -16, -5\/4, 6944?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 - 2040*d + 2040*d. Let m(y) = 7*y**2. Give g(m(n)).\nAnswer: -98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 1:24 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -24d9 (base 16) in base 9?\nAnswer: -13841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 + -14. Let r = -5044219347.00000049 - -5044219426. Let i = z - r. 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: Express 7*h**4 + 2*h**3 + 1 - 8*h + h - 3*h**3 + 5*h - 3*h**3 as q*h**2 + o*h**4 + z*h**3 + d + x*h and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 168\/(-280)*((-1)\/(-9) + 0)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + 0*t**4 - 8*t**3 + 10*t**3 + (0*t**2 + t**2 - 2*t**2)*(0*t + 0*t - t**2).\nAnswer: -t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 10*i**3 + 4 + 4.\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 3. Let m be p(3). Suppose -b + 4 = -m*b. Suppose b = -3*r + 67. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.8086*-10332.\nAnswer: 29018.4552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 11*v**5\/30 - v**4\/12 - v**3\/2 - 18*v**2. What is the derivative of p(b) wrt b?\nAnswer: 44*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 11:17 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(9\/4)*(-30)\/(-260).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7\/x)\/x*x**25 assuming x is positive.\nAnswer: x**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 15. Let h = 11.1 + c. Let i = h + 0.1. Which is bigger: -0.2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from lllrrrlllr?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9261*n**2 - 2580*n**2 + 1 - 2588*n**2 - 4096*n**2.\nAnswer: -3*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/959*2)\/((-844)\/(-211)).\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-4 - (-7)\/2). Solve -2*n + 6*n = m*t + 10, -2*t = -5*n + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*i = -6*m + 52, -3*m + i + 80 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 388\/36 - (-240)\/72*(-1)\/(-15). Solve z*o = 2 - 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 6*b**2 + 4*b - 7. Let c be s(-7). Let m be c\/8*(-9)\/42. Sort 0.1, m, 2\/9 in decreasing order.\nAnswer: 2\/9, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 166, 556, 1310, 2548, 4390, 6956, 10366?\nAnswer: 14740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2. Let q be n\/(2\/5)*-2. What is the second derivative of 2*t**4 + q*t + 2*t - 4*t wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 232509178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24520 by -1226.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -275 + 8*f + 2\/3*f**3 - 4*f**2. Factor u(a).\nAnswer: 2*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckjc when four letters picked without replacement from {j: 2, c: 7, k: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 224611 (b) -18\/17 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - 0.2. What is the second biggest value in 0.3, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w - 26*w + 0*w + 0*w + 10*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000056334 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -16. Let d = -5.4 - -1. Let p = d + 4. What is the biggest value in i, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 28 = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - o**2 - 9. Let j(d) = d**2 + 13*d + 17. Let i be j(-12). Let u(r) = r**2 - 4*r - 5. Let v be u(i). What is n(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*p + 5*u - 0*u, -16 = 4*p - 4*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 687344 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67704224 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 59 from -11065.637.\nAnswer: -11124.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h**2\/h))**(1\/25)\/((h\/h**18)\/h)**(-30) assuming h is positive.\nAnswer: h**(-13499\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144293765.\nAnswer: 3, 5, 181, 421471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 6 = 5*l, 0 = 4*a + 4*l + 40. What is the remainder when 11 is divided by -1*(a - 1\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -620?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 38. Calculate the highest common factor of o and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279389041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7130 by 5.\nAnswer: -1426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.332? (a) 0.3 (b) -0.4 (c) 2\/25 (d) 1 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 5*o - 20 = z, 3*z - 30 = -3*o. Solve -z*a + 4*x = 2*x - 6, x + 3 = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157 - 92 + 355 - 63 - 4*m**2 + 282 to the form u*m + l + r*m**2 and give l.\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (11 - -24) - (-4 + (4 - -3) + -5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*i = -0*i + 107, 4*q - 3*i + 454 = 0. Let v = q + 316. What are the prime factors of v?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 637764438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(2*b**3 + 0*b**3 + 0*b**3)*(1308*b - 1 - 19*b + 5798*b).\nAnswer: 28348*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -40. Let j(c) = 2 - 14*c**2 + 3*c - 2700*c**3 + 24*c**2 - 5*c**i. Let k be j(6). Round k to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -104*c**2 + 1740*c + 4486. Calculate o(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 4. Let f(v) = v**2 - 7*v - 1. Let z be f(7). What is the lowest common multiple of 6\/(2 - z)*5 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 5*w**2 - 2*w + 8. Suppose 26*d = 27*d - 3*l + 3, 12 = -2*d + 8*l. Give t(d).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5969, -6598, -7683, -9254, -11341, -13974, -17183?\nAnswer: -20998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -102, -95, -74, -33, 34, 133?\n\"Answer: d**3 + d**2 - 3*d - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64437 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/11342122 and -33\/4.\nAnswer: 22684244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5565 and 25977.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1280, 1181, 1004, 713, 272, -355, -1204?\n\"Answer: -6*h**3 - 3*h**2 - 48*h + 1337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12518 is divided by 4119?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(1\/2))**(-33)\/(n**(-1\/6)*n\/n**(-1\/10)) assuming n is positive.\nAnswer: n**(-523\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 13*d + 6*d)*(-79358 - 799*d + 79358).\nAnswer: 8789*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 14450*g - 86612. Determine t(6).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3042001 (base 5) to base 7.\nAnswer: -264453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -906 = -21*q - 234. Suppose 0 = -q*g + 22*g + 110. Let j(u) = -28*u - 1. Let l be j(-2). What is the highest common divisor of l and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2\/5 (b) -12 (c) 2 (d) -8 (e) -2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 5*s**5\/12 + 7*s**4\/8 + 25*s**2. What is the second derivative of z(c) wrt c?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068 is divided by 40.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -0.7, -0.1, -2, -1\/7, 447, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5919.4 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-136344343)\/3 - 28\/42. Let n = 6370897 - y. Let p = 27519012 - n. Round p to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 5:59 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94968 and 22752?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-4 - -15) - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/3 - (-3)\/9. Let v be (-46)\/6 + 4 + 20\/(-6). Let g be 3 + (56\/3)\/v. What is the closest to 3 in w, g, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(1\/10))**(5\/4)*(d*d**(-1\/3)*d)**31*((d*d\/(d*d*d**(1\/4)))\/d)**26 assuming d is positive.\nAnswer: d**(457\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 4, k: 1, u: 2, w: 1, m: 5}. What is prob of picking 1 u and 1 k?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 - 33 + 21 - 139 = 6*u + t, 0 = -u - 2*t - 32 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -3*l, -s + 6*s = -l - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 37, 167, 389, 709, 1133, 1667, 2317?\n\"Answer: v**3 + 40*v**2 + 3*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3516 * 0.5.\nAnswer: -1758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876687 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 y(c) = -4*c**3 + 6*c**2 + 63*c - 41. Determine y(9).\nAnswer: -1904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46958 (base 10) to base 9.\nAnswer: -71365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34435 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*q - 21, 4*c + q = -c + 25. Suppose 1 = -2*o + 9, -20 = -c*i + 5*o. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 7) to base 11.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 1045.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 2*u. Let x(v) = v**2. Let s(b) = b**2 + 6*b. Let i(a) = -s(a) + 4*x(a). Let c = -47 + 55. Suppose -2*o + c*o = 12. What is o*i(n) - 7*q(n)?\nAnswer: -n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4715 + -2791. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.037 in -1, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3744*o - 241. Is i(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*c - d - 1, -4*c + 32 = 4*d. Suppose 0 = 4*b - 3*f - 368, -5*b = -3*f - 280 - 177. Let u = 92 - b. Solve u*g = v - 3*v + c, 2*v + 12 = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5714 is divided by 239?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**2\/2 - 1. Let l(c) = 15 - 15 + 8*c**2. Calculate l(n(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 - 2 - 4 - 4 + 5 + (3 + 0 - 2)*(1 + 0 - 2) - 12 + 29 + 20 + (0 + 2 - 3)*(-2 + 6 - 2))*(-2*w**2 + w - w).\nAnswer: -78*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(84\/(-848)) + (-36)\/(-3402)*-9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 68848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602585 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*a**5 - 8560*a**4 + 61768*a**3 - 136464*a**2 + 120604*a - 37600 = 0. What is a?\nAnswer: 1, 376\/63, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + x - 7 = 0, 3*b - 3*x = 7*b - 17. Suppose l - 50 = -b*w - 11, -4*l - 2*w = -126. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(1 + 2)*0. Let b be 3\/(-2 + -1) - (-2 - -4). Is d*b\/9 + 71 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -7.3. Let v = 0.7 - q. Let d = -4 + 3.8. What is the nearest to v in 3\/8, -0.1, d?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39, -139, -351, -711, -1255?\n\"Answer: -6*w**3 - 20*w**2 + 2*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-4)*(-2)\/(-3). Suppose -3*y - m*k + k = -14, -17 = -4*y - k. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 58*l + l**3 + 62*l + l**2 + 61*l - 189*l + 14. Suppose -7*t = -10*t + 12. List the prime factors of u(t).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 405256, 405252, 405244, 405232?\n\"Answer: -2*r**2 + 2*r + 405256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 2049?\nAnswer: 6147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12774)\/(-10645)*5\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12494*p + 13*p**3 + 12497*p - 18*p**3.\nAnswer: -5*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -55293290927 + -106?\nAnswer: -55293291033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 0.96. Let v be ((-3)\/(-12))\/((-2)\/(-8)). Which is the nearest to j? (a) -4\/3 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -1 - 17. Calculate the remainder when 14 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2985651 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (3 - (1 - -5)) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -5*d - 27*u + 29*u, 23 = -3*d + 2*u. Sort 1, 87, d in descending order.\nAnswer: 87, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11344002433 - 3?\nAnswer: -11344002441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 4. Let r be l(-2). Suppose -5*i + y - 32 = r, i - y = -2*i - 18. Let q = 20 + i. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1120 and 1645.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8737056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.7, -5, -3594, -364?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-5))\/((-16)\/(-40)). Suppose r - 7 = -q*t + 3, -4 = 2*r - 4*t. Solve -5*j = -r*m - j - 24, -3*m = -j + 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 316 = 7*b. Let h = 163 + b. Solve -f - f + y = 9, -3*y + 24 = -h*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - w, 18*c - 19*c + w = 0. Let k(a) be the first derivative of 3 + c*a + 3\/2*a**2. Let b(j) = 2*j**2. Give b(k(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -27596 and 0.765744.\nAnswer: -27595.234256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.13692 rounded to three dps?\nAnswer: 1.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107580 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/3)*k*k*k*k\/(k\/k**(-2\/9)))\/((k\/k**(-5)*k*k*k)\/(k\/(k*k**5))))**(-30))**(-37) assuming k is positive.\nAnswer: k**(-35150\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.526274644 + -273.526135644. Let f = 228 + 45. Let m = p + f. Round m to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g + 0 - 9 - 9 + 1 + 18. Let m(r) = r**2 - 3*r + 1. Give -4*m(n) + 5*u(n).\nAnswer: -4*n**2 - 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/3)*i))\/(i*i**(-10)))**32*i**(1\/6)*i**(-3\/7)\/i*(i**(-1\/4))**(-4\/9) assuming i is positive.\nAnswer: i**(34799\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -54*h**2 + 632*h + 161. Give z(10).\nAnswer: 1081","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145 - 117. Suppose -9*y = -17 - l. Solve -u + 3*g + 3 + 3 = 0, -5*g = y*u - 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6893*r + 3423*r - 1 + 3500*r + 25*r**2 in the form v*r + y + b*r**2 and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**5 - y**3 + 3*y**2 + 5*y + 3. Let p(x) = -3*x**5 - x**4 - x**3 + 3*x**2 + 4*x + 2. Let d(h) = -2*m(h) + 3*p(h). Factor d(c).\nAnswer: -c*(c - 1)*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83853718 divided by -41926859.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.9, -36, -3\/8, -1\/9, 5 in decreasing order.\nAnswer: 5, 0, -1\/9, -3\/8, -0.9, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 169 + -139. What is the remainder when n is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148337745 is divided by 29727?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54857 is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, -10, -81, -190, -343, -546?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 161832 divided by -11?\nAnswer: -14712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2074d - -5d?\nAnswer: 207ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3977, 3967, 3955, 3941, 3925, 3907?\nAnswer: 3887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3970*a**2*c**2 + 31*a**2*v**3 - 2*a**2 + 6758*a*c*v**3 - 15292*a*c + c**2 wrt a.\nAnswer: 7940*c**2 + 62*v**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -107*t - 3. Let d be g(-2). Let o = d + -84. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23659286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*l + 9*l + 18618. Let y = l + 595. Which is the nearest to 0? (a) 3 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 48941.74t?\nAnswer: 48941740000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15431341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 86129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, r: 1, q: 4, x: 4, u: 2}. What is prob of picking 1 q and 2 x?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 21 - 85 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 249529312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 6*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49205)\/757 + (-1497)\/(-24).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 59*x - 10. Let s be k(-28). Let c = s - -91. Let n = 15 + c. Calculate the lowest common multiple of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 14*g = -216. Let b(y) = -3*y - 26 - y**2 + g + 6*y**2. Let l(s) = s**2 - s + 1. Give b(n) - l(n).\nAnswer: 4*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(1 + 7568\/6). Is (c\/28)\/((-4)\/(-80)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5529ns in minutes?\nAnswer: 0.000000000109215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4670, -4711, -4772, -4847, -4930, -5015, -5096?\n\"Answer: q**3 - 16*q**2 - 4655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q. Let j(h) be the third derivative of 11*h**4\/24 - 78*h**2 - 1. What is g(j(d))?\nAnswer: -99*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 613\/(-15) + ((-34)\/(-6) - 5). Let c = h - -41. Factor -16\/5*k - c*k**2 - 12\/5.\nAnswer: -4*(k + 1)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p + 119. Let w(f) = f - 6. Determine -6*w(v) + y(v).\nAnswer: v + 155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 86 = -4*b, 0 = 3*f - 2*b - 112 + 20. Calculate the smallest common multiple of f and 2*2\/(-4) + 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**5 + 205*v**4 - 11935*v**3 + 37975*v**2 + 1361750*v + 4255000 = 0.\nAnswer: -74, -5, 20, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20662 - 20657. Solve g*b + 20 = -j, 91*j = 86*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 7779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-three halves of a kilogram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 645265 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-17)\/(-3) + -4)\/(52\/3084). Let t = l + -99. Which is the second biggest value? (a) t (b) 1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -u + 3*j + 37, 2*u = -4*j + 106. Calculate the highest common divisor of u and 3783.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 213 + -396. Let a = v - -144. Put 0.2, 3, a, 0.4 in decreasing order.\nAnswer: 3, 0.4, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-15)\/(-12))*-2*(-70)\/840.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*u + 2*u**4 + 677*u**5 - 651*u**5 + u**2 - 235*u wrt u.\nAnswer: 1560*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19193 is divided by 237?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3260 is divided by 53.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*((sqrt(70)*1*4*2)\/(sqrt(80)\/(-5*sqrt(40)\/sqrt(5))))**2.\nAnswer: -11197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 131*z - 13 - 14.\nAnswer: 131*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151 and 25217.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2433192 is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(6\/(-9)))\/((-7593)\/526448)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2873025 + 1695*q + 1\/4*q**2.\nAnswer: (q + 3390)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + 1*(-2 + (-3*sqrt(242)*-2 - (2*sqrt(242) + 0)) + 1)**2.\nAnswer: -88*sqrt(2) + 3870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14826 in -1, -3\/2, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v = -11*v - 153. Let z be 4\/((-2)\/1 - -3). Suppose 4 = z*p - 0. What is the greatest common factor of v and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2125*b**3*p**3 + b**2*p**2 + 161*b*p**3 - 14*b*p wrt b.\nAnswer: 12750*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 13*s + 3. Let t be z(-13). Solve 4*n = t*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 451\/345 + 3\/115. Which is the closest to -0.2? (a) o (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.2 (b) 1\/3 (c) -0.1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 13*t**3 + 4*t - 9. Let v be j(6). Let p be (-12610)\/(-39) + (-2)\/6. Let h = p - v. Round h to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 205*h - 963. What is the remainder when x(37) is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -8. Suppose l - t = -2*l + 5*m, m + 9 = 3*l. Let q(s) = 2*s**3 + 0*s - s**l + 0*s**3 - 6*s**2 - 2 + s. Determine q(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/30 - ((-48)\/(-30))\/(-4). Let d(y) be the first derivative of -1\/5*y - 6 + u*y**2 - 1\/3*y**3. Factor d(s).\nAnswer: -(s - 1)*(5*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyttuutiotiyipyuty. What is prob of picking 2 i and 1 t?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 - 50*s**3 + 185*s**2 - 130*s.\nAnswer: -5*s*(s - 2)*(s - 1)*(s + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118379 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 339289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*m + 678. Suppose -s = 2, -5*r - 5*s + 4*s = 1897. Let x = r + m. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4)*(-3 - 3 + 4)*(2*u**3 + 3*u**3 - 7*u**3)*(-36*u - 50*u + 14*u).\nAnswer: 864*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010100010100 (base 2) in base 3?\nAnswer: 1002212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3162, 2, 0, -40, 10 in descending order.\nAnswer: 3162, 10, 2, 0, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 898824*w**3 - w**2 - 364*w + 108 wrt w?\nAnswer: 5392944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in months?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-13)*530738\/(-183717)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = -p - 40. Calculate the remainder when 16 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 4*p**2 - 4*p**2 + 44*p**2 - 30*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -216, -402, -588?\n\"Answer: -186*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + o**3 - 2*o**2 + (2*o + 3*o - o)*(3*o**2 + 2*o - 2*o) + (-o**2 - 5*o**2 + 3*o**2)*(-o + 2*o + o) + 1 + 2*o**3 - 1.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -347*h + 349*h, -5*u + 2*h = 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 w when four letters picked without replacement from {w: 2, j: 1, c: 2, r: 1, m: 1, x: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Suppose 3*j + d = 31, -2*j + 4*d = 5*d - 20. Put q, j, -1 in decreasing order.\nAnswer: j, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47437, -94843, -142201, -189499, -236725?\nAnswer: -283867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.159416372 plus -53.75798?\nAnswer: -53.917396372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 9 = w. Solve z = 2*u - 6, z + 7 = 4*u - w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 18817970*j - 17705799746045.\nAnswer: -5*(j + 1881797)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 - 410*p - 9908. Calculate u(-177).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -230210 (base 5) to base 6\nAnswer: -101512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 8*y - 4. Let z be d(7). Let q = z - -7. Let s be (-53)\/q - (-18)\/24. What is the greatest common divisor of s and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 294277\/1368 + -4060\/19. Find the common denominator of 77\/180 and b.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 1380?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.08 + 0.02. Let p(m) = m**2 + 19*m + 94. Let d be p(-10). Which is the closest to d? (a) -3\/5 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a = 0. Let t = 10 + a. What is the remainder when 28 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 14 = -4*t, -5*t - 2*c - 4 = -7*t. Suppose 2*d + v + 1 = -0*d, -3*d - t = 2*v. Solve -d*x = -3 + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-11 + 17 + -5)\/3*9. Let i = 2533\/15 - 169. Suppose -4*x + 10 + 2 = 0. What is the nearest to w in x, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v - 8*v - 21000000. What is v rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -114.53387 to zero decimal places.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(12)\/(sqrt(216)\/sqrt(4)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 391*s**4 + 512*s**2.\nAnswer: 9384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**2*y**6 - t**2*y**2 + 81*t**2 + 302*t*y**6 wrt y.\nAnswer: -120*t**2*y**3 + 36240*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 310 = -5*s, -14*j = -15*j + 2*s - 61. Let u be j\/(-28)*11\/((-99)\/(-24)). Solve u*r - 5*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(285)\/sqrt(5)*6)\/(sqrt(24)\/sqrt(72)).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 + 4*p**2 + 4*p + 3. Let i(f) = -4*f**3 - 4*f**2 - 5*f - 4. Let l(n) = -4*i(n) - 5*q(n). Let v be l(4). Does 7 divide (32\/2 - 2)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1562.2 - 13333.8. Which is greater: j or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d - d + 2*d)*(198 - 94 + 194) to the form k + j*d and give j.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-400 - 159 + 93)*(-10 + 10 + 2*t)*(0*t**2 + t**3 + 0*t**2).\nAnswer: -932*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 25. Let f be -88*(12\/x)\/1. Suppose 7*s = 3*s + f. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165*p**3 + 331*p?\nAnswer: 990*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1f388 (base 16) in base 11?\nAnswer: -88095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04087686 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1439700 to the nearest 10000.\nAnswer: -1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 - 80*g + 195 = 0. Calculate g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**3 + 12*w**2 - 87*w + 270. Determine h(5).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 54*p**2 - 1255*p - 72. Is i(49) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -220102?\nAnswer: -220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**2 + 2310*g + 266805 = 0.\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, 949, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**3 - 6*s**3 + 4*s**3)*((3*s + 0*s - 2*s)*(0 + 1 + 0) + 3*s + 0*s - 2*s).\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p + 207. Let m(v) = -4*v - 104. Calculate -3*k(q) - 5*m(q).\nAnswer: 2*q - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11048 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j**2. Let h(q) = 4*q**2. Let c(p) = 5 - 6*p**2 - 5 + 9*p**2. Let b(t) = 5*c(t) - 4*h(t). Calculate y(b(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) -2 (c) 20 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 42342745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvt when three letters picked without replacement from {k: 1, w: 5, n: 2, d: 1, t: 1, v: 5}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -180, -676, -2000, -4554, -8740, -14960, -23616, -35110?\n\"Answer: -67*o**3 - 12*o**2 + 9*o - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 6:10 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 + -2)\/18*-3. What is the second smallest value in j, -0.5, -5, -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 4:53 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*c - i - 2, -5*i - 4 = 4*c. Let t(h) = 13*h**3 + 4*h**2 - 8*h + 4. What is the remainder when (-1)\/(-3) - 292\/c is divided by t(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d + 12*d = 350 - 791 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -201993995 and 14?\nAnswer: 201994009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1522134706 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15357, -171, 0.05, -6\/5 in increasing order.\nAnswer: -171, -6\/5, 0.05, 15357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + 0*c**2 - 3*c**2)*(-2 + 6 + 1) - 3*c**2 + 2*c**2 + 0*c**2 + (-2*c + 0*c + 0*c)*(39*c - 162*c - 21*c) - c**2 + c**2 + 2*c**2.\nAnswer: 284*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = 9. Let z = o + 10. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -318?\nAnswer: 1\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11434 + -262.60566. What is i rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2362, 9284, 20798, 36904?\nAnswer: 57602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r - 28. Let q be v(4). Is (-3)\/q - (15197\/4)\/(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.3*-0.032\nAnswer: -0.2976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1315*h + 2484*h = 125367 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 2*k - 14. Let m be r(5). Solve w + 5*l - l + m = 0, l - 2 = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2 - 30*g + 85. Let i(h) = -2*h**2 + 16*h - 42. Let r(t) = 3*f(t) + 7*i(t). Let o be r(-24). Solve o = 2*x - 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5470 divided by -4.\nAnswer: 2735\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + -5 + -4*sqrt(2057) + -3 + ((sqrt(17) + 2)*1 - 3*sqrt(2057)) + 4)**2.\nAnswer: 260*sqrt(17) + 71829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24689626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 767353775 to the nearest integer?\nAnswer: 27701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-20)\/8 + (-2)\/1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 - 2*j. Let w = 5 - 3. What is the remainder when 47 is divided by y(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**7\/42 + k**6\/2 - 2*k**2. Find b such that q(b) = 0.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6760457\/103 + -65636. Let t = -5617\/721 + j. Calculate the common denominator of -25\/123 and t.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38034511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 110418926?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (802 - 1572 - 798*o + 768)*(2*o**2 + 2*o**2 - 2*o**2).\nAnswer: -1596*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 330 = 6*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119981 = -18*s + 120215 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from ittiwiiwigwwwiiwii?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 346 - -381. Let o = 1504 + c. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.4, 7535, 11, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-28))\/(1086696\/39312).\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26d - 644be?\nAnswer: -6472b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41111\/524 + -104\/131. Let u = 79 + d. Which is the closest to 2? (a) 1 (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggvgdgglddllggglvggv. Give prob of picking 1 l and 1 v.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22598*z**2 - 46109*z**2 + 23532*z**2.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -9. Let n = i - -11. Calculate the greatest common divisor of n and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13932930390978 and -3?\nAnswer: 13932930390975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 534 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*z**3 + 6*z**3 - 10*z**3)*(-z + 5*z + 0*z)*(10*z - 12*z + 8*z).\nAnswer: -1536*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-168)*2*8\/(-4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/5 (b) 2\/3 (c) 2\/275 (d) 1\/12 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1868477.\nAnswer: 13, 143729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -14099783*w - 28199569. Give k(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**5 + 98*o**4 - 2503*o**3 + 5*o**2 - 3*o + 1716 wrt o.\nAnswer: 180*o**2 + 2352*o - 15018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -78*s - 2338. What is k(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 4 + (-5 + 0 + 3)*(0 + 0 + 2) - 2 + 4 - 1)*(9*w**3 - 3*w**3 + 5*w**3).\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yayya. Give prob of picking 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66158*d**2 - 67377*d**2 - 18*d + 35*d - 21*d to j*d**2 + m*d + h and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 164\/9 + -2114\/117. Let o = 156.5 + -157. Which is the second smallest value? (a) o (b) 0.3 (c) -1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001110000100111010110 (base 2) to base 15\nAnswer: 3580b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 - 9*i\/4.\nAnswer: -3*i*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = -j + 12*s + 2, 4*s + 28 = 5*j. Let d = 62 + -44. Let x = -16 + d. What is the biggest value in 1\/10, j, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/15 - 5626*n\/15 + 34836.\nAnswer: -2*(n - 90)*(n + 2903)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671 plus -10999.0451?\nAnswer: -9328.0451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqfg when four letters picked without replacement from {f: 1, c: 1, k: 3, g: 1, q: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11724, 23256, 34790, 46326, 57864?\nAnswer: 69404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uululuuuuuuuuluuuu. What is prob of sequence lulu?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 56467651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 5) in base 6?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 - r**5 - 3*r**5 - 79*r**3 + 43*r**5 + 79*r**3 + (-2*r**3 + 4*r**3 - 3*r**3)*(r**2 + 0*r**2 + r**2) - 5*r**2 - 2*r**5 + 0*r**5 + 3*r**2.\nAnswer: 35*r**5 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*-1*15\/(-12). Suppose -62 = -s*c + 2*g, 2*c - 13 = c + g. Solve 5*m = 3*v + c, 5*v - m = -2*m - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -13*s**2 - 464*s + 2294. Give u(5).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g = 18*g - 23. Put 0.28, 17, g in increasing order.\nAnswer: g, 0.28, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/144968705 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**3 + 7*q**2 + 6*q. Let x(w) = -7*w**3 - 15*w**2 - 13*w. Determine -13*b(i) - 6*x(i).\nAnswer: -10*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 5*p**2 - 3*p - 3. Let c(a) = 7*a + 31. Let t = 48 + -53. Let i be c(t). Determine q(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 18*y - 7. Let p be v(4). Solve -48 = 3*i - p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 15118.35 minutes?\nAnswer: 907101000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 345713735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39502? (a) 0.2 (b) -3 (c) 0 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56884223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from eixwsmi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -146, -148, -150, -152, -154?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/14)*o)**36\/((o\/(o**19\/o))\/(o\/(o\/(o**(2\/51)*o*o))*o)) assuming o is positive.\nAnswer: o**(17252\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45050382 divided by 570258.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10) - 48912\/(-320985).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 0.732523907.\nAnswer: 4.267476093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 477, 476, 475, 474?\n\"Answer: -c + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (28 - (4 + -11 + 12))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1100010101111001000111 (base 2) to base 11\nAnswer: -190a892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1010010010011110011011010001?\nAnswer: 1010010010011110011011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/a)\/(a**(3\/2)*a*a*a) assuming a is positive.\nAnswer: a**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide -5 + 4 + 1 + 5 - -145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**8\/840 - g**7\/231 + g**6\/495 + 137*g**3\/6 - 44*g**2. Let z(v) be the first derivative of i(v). What is f in z(f) = 0?\nAnswer: -2, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 195 = q. Let i(w) = 407*w + 1288. Let g be i(-3). Let u = q + g. Solve 0 = -u*o + 3 + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7783 is divided by 24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 114, 263, 472, 741?\n\"Answer: 30*u**2 - u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 10*p**2 - 14*p + 17. Let f be v(-8). Let w be 6\/(-2) - f\/2*-2. Sort -0.4, -1.4, w in increasing order.\nAnswer: w, -1.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -94 + 10bc40?\nAnswer: 10bb79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1789641.6754 and 0.5.\nAnswer: -1789641.1754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*b**5 - 48936*b**4 - 214078*b**3 + 458580*b**2 - 205200*b = 0 for b.\nAnswer: -6, 0, 5\/6, 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51? (a) -11 (b) -0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) + 99\/(-15). Let a(m) be the second derivative of -m**3\/2 + 4*m. Let w be a(2). Is i at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15437.81754 to the nearest one hundred.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 26 = -2*k - 5*l, 0 = 5*k + 3*l - 186. Calculate the lowest common multiple of k and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4503766926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 168972972?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2. Suppose 42 = 3*r - 39. Let n(a) = -21*a + a**2 - r*a + 48*a. Give n(z(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 135 + -140. Which is the nearest to -2? (a) r (b) 2 (c) -3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111 (base 2) to base 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(k + 0 + 0)*((-2 - 3 + 3)*(8*k - 10*k - 6*k) - 5*k - 2*k - 10*k + k - 2*k + 0*k) as b + t*k + h*k**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 2, -0.5, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n + 17. Let d be c(-8). Let s = d + 32. Let r(k) = -k - 9 + s + 10. Calculate r(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29913 - -64493. What are the prime factors of n?\nAnswer: 2, 5, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.9 - 0.1. Let k = -12.8 - -13. Let i = 73\/93 + -45\/31. Which is the nearest to -0.1? (a) s (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21654176 by 5413544.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -172*i**3 - 35072*i**2 + 3724828*i - 346192 = 0?\nAnswer: -281, 4\/43, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2794?\nAnswer: 2, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(32))**2 - -4*(sqrt(2) + 1).\nAnswer: -12*sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 6*g**4 - 7 + (-5*g**2 + 0*g**2 + g**2)*(-2*g**2 + 1 - 1) - 3*g**4 + 7*g**4 - 2*g**4 - 3*g**4 + 4*g**4 - 2*g**4.\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12203220 (base 4) to base 9\nAnswer: -40750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -87*x**3 + 2*x**2 + 2*x - 28. Let w(k) = -k**2 + k + 12. Let n(j) = -2*d(j) - 4*w(j). Let g(o) = -116*o**3 + 5*o - 5. What is -8*g(p) - 5*n(p)?\nAnswer: 58*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 307657291 and 263241.\nAnswer: 307920532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9988 by 4.\nAnswer: -2497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -124, -122, -114, -100, -80?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 15*v + 18. Let j be b(14). What is the highest common divisor of 6 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10667327?\nAnswer: 11, 969757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 10 = 5*t. Let f be 2\/10 - 99\/t. Solve -4*p + f = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621252.\nAnswer: 2, 3, 17257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -20. Let a = u + -27. Suppose -6*s = -7*s + a. Let g(r) = -16*r + 6. Let d(t) = 3*t - 1. Determine s*d(j) + 2*g(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/14*6*(-64)\/108 + 81.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r. Let n(u) be the second derivative of u**7\/1260 + 3*u**4\/2 + 17*u. Let k(j) be the third derivative of n(j). What is g(k(f))?\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**9\/7560 - a**6\/720 + a**5\/10 + a**2. Let w(x) be the third derivative of d(x). Differentiate w(g) wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234025933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.51 + -0.49. Let o be (-7)\/(-28) - 3\/((-108)\/(-5)). Let y(m) = -9*m + 45. Let w be y(5). Which is the closest to w? (a) 5 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - ((-11)\/35 - 12\/42). Let a = 1 - 1.1. Sort a, -2\/15, t in decreasing order.\nAnswer: a, -2\/15, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + t**3 + t**4 + 0*t + 33 - 34. Let a(y) = -5*y**4 - 2*y**3 + 2*y + 5. Let r(w) = a(w) + 2*x(w). Differentiate r(g) wrt g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 52*a + 40*a = -2*u - 63 + 18, 53 = -3*u + 11*a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 14) to base 4\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*n = -3*n - 6, 0 = -4*v - 4*n + 16. Suppose 4*l - 3 = v. Let k be 6\/4 + (-3)\/2. What is the third biggest value in k, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 173344831 to the power of 1\/2, to the nearest integer?\nAnswer: 13166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*x = -9, 678*u = 674*u - 2*x - 24 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 445, 7, -3, 140, 3, -1 in increasing order.\nAnswer: -3, -1, 3, 7, 140, 445","meta":{"dup_signals":{},"source":"comparison__sort_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: Is 341533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -168, 5, 0.27, 135, 0.3, 1?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3468 (b) 0.1 (c) -4961\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eje when three letters picked without replacement from {j: 17, e: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 120222001022 (base 3) in base 12?\nAnswer: 131a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 4. Give k(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 11)*(3 - 3 + j + (-6 + 1 + 3)*(1 - 2*j - 1) + j + 0*j + j) to a*j + z and give a.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 704 + 2199. Suppose 45*j - 382 = x. What are the prime factors of j?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*1*(-16)\/80.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/5 + 10\/(-40) + 66\/(-24)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 16*y**2 - 17*y + 2. Let j = -71 + 54. Let q be g(j). Solve -3 - 1 = -q*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 28*w**2 + 4*w + 3. Let p(b) = -14*b**2 - 2*b - 1. Let q(n) = -2*a(n) - 5*p(n). Is q(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 57*j. Let l be z(1). Let v = l - -18. Suppose 2*w + v = 309. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6339 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**4 + o**3 - o**2 - o - 1. Let x(y) = -y**4 + 6*y**3 - 7*y**2 - 6*y - 4. Let v(d) = -4*s(d) + x(d). Find r, given that v(r) = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 598 - 191. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 9:12 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47281, 189122, 425525, 756490, 1182017, 1702106?\n\"Answer: 47281*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**3\/3 + 5*q**2\/2 + 9*q + 7. Let m be z(-6). What is the derivative of -1 - m*o**3 + 34*o - 34*o wrt o?\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a - 8. Let q(m) = 16 - 31*m + 77 - 54*m + 2. Let k(z) = 6*q(z) + 70*u(z). What is the derivative of k(g) wrt g?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 109, 196, 281, 364?\n\"Answer: -s**2 + 92*s - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4, p + 4*n + n + 1 = 0. Suppose -20 + p = 2*x. Is (-4045)\/(-20) + (-6)\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97\/68 - 20\/17. Suppose -5*u = -4*l - 70, 3*u = 2*l + 23 + 21. Suppose 2*h + 6*x + u = x, -5*h - 5*x = 15. Does h = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151812, 152891, 153968, 155043, 156116?\nAnswer: 157187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -459*s**3 - 462*s**3 + 2*s**5 - 28*s**2 + 8*s**4 + 923*s**3 - 40*s - 16 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 13. What is t(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**2\/3 - 76*c\/3 + 352\/3 = 0. What is c?\nAnswer: 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 19*i - 12730650 = -12729026 for i.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -24*m**2 - 19*m - 7. Let h(a) = -36*a**2 - 29*a - 11. Let y(p) = 5*h(p) - 8*q(p). Suppose y(o) = 0. Calculate o.\nAnswer: -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -7*g**6\/60 + g**5\/60 - 72*g**2. What is f(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 13*w**2 - 2*w - 2. Give l(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 13)\/(5\/(-10)). Let z = 52 - t. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + f - 1. Determine n(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5*-26151254\nAnswer: -130756270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-4)\/(1 + -3). Let j be (0 - (v + -41))*-2. Let t = -49 - j. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.424326 to two dps.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrpfjrjjj. Give prob of sequence jjj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 884 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -5\/3, -2\/9, -8, -53?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 56\/(-36) + 3 - -1. Let z = 97\/36 - o. Factor z*i**2 - 1\/4*i - 1\/2.\nAnswer: (i - 2)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 15*q - 660. Determine n(34).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42188, -84379, -126570, -168761, -210952, -253143?\nAnswer: -295334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.29 plus 1298?\nAnswer: 1402.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 24 = -64*w, -k + 206*w - 102*w + 8 = 100*w for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1832673216 divided by 4?\nAnswer: 458168304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6 + (-83)\/(-166).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221486, -442946, -664400, -885848, -1107290, -1328726?\nAnswer: -1550156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 292\/1391 - 6\/107. Which is the third biggest value? (a) 2\/3 (b) -23 (c) -0.3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -142 (b) -2 (c) 4309\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 124652123?\nAnswer: 124652130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8563269361 and -2?\nAnswer: 8563269363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 9*n**2 + 9*n - 13. Suppose -5*x = -6*q + 3*q + 44, 3*x = q - 28. Give u(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiccnccczznc. What is prob of picking 1 z and 1 n?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 1 + t - 7*t**2. Let f(m) = m - 10. Let l be f(11). What is n(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(sqrt(1008)*-4 + -2) - (2*sqrt(1008) + 4 + sqrt(1008) + 5 + sqrt(1008) + sqrt(1008) + 1)**2)*-1.\nAnswer: -50608 - 2592*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3 - 2*c - 1 - 7*c. Let z = 16 + -9. Let x(o) = 2 + 19*o + 1 + 2*o - 25*o - 9*o. Give z*g(w) - 5*x(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23866 - 8?\nAnswer: -23875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * -3489.77.\nAnswer: -4536.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29.3 + -0.3. Let s = n + -28.8. What is the nearest to -0.1 in -3, s, 4\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -218*w**2 + 1323*w - 1813. What is g(2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**3 - r**2 - 2. Let v(y) = -5*y**3 - 2. What is -3*f(c) + 4*v(c)?\nAnswer: -2*c**3 + 3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 6:12 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5881*a**2 - 29404*a - 2. Give l(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 76?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.1. Let m(t) = 5*t**2 - 4*t + 1. Let y be m(1). Let g = -0.1 - -0.3. What is the nearest to y in 1, g, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 15, 28, 45, 66?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -66. Suppose 4*u + 153 = 3*l, -l - 2*u = -u - 58. Let y = f + l. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 2*j + 2*j + 1 - 9*j**3. Let l be r(-1). Let v(n) = n**2 - 8*n + 8. What is the remainder when 14 is divided by v(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 8:21 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 999 = -5*h. Let c = h - 34. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -36 + 54 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (540\/21)\/(-2)*(-56)\/(-16)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 26298.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -w + 9. Suppose -5*r + 18 - 78 = 0. Let j(o) = o**3 + 12*o**2 - 5*o + 1. What is the remainder when j(r) is divided by w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -855 - -1300. Calculate the remainder when y is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 12. Let l(r) = -10*r**3 + 2*r**2 - 1. Let f be l(1). What is the units digit of p(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.468 - 15.469926. Round u to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 4*r + 3. Let g(o) = o**3 - 7 - 4*o + 3 + 0*o - o. Let h(p) = -3*g(p) - 4*s(p). What is the second derivative of h(u) wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a**2 + 8*a + 5. What is the remainder when r(-3) is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -5. Let l be -2 - u*11 - -2. Calculate the greatest common divisor of 242 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2923711230 - -244?\nAnswer: -2923710986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 5)*(-2*u - u + u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 12*x**2 - 33*x + 56. Determine h(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5. Let x(o) = -o + 6. Determine -6*a(m) + 5*x(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 13. Suppose 75 = p*n - 135. What is the greatest common divisor of n and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 21 = -2*n + 4*y, -y - 24 = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -175653 (base 8) to base 11\nAnswer: -44450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86 and 421812?\nAnswer: 18137916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*l - 9 = -2*l, -2*o = -3*l - 18. Sort -361, o, 0, 1 in descending order.\nAnswer: o, 1, 0, -361","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 3:38 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 4)*(3*q**2 - 2*q**2 + 0*q**2) - 2*q**2 + 3*q**2 - 3*q**2 + (q - 3*q + 5*q)*(13*q + 7*q - 8*q))*(2 + 0 - 6)*(-2*q - 3*q + 3*q).\nAnswer: 280*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.95 in -0.3, -2\/11, -0.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 6)\/((-4)\/(-24)). Let r be (-111)\/a + (-3)\/12. Suppose -4*t - 2*h - 6 = 0, -2*h + r = -t - 5*h. Solve -2*p + t = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189995240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133644 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 5 = 4*o - 3*a, -3*a = 9. Solve -x - o*x - 9 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3555 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 7*q - q - 4*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -p + 7*a - 17, -3*p = -3*a + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -3. Let v be 16\/i + (-6)\/9. Differentiate 5 + 6*u**v - 3 - 5*u**2 wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c**2 + 8*c - 4. Calculate z(3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3988447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 4, 2*s + 8*i - 3 = 13*i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4. Let d be s - 0\/(-2 - -4). Suppose 5*j = 5*p + 15, 2*p - d*j = 3*j - 21. Solve h = 3*h + 5*g, -g = p*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3603, 28632, 96555, 228816, 446859, 772128, 1226067?\nAnswer: 1830120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6538156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -13. Let r(w) = -29 + k + 13*w**2. Let z(i) = -2*i**2. Determine z(r(a)).\nAnswer: -338*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 851\/814 + (-12)\/22. Let 27\/2*w**2 + r + 6*w**4 + 31\/2*w**3 + 9\/2*w = 0. What is w?\nAnswer: -1, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*z + 2*b - 25, -4*b + 20 = 3*z. Suppose 2*q - 4 = 2. Which is greater: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5386\/4335 and 3\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.21931*-4.\nAnswer: -8.87724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*i**2 - 2 - 1 + 3 + 17*i to the form n + k*i**2 + w*i and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a + 128. What are the prime factors of g(13)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8160995710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16147912 and 8073956.\nAnswer: 16147912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - 0.2. Let t = -0.7062 - -0.2062. Sort 0.13, -3, t, g in decreasing order.\nAnswer: 0.13, t, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167716 is divided by 1089?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12))\/(((-4)\/8*1)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*c - 56*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/9, -2, 3, -5, -4 in decreasing order.\nAnswer: 3, 5\/9, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 568 - 68. Suppose 48*v = 28*v + p. Let a(c) = c**2 + c - 4. Let n be a(0). Is n greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 5, u: 5}. Give prob of picking 1 u and 1 t.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40969551 to the power of 1\/4, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, d: 5, b: 4, h: 1}. Give prob of sequence hdd.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + (sqrt(325)*-1)**2 + 5 + -2 + -2 + sqrt(325) - (-3 + sqrt(832)*-1 + 1 + (-2*(0 + sqrt(832)) - sqrt(832))**2).\nAnswer: -7160 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/12*(-348)\/1218.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 + -42. Let h be 5\/(10\/4) + (-10 - c). Does 14 divide (h + -2 + -3)\/(11\/(-231))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*4)**2*5.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.058 in 38, 0, 7\/5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 11. Calculate the remainder when 1\/(-5) + (-780)\/(-25) is divided by u(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, 24, 65, 126, 207, 308, 429?\n\"Answer: 10*w**2 - 9*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/195 - (-62)\/104?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (147\/(-28))\/((-2)\/(-24)). List the prime factors of (-7460)\/(-36) - (-14)\/a.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.57 - 0.5585. Round c to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 3*q + 1 + 2*q)*(-1 + 3 - 6)*(-1 + 3 + 0 + (-1 + 0 + 3)*(2 - 4 + 1) + 0 - 1 + 4 - 2 + 0 - 15).\nAnswer: 168*q + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23187 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b4 (base 13) in base 10?\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -345, -39, -3 in descending order.\nAnswer: -3, -4, -5, -39, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2108 and 97\/3928.\nAnswer: 2070056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**4\/3 + 4*q**2 - 3*q - 2. Let d(t) = 53*t**2 - 2*t. Give d(b(a)).\nAnswer: 3392*a**2 - 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8)\/(r*r**(2\/9))*(r*r**2*r)\/(r*(r**(3\/5)\/r)\/r))**(2\/87))**(-8\/7) assuming r is positive.\nAnswer: r**(496\/3915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110001111 + -100010000?\nAnswer: -10010010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (805\/(-1955))\/(((-510)\/(-17))\/510).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1945 divided by -389\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3) - (-1 + 15 + -14). Which is the nearest to -1? (a) -0.4 (b) 4 (c) 10 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -77. Suppose k - 3*b = 18, 3*b + 0*b = -3*k - 6. Suppose -2*v = -k*v - 2*i + 8, 5*v - j = -3*i. Solve d = -d + v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 4:43 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2. Let i be (-2)\/3*(3 - 0). Let o(t) = -t - 10. Suppose -15 = 3*j, -4*k - 3*j + 21 = -0*j. Give i*o(z) + k*s(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 818\/12859?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/3 - -17) + 0. Which is smaller: 21 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/14*7 - -2255?\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 2283448.\nAnswer: 17\/1141724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h = -22*h + 7. Solve 4*u - 26 = 2*t, -3*u = -3*t - h - 17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/5 + 25944816*h**2\/5 + 51889638*h\/5 + 5188964 = 0. Calculate h.\nAnswer: -1, 12972410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 1307631*k - 206680590.\nAnswer: 3*(k - 436035)*(k + 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1238*d - 151087. Calculate q(122).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/5*a**2 + 0 + 6\/5*a + 3\/5*a**3.\nAnswer: 3*a*(a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 3. Let u(q) = -3*q + 7. Let f(g) = -g**3 - 21*g**2 + 25*g + 60. Let w be f(-22). What is w*u(m) + 15*b(m)?\nAnswer: 3*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4897 divided by 59.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 164\/(-800) - 10\/240*-3.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227 - 456 + 229 + 4*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 24. Solve k*r - r = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15632, 1, 2, 193 in decreasing order.\nAnswer: 193, 2, 1, -15632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 + 10*m + 126. Let r be t(0). Let j(u) = -15*u + 8. Let s be j(6). Let v = r + s. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(152)*-1 - sqrt(152)))\/sqrt(8) + (sqrt(38)\/sqrt(2) + 3)*-4)*-6.\nAnswer: -48*sqrt(19) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -5. Let k(v) = 7*v**2 - 11*v - 1. Let a(d) = -d + 3*d**2 + 0*d - 4*d. Let h(f) = p*k(f) + 5*a(f). Let h(n) = 0. Calculate n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -817 + 1961 = -13*h. Let v be (6\/(-8))\/(22\/h). Suppose -2*q - v*y + 194 + 154 = 0, 0 = -4*q + 3*y + 660. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155\/58 less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1439*d**2 - 2659*d**2 + 1228*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*-154.6.\nAnswer: -9.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5450 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -280*i**3 - 3*i**2 + 22*i + 86.\nAnswer: -1680*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 52 * 0.9\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.2125, -23\/4 in ascending order.\nAnswer: -9, -23\/4, 0.2125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0*m**3 - 15*m**2 + 0*m**4 + 1\/30*m**5 + 0 + 0*m. Let n(k) = -5*k**2. Calculate y(n(v)).\nAnswer: 50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 5*i - 3\/2.\nAnswer: -(2*i - 1)*(4*i - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 725*w + 0 + 0 - 819*w to the form v*w + s and give v.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 1, -4*l - 7 - 40 = -5*t. Let b = -8 - l. Suppose -y = 5, g - 3*y + 5*y + 11 = 0. Sort g, -2, b in descending order.\nAnswer: b, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 33*j + 1. Let m(k) = 8*k**2 + 67*k + 3. Let f(a) = 5*g(a) - 2*m(a). Let h be f(5). Solve d = -h*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 547*c**5 + 28659*c**4 + c**2 - 27*c - 600661?\nAnswer: 32820*c**2 + 687816*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1985719 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1062 + -1066. Let k(p) = p**3 + 5*p**2 + 8*p + 8. Calculate k(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 72, 98 in descending order.\nAnswer: 98, 72, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let y = 254.4 - 281. Let p = -27 - y. What is the second smallest value in j, 2, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1917.7 - -1917.5. What is the second smallest value in 1, 5, 8\/23, o?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n - 18*n = 50. Suppose 14 = r + m, 6*m = r + m + n. Which is smaller: r or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111576 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 113*g - 103*g. Do 264 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 i when three letters picked without replacement from {q: 1, j: 2, i: 7, e: 2, h: 7}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from vivivvvvvvvvv?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000108691595 rounded to 7 dps?\nAnswer: 0.0001087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1270\/3 - -422. Which is the closest to -1? (a) 3\/4 (b) y (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3 - -4) - (126\/(-7))\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005843 to five decimal places.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 9*q + 46. Let d be n(-16). Let f be 2 + -1 - ((-84)\/d)\/2. Which is the third smallest value? (a) -4 (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 494, 2013, 4556, 8129, 12738, 18389, 25088, 32841?\nAnswer: 41654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2513517 or -2513412?\nAnswer: -2513412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -1, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, -0.02, -4\/3, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26 + 703c1?\nAnswer: 70398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*u + 4 = -3*u, -4*u - 5 = -x. What are the prime factors of 9\/(-6)*-22*x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.38 + 33.62. Is 13 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1054774)\/(-175812) - (1 - -5). Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 3*u - 2 = 15*w, 2 = 3*w - u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 769.9679 centuries in months?\nAnswer: 923961.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**1\/c*c*(c\/(c**(1\/9)*c))\/c)\/(c**(-2)*c)**(-19\/5) assuming c is positive.\nAnswer: c**(-131\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q + 103. Let j be m(0). Let a(k) = -6*k**2 - 209 + j + 108. Calculate a(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*-1*((sqrt(252) + 0 + 0)**2 + 3*(sqrt(252) - (0 + sqrt(252) - sqrt(252))))*-4.\nAnswer: 432*sqrt(7) + 6048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 bigger than 38\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3801 divided by -5\nAnswer: 3801\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tom when three letters picked without replacement from {t: 4, j: 6, a: 3, m: 3, n: 2, o: 1}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -266 divided by 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2. Let a(b) be the second derivative of -5*b**3\/3 + 16*b. Determine a(d(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69 - 66 + 256*x + 135 + (-x - 2*x + 2*x)*(1 - 3 + 1) + x + 1 - 1.\nAnswer: 258*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*h**3 - 1\/6*h**4 - 1\/6*h**2 + 1\/3 - 1\/2*h.\nAnswer: -(h - 2)*(h - 1)**2*(h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1813*q - 7826*q - 4736*q + 1.\nAnswer: -10749*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efpfepeeffee. Give prob of sequence epep.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -426 + 1159. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**2\/7 + 3789*f + 26526\/7 = 0. What is f?\nAnswer: -1, 8842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55071, 55623, 56535, 57801, 59415, 61371?\nAnswer: 63663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p. Let o be -4*1 - (-1 + p). Which is smaller: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1692 divided by -4.\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-151)\/755)\/(2\/(-12)). What is the closest to x in 0.13, 1, -5, 4\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o. Let h be l(3). Let n be h\/4 - (2 - 25). What is the common denominator of -6 and ((-2)\/n)\/(3\/(-87))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 380452.9 millennia to years.\nAnswer: 380452900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34287694, 68575385, 102863076, 137150767?\nAnswer: 171438458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 6 - (49 - 50)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1842 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34829 and 70859.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11609, 23222, 34837, 46454?\nAnswer: 58073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 0.0572 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2578668, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 688 and 2560.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 4185*n - 4183*n = 64 - 28, -8 = -4*n for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 8*y**2 - 8*y - 20. Let u be n(-8). Let k = -40 + u. Solve 6*f - 2*f - 4*m = 12, -k*f - 2*m = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3520 and 1427624?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 50559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1 + -36)*23832\/15888?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, f: 12}. Give prob of picking 1 f and 3 v.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17945, 36234, 54871, 73856, 93189, 112870?\n\"Answer: 174*d**2 + 17767*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45874455 and 1320.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -72*o**5\/5 - 46776*o**4\/5 + 109414*o**3\/5 - 79516*o**2\/5 + 18254*o\/5 - 1304\/5 = 0?\nAnswer: -652, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 - 644*r - 155526.\nAnswer: -2*(r + 483)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 41 = 4*p. Let x be (8 + p)\/(2\/(-30)). Let y be (-32)\/(-10) - (-3)\/x. Solve 3 = -y*v + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/7 and (4 - 106\/(-4))\/(3\/(-2))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78620591 - 78620578 + 157241169 + 2*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + -23 + 3 + 13 + 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + o = 5, 2*r + o - 25 = -4*o. Let f(g) = g + 1. Let y be f(r). Let z be (5\/8)\/y - 1. Sort 3, z, 2\/7 in descending order.\nAnswer: 3, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**3 - 3 + 3)*(-3*i + i + i) + 62*i**4 - 35*i**2 - 23*i**2 - 64*i**4 to the form b*i**3 + z*i + r*i**4 + l*i**2 + o and give l.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.9656 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**4 + 3*d**3 + d + 1. Let q(o) = -2032*o**5 - 4*o**4 - 6*o**3 + 2072*o - 2. Let r(x) = q(x) + 2*s(x). Find the second derivative of r(a) wrt a.\nAnswer: -40640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y - 24*y + 1422 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Let n = a - 0. Let f be 2 + (-2 - 0) + 2. Which is greater: f or n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(-8)\/60*3. Solve -2*c = -v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1843, -1840, -1835, -1828?\nAnswer: -1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 4*k + 5*o, 0*k + 3*o = -2*k + 65. Suppose -4*y = 4, -5*y = -2*i + 3*i + k. Let g = i - -39. Calculate the remainder when 18 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5448.92 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, 2, 5, 85, 4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -5*d + 39. What is the remainder when d + -1 - (-24 + 9) is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 1, u: 1, j: 4, o: 4}. Give prob of sequence jpu.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**4\/23 - 754*y**3\/23 - 84992*y**2\/23 - 2480040*y\/23 = 0.\nAnswer: -166, -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -21\/2, 3\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431 = -304*a - 2559 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 395658 and 131886?\nAnswer: 395658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21824215 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**2 + 9*s - 82 + 44 - s + 2*s. Let r be 9\/3 + -1 + -7. Let q(o) = -2*o - 9. What is r*z(v) - 6*q(v)?\nAnswer: 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/5 - 23844*d\/5 + 6041434\/5 = 0. What is d?\nAnswer: 259, 11663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, n: 2, z: 1, y: 1}. Give prob of sequence na.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -101000111111100101000110101?\nAnswer: -101000111111100101000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 212 = -5*q + 2014, -y - 3*q + 606 = 0. Calculate the greatest common factor of y and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -17*g - 75. Let p = 23 + g. Sort 3, p, 6, 2 in decreasing order.\nAnswer: 6, 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87948675 divided by 17589735\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1945902 and 5136?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 875940 and 1040.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144 - ((-10)\/2 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z - 222. Let s be r(29). Solve 39 = s*d - 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 60 = 3*z - 66, 0 = -z - 2*x + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*d**3 + 52*d**2 - 52*d**2.\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37721?\nAnswer: 67, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/8*-26 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (918\/153)\/((-216)\/423).\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 11 - (27 - 34)) + 15.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2*-1*(6\/(-84))\/((-252)\/(-82908)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 54588 = -4*v, -59311 = -3*w - 3*v - 18352. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/3 + 4*z**2 + 6*z + 8\/3 = 0 for z.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - h**2 - 19*h - 45. Give r(-4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - n - 5, -5*h + 2*n + 3 + 7 = 0. Let g(w) = w**2 + 3. Let s be g(h). Suppose -s*x = -x - 8. Calculate the greatest common factor of x and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62.65 + 381.55. Let u = a + -341. What is u rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20775, -41561, -62347, -83133, -103919?\n\"Answer: -20786*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 457092?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2682)\/(-198) + -16 + 3. Let -4\/11*k**3 + s + 16\/11*k + 6\/11*k**2 = 0. Calculate k.\nAnswer: -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*h = -92, 3*h = 2*u + 3*u + 134. Calculate the remainder when 1\/(-2*2\/u) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkkt when four letters picked without replacement from kktkktkttkktk.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -131 - -306. Calculate the highest common divisor of p and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5123 + 5353. Calculate the highest common divisor of p and 1978.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1096 or 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -9 (b) -0.1 (c) 8 (d) 4 (e) -2\/11 (f) 346 (g) -1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 301300?\nAnswer: 301230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**6\/30 + z**5\/5 + z**4\/2 + 2*z**3\/3 + z**2\/2 - 5*z. Factor j(s).\nAnswer: (s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 5*b**2 - b + 2. Let n be z(-5). Let o = -3 + n. Suppose m + o*m + 62 = 4*a, -m - 54 = -4*a. What is the greatest common factor of a and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 8*c**2 + 3*c - 4. Let l be s(8). Let j = l + -10. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*c - 1. Suppose -c*z = 5*o - 3*o, -o - 4*z = 0. Suppose 2*b + o*b - 16 = 0. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 985 divide 639114295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42713 is divided by 236?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 432112123 and 13389.\nAnswer: 4463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 2*g - 4*r + 18, 3*g + 2*r = 12. Calculate the greatest common divisor of g and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/4, -16.223, -2 in descending order.\nAnswer: 9\/4, -2, -16.223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 9*k**2 - 7*k + 9. Let v be t(-8). Solve -v = 3*j - 0*x - x, 7 = -5*j - x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3708 - -0.0498. Round z to 2 decimal places.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000063869642 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114804858125 - -285.\nAnswer: -114804857840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13540631*k**3 + 217045893*k wrt k?\nAnswer: -81243786*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 11*h**3 + 9*h**2 + 4*h. Let c(f) = -3*f**3 - 3*f**2 + 4*f**2 - f - 3*f**2. Let u(z) = 9*c(z) + 2*l(z). Find the second derivative of u(o) wrt o.\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/15 or 4.79?\nAnswer: 4.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -36198444?\nAnswer: -1\/9049611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 517525.\nAnswer: -16\/517525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**3*v**2 - 14247442*l**3*v*w**2 - 2*l**3*v*w + l**2*v**2*w**2 + 318127*v**2*w wrt w.\nAnswer: -28494884*l**3*v + 2*l**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Let m be a\/(-3) + 5\/3. Suppose 4*z - 2*x - 63 = 3*x, -64 = -m*z - 4*x. What is the lowest common multiple of 18 and z?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 14, 42, -2\/9, -1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*(-1357)\/(-5). Let c = q - 654\/5. Calculate the common denominator of c and -43\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 11*w**2 - 346*w - 348. Let a be h(-1). Factor -5\/2*o**3 - a + 45\/2*o + o**2.\nAnswer: -(o - 3)*(o + 3)*(5*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = 4*r, 37*m + 33 = 32*m + 4*r. What is the closest to -3 in 2, -1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 3. Let q be r(-5). Let y(j) = -j**3 - j**2 - 2*j - 11. Let n be y(-8). What is the common denominator of 9\/14 and n\/(-36) - (-1)\/q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 4*j + j + (-24*j + 59*j - 28*j)*(137 - 37 - 21).\nAnswer: 559*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 46332038.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 - 2*i**2 + i**2 + ((-2 - 2 + 5)*(-2 - 2 + 3) + 4 - 4 - 1 + 10 - 5 - 10)*(-i**2 + 4*i - 4*i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18902 (b) 8 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -87*d**3 - 3*d**2 - 3*d - 177. Let m(f) = 89*f**3 + 2*f**2 + f + 177. Let w(p) = -2*c(p) - 3*m(p). Find the second derivative of w(t) wrt t.\nAnswer: -558*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 10)*(u + u - 4*u)*(0 + 24 + 12) to i + s*u and give s.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 86064229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 97771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -18*g + 468. Solve -5*n + g = 4*v - 3*n, 15 = 3*v + 5*n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -298, -595, -892, -1189?\n\"Answer: -297*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/19? (a) -71 (b) -2 (c) 1 (d) -1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1601.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 0. What is the nearest to -0.4 in 5, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*f = -0*l - 58, 2*l + 3*f = 42. Let h = 35218 - 35214. Solve 18 = -2*s - 4*u, h*s + 2*u + l = -0*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 4*t - 2*t + 2*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/3 - 205718*l**3\/3 + 205717*l**2\/3.\nAnswer: l**2*(l - 205717)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**3 + 1693*o**2 - 11733*o + 199. What is u(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.68 - -40.68. Sort -7, d, 4, -3\/5, 0.18 in descending order.\nAnswer: 4, 0.18, -3\/5, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 1:32 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005613 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1039 or 0.035244?\nAnswer: 1039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -1) + -2 - 8 - -16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -5000066496.\nAnswer: -5000066501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 6*y + 5. Let v be p(5). Are -1\/2 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2447, -2256, -1933, -1478, -891, -172, 679?\n\"Answer: 66*l**2 - 7*l - 2506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 + 172 = 40*o. Sort 0.3, -56, o in descending order.\nAnswer: o, 0.3, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + (-5 - -6) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + p - 14, g + 5*p - 52 = -2*g. Let u = -25 - -48. Calculate the remainder when u is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.9 not equal to 2\/109775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 0.1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 230\/7 - 2656\/77. What is the second smallest value in i, 0, -5, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*y\/(y\/(y**(3\/2)\/y)*y*y)*y*y*y*y*y**(-5\/4)*y*y**(1\/3)*y assuming y is positive.\nAnswer: y**(67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-32)\/8*9\/324).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -161*h**3 - 3*h**2 + 3*h - 2. Let d be b(1). Sort d, 5, 2.\nAnswer: d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(45\/12 - (2 + 1)). Find o such that d*o + 2\/3*o**2 + 8\/3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284, 2, -6 in descending order.\nAnswer: 2, -6, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 854 and 116830?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, z: 3}. What is prob of picking 2 z and 2 u?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867681.\nAnswer: 3, 229, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -2\/9, -0.4 in descending order.\nAnswer: -0.07, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1097\/7 - 157. Which is greater: 0.26 or g?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5379 + -1618. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 532\/(-220)*54\/(-3213) and -73\/1020.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(9) + (sqrt(9) - (sqrt(9) - sqrt(81)))) - sqrt(2)) + 3.\nAnswer: -3*sqrt(2)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o + 6. Let y be z(2). Let j be y + 7\/((-21)\/(-48)). Solve -4 = 4*w + j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/243*-3*3. Let y = 8 + -10. Do y and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 + 3*q**2 - 1. Let a be f(-3). Let v = -12 - a. Let z = 510 - 432. What is the remainder when z is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-9)\/567)\/(162\/63)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 296*d - 896*d + 302*d + 301*d. Let x(w) = 19*w**2 - 8. What is y(x(p))?\nAnswer: 57*p**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o + 7*o - 3381. Let p = -80 + o. What is the remainder when p is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*t - 62, -2*t - t + 111 = -3*s. Let h = -304 + 362. Let y = h - t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2574 - 1667. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 385 + 121. Let u = 3 - -9. What is the highest common factor of o and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1 - 5.7. Let q = t - -3.4. Let l = 0.6 - q. Which is the third biggest value? (a) -2 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56\/159 - -1\/53. Let z = 48 + -51. What is the closest to u in -3\/5, 4\/7, z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3440502 and 67338?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 + 4225*g - 4225*g.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + -1)*(0 - 1). Suppose 0 = -i - q + 96, 0*q = i - 3*q - 96. Find the third derivative of 96*m**p - i*m**5 + 8*m**6 - m**2 wrt m.\nAnswer: 960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 3:28 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.125 * 0.1\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219491, 219496, 219501, 219506, 219511, 219516?\nAnswer: 219521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 10*a + 6. Let l(k) = 10*k - 4. Let c(p) = 7*p - 3. Let g(r) = -7*c(r) + 5*l(r). Let i(o) = 6*g(o) - s(o). Let b(w) = w. Determine b(i(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 4:44 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 24. Solve 33 = -5*y + p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 - -6.2240969?\nAnswer: 143.2240969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i**4\/3 - 82*i**3\/3 - 181*i**2 - 222*i - 72 = 0 for i.\nAnswer: -3, -1, -6\/11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l - 16*l + 32*l - 14*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30547, -30550, -30555, -30562, -30571, -30582, -30595?\n\"Answer: -i**2 - 30546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d. Let c(b) = -b. Let l(a) = -10*a**2 + 25*a. Let h(q) = -25*c(q) - l(q). What is h(f(s))?\nAnswer: 490*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - 1*(sqrt(99) + (-2*sqrt(99) - sqrt(99))))\/(sqrt(729)*2) + -3.\nAnswer: -3 + sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1)*4\/2. Suppose -i = r*i - 522. Let f = i + -107. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 14*h - 11. Let i be x(-5). Let a be i\/1 + (-3)\/(-3). Suppose -5*c - 2*z = z - 3, -2*c + z + a = 0. Solve b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, -2, 4, 0.3, -35?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1284862457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2455122, 3 in decreasing order.\nAnswer: 10, 3, -2455122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26160230 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (11 - (-49 - -54)) + -18 + -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.208113 rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + w - 5*w - 1. Let x = 1 - 2. Let n = x - 1. Give l(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**5\/60 + g**4\/4 - g**3\/3 + g**2 + 4563*g. Determine c(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 plus 0.01?\nAnswer: 208.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3620\/(-362) + 56\/6)\/(4\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 60.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 - 206 + 2*f + 432 + 698 + 171 in the form l + a*f and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -978\/18107 + 1111490315\/1195062. Let o = -2779\/3 + a. Find the common denominator of o and 15\/94.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -7*l + 10, -99*b - 4*l - 11 = -201*b + 97*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 511259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3 + 3453*d**2 + 13800*d + 13796 = 0 for d.\nAnswer: -3449, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2302947 is divided by 279?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18516 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**7\/21 + 4*b**6\/15 - 3*b**5\/10 + 2*b - 34. Factor l(r).\nAnswer: -2*r**3*(r - 3)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 693387*a. Let i(v) = 5*v**2. What is q(i(w))?\nAnswer: 3466935*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.48 - -11.38. What is the third smallest value in 0, v, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -20*h + 46*h + 66*h. Let d(u) = 2*u. Calculate r(d(p)).\nAnswer: 184*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15503, -15502, -15501?\nAnswer: -15500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-33) - (-3)\/(-6)*4 and -58\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -166, -327, -488?\n\"Answer: -161*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 31. Let y be o(23). Suppose l - 3 = -y. Let i be 22 + ((-4)\/l - (-36)\/30). What is the highest common divisor of i and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-7)*h**(2\/3)*h**(1\/7)*h**6)**(-17) assuming h is positive.\nAnswer: h**(-5287\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 17 - (-4 + -1) - 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*t + 17 = 0, -2*n - 1 - 7 = -2*t. Let w be 40\/25 - (-2)\/5. Which is greater: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6135246 (base 7) in base 12?\nAnswer: 2b3573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-1\/6)*c)\/c)\/(c*(c\/(c\/(c\/c**6)))\/c))**34)**(-22) assuming c is positive.\nAnswer: c**(-10846\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1709403689 and 2828?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y - 5*w + 3, -4*w = -12. Let c(a) = -3 + a - 1 + y*a. List the prime factors of c(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 25. Solve -g = 9*z + 33 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7872 and 400?\nAnswer: 196800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -1, -2\/13, -1\/10.\nAnswer: -1, -0.7, -2\/13, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1734, 3464, 5194, 6924, 8654?\nAnswer: 10384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 15 - 15. Suppose 5*l + 31 = 3*w, n*w + 4*l = -15 + 5. Suppose w = -s + 10. Solve 3*v = s*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71850 and 10?\nAnswer: 71850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3105*b + 6202*b - 3110*b - 28*b**2 to l + p*b + m*b**2 and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33414723555 + -0.3?\nAnswer: 33414723554.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10)\/25)\/(-1*(-1)\/(-110)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -10)*(-4)\/14. Find the third derivative of 7*q**6 + 0*q**6 - 3*q**6 - 2*q**2 - z*q**2 wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3 - 68*s + 4 + 63*s + 4*s. Let b(h) = 12*h - 4. Calculate -b(i) - 4*x(i).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/4, -20, -59 in increasing order.\nAnswer: -59, -20, -4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1398 - 1251 - 147 + 214*s.\nAnswer: 214*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23801 times -0.1?\nAnswer: 0.023801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 and 95?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 7. Let j be f(-9). Suppose -o + 53 = -j*o. Let n = o + 82. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206 (base 16) to base 11\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 215*d - 217*d + 3 - 29 = 0, 4*d = 3*v - 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 16. Suppose 16795 = d*g + 4*i - 3664, -g - 5*i + 6838 = 0. Let c = g + -91813. What is c rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:53 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -289, 5, 43300, -2 in descending order.\nAnswer: 43300, 5, -2, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -317 + 327. Solve 5*j - o = -3*s, -5*j = -4*s - 0*s - 45 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 470, 634, 762?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 501 + -238. Let f = 682 + p. What are the prime factors of f?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -399115\nAnswer: -399114.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lleeelleeeleleelll. Give prob of picking 2 l.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.2104551 to one decimal place.\nAnswer: 67.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 <= 95\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 3*u - 26 + 4*u + 8*u. Let a be l(3). What are the prime factors of -1*a\/(-4)*-554?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17532 - -27411. What are the prime factors of s?\nAnswer: 3, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -75085, -75067, -75045, -75019?\n\"Answer: 2*m**2 + 12*m - 75099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 2:34 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -i - 3*v, 5*v = -28*i + 25*i - 95. Which is bigger: -29 or i?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 948.\nAnswer: 6636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11609, -11615, -11607, -11573, -11501, -11379?\nAnswer: -11195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0*i + 8 + 37 + 4*i - 5. Let n be c(-9). Suppose 0 = -2*w + 5*v + 9, n*w - 3*v - 5 = 6. Solve -w*h - u - u = 0, -5*h + 6 = -u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 214278441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 700*d - 113389. What is w(162)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - f - 69, 3*b - 76 = 2*f - 23. Calculate the remainder when 66 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -86, -9, -21404 in ascending order.\nAnswer: -21404, -86, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 3*y + 3. Let i be g(-2). Suppose -5*s = 10, r - 2*s + 5*s - i = 0. Calculate the remainder when 43 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2425034 and -0.04?\nAnswer: -97001.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*t**2 - 72*t**2 + 31*t**2 + 280*t**2.\nAnswer: 403*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49.004 - -50. Let t = 0.896 - f. Let q = 4\/7 + -13\/35. Which is the nearest to t? (a) 1\/2 (b) q (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/3, -0.2, 5, -62?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 2\/13 (c) -3.99 (d) -5\/177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -i + 5*h, 5*h = -3*i - 2*i - 20. Let v be 2\/(-2) + (-8)\/(-4). Put -8, -5, i, v in increasing order.\nAnswer: -8, -5, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6525.5775 rounded to the nearest ten?\nAnswer: -6530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 2\/13, 476?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*g = -q - 40, -28*g - 81 = 184 - 41 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 140580*w - 421722.\nAnswer: -2*(w - 70287)*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-14) - 18\/(-4). Which is the closest to 1\/4? (a) 0 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28\/3 - -32\/3. Suppose -2*v = -v + u - 3, 4*v + 2*u = 8. Let z = 345 + -350. Which is the closest to 0.2? (a) z (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 2*g**2 + 3*g - 2. Suppose 5*z = 4*i + 2, z + i = 4*z - 4. Let l be m(z). Solve w + l = -0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 + 4*b**2 - 159*b + 464\/3.\nAnswer: (b - 16)*(b - 1)*(b + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*s = -55, 0*m = 4*m + 3*s - 25. Solve 0 = 6*z - 4*z + m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, d: 2, p: 2, i: 1, z: 3, h: 4}. Give prob of sequence djp.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 596 and 28750593?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62711*o**3 - 47980*o.\nAnswer: -376266*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 218\/(-10))*1. Let h = -11227 + 56024\/5. Let l = v - h. Sort 0, 1\/3, -2\/11, l.\nAnswer: -2\/11, 0, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 1526\/42)\/(92\/6)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 2*x - 1. Let o be v(-1). Solve o*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 469*z**3 + 3*z**2 - 5*z + 1. Calculate r(1).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3310)\/(-22508)*8\/(-30)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/83 (b) 39 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*l + 3*l**3 + 0 + 3*l in the form x + d*l**2 + k*l**3 + n*l and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (13\/(91\/(-21)))\/(7038\/(-4)). Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*f**3*r**3 + 48*c**2*f**3*r**2 - 6*c**2*f**2*r**2 - 2*c**2*f**2 + c*f**2*r**3 wrt f?\nAnswer: 6*c**2*r**3 + 288*c**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -18. Let w(f) be the first derivative of f**2 + 0*f**4 + 0*f - 2\/5*f**5 + 1 + c*f**3. What is the second derivative of w(y) wrt y?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2))\/(-2)*12\/(-48)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 = -0*j. Find the second derivative of -3 - 10*q + 4 - 1 + 16*q**j wrt q.\nAnswer: 192*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = y - 25, 4*w + 19*y - 58 = 417 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t\/t**(-6)*t)\/t)\/(t*t\/((t**(1\/7)\/t)\/t)*t))\/((t**(10\/3)*t)\/(t*(t*(t\/(t\/t**16))\/t)\/t)) assuming t is positive.\nAnswer: t**(332\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 3*c + 19, 36*f - 80*c + 146 = -78*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 44*p**2 + 341*p - 19015. Calculate r(41).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0*i - 4*q + 14, 4 = -2*i + 2*q. Solve -v = 0, 2*v + 8 = -i*g + v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*g**2*h**3 - 2*g**2 + 19*g*h**5 + g*h**2 - 10*h + 913 wrt h.\nAnswer: 198*g**2*h + 380*g*h**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -35 + (-4)\/(-6)*-3. Let m = 69 + a. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 - 4152900*a**4 + 1437210714594*a**3 + 2874433887900*a**2 + 1437219020403*a.\nAnswer: 3*a*(a - 692151)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15244.99844 + -15239. Let k = g - 6. What is k rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -1\/10*j**5 + 0*j**2 + 0 + 0*j**6 + 1\/42*j**7 + 0*j**4 + 1\/6*j**3 - 3*j. Suppose s(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 - 8 = 3*h, 3*h = -3*u - 6. Let d(b) = -3*b**3 - 5*b**2 - 6. Let g be d(-2). Put -5, g, u in ascending order.\nAnswer: -5, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 + -42. Let v = -373 + 373.429. Let c = v + -0.529. What is the closest to c in -3, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2138 - -7?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + 5*(sqrt(245) + (0 + sqrt(245) - sqrt(245))*-2)**2*-3)*-3.\nAnswer: 11025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2640 and 8910.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -683 + 684. Let y = -3 + 0. Is x - -22*(y - -6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10113 divided by -1.\nAnswer: -10113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(3\/4)*s)\/(s\/((s\/(s*(s*s*s**(-2\/7))\/s))\/s)*s))\/(s**(-2\/19)\/s)**(-3\/37))**(-2\/79) assuming s is positive.\nAnswer: s**(40429\/777518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**5\/20 + 16*h**2. Let a(k) = k. What is l(a(p))?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -200*p + 408. Give x(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 - 60)*42\/(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 486, 1180, 1920, 2706, 3538, 4416?\nAnswer: 5340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -1508387?\nAnswer: 1508381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -b7aa70 (base 13) to base 7\nAnswer: -51421323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 7225744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-43))**10\/(r**20\/(r**44*r)))**(-4\/7) assuming r is positive.\nAnswer: r**(1620\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6299 and -0.0196.\nAnswer: -123.4604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7934, -15867, -23800, -31733?\n\"Answer: -7933*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 17*p**3 + 2559 + 9*p**2 + 2587 - 5120 - 4*p**2.\nAnswer: -17*p**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -13985711?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 90431, 180860, 271289, 361718?\n\"Answer: 90429*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**3 - 6078*h**2 + 2034*h**2 + 2010*h**2 + 2034*h**2 + 14*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 111634560 to the nearest one hundred thousand.\nAnswer: 111600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 6*w + 9 = 3*w, 5*v = -5*w - 15. Solve -y + 8 = y - 5*g, 4*y + 4*g - 16 = v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -20876*u + 20877*u - 30, -u - 5*q - 89 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -282738 or -208?\nAnswer: -282738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 482 divide 2665005474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i. Let l be x(-1). Suppose 6*g - l*g = 0. Suppose -s - 16406 = 3*s - 2*o, g = o - 3. Round s to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79031?\nAnswer: 79031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -992588, -992589, -992590, -992591, -992592, -992593?\nAnswer: -992594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27)\/18 - (0 + 9231\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 3*o - 7 = 0, -b + 2 = o - 5*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 333193542 to the power of 1\/3, to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 3007592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**5 - 3640*b**4 - 48284*b**3 + 265616*b**2 + 193072*b - 1004224 = 0.\nAnswer: -17, -2, 2, 4, 923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 + 3*n**3 - n**3 + (n - 4*n + 0*n)*(3*n**2 + 0*n**2 - 4*n**2 + (-n + n - 3*n)*(0*n - 2*n + 3*n)) in the form j*n**2 + c*n**3 + q + k*n and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24030289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 499 + 514 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + (-2 - -6))\/(6\/913098) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2460 - 2458. Solve 2*w = -4*v + x, 5*v + w - 3 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + (-6 - -8))*(-6)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 304*o - 1214. Let h be q(4). Solve -h*n - 4 = -20 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 1, -2\/7, -4, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 827, 2906, 6981, 13718, 23783, 37842, 56561?\nAnswer: 80606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g**2. Let j(d) = 10324*d. What is j(a(l))?\nAnswer: -82592*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**4\/12 - 8*o**3 - 235*o**2. Let j(i) = 2*i - 2*i + i - 16. Let s(c) = 17*j(c) - 6*t(c). Differentiate s(h) wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = 3*z, -4*f + 2*z + 20 = 0. Suppose -137*t + 178*t = -264*t + 3050. What is the remainder when t is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-33) - 1545\/8195. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -101 + 77. Suppose z*v - 840 = v. What is v rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 + 10020030?\nAnswer: 10013313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from {h: 1, j: 1, n: 1, m: 1, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0096, -0.3, -1\/2, 5616 in ascending order.\nAnswer: -1\/2, -0.3, -0.0096, 5616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 346 - 343. What is the third derivative of -21*n**2 - 44*n**2 + 74*n**2 - 213*n**q wrt n?\nAnswer: -1278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h**3 + 15*h**2 - 13*h - 5. Let n(d) = 10*d**3 - 22*d**2 + 19*d + 7. Let s(v) = 5*n(v) + 7*q(v). Let f(m) = m**2 - m. Give -10*f(y) - 2*s(y).\nAnswer: -2*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/232 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 119459.\nAnswer: -597295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19448 and 32864?\nAnswer: 6145568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k*k**(2\/15))\/k)\/k*k)\/k**(1\/5)*(((k*k**3)\/k)\/k)\/k**6)**(-20) assuming k is positive.\nAnswer: k**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from {a: 3, z: 6, y: 1, w: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 14 = -41. Let p(d) = 6*d**3 + 2*d**2 - 5*d - 11. Let g(b) = b**3 - b**2 - b - 1. Let y(m) = t*g(m) - p(m). Calculate y(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 2270298*r - 2270297*r + 49, -2*o = -32 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1563, 3588, 5623, 7674, 9747, 11848, 13983?\nAnswer: 16158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 5648*m - 16962.\nAnswer: 2*(m - 2827)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 127*l**2 - l + 4. Let y be d(2). What is the common denominator of -123\/20 and (5 - 1) + (-4301)\/y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 6:32 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/((-39)\/((-2730)\/(-56)))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 903 = -3*o, -2*o + 3*o = 2*u - 602. Suppose -w + 5*p - 1425 = -6*w, w = 3*p + u. Suppose y + 2*s - 99 = 4*s, -w = -3*y + 4*s. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 257753352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y**3 - 5*y**3 - 2*y**3 + (-4*y + 6*y**3 + 4*y)*(-2 + 1 - 1) - y**2 + y**3 + y**2.\nAnswer: -26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 55*z**3\/6 + 10*z**2 - 2*z - 7. What is the derivative of b(h) wrt h?\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.15, -3, 0.3, -0.2 in ascending order.\nAnswer: -3, -0.2, -0.15, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -n, 5*d - 13 = 3*n - 12. What is the nearest to d in -3\/7, 3, 21?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 246? (a) 85 (b) -0.4 (c) 845\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 2b?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/25*((-35)\/70 - (-178)\/(-4)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 1:25 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twwwwtttwwwwwwtwtww. Give prob of picking 1 w and 1 t.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b**2 - 6*b**2 + 33*b**2)*(b - 3*b + 0*b) + (0*b + b - 3*b)*(2*b**2 + 4*b - 4*b)*(2 - 3 + 2) to t + i*b**2 + o*b + s*b**3 and give s.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3928 and -3.\nAnswer: 11784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {y: 2, c: 4, t: 8, d: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 10 = -2*x - 4*v, -4*x - 4*v = -16. Calculate the lowest common multiple of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -18*1\/(3\/(-4)). Suppose -a - 3*a = -d. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1812 - 516. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -327 - -439. Calculate the remainder when h is divided by 34.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.27262 - -0.17262. Which is the nearest to l? (a) -0.4 (b) -0.8 (c) 0 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = -2*z. Let g be 1 + 20\/(z + 8). Which is greater: g or 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 174 bigger than -22547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2059*x + 2746*x - 1473*x in the form z*x + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 4 (c) -5 (d) 0.1 (e) -0.3 (f) 4122\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36263*o**3 + 116320*o wrt o?\nAnswer: -217578*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 11*l + 2. Let w be k(-9). Suppose 0*t - 5*t + w = 0. Solve -25 = y + t*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 m when four letters picked without replacement from {l: 10, w: 1, m: 8}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*o - 463, 4*u + 460 = -o + 3*o. Suppose -w = -66 + 51. Let f(x) = 7*x - 76. Let a be f(w). What is the highest common factor of a and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247407 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 935878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -607 - -189. Let z = l + 639. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-552)\/36)\/(-23)*-3*4\/24?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 31*y**3\/3 + 431. Let c(v) = v. Calculate c(l(m)).\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1892423947 to three decimal places.\nAnswer: -0.189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15915422 is divided by 691971.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -658*i**5\/5 + 710*i**3 + 896. Find the third derivative of j(x) wrt x.\nAnswer: -15792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -3.266?\nAnswer: -8.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 0.1, -2, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*w + 914 + 82, 5*j - 4*w = 2492. Suppose -5*z - 4*o + j = 0, -3*o - 76 = -z + 5. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 309113 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(6\/5)\/u)\/(u*u\/u**(2\/7))*u**6*(u\/(u*u**(1\/7)*u))\/u)\/((u**0\/u*u)**28*((u**(-9)\/u)\/u*u)\/u*u*u**(1\/2)) assuming u is positive.\nAnswer: u**(829\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -20, 121*t = -s + 125*t + 786. What is the highest common divisor of s and 3388?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001218235 to seven decimal places.\nAnswer: -0.0001218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*o**2 - 308*o**2 - 307*o**2 - 303*o**2 + 1038*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w**2 - 25*w - 15. Let a(u) = -13*u**2 + 35*u + 21. Let l(m) = 5*a(m) + 7*o(m). Let k(g) = 5 + 2*g - 6*g + 4 - 2*g. Calculate k(l(h)).\nAnswer: 12*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7261.1 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**5 + 33*m**4 + 78*m**3 + 48*m**2.\nAnswer: 3*m**2*(m + 1)*(m + 2)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 28*u**2 - 106*u + 2. Let b(f) = 11*f**2 - 42*f. Let p(z) = -12*b(z) + 5*k(z). What is p(4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*l + 37725 - 37595 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 11 - 3. Suppose 3*n + 3*q = q + 4, -q = -5*n + 11. Calculate the greatest common divisor of n and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601831 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 88, 129 in increasing order.\nAnswer: 0, 7, 88, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119943244?\nAnswer: 2, 29985811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 - 86. Which is the second biggest value? (a) x (b) -2 (c) 12 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r. Suppose 0 = -6*u + u + 40. Let t = u + -3. Let f(b) = -b + b - 4*b + t*b. What is f(x(j))?\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1988848l to millilitres.\nAnswer: 198.8848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.780353 rounded to one decimal place?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22107*i - 695 - 876 + 1571 to l*i + u and give l.\nAnswer: -22107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1106731 by -589.\nAnswer: 1879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19802314069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 16282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6791933660 to the nearest integer?\nAnswer: 1894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1061 divide 2262052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43.9 - -2.9. Let y = b + 41.00000029. What is y rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 96862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -10*v**2 - 329*v + 23. What is t(-33)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12823 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 772\/(-52) + (-2)\/13. Let y = 0.11478 + -0.11478. What is the closest to y in 0.3, 2, o, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4182 divided by 123.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 0.03, 0.5, 2\/15, -5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -947 + -1016. Let n = d + 5837\/3. Calculate the common denominator of 17\/93 and n.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/7, -17, -1.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away 139207?\nAnswer: -139207.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 342795845 to the power of 1\/3, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.17 + 0.17. Let p = 2.1 + u. Which is the nearest to p? (a) -0.4 (b) -4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159 and 8374?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + 1 - (5 - 3). Suppose 0 = -s - h + 3*h + 10, 5*h + 10 = -i*s. Suppose 0 = 3*u - s*u - 14. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1513*t + 3194*t + 928*t - 1075 wrt t?\nAnswer: 2609","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/7 - 895917*u\/7 + 895924 = 0 for u.\nAnswer: -895924, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1897*r + 9 - 1891*r - 5 - 4 - 244*r**2.\nAnswer: -244*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.2, -39, 1 in increasing order.\nAnswer: -39, -0.2, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 2*o - 3621 = o - 3134, -5*z - 3*o = 254 for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -77, 318, 975, 1894?\n\"Answer: 131*z**2 + 2*z - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7613 + -7611. Let n(l) be the second derivative of l**s - 11*l - 1\/12*l**4 + 0 - 5\/6*l**3. Calculate n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -39*r**2\/2 + r + 31. Suppose 4*v = -2*i + 28, 2*v + 67 = 4*i - v. What is the remainder when z(-2) is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*w**3 + 123*a**2*w - 2*a**2 + 35*a wrt w.\nAnswer: 3*a**2*w**2 + 123*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/(6\/(-24)). Suppose -3*a - t = -2*a. Calculate the least common multiple of 1\/(-1 - (0 + a)) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yymyyzyymzmmyy. Give prob of sequence yyz.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000109457737 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**2 + 1\/24*d**4 - 1\/6*d**3 - 1\/60*d**5 + 0*d + 0. Suppose -2*t - 11 = -3*h, -4 = -3*h - 3*t - 2*t. Calculate u(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 35. Solve 3*m - 2 - 13 = t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 114\/(3\/1)*-2. Let m be 9\/(26 + 1)*(-1 - q). Let r = 5 - 0. What is the greatest common factor of r and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 156308516?\nAnswer: 468925548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 84837.\nAnswer: 5090.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7962, -15936, -23904, -31872, -39846, -47832, -55836, -63864?\n\"Answer: -o**3 + 9*o**2 - 7994*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -5006\/7 (c) 1\/2 (d) -2 (e) 10 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9) + -1 + 8\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 1.99973?\nAnswer: -0.1599784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50146306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4\/3 (b) -36 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1573*h + 1561*h - 21 + 21.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.04.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**2 + 26. Let i(q) = -49*q**2. What is k(i(h))?\nAnswer: -98*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0*j - 6*j - 12 + j. Suppose 0 = 22*p + 272 - 8. What are the prime factors of o(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -46, 11, -220.\nAnswer: -220, -46, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**4\/12 + 3*y**3\/2 - 5*y**2\/2 - 2*y. Let l be w(8). Solve -l*g = -a + 12, -a = 2*a + g + 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/4 + 1575*d**2\/2 - 165375*d + 11576250.\nAnswer: -5*(d - 210)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 144 = -9*g. Solve -2*u = -4*h - 6, -5*u + 3*u = -h - g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 59*z + 197*z**2 - 638*z - 31*z - 196*z**2. Let b(d) = d. Determine b(l(s)).\nAnswer: s**2 - 610*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2938 + 423. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 4:16 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = 4*d - 4*x, x - 19 = -5*d. Suppose 4*a + f = 149, d = -3*a - 2*f + 116. Suppose -q + 2*q = 2*p - a, -4*p = 2*q - 94. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 164 + 1. Let o = q + -220.1. Round o to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/42)\/((-1)\/(-3))*12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -68.4\nAnswer: -273.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v - 30*v = -5*f, 28 = 4*f - 4*v. Let h(u) be the second derivative of 1\/12*u**4 + 9\/8*u**f - 1\/2*u**3 - 10*u + 0. Factor h(t).\nAnswer: (2*t - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a. Let h(t) be the first derivative of -t**3\/3 + 42. Calculate j(h(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-96)*8)\/((-3)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3019, 5, -1, -3 in increasing order.\nAnswer: -3, -1, 5, 3019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20 - 32 - (-82)\/6. Let j(o) be the first derivative of -5*o + 9 + 0*o**2 + i*o**3. Factor j(h).\nAnswer: 5*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1269 - -1158. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -31. Suppose k = -2*k. Suppose k = -d*n - 0*n + 32. What is the highest common factor of 176 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s)\/s**(-7\/2)*((s\/(s\/(s\/s**(-1\/2))))\/s)**(-17) assuming s is positive.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 342455395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = l - 0 - 3, -5*l = 4*q - 14. Suppose d = -l*d + 9. Suppose -30 = -3*n + 5*b, n - 7 = 3*b + 7. Solve -n = -4*a + d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -63, -83, -65, 9, 157, 397?\n\"Answer: 3*z**3 + z**2 - 44*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 2*v - 2*v + 3 + 4.\nAnswer: -6*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*k + 94*k - 8806 = -505*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*2\/6*-5. Suppose -u + n - 19 = -4*n, p*u = -4*n + 50. Solve 2*z + 2*z = 2*a, u = -a - z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*g + 21*g - 18. What is the third biggest value in g, 2\/3, -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/9184 and 31\/202048.\nAnswer: 202048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 90313629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1300362.\nAnswer: 2, 3, 7, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.1 + -3. Let k = -7.582 + 7.9. Let j = k + 4.682. What is the nearest to s in j, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 29 = -5*a, 0 = -6*a + 8*a - 3*p - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 111854990 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -927?\nAnswer: -922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3187 is divided by 1061.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1288\/21896*(-119)\/(-5).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -298*n - 2975 + 2975 + n - 2*n - n + (-n + 3*n - n)*(-2 + 1 + 2) - 4*n + 5*n - 3*n in the form g + f*n and give f.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 371027 - 337263586\/909. Find the common denominator of -34\/707 and u.\nAnswer: 6363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 8:16 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1175 divided by -6903.\nAnswer: 1175\/6903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.15252877 and 1?\nAnswer: 0.84747123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 6. Let x(h) be the first derivative of 4*h**3\/3 + 466. Determine x(y(w)).\nAnswer: 4*w**2 - 48*w + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 456 - 660. Find the common denominator of (-3)\/(-9)*x\/88 and 4\/6*1096\/96.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 8 + 4*l - 4*l. Let p be a(-6). Solve 0 + 2\/5*g**p + 0*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 18 (b) -0.05 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m**2 + 9*m**2 + 5*m**3)*(3*m - 5*m - m) + 206 - 206 + 28*m**4.\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(((-2)\/(-3))\/((-13)\/((-585)\/120)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 23.89. Let s = k - -3.89. Let r(l) = 1245*l - 13692. Let o be r(11). Which is the smallest value? (a) o (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 59610684.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 8 = 0, -3*k - 2 = -2*g + 3*g. Solve k = -5*q + d - 0*d - 13, -10 = 2*q + 2*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89800000 to the nearest one million.\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 4*v + 300. What is the greatest common factor of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*y - 13 = 0, 107*y = -4*d + 108*y + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -13\/34, 3, 7, 0.1, 0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 6*p**2 + p + 6. Let w be b(-6). Let x(a) = -1 - 2 + w*a + 4*a - a. Let h(j) = 1. Determine -3*h(g) - x(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -902 + 298. Let x be (-4)\/6 + v\/(-6). Calculate the highest common factor of 40 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-8)\/(9 + 4 + -10). Which is the third smallest value? (a) 5 (b) f (c) 0.4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/7)\/(f**(9\/4)\/f*f*f))**(-26\/3))**15 assuming f is positive.\nAnswer: f**(5135\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 4. Suppose -18 = 4*u - u - s, -3*s + 26 = -5*u. List the prime factors of b(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026681302 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -673*p - 1716 = -684*p. Calculate the lowest common multiple of 284 and p.\nAnswer: 11076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/10, 1.1, 4, 6, -0.4 in descending order.\nAnswer: 6, 4, 3, 1.1, -3\/10, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 57, 126, 223?\n\"Answer: 14*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38888 and 600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.817 + -19.517. Which is the fifth smallest value? (a) 170 (b) -1\/6 (c) y (d) 0 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -9\/5*v**2 + 9 + 4\/5*v - 7\/5*v**4 + 12\/25*v**5 - 1\/15*v**6 + 32\/15*v**3. Determine x so that o(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 5*c - 100 = 0. Calculate the remainder when 77 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/36 and 155\/936.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 4*r**2 + r. Suppose -2*z + 9 = -2*v - 3, 2*z - v - 12 = 0. Let b = 2 - z. Let g be 4\/b - (1 - -2). Calculate y(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 18*m**2 + 14*m - 47. Let w be a(-17). Suppose -w*f + 3*f = 5*l - 85, 85 = 5*l - f. Solve l - 13 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 + 20. Suppose -3*d + 16 = u - d, -5*u = 4*d - q. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:56 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5747624ng to milligrams.\nAnswer: 0.0000005747624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7*k = 2*w - 24, -4*k - 24 = -4*w. Let y be 3\/(-2 - -8) - k\/(-12). Solve -4*p + 0*f + f - 16 = y, 0 = p + 5*f + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -417 > -2928\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r**2 + 21*r + 57. What is u(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*b = 286*b + 11752 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/576 and -87\/2354864.\nAnswer: 84775104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -16*y + 15597. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135440312 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062400523 to the power of 1\/2, to the nearest integer?\nAnswer: 45414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -798*c**4 - 10*c + 511. Let b(t) = t**4 + 2*t + 1. Let n(m) = -5*b(m) - s(m). What is the derivative of n(v) wrt v?\nAnswer: 3172*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p**3 + 11*p - 2. Let n(u) = 4*u**3 - 3*u + 18 - 17 - u. Determine 3*l(b) + 8*n(b).\nAnswer: -b**3 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/89 (b) -74\/21 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 83575904150 and 1379?\nAnswer: 83575902771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 m when three letters picked without replacement from eememmemmmmemmee.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 167*r = 51*r + 3648 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1483620457?\nAnswer: 11, 131, 1029577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 457249.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 41.\nAnswer: 20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 3*w - 36 = 0, -o + 3*w + 35 = -4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*b**5)*(-5 + 1 + 3) - 102*b**5 - 2442*b**4 - 4*b**5 + 2440*b**4.\nAnswer: -104*b**5 - 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36102 - -578181\/16. Which is smaller: z or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 (base 13) in base 11?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -42 + -1 + -9\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1435691?\nAnswer: 3\/1435691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -2\/15, 0.03106, 0.05, -0.4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*y - 2, 4*q - 16*y = -11*y - 5. Let b(f) be the first derivative of 1\/2*f**4 - 3*f**2 - 4*f - 10 + q*f**3. Let b(h) = 0. Calculate h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.41, -1, 1 in descending order.\nAnswer: 1, 0.41, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27592 is divided by 230?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 660653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -56, -53, -16, 67, 208, 419, 712?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 7641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 7:41 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -140*y**2 - 23*y - 40. Is l(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(27) - sqrt(27)*-1)\/sqrt(9))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8471.49 litres in millilitres?\nAnswer: 8471490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -484 in 0.3, 3, 5, -0.2, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**7\/4620 + k**6\/660 - k**4\/33 + 8*k**3\/3 - 22. Let s(i) be the third derivative of n(i). Factor s(z).\nAnswer: -2*(z - 2)**2*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4394 + 4394. Sort 21, 7, w, 4 in descending order.\nAnswer: 21, 7, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-124)\/(-8))\/(249\/84 + -3). Is v smaller than -433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*w - 47 + 46, 0 = -3*r + w - 7 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, x: 1, o: 4}. Give prob of sequence lxlo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13311 (base 4) in base 5?\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from hlbhblbhblllbbhbblbb?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -94979981 divided by 94979981\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 19*q + 3*w - 276 = 0, -5*q + 1367 = 2*w. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 5596779\nAnswer: 23\/5596779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 18 + 6 + (-1 - 7)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/3 - (6 + -9). Let u = 0.1 - 0.2. Which is the nearest to u? (a) t (b) -5 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(475) + 3 - sqrt(19))*1.\nAnswer: 3 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -28, 4024*c + 4*v + 48 = 4028*c. Solve -5*i = -3*l, -2*i + c*l = 7*l - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**3 + 4975*t**2 - 3398236*t + 13513280 = 0.\nAnswer: -5584, 4, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0714 + -0.0226. Is 0.1 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 424 = -143. Suppose -2*h + 4*i - 19 = -3*h, -4*i = 5*h - l. Suppose -h*p + 9*p + 136 = 0. Does 27 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 8 - (-1 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**2 - 3 + 2\/9*k**3 + 4\/3*k. Find h such that l(h) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79650 - 31514. List the prime factors of s.\nAnswer: 2, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*l - 15. Let y(o) = 3 + 4 + o - l. Calculate y(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + -2)**2 + 3 - ((-2*sqrt(112))**2 + 1)) + 0 + -5 + 2.\nAnswer: -333 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8164*f - 427 + 855 + 6*f**2 - 428 - 4*f**2.\nAnswer: 2*f**2 + 8164*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-963)\/32 + 30)\/(2\/(-16)). Let l(j) be the first derivative of -3\/5*j**5 + 3*j**3 - 3\/2*j**2 - 4 + d*j**4 - 6*j. Suppose l(n) = 0. What is n?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/5 - 1028*y\/5 - 132098\/5 = 0. Calculate y.\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58.27 + -58.2699995374. What is a rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*f + 18 = 2*f, -2*f = -4*s + 20. Let p(m) = 2 + 4*m - s*m - 4. Let i(g) = g + 5. Let h be i(0). Calculate p(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 8. Let j be ((-3)\/18)\/(v\/24). Solve 0 = -c + j + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 82, 89, 96, 103, 110, 117?\n\"Answer: 7*d + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 28*x**2 - 2*x + 1114. Calculate y(29).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 52, -988, -2722, -5156, -8296, -12148?\n\"Answer: -d**3 - 341*d**2 - 10*d + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*q**2 - 26782*f**2*q*t + 2*f*q*t - 4*f*q + 10545*q**2 wrt f?\nAnswer: 2*q**2 - 53564*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9a6a (base 11) to base 7\nAnswer: 53450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 6566 + 738 = 0. List the prime factors of r.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 3*o - 2. Let r be q(-2). Suppose r = -l + f + 11, -2*f + 0*f - 32 = -3*l. Calculate the least common multiple of 8 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -11*g**6\/10 + 31*g**3\/6 - 9165*g**2\/2 - g - 13. What is the first derivative of y(n) wrt n?\nAnswer: -132*n**3 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411312 (base 6) in base 8?\nAnswer: 77734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -962 by 122.\nAnswer: -481\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44547.\nAnswer: 3, 31, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 731*w**3 - 2*w**2 + 1. Let j be g(1). Suppose r = -4*r - j. Round r to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 13, -4, -3 in descending order.\nAnswer: 13, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 11*y = -81738. Let x = y - 3174. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2028, -4073, -6118, -8163, -10208?\n\"Answer: -2045*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(117))\/sqrt(3))\/(sqrt(3) - (sqrt(12) - (sqrt(192) + sqrt(12)))\/sqrt(4)).\nAnswer: -4 + sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (12 - (-16 + 7)) - 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 8c463b?\nAnswer: 8c4637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -118*t + 2928 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(704) + -2 + sqrt(44) - 5*sqrt(352)\/sqrt(8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -15. Let v(k) = k**2 + 5*k - 6. Let m be v(b). Which is bigger: m or -2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {m: 2, z: 5, j: 3, w: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n - 4. Let d be m(3). Let a = 8 - d. Solve a*g - 2*g - 10 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101122010 (base 3) to base 15.\nAnswer: 246c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6822569 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007014157031 to 5 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - 5*v**2 - v**2 - 8*v**2 to o*v + p*v**2 + c and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55323, -62934, -70527, -78096, -85635, -93138, -100599, -108012?\nAnswer: -115371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 2*j**2 + 6*j + 9. Let z be w(4). Solve -19 - z = 4*i, -3*i = -4*l - 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03067451 rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 13020000 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6*f - 5*g = 16, -5*f = -5*g - 40. Suppose -17*q + 672 = -f*q. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780844.4 centimeters to millimeters.\nAnswer: 7808444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.20953 + 70.20953. Which is the fourth smallest value? (a) 2 (b) -3\/8 (c) t (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 160*v + 165.\nAnswer: -5*(v - 33)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.859524 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41*-2.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.812287 minutes in seconds?\nAnswer: 168.73722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -188. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (751*u - 325*u - 306*u)*(4*u**2 + 2*u**4 - 4*u**2).\nAnswer: 240*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -64, 2\/9, -1, -2\/15, 11\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 977 - 977. Let m = 0.14 + 0.08. Let v = m - -0.08. What is the closest to -8 in v, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25121277 (base 9) to base 2\nAnswer: 101110111010000001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 120\/41 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - (8 + 36) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201102 - 2030100?\nAnswer: -3231202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**6\/40 + t**5\/60 - t**3\/6 - 2054*t**2. Let b(z) = 2*z**3 - z**2 + 2. Calculate 3*b(f) + 4*g(f).\nAnswer: -6*f**3 + f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 7389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-4))\/((-1)\/(-4)). Is g less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -0.09, 64, -3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4798580 to the nearest 10000.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 + 491*o - 164 = 0. Calculate o.\nAnswer: -164, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286113?\nAnswer: 3, 283, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*l = 20, -2*r - l = 2*r + 22. Let g = -1955.3 - -1955. Which is the nearest to -2\/11? (a) -5 (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vavava. What is prob of sequence vvaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 377\/10 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/21, 0.2, -0.01?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 49?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6086764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l**5 + 1923*l**4 + 11457*l**3\/5 + 3429*l**2\/5 = 0 for l.\nAnswer: -127, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 366\/30 - 3\/15 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g + 3*g**2 - 2*g**3 + 12*g - g - 3*g as q*g + a*g**2 + c + j*g**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -59)*(-70)\/(-910)*130\/(-12)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 431*q\/2 - 1275.\nAnswer: -(q + 6)*(q + 425)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/16 + (-2)\/((-48)\/(-21)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25175 (b) -0.1 (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 11. Let w = 526269 - 4736423\/9. Let j = 3 + -2. Which is the closest to w? (a) h (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5685, 12357, 19039, 25737, 32457?\n\"Answer: y**3 - y**2 + 6668*y - 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (8 - (4 - 6))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-8))\/(2\/(-4)). Let m be -1 + (g + 0)*-4. Solve -m = p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 479325141 by 6507.\nAnswer: 73663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*h**2 + 31 + 6.\nAnswer: 3*h**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.08 or -537486?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -81194, -323670, -727806, -1293608, -2021082, -2910234, -3961070, -5173596?\n\"Answer: -m**3 - 80824*m**2 + 3*m - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 123*p**2. Let a(w) = -10*w. Give a(k(t)).\nAnswer: -1230*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, -2\/3, 5\/28?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111465653.\nAnswer: 13, 167, 51343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -5\/4, -0.06?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1123 + 1523. Calculate the greatest common factor of w and 240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/5*35\/28. Let t be (-8)\/(-2)*4\/56. Which is the second biggest value? (a) t (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -317449*f + 317448. What is a(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*z + 95*z + 2*z**3 - 129*z - 75*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13729 is divided by 693.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/5*l + 1\/5*l**3 - 16\/5 - 9\/5*l**2.\nAnswer: (l - 4)**2*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 88 = 48*s, -5*s - 127*f + 125*f = -21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = y + l - 4, 5*l = -5*y - 30. Let q(w) = -w - 3. Let b be q(y). Let k = 5 - b. What is the lowest common multiple of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f + 5. Let i(c) = -c. Let r(y) = -4*i(y) + n(y). Let z be r(0). Factor -1\/4*x**3 + 0*x + 1\/4*x**z + 1\/2*x**4 + 0 - 1\/2*x**2.\nAnswer: x**2*(x - 1)*(x + 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 s, and 1 c when three letters picked without replacement from {s: 8, m: 6, c: 1}.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-1309)\/(-170))*6 - (-15)\/(-175)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 178*w - 17700. Determine y(-44).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2745.284 milligrams to grams.\nAnswer: 2.745284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-27.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4210*q*t**3*w**3 + 4*q*t**3*w**2 - q*t**3 + q*t*w**3 - 686*q*w**3 + 13*t**2*w wrt t.\nAnswer: 25260*q*w**3 + 24*q*w**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36957b (base 12) to base 11\nAnswer: 556698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -4 (b) 0.16 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + (-5 + -3 - 46).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*d - 23*d + 48*d + 5 in the form a*d + p and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000000 + 222122?\nAnswer: 10222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**3 + 21*s**2 + 11*s. Let t(z) = -z**3 - 4*z**2 - 2*z. Calculate 2*i(v) + 11*t(v).\nAnswer: v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 3*j**3 + 36*j**2 + 3 + 4*j**3.\nAnswer: 5*j**3 + 36*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**2 - 5*n**5 - 6*n**2 + 0*n**5 wrt n.\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(300)) - (-4*-2*sqrt(300))**2)*-5.\nAnswer: 200*sqrt(3) + 95980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 19 + 7. Suppose 0*u**4 - 4*u + 4*u**3 + 3*u**4 + u**4 - 4*u**t + 0*u**2 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42758, -86068, -129446, -172886, -216382, -259928, -303518, -347146?\n\"Answer: n**3 - 40*n**2 - 43197*n + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 2*l - 5*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 3.09.\nAnswer: -6.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/104 - (-6)\/39?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289045.3 weeks in seconds?\nAnswer: 174814597440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0387740708 to six dps.\nAnswer: -0.038774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/55*(-143)\/26\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*l*s**2*t**3 - l*s**2 - 3*l*t**3 + 14*s**2 + s*t**3 - 4*t**3 + 4*t**2 wrt s.\nAnswer: 10*l*t**3 - 2*l + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 82*o - 185*o - 512, -4*q = -4*o - 24 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.99905 - -23. Round p to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 1, -1\/5, -4, -41.62, 0.1, -4.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -316501)*189\/567. Round y to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211585700 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 - 261 = -10*y. Calculate the remainder when 133 is divided by y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2395142726?\nAnswer: 2, 1197571363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymmrlmylyys. Give prob of sequence ry.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppppmpmppppp?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 1 + 1)*(-2*z**3 - z**3 + z**3) + 3*z**3 - 3*z**4 - 3*z**3 - 4*z**4 + 0*z**4 + 2*z**4 + (0*z + z - 3*z)*(0*z**3 - 3*z**3 + 5*z**3) + z - z - z**4.\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 41*z - 7. Let c be g(7). Find the common denominator of 1745\/c - 1\/(-8) and -1\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43557 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.1, -21682, -4\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 7*q**2 - 6*q + 2. Determine y(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8*a + 24228 = 9*a, -5*a = 5. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - f - 1. Let o be w(0). What is the remainder when o*28*25\/(-20) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 3:56 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -8, 4, -5.\nAnswer: -8, -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191796*s**2 - 3*s + 3*s - 191803*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2 - 30*m + 99. Suppose 2*c - 5*z - 59 = 0, -z - 35 = -2*c + 28. What is the remainder when y(3) is divided by c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 207*a**2 + 4701*a + 130. What is y(26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34446*u - 20250*u - 24756*u - 5200 wrt u.\nAnswer: -10560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 9*b**2 + 9*b + 2*b - 7*b**2. Let p = -88 - -143. Suppose -6*u + p = -u. Let a(v) = 5*v**2 - 4*v. Calculate u*a(s) + 4*q(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442856?\nAnswer: 2, 197, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 at most -1\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 412 and 604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 + 1228 = -3*n. Let o = n + 294. Solve o*d - d - 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 31 + -1 - (6 + -3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + -0.1. Let z = -35.6 + 34.6. Put h, z, -0.4 in descending order.\nAnswer: h, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4 - 1055*w**3 - 2165*w**2 + 7475*w - 4260 = 0.\nAnswer: -4, 1, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 43*b + 6 = 40*b, -5*h = 5*b - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -510\/203 (b) 0.1 (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (219\/1168)\/(3\/106) and -91\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 - 30. Sort m, 2, -2.\nAnswer: m, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 63 = 39. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/154)\/(34\/238))\/(-2)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -4. Let a = 2 + y. Suppose -a = 5*v - 198. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**2 - 2*h + 7. Let c(t) = -13*t**2 - 5*t + 20. Let r(s) = -2*c(s) + 7*p(s). Let q be r(-5). Let v = -16 - q. Is v equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**2 + s**3 + 0*s**2 + s**3)*(0 + 2 - 1)*(2*s - 4*s - 8*s) as i + o*s + q*s**4 + l*s**3 + z*s**2 and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97916080.\nAnswer: 2, 5, 397, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 11 = -4*g, 5*g - 2*g + 4*t + 9 = 0. Does 15 divide (-33 - 7)\/(g*(-6)\/27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3865 + 3866. What is the nearest to -0.1 in l, -0.5, -0.18, -2?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2 + 4*g = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 2*a**2 - 3*a. Let b be j(-4). Let g(x) = x**3 + 20*x**2 + 1049. Let c be g(-22). Calculate the greatest common divisor of b and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 4, -22 = -5*t - 3*o. Suppose 4*r + l + 2 = 0, t*r - 2*l = l + 6. Suppose 4*v - 6*v + 112000 = r. Round v to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 45 + 0 = 0. Let c(r) = -2*r - 20 + 24 - r + r - 14. Give c(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 + 19*s**2 + 53*s**2.\nAnswer: 64*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*r + 3*h, 6*h - 11923 = -4*r - 11897 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-232)\/174)\/((-7)\/((-1176)\/(-4))).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*k - 6 + 14, -3*k - 2*f = -37. Suppose 0 = -w + 3, y - k = 2*y - 2*w. Calculate the lowest common multiple of 2 - (-6)\/(y + 4) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5544 greater than or equal to 5542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(300) + 0)*-1 - (1*sqrt(300)*-1 + 2)) + -3)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 245*y**3 + 53725*y**2 + 1014235*y + 5015795.\nAnswer: 5*(y + 199)*(7*y + 71)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17255a (base 14) in base 12?\nAnswer: 332798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-20 - (3 + -19))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j + 0*j + 3 - 1 - 4*j. Suppose -47 - 163 - 246 = -76*o. What is q(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/5515 + 268033\/22060. Let s = -47\/4 + x. What is the closest to s in -2\/11, -1\/10, -63?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - p = -37, 0 = -4*k - 4*p + 9*p + 166. Let g(v) = 2 + 2 + 3*v**2 + 0 + 7*v + 2. Let y be g(-4). What is the greatest common factor of y and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 7:21 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 4*k + 11. What is the lowest common multiple of d(-5) and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41554033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 358677901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkeeppplppkp. What is prob of sequence pp?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7498, 7491, 7472, 7435, 7374, 7283, 7156?\n\"Answer: -h**3 + 7499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -976, -984, -998, -1018, -1044?\n\"Answer: -3*g**2 + g - 974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2. Let n(q) = q**2. Let k(j) = 3*n(j) + 5*y(j). Suppose 31*s + 120 = 1298. Let f(t) = -8 + s*t - 87*t + 4 + 43*t. Calculate f(k(h)).\nAnswer: 12*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**8\/84 - 2*b**7\/7 + 31*b**6\/30 + 21*b**5\/5 - 16*b**4\/3 - 32*b**3 + 3*b**2 + 39. Determine g so that y(g) = 0.\nAnswer: -1, 1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8948050 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4 = 2*c - 4*a, -56 = -3*c - 5*a. Solve 5*z - 20 = -2*i, 0*i = -z - 2*i + c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*b - 119*b + 521436 = 109*b. What is the greatest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 480.6, -10, -0.2 in ascending order.\nAnswer: -10, -0.2, 480.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43656 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.075 - 6.975. Let l = a + 6.5. Let z = -31\/22 + 10\/11. What is the third biggest value in z, -1\/4, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35128 + 35128.03. What is the fifth smallest value in 2\/11, -1, -8, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in 0, -4, 4, -0.0505?\nAnswer: -0.0505","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 - 448*v + 300 = 0 for v.\nAnswer: -150, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 3:04 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26598662?\nAnswer: 2, 13299331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07 - -1.93. Let g = -739 + 730. What is the nearest to a in 1\/8, g, -0.2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/12 and -81\/308.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72311824969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 15) to base 12\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*15\/(-50)*(-56)\/21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33283 != 1797343\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -31. Suppose 10*n - 88 = -n. Suppose n*f + f - 360 = 0. Calculate the remainder when f is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + (-209603)\/(-38) + (-5 - -1). Let y = j + -5506. Calculate the common denominator of y and -79\/16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 362, 2141, 6472, 14471, 27254, 45937?\n\"Answer: 186*o**3 + 160*o**2 - 3*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r + 1092 - 2172 + 1089 in the form u*r + k and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 418 by 2.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3119 and -12331.\nAnswer: -9212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 4.419469\nAnswer: 1.7677876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 19171*h**2\/2 - 844031*h\/4 - 220593.\nAnswer: (h - 23)*(h + 1)*(h + 38364)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*(k\/(k\/k**(-28)))\/k)*k*k**(-11)*k)\/(((k*k**21)\/k)\/k*k**(7\/9)) assuming k is positive.\nAnswer: k**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l\/l**(-7)))**42 assuming l is positive.\nAnswer: l**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/749 - -37252\/74151. Find the common denominator of -29\/396 and n.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (116\/(-29))\/((-1)\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6 and 29\/5516.\nAnswer: 16548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 189 - 214.9. Round r to 0 dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2715 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c**3 - 15*c**2 + 24*c - 141. Let v(f) = -f**3 + 3*f**2 - 5*f + 28. Let m(p) = -5*r(p) - 24*v(p). Differentiate m(l) wrt l.\nAnswer: -18*l**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1638*k = 1625*k + 737711. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23969?\nAnswer: 11, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1563368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -379606*t**2*w**3 + 3*t*w**2 - 32*t*w - 764*w**3 wrt t.\nAnswer: -759212*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -84\/18755 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d (base 15) in base 7?\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1015*i + 384684. What is w(379)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 - -47. What is the remainder when 63 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 + 16 + 52 + 66\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1096, 1699, 2308, 2929, 3568, 4231?\nAnswer: 4924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 10. Let o be t(-7). Suppose o*n + 3 = 4*n. Factor 3 - n*p**2 - 7*p - 1 + p - 5.\nAnswer: -3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119501 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: Solve 2*x**3 + 586032*x**2 - 10549134*x + 26373060 = 0.\nAnswer: -293034, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -39*p + 78. Let z(t) = -3*t + 6. Let l = -460 + 487. Give l*z(r) - 2*x(r).\nAnswer: -3*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-1)*5\/(-225)*-18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 673, 669, 663, 655, 645, 633, 619?\n\"Answer: -r**2 - r + 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1507 + 67?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1378*d + 836*d + 30894 = 0 for d.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 120 = 3*j - 9, n - 49 = 5*j. Let r = 177\/4 - n. Let -1\/2*m - r*m**3 - 3\/4*m**2 + 0 = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 7*p**5\/15 - 3331*p**2. Let f(i) = -27*i**2 - 2. Calculate k(f(a)).\nAnswer: 20412*a**4 + 3024*a**2 + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*c - 1. Suppose c*g = 5*g. Suppose -5*v = -g*v - 5. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*i**3 + 365*i**2 - 23637 - 5*i**4 + 23637 + 600*i - i**5.\nAnswer: -i*(i - 8)*(i + 3)*(i + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1582 + -439. What are the prime factors of o?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z**2 + 0*z**2 - z**3 - 3 - 12*z**2 + 4390*z.\nAnswer: -z**3 + 14*z**2 + 4390*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 10, z: 3, d: 2, s: 1, j: 2}. What is prob of picking 1 s and 1 d?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 523 and 78973.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 23*s**2 - 131*s - 15. Calculate i(-11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.0354164 to 2 dps.\nAnswer: 37.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 956617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h = -40*h - 37*h + 660 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 249758?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4302036 is divided by 430203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 2. Let g be n(-7). Solve -4*q + r = 4, -g*q + 10*q + 3*r = -5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*m**5 - 20*m**4 + m**3 + 4176*m**2 wrt m.\nAnswer: -4020*m**2 - 480*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -1354\/3, -41, 0.4, 2\/11, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/448*28*(-96)\/((-6)\/(-2))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u**2 + u)*(-2 + 2*u + 0 - 5*u + (40 - 20 - 86)*(u - 4*u + 2*u)).\nAnswer: 63*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 6 = -2*m, -2*a + 0*m + 5*m + 15 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + z + 5, 4*z + 21 = 5*k. Suppose -5*h - 315 = -5*r, -3*h - k = -2*h. What is the remainder when 120 is divided by r?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.0752263, -17, 0.25?\nAnswer: 0.0752263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/((-32)\/(-137)) - -41?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -3. Let k be 4\/10 - 2\/5. Let f = k - g. Solve -1 = -f*n + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011001000 (base 2) to base 13.\nAnswer: 42a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 811.2302 kilometers in millimeters?\nAnswer: 811230200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 366088 and 4026968.\nAnswer: 4026968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 2*j**2 - 1. Let u be s(-1). Solve 27 = -5*m + u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*l**4 - 45*l**3*x + 453*l**2 - 134702245*l*x wrt l.\nAnswer: 132*l**2 - 270*l*x + 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17950 by -359.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133614456 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 14*y - 9*y. Let o(t) = 2*t**2 + 2*t - 3. Let r(h) = -6*h**2 - 6*h + 8. Let z(j) = y*r(j) - 8*o(j). Is z(5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 15 = -t, -3*t - 3*b = 15 + 15. Let z(u) = 0*u**2 + 2*u**2 - 5 + 5*u + 0. Calculate the remainder when 59 is divided by z(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 11 = -4*c - 5*w, -2*w - 8 = -2*c. Let d be (-2 + c)\/(9\/27). Find the third derivative of -6*p**2 - p + 0*p**d + p + p**3 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)*-3*-1)**2 + (sqrt(56) - 2*sqrt(5600))\/sqrt(8).\nAnswer: -19*sqrt(7) + 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**(2\/85)\/(c**(-2\/7)*c\/(c\/(((c*(c**(-9)*c)\/c)\/c)\/c))) assuming c is positive.\nAnswer: c**(18388\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0291640512 rounded to five decimal places?\nAnswer: -0.02916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 + -3)*(1 - 0). Suppose -x + 4*t = 1, 3*x + g*t = -0*t - 20. Let w(d) be the second derivative of -d**4\/12 - 5*d**3\/6 + 3*d**2 + d. Give w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 4*k + 8. Let r(h) = -8*h**3 + 2*h**2 + 2*h + 1. Let l = -1 + 0. Calculate the least common multiple of r(l) and v(4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i**5\/3 - 15550*i**4\/3 - 320074*i**3\/3 - 425910*i**2 - 113100*i = 0. What is i?\nAnswer: -15, -5, -2\/7, 0, 1131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w**4 + 4*w**3 - 6*w**2 + 16*w + 11. Let g(s) = -s**4 + 2*s + 2. Let k(j) = -6*g(j) + p(j). Let k(m) = 0. Calculate m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = -5*s + 11*s. What is the units digit of 344\/(s\/(-30) - -3) + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10875 divided by -2175?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20421318053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 21681373 = -d - 21681379, -4*r = 4*d + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -1.78, -1\/2, 76464?\nAnswer: -1.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ommooooomomomo. What is prob of picking 2 m and 2 o?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3477172213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.04 - 14. Let d be (0 - 1)*-3 + 108\/(-30). Sort d, k, 3, 0 in descending order.\nAnswer: 3, k, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239121 - (1 - -11 - (-108 - -118)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by -970686\nAnswer: 31\/485343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(40)\/sqrt(2).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13493 + -7248. List the prime factors of t.\nAnswer: 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142777?\nAnswer: 67, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3*v**5 - m**3*v + 2*m**2*v + 2*m*v - 72405*v**5 + 1759*v + 11 wrt v?\nAnswer: 20*m**3*v**3 - 1448100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58879 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.129897 - 2.13. Round x to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b + 10. Let y be s(5). Suppose w - 844 + 189 = 0. Suppose y*j - w = -j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 631 divide 19905526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2784 - -3?\nAnswer: -2781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hiwb when four letters picked without replacement from {w: 3, h: 1, q: 1, i: 3, b: 11}?\nAnswer: 11\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 736716417 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -347736 divided by 8.\nAnswer: -43467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 69?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from yhyiiguffiufyfguyuyf.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.66 + -0.4. Let l = w + 3.22. Let y = -0.02 - l. Round y to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23015418 by -1.\nAnswer: -23015418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 + 0*u**4 - 2*u**4)*(-18*u + 10*u - 10*u - 9*u) + u**5 + 3*u**5 + 2*u**5.\nAnswer: 33*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/27, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15ccbc73 + 4?\nAnswer: -15ccbc6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*l**5 + 27*l**3*x - 2*l**2*x + 3*l**2 - 60*x wrt l.\nAnswer: -480*l**2 + 162*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 151.5484222 to 2 decimal places.\nAnswer: 151.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 2*c - 1. Suppose -3*t - 2*a + 448 = 3*a, 0 = -5*t + 4*a + 796. Let v = t + -151. What is the remainder when w(-2) is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026316080 to the power of 1\/3, to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 341 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j = 0. Let a(w) = 2*w**3 - 51*w**2 + 18*w + 179. Let p be a(25). Sort -18, p, j in ascending order.\nAnswer: -18, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170.683 - -171. What is x rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32155270 - 32155288 + 64310558 - 3*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, -3, -0.143.\nAnswer: -24, -4, -3, -0.143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-3*1))\/2. Suppose 8*y - 3*y + 5 = f. Let k be (y - -2)*17 - -1. Solve 3*w - 1 = -2*u - k, -5*w - 30 = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*u = 104*u + 22. Let j be (-1 + (-4 - u))\/((-15)\/(-10)). What is the closest to -0.01 in 3, j, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8265508 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14 - 16)\/((-1)\/2). Suppose 0 = -4*b - 4*w, 2*w - 8 = 4*b + g. Let j(v) = v**2 - 3*v. Let z(y) = y**2 - 2*y. What is b*j(k) + 3*z(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o = 1209 + 995. Let c = 121 + o. Solve -x - c = -8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 672 = -680 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.94129 rounded to 1 dp?\nAnswer: 126.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*s + 4*d, 0 = -s - 4*s - d + 15. Let x = 0.8 - 0.3. Let h = 0.46985 + -0.26985. Put s, h, x in ascending order.\nAnswer: h, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*p = -34. Suppose -5*h + l + 118 = 0, -3*h + 84 = l - 6*l. Let x = h - 14. Calculate the remainder when p is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + u)*(5 - 3 + 1) - 1 - 2*u + 1)*(-2*u**3 + 2*u**3 - 5*u**4).\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1\/5 (c) -3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 329 + 322 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Suppose 2*j - 28 = -4*w + 4*j, -j - 26 = -x*w. Let f = 18 - w. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11316466.5 rounded to the nearest one thousand?\nAnswer: 11316000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.3 and 0.12631?\nAnswer: 8.17369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.09967 to two dps.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3 + d**3 - 6 + 6*d + 12 + 7*d**2. Let y be k(-6). Suppose p + o - 23 = -0*p, y*o + 3 = p. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 1 + 1)*((-3 + 3 + r)*(4*r + 0*r - 3*r) - 2294 + 2294 + 95*r**2).\nAnswer: 192*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(0 - 1 + 0)*(61 + 15 - 34)*(0*t - 4*t + 2*t).\nAnswer: 84*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, b: 1, q: 3, j: 2}. What is prob of picking 1 b, 1 q, and 2 w?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 8:56 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -140*((-2)\/4 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (172 - 84 + 15*t - 87)*(-t + t + 3*t).\nAnswer: 45*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b + 2*t + 348, 5*t - 669 = 4*b. Let j be b\/(-54) + 2\/(-12). Suppose 5*k - y - 127 = 3*y, 5*y = j*k - 71. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 69.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -318\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -23384*s - 1. Let v(i) = -29*i. What is g(v(y))?\nAnswer: 678136*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/(-14)*(-2)\/3. Suppose -f*p - 6797 = -4*p - 3*n, -3*p - 5*n = -20395. Round p to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35659 + -71309\/2. Factor 27\/4 - 13\/2*o**3 - 9\/4*o**4 - 1\/4*o**5 - r*o**2 + 27\/4*o.\nAnswer: -(o - 1)*(o + 1)*(o + 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88747074.\nAnswer: 2, 3, 13, 251, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1059 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 3*f**2 - 7*f - 6. Determine s(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, 5, 6772 in ascending order.\nAnswer: -102, 5, 6772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -6*g + 12. Suppose -g*v + 51 = -21. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11452 in 0.2, 0.4, 0.5, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(187) + sqrt(187)*-2))\/((sqrt(55)\/sqrt(5) + sqrt(11))*-4) - ((sqrt(187) + sqrt(187)*1)*-5)\/(-2*sqrt(11)*-4).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411513 divided by -5.\nAnswer: 411513\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 289581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/4 - (-3)\/12. Let w(y) = -1. Let q(b) = 3*b - 2*b + 7 - 2. Let a(l) = 4*q(l) + 22*w(l). Let p(o) = o. Determine j*p(k) + a(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + d + 2 = o, -3*o + 3*d + 6 = 0. Solve o = 2*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125104 is divided by 993.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 2*l + 4*u + u - 11 = -2*l, -5*l + 2*u + 16 = -0*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13*(-94)\/(43992\/2124)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/9)\/j*j**(-5\/2)*j*j)\/(j\/j**10*j\/(j\/(j\/(j**(15\/4)\/j)))) assuming j is positive.\nAnswer: j**(349\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/31846284 and 53\/257202.\nAnswer: 350309124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 91577229 divided by -709901?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -11. Suppose -240 = -5*n + 2*r, 6*n - r = 3*n + 143. What is the smallest common multiple of s and n?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y = 949 + 11. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 14*u + 447. Determine h(-32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 42\/5 of a microsecond?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 166*z - 1027. Let u be l(6). Which is the closest to -0.2? (a) u (b) 4 (c) -0.11 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727858735.\nAnswer: 5, 145571747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5458357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 31, 3\/10, 0.003?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 1724\/7*n**2 + 51\/7*n**4 - 720\/7*n**3 - 2304\/7 - 1\/7*n**5 + 192\/7*n = 0?\nAnswer: -1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.043 and 0.0884.\nAnswer: 0.0038012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -729, -1459, -2189, -2919?\nAnswer: -3649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 11*b + 20. What is n(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15b04 (base 14) in base 6?\nAnswer: 1055212","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t + 17 = -5*y, -2*t + y + 13 = 0. Suppose 0 = t*d + 6*d + 590. Which is greater: d or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/59? (a) 2\/5 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyvyvynyyyyy. Give prob of picking 1 y and 1 v.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3233324 and 614?\nAnswer: 3233324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = j - 5, -3*j = 2*y - 1 - 7. Suppose -13*l = -y*l - 480. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-3))\/(3\/(-45)). Let u be ((-204)\/w)\/((-26)\/(-195)). What is the greatest common divisor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14239, 22392, 30543, 38692, 46839, 54984?\nAnswer: 63127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23\/(230\/(-33) - -7). Suppose 24*v - 35*v + c = 0. Calculate the remainder when v is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*x - 20, 0 = 8*q - 4*q. Solve -g - x*g = b + 8, -4*b = -5*g - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {h: 2, m: 3, k: 3, x: 1, a: 1, p: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(80)*-1 + 3 + sqrt(80))**2 - 2*(-1*sqrt(80))**2 - (sqrt(25)*2*1)\/(sqrt(5) + -4*(sqrt(5) - sqrt(25)\/sqrt(5)))).\nAnswer: 6*sqrt(5) + 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + -20. Let b = o + 67. Sort 4\/3, -5, b in decreasing order.\nAnswer: b, 4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 114*o - 2. What are the prime factors of g(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p + 3. Let o be g(5). Let f = -91 + 54. Let n = o + f. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 2 + 3)*(-2*k + 2*k - 2*k) + 7*k - 35 + 35)*(3 + 4 - 5 + (3 - 3 - 2)*(-5 + 3 + 3) + 6 - 1 - 3 + 1 + 1 + 0 + 2 - 2 + 9) as n + s*k and give s.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*o - 185, 5*f - 79*o = -75*o + 909. Solve 34*p - f = -11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzktttytb. Give prob of picking 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138327 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -738b (base 12) in base 14?\nAnswer: -4867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 616.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/23 - 84528*p**2\/23 + 893038314*p\/23 + 1786414756\/23.\nAnswer: 2*(p - 21133)**2*(p + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11473171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = -29*k + 8. Let x(s) = -1 + s - s**k - 7*s + 0. Suppose 5*q + 26 - 1 = 0. What is x(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 + 73 + (4 - -1) - (-75 + (-13 - 27))\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 9*o**2 + 5*o + 4. What is t(-6)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 11 = -0*v. Let d(p) = 138*p - 5. What is the units digit of d(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40799 and 33043481?\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 7*r**2 + 2*r - 10. Let c be q(-7). Let y = c - -26. What is the first derivative of -16*k - 17*k**y + 16*k - 21*k**2 - 34 wrt k?\nAnswer: -76*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(11\/3))**(-14) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 25) + 110\/(-8).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 570*w - 11 - 426*w + 21 as i + q*w and give q.\nAnswer: -996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-6))\/(1\/6). Suppose -r*w + 8*w = 190. Let y = 13 + w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/2551 + 17861\/10204. What is the closest to 1 in l, 2\/3, 11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-51 + 27993\/559)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 504\/2759 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**41*(i**(-1))**(-14\/11))**(-1\/20) assuming i is positive.\nAnswer: i**(-7\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 27 = -5*u, -32 = 4*u - 43*z + 54*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.96 + 15.06. Which is the closest to h? (a) -0.2 (b) -2 (c) -153 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 + -156. What is the highest common divisor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(1\/41))\/v))\/(v\/(v\/(v\/v**12)*v*v))*(v**(3\/28))**(-13\/2) assuming v is positive.\nAnswer: v**(30489\/2296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Suppose -u - 34 = -6*u + t*p, -5*p = -u + 20. Suppose -u*i - 3*y = -249, -5*i - 3*y + 243 = -2*y. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 1:20 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 613683 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or -14608?\nAnswer: -14608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**4 + 8*s - s + 2*s - 2*s wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-3)*1\/13\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2892 and 7\/1928.\nAnswer: 5784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/8 - 363\/(-396))*6. Sort 0.4, 5.7, x, 1 in decreasing order.\nAnswer: 5.7, 1, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 divided by 827044.\nAnswer: -71\/413522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 2:06 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -728478, -1457104, -2185730?\nAnswer: -2914356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 i, and 1 p when four letters picked without replacement from {i: 3, g: 5, o: 1, r: 5, p: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/(-10) - 6\/15. Let u be -1*g\/6*4. Suppose u = 5*k - 28. Solve -k*i - 20 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 9*x + 30. Sort 0, 5, -7, x in ascending order.\nAnswer: -7, x, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) -0.14 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*s + 5*f, 5*s - 3*f = -7*f + 7. Suppose 0 = -4*z + s*l - 0*l + 462, 3*z - l = 344. Suppose 3*d = d + z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79\/3 + -27. Let w = -0.07 - 0.03. What is the nearest to w in -1\/5, h, -1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwh. Give prob of picking 2 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1500958 is divided by 300178.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/(-51))\/(((-1000)\/12)\/5).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -544, -548, -552, -556?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -20 + 8. Suppose -5*k + k - 13 = 5*o, 5*o = -5*k - 15. Let i be o\/(-2)*(-208)\/(-4). Solve i = 5*l + u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 51*b**2 - 1681*b + 26078. Determine j(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 454 + -452. Which is the third smallest value? (a) t (b) -33 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 9*n + 3. What is q(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5851 is divided by 845.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/5))**(-3)\/((d**(-6\/7)*d)\/d**(-1\/2)) assuming d is positive.\nAnswer: d**(-339\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 3*y - 4. Let p be b(-3). Let c be 6\/(-15) - (-16)\/(-10). Let v = -4 + 3. Put p, c, v in ascending order.\nAnswer: p, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -309431 and -309431 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3542550 to the nearest integer?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s = 57679 + 13746. List the prime factors of s.\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5085 and 37755.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 + x**2 - x**2 + (-2*x + 4*x + 0*x)*(-5*x + 2*x + x) + 18*x**2 - 15*x**2 + 29*x**2 to the form t + p*x + a*x**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/37)\/(d\/d**7)*(d**7*d)\/d**(-6))**(-15) assuming d is positive.\nAnswer: d**(-11130\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -5*u - 3*x + 9, u + 2*x = 13. Suppose 2*t = -2 - 6. Let s(h) = h**2 + 4*h + 2. Let b be s(t). Solve -v + u - b = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjyyjuujjyuuyjuuyyj. What is prob of picking 1 u and 3 y?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -379077.350147 - -379077. Let w = 4.95 - 4.6. Let k = q + w. Round k to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (274\/9)\/(-2) + (-72)\/(-324). Which is smaller: s or -13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5\/((y\/(y\/y**4))\/y*y**(-5\/6)\/y)*y**(-10)*y**(2\/77) assuming y is positive.\nAnswer: y**(-2837\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 31 - 77 = 0. Let n be (3499 + 1)*(l\/(-6) + 33). Round n to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/12 + (-2)\/8. Suppose 0*m = v*m - 4. Let b = 1 - -8. Solve -x + 12 = x + 4*p, -m*x + 3*p = b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0 + 3\/4*d**4 - 1\/60*d**5 + 0*d + 5*d**2 - 2\/3*d**3. Is i(16) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q + 12 = 19*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 24?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2032 from -0.067.\nAnswer: 0.1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 98513 = -2277. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 - 2. What is the nearest to -1 in 0.3, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-10))**(2\/145)\/(((g**12*g)\/g)\/(g\/(g*(g*g**19)\/g)*g*g)))**9 assuming g is positive.\nAnswer: g**(-7605\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47278, 94571, 141884, 189223, 236594, 284003, 331456, 378959?\nAnswer: 426518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-7)*1)\/((-17)\/238). Let y(r) be the third derivative of 5\/96*r**m + 0 - 1\/12*r**3 - 2*r**2 - 1\/60*r**5 + 1\/480*r**6 + 0*r. Factor y(s).\nAnswer: (s - 2)*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-33 - 16610\/(-506))*-92\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f + 960805*f**3 + 55*f - 960814*f**3.\nAnswer: -9*f**3 + 68*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/2 - 123*y**3 + 1767*y**2\/2 - 512*y - 1518 = 0.\nAnswer: -253, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Suppose 4*u = 21 - 9. Let l(w) = w + u*w - 5*w. Determine a(l(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) 1 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 458 divide 391003217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 7. Let z(o) = -8*o**2 - 7*o. Let g(f) = 7*f**2 + 6*f. Calculate t*g(a) + 6*z(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -112.457 (b) -5\/4 (c) -4 (d) -2\/7 (e) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93480183.\nAnswer: 3, 3462229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861558828.\nAnswer: 2, 3, 13, 59, 93607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (11 - 11)) + 13 - 32.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 6887220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*l*q**2 + 2*l*q - 157*l + q**2 with respect to q.\nAnswer: -162*l*q + 2*l + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3892235 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6\/37 + -176\/629. Let x = -0.96 + -4.04. Let q = 140 + -139.2. Which is the nearest to -1? (a) o (b) q (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + p + 1. Let a(l) = -6*l**2 - 35*l + 3. Let g(h) = a(h) - 3*n(h). Find the second derivative of g(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4396 - 4369. Suppose -2*c + 11 = 5*d, 0 = 6*c - 3*c - 3*d - 69. Calculate the smallest common multiple of q and c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148 * -0.4\nAnswer: 59.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 3. What is z(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1151*u**2 + 73*u - 77*u - 31*u - u**5 - 25*u + 333*u**2 wrt u.\nAnswer: -20*u**3 - 1636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339, 536, 361, -372, -1849?\nAnswer: -4256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29054481\/340 - 85454. Find the common denominator of -19\/25 and r.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -3. Let p(w) be the third derivative of 1\/315*w**7 + 0 + w**2 + 1\/15*w**5 + 1\/9*w**g + 1\/9*w**3 + 1\/45*w**6 + 0*w. Suppose p(y) = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-399)\/(-228)*(8\/2)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 4*l + 5. Let q be d(-3). Let f(m) = -6 + 3*m + 5 - q - 2*m. Calculate f(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/7, -2, -5, 1\/2.\nAnswer: -5, -2, -5\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*45\/6*32\/(-16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + c**2 - c + 2. Suppose -4*m - 3*x - 18 = 0, 7*x = 5*m + 3*x + 7. Determine h(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -142*b**2 - 99*b + 99*b + (-5*b + 0*b + b)*(0*b - 3*b + b) + b**2 + 2*b**2 + b**2.\nAnswer: -130*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1414 minus 16.41?\nAnswer: -16.5514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3878 less than or equal to 7232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a**2*t + 1889*a**2 + 3*a*t - 2*a + 90*t - 1 wrt a.\nAnswer: 18*t + 3778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5272414 by -19.\nAnswer: -5272414\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11401323432 (base 5) in base 7?\nAnswer: -221054545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gge when three letters picked without replacement from gqqqqgqeeqeeqq?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138 + -86. Suppose 4*s - z - 577 = 0, s - d = -4*z + 88. Does 36 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:49 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -75 times -0.30728\nAnswer: 23.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/16444 (b) 3\/5 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 690869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggg. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000097748425 rounded to 7 dps?\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 39870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -739 + 795. Calculate the greatest common factor of 1400 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qviq when four letters picked without replacement from vviivvvviiivqvvvqivi.\nAnswer: 77\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/25)\/c)\/(c*c**9*c)*c*c**(2\/5)*c**(2\/17)*c assuming c is positive.\nAnswer: c**(-4064\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/((-8)\/354))\/((-42)\/280) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 7:35 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 9. Let b be q(6). Let m be (-1 + (-699997)\/b)*3. What is m rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:29 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15936, 32000, 48064, 64128, 80192?\n\"Answer: 16064*f - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1097044176 rounded to the nearest one million?\nAnswer: -1097000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*d - q - 1, -q = 5*d. Let t be (3 + d)\/((-6)\/(-3)). Find the third derivative of 6*p**4 - 451 + p**t + 451 wrt p.\nAnswer: 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j + 53143 = 52701 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/7 - 916*l**2\/7 + 4642*l\/7 + 5556\/7.\nAnswer: -2*(l - 6)*(l + 1)*(l + 463)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 76 = -g, -4*p - 617 = -609. Is g not equal to 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 10*g + 3474 = 8*g, -5*k - 3*g + 8701 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005541 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 0*s + 0*s + (s - 4*s + 2*s)*(2*s + s - s) + 238*s**2 - 2578*s + 2589*s - 374*s**2 to the form i*s + p*s**2 + h and give p.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -2, -138.\nAnswer: -138, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17635311 divided by -279?\nAnswer: 63209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 1:59 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -20, -743 in ascending order.\nAnswer: -743, -20, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 24*h**2 - 170*h - 288. Let w be y(30). Solve 181*c + w = 179*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*8*(-15)\/60?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131599*d**3 - 50451*d**2 - 3*d.\nAnswer: 789594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 plus 58?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i\/(i*i**(-29)*i)*i*(i*i**(-30))\/i*i)**(-20) assuming i is positive.\nAnswer: i**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -44. What is the nearest to 1 in g, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7708157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -181649 and 6.188.\nAnswer: -181642.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 24, 47, 60, 51?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68647, 137109, 205571?\nAnswer: 274033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/195583199 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 582412032.5867 + -582388139. Let m = -23874 + i. Let l = m - 19.6. Round l to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from {x: 1, n: 3, s: 1, i: 2, m: 2, z: 6}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -38. Let f(o) = -o - 9. Let q be f(l). What is the third derivative of -14*n**5 - q*n**6 + 14*n**5 + 0*n**2 - 12*n**2 wrt n?\nAnswer: -1200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 20*n**2 - 2*n - 35. Let r be ((-16)\/10)\/(16\/200). Let i be l(r). Solve -4*q = i*k - 12, -k - 6 = -2*q - 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 15. Which is the closest to 0.2? (a) 2 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -808?\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 6. Suppose 3 - 2 = -t. What is the closest to 1\/4 in 3, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 431.376 - 429. Let v = i - 0.036. Round v to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/21*c**2 + 4\/7*c - 2\/21*c**3 + 0.\nAnswer: -2*c*(c - 1)*(c + 6)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**8\/1176 + 2*f**7\/735 - f**6\/210 - 2*f**5\/105 + f**4\/84 + 2*f**3\/21 + 55*f**2. Solve m(u) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -81668 - 302. What is the thousands digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206*h*t**2 - 95*t**2 wrt h.\nAnswer: 206*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929222989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4022 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 462. Suppose -4*g = -4*t - g + p, 3*t = 2*g + 341. Suppose o + 53 = 4*o + 5*v, 0 = 5*o - 4*v - t. Calculate the remainder when 62 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14950, 29908, 44868, 59830?\nAnswer: 74794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -251241463677.\nAnswer: -251241463676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166951 is divided by 12835.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101*h**3*p*v*z**2 - 92*h**3*v**2*z**3 - 538*h**3*v**2 + 2*h**2*p*v**2*z**2 + 205*h*p*v**2*z**3 wrt z?\nAnswer: -552*h**3*v**2 + 1230*h*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12971)\/867 - (-30)\/2?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60024672?\nAnswer: 2, 3, 69473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**7\/1155 - n**6\/220 - n**5\/165 + n**4\/11 - 8*n**3\/33 + 5*n**2 - 5*n. Let z(o) = 0. What is o?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9 = -2*f. Let b be f + (-8)\/(-4) + -2. Let n(x) = x**2 + 2*x - 3. What is n(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 11 + 4. Let u(q) = q**2 - q - 9. Let t(p) = -p**2 + 10. Let f(i) = -3*t(i) - 4*u(i). Let z be f(j). Solve -s - z = -0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 43*c - 1. Does 5 divide m(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(15\/2) + 84\/15. Let d(p) = p**3 + 7*p**2 + 8*p + 12. Calculate the remainder when (-522)\/4*(0 + l\/(-9)) is divided by d(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*o + 18, -2*j - 3*o + 1 = -2*o. Let r(b) = 7*b**3 + b**2 - 7*b + 4. Let i(w) = 3*w**3 - 3*w + 2. Let p(k) = j*r(k) + 5*i(k). Factor p(x).\nAnswer: (x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 500561 - -3?\nAnswer: 500564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15250644 and 18603?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/10*(44\/8 + -3). Suppose 27 + 141 = -5*f - u*t, t = 2*f + 65. Let g = 35 + f. Solve g*s + 4 = -4*w + w, -s - 2 = 3*w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 23. Let g(q) = q + 1. Determine g(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18390\/20*1*4\/3. Suppose 5*n = p - 291. Suppose 0 = 3*g + 9, 4*c = -3*g + 48 + n. Calculate the remainder when c is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a + 15*a - 24 = 3*d, -2*a = -2*d - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 2679887.\nAnswer: 16\/2679887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -0.2, -560, -13, -3\/4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.835 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - -41. Let g = -47 + a. Let m = 16 + g. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 13.823806?\nAnswer: -6.911903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771358.\nAnswer: 2, 7, 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 225419 to the power of 1\/2, to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = -15*o - 429 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -274.\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, 13, 44, 97, 178?\n\"Answer: g**3 + 2*g**2 + 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1000*q + 11*q**3 - 992*q - 1026*q + 3018*q.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5480710777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -96104530 rounded to the nearest 100000?\nAnswer: -96100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/3, -545.58 in descending order.\nAnswer: -2\/3, -3, -545.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3739, 7478, 11217, 14956, 18695, 22434?\n\"Answer: 3739*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/1417, 1\/9, 305, 0.1, 2\/7 in descending order.\nAnswer: 305, 2\/7, 1\/9, 0.1, 2\/1417, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s + 28403*s**3 + 22*s - 28404*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*c - 76. Solve 9*m = 4*m + c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4*i**(-8))\/((i**(-3)\/i)\/(i*i*i**1)) assuming i is positive.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.07 + 0.07. Let z = 5.4 + d. What is the closest to -2 in z, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - (-1 - (-2)\/(-2)). Suppose 0 = 10*f - 58 - 42. Calculate the least common multiple of f and k\/(-4)*(-12)\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - z - 2*z)*(-3 + 3 - z**3)*(2*z - 2*z - z) - 4*z + 6*z**5 + 4*z + (6 + z**2 - 6)*(-4*z**3 + 0*z**3 + z**3).\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1950*y**4 - 126*y**2 wrt y?\nAnswer: -46800*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*0\/(-2). Let s(r) = 4*r - 13. Let o(u) = 3*u - 9. Let h(z) = 8*o(z) - 5*s(z). Let m be h(9). Solve -a + 5 = v, l - a + 6*a - m = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109601 - 109145. Let x = -57 + 81. Calculate the highest common divisor of z and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 5*c**2 + 8*c + 88. Let x be t(-6). Suppose 0 = 4*b + 4*p - 680, 0*b - 2*p - 161 = -b. Suppose b = x*u - 9. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in -2\/5, 16, 5, -4\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 + 18*f**2 + 2*f + 12. Let t be q(-6). Let u = 0.59 - 0.09. Which is the closest to t? (a) 0 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517364 (base 10) to base 13.\nAnswer: 151643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 12:57 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*s - 273*s - 121 = 0. Let u = -235 + 162. Let k = u - s. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + d2?\nAnswer: d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 3 - (-22 + 6). Suppose -3*i + j = 4, 3*j + 2 - o = i. Find the third derivative of -3*b**2 + i*b**4 - 2*b**4 + 3*b**4 + 0*b**4 wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 4*z - 26, -5*z = 5*h - 15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/(-6) - 3\/9. Suppose 0 = -q - n - 3 + 2, k*n = -3*q - 13. Find the second derivative of -2*s + s**q - 2*s**4 + s wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-24)\/(-14) + -2)\/(17\/(-1071)). Solve 12 = -y + 3*r, 2 = -4*y - 4*r + d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(v**3 + v**3 + 0*v**3) + v**2 - 2*v**3 - v**2 + (-1 + 1 + v)*(2*v**2 - 2*v + 2*v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcsclccllcccccsccgl. What is prob of sequence gs?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -125274.07061?\nAnswer: -125274.17061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 870 and 9090.\nAnswer: 263610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -353, -1059, -1675, -1739, -789, 1637, 6001?\n\"Answer: 77*v**3 - 417*v**2 + 6*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41344992?\nAnswer: 2, 3, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -65003422*a + 24327975.\nAnswer: -65003422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3525141 (base 7) to base 8.\nAnswer: 1542271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 158953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -48 - 76) + 1 + (1 - -2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*t = -34, 3*z = -4*t - 3 + 17. Let w = 0 + z. Let s be 4\/w + (-18)\/27. Solve s*k - 9 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66611 and 354?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9*-1.7882.\nAnswer: -3.39758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 157837009 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (39 + -5 - 60).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970519 is divided by 15580.\nAnswer: 4559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.47845 times -33?\nAnswer: -81.78885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 761 from 3.\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 2:11 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 11:43 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4460 and 276?\nAnswer: 307740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 84726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020981031 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 + o + 1. What is the least common multiple of j(-1) and (-38)\/(-4) - (-3)\/(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1, -10.7, 22, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-5\/6)\/n)\/n**(-8\/9))**19)**23)**(4\/3) assuming n is positive.\nAnswer: n**(-14858\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/20)\/u*u)\/(u\/(u**16*u)) assuming u is positive.\nAnswer: u**(323\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**7\/525 - 11*o**6\/150 + 12*o**5\/25 - 37*o**4\/30 + 5*o**3\/3 - 59*o**2 - 3*o + 6. Factor f(d).\nAnswer: -2*(d - 1)**3*(d + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034 minus 18?\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 31.125 and -2.\nAnswer: 29.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*x**2 + 93*x - 4 = 0. Calculate x.\nAnswer: 4\/89, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z + 16*z = -217. Let l be (48\/7 + -4)*(0 - z). Solve 18*h - 13*h = -l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-78)\/585)\/((-3)\/75))\/((-8)\/6).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 65a78 - -2?\nAnswer: 65a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 19)*(-1 + 6\/1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 3*a - a. Suppose -5*c = 4*l - 224, 5*l + 31 = c - a. What is the highest common factor of c and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w - 39. Let f be u(6). Is (8\/72*f)\/(1\/(-2361)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18300, -18303, -18306?\nAnswer: -18309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.7650917 micrometers?\nAnswer: 0.0000007650917","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v**2. Let f(k) = -7*k**2 - 9*k**2 - 10*k**2 + 23*k**2. Calculate q(f(a)).\nAnswer: -72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 11*h**4 - 11*h**4 + 3*h - h**4 + (2*h**4 - 3 + 3 + (-1 + 1 + 2*h)*(-11*h**3 + h**3 - 13*h**3))*(1 - 5 + 6).\nAnswer: -111*h**4 + 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Suppose 0 = -o*p - 0*p + 390. Suppose -5*m - 4*l = l - 85, l = -3*m + 43. What is the greatest common divisor of p and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31872990 is divided by 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2 = 4*x, 8 = -4*x + 117*d - 121*d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**3)**47*(l*l**4)**(-4\/3) assuming l is positive.\nAnswer: l**(544\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. Let j = d + -1. Let h = -0.1 + j. Which is greater: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 + y + 2. Let r be k(6). Suppose -5*j + r = 4*c - 0*j, 4*j - 40 = -c. Suppose -p = 2*p - c. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/783 - 734\/5481. What is the second smallest value in -22\/27, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5913*y**2 + 35*y. Let z(v) = -954950*v**2 + 5649*v. Give -807*c(r) + 5*z(r).\nAnswer: -2959*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhkdbuuukukbkuukhudu. What is prob of sequence hdk?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(156) - -3*sqrt(156))*-1 + sqrt(156))\/(2*(sqrt(48) + sqrt(12))) - ((-6*(sqrt(208) + 0) - sqrt(208)) + 0 + sqrt(208) + -3)))**2.\nAnswer: 1269*sqrt(13) + 258777\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -31*x**2 - 1703*x + 96. Calculate h(-55).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a**(-2\/9)\/a*a))*a**2*a**(-1\/11)*a**(-2)\/a assuming a is positive.\nAnswer: a**(-130\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10093 - -10100. Let b(n) = -n - 1. Let m be b(-6). Let c(a) = -5*a - 1. Let i be c(-1). What is the second smallest value in r, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21440, -94822, -217126, -388352, -608500?\nAnswer: -877570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y**2 + 32*y + 40. Let b(d) = -2*d**2 + 2. Let k(g) = 5*b(g) - x(g). Determine k(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2 = -6*l. Suppose 0 = 8*c - 12*c - 4*m + 872, -4*c = l*m - 878. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44199, -176792, -397783, -707172, -1104959, -1591144?\nAnswer: -2165727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - h**2 - 3)*(h + 2*h + 0*h) + (-3*h + 0*h - h)*(-2*h**2 + 6*h**2 - 2*h**2).\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106296 and 396?\nAnswer: 3507768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**0*u))**13)**(-1\/31)*(((u*u**(-2\/7))\/u)**(-19))**(-16) assuming u is positive.\nAnswer: u**(-608\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 38.40932 litres?\nAnswer: 38409.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-2))\/((-14)\/21)*(-3072)\/(-2304)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 1)*(-b**2 + 3*b**2 - b**2) + 9*b**2 - b**2 - 3*b**2 to the form w*b**2 + j + g*b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-2 - -4)) + (3 - 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 1747*x**7\/210 + 1453*x**3\/6 + 1267*x**2 + x. Differentiate q(h) wrt h.\nAnswer: 6988*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -13 + 5*c**5 + 1 - 5*c**3 - 15*c**4 + 158*c**2 - 8 - 123*c**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 38, 203 in ascending order.\nAnswer: 6, 38, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 6*q + 12 = 0. Sort -1, 1, q in decreasing order.\nAnswer: q, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-2 - (1 + -18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 9. Suppose 3*p - 67 = 7*p - 3*v, -2*p - v = 21. Let g be w(p). Solve 8 = -r + 3*r, g = -4*m + 5*r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*x + 20810 + 17206 = 87*x. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003283 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 1192 = 4*o + 6*w, -5*w = o + 287. Which is bigger: -295 or o?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127241?\nAnswer: 3, 251, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510 divided by -3.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 5*o**2 + 5*o - 3. Let w be k(6). Let u be (32 - -3)*w\/(-5). Suppose u = 3*p - 45. 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: Suppose -y = -1, -3*i + 0*y + 41 = -y. What is the remainder when 25 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1040*h**4 + 87 with respect to h.\nAnswer: -4160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 = -10*x + 178. What is the greatest common factor of 3705 and x?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*a**2 - 77*a**3 + 1 - 3 + 75*a**3 - 3*a + 1 - 1 + a**3 - a**3 - a + a + (a**3 + 0 + 0)*(2 + 0 - 4) + 2*a - 2*a + a**3.\nAnswer: -3*a**3 + 9*a**2 - 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-20)*1*2040\/(-544)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -9 - 9*b + 0*b - b - 17*b. Let l(n) = 14*n + 5. Let a(k) = 5*g(k) + 9*l(k). Let m(y) = -2*y. What is a(m(w))?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47871.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470, -1892, -4284, -7646, -11978, -17280, -23552?\nAnswer: -30794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3202 (base 5) to base 9.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4480 and 140.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*g - 7895 = 2527 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38360 - 38360 + 254*u)*(6 - 1 - 2)*(-1 + 1 - 2*u) to the form r*u**2 + q*u + w and give r.\nAnswer: -1524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4972*o**3 + 73*o**2 - 22*o**2 + 1 - 4973*o**3 to the form a*o**3 + m*o**2 + f*o + s and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**4\/6 + 4*h**3 + h**2 - 39*h. Let j be y(-15). Suppose -j - 152 = -4*v. What are the prime factors of v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**3 + 2782975*s - 2782975*s.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/3 - 34\/15. Which is the second biggest value? (a) 3 (b) 1\/4 (c) -2\/13 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 u when three letters picked without replacement from {t: 3, b: 3, u: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2. Let h(q) = 42*q**2 + 149937*q. Give h(s(g)).\nAnswer: 42*g**4 + 149937*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(2\/(-1) - (-180)\/120). Let l(d) = -4*d**3 - 3*d**2 + 5. Let z(a) = a**3 - 1. What is k*l(q) - 5*z(q)?\nAnswer: -q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3, 0, -259, -15, -32 in descending order.\nAnswer: 0, -3, -15, -26, -32, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3408560028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d + 41*d + 30*d - 90*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -10079 at least as big as -30235\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {u: 3, x: 4, c: 2, j: 1, k: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42 + -2011?\nAnswer: -1636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 367 + 92 = 0. List the prime factors of l.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Let n = -1.2 - 6. Let u = n + 7. Which is the closest to -0.1? (a) u (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 2. Let o be u(-2). Suppose 0 = -5*l + 4*s + 288, 0 = 5*l + s - o*s - 278. Calculate the greatest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**(-6\/11)\/(s\/s**(-2))**(29\/5) assuming s is positive.\nAnswer: s**(-837\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1245 (base 6) to base 13\nAnswer: -1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + 3. Calculate the remainder when 4\/(-6) + 1200\/x is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 + 233. Suppose -3*l = -c - 369, l - 52 = 5*c + z. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32*u**2 + 53*u**5 + 0*u**5 + 15*u**5 wrt u?\nAnswer: 4080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 12 - (-7 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, n: 1, k: 1, s: 2, u: 1}. What is prob of sequence lnl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*v + 18 = 4*p, 4*p + v - 13 = 0. What is the greatest common factor of p and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 2*o - 16, 7 = -4*s - 62*o + 61*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6754, 6806, 6892, 7012, 7166, 7354, 7576?\nAnswer: 7832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12540.\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7986*t + 8046*t - 2312 = 592 + 696 for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0*t + 1\/6*t**4 + 2*t**2 - 4\/3*t**3 + 1\/2*t**5 + 23\/120*t**6 + 0 + 1\/42*t**7. Solve l(v) = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/222 and 17\/18702?\nAnswer: 691974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55, -121, -187?\n\"Answer: -66*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30047305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 988.80193 rounded to one dp?\nAnswer: 988.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 62*k + 61*k = -63, 4*k + 73 = -24*s + 19*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10555022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = -36. Let n = 13 - r. Is 317*((4 - n) + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 11*a - 9. Let z be (-8448)\/(-1386) - 3\/((-63)\/(-2)). Suppose 2*b + 3 = j - z, -j = b - 3. Let o(c) = 5*c - 4. Determine j*o(s) - 2*l(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 719*m. Let n(f) = -37*f**2. What is j(n(q))?\nAnswer: -26603*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**5 - 5*s**4 + 3*s**3 - s**2 + 4*s + 3. Let g(u) = -u**5 - 4*u**4 + 2*u**3 + 3*u + 2. Let t(r) = -3*g(r) + 2*i(r). Let t(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/15407 and -131\/42.\nAnswer: 92442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minus -0.032726?\nAnswer: 9.032726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/4755635?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 739.4 + -739. Sort 1.2, 2, i in decreasing order.\nAnswer: 2, 1.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1568 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1800026 + 0.18. What is v rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -23. What is the remainder when z is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4112 is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b**3 - 73330*b**2 - 2811195?\nAnswer: 18*b**2 - 146660*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 20, -4 in descending order.\nAnswer: 22, 20, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 11 - w**3 - 5*w**3 + 5*w**3.\nAnswer: -w**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4847 to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*z - 118 + 8 + 110.\nAnswer: 411*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 779854, 1559710, 2339566, 3119422?\nAnswer: 3899278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58236, -117067, -175898, -234729, -293560?\nAnswer: -352391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3428*k**4 - 586*k**2?\nAnswer: 82272*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*m + 214, -m + 0*m = 2*n - 134. Suppose -2*i - n = -124. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 26\/3 + 8\/3*i**3 - 98\/3*i**2 - 80\/3*i = 0.\nAnswer: -1, 1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 1, v: 3, m: 2, p: 2, e: 3}. Give prob of sequence vpm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2428 and -10.\nAnswer: -24280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 9*i**2 + 7*i - 1. Let z = -26 - -47. Suppose -3*w = -3*u + z, -5*w = 3*u + 23 + 20. What is the units digit of x(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 185 + -184. What is the biggest value in f, 0.5, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 7*z**4\/6 + z**3\/6 - 3*z**2\/2 - 4*z. Let y(g) be the first derivative of n(g). Does 11 divide y(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -136.3 - -136. Let c = 21 - 27. Let m be ((-3)\/(-102))\/(c\/24). What is the second smallest value in j, -10, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppffffpfpf. What is prob of picking 4 p?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f - 3*f)*(35*f**2 - 33*f + 33*f).\nAnswer: -35*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.08218403 and 490.1.\nAnswer: 490.18218403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.294214*-5.\nAnswer: 1.47107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46315 - 11?\nAnswer: -46326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1835 (base 9) to base 8\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255408.\nAnswer: 2, 3, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(11) + 2 - sqrt(121)\/sqrt(704)))*2.\nAnswer: 7*sqrt(11)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.422229 nanometers to kilometers.\nAnswer: 0.000000000003422229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122512 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2)**(-2\/11)*(s**(-2\/5))**33*(s**(1\/3)\/s)**(-32)*s**(2\/3)*s*s*s**(-2\/11) assuming s is positive.\nAnswer: s**(564\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2355 (base 6) to base 14\nAnswer: 2d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**6\/150 + 1437*n**5\/50 + 2070709*n**4\/60 + 274946*n**3 + 823690*n**2 + 8824*n. Factor b(o).\nAnswer: (o + 2)**2*(o + 1435)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12*(-9)\/(-900))\/(2\/10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = 707*j - 702*j, -3*j = 5*f - 18. Calculate the greatest common factor of f and 6057.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490124 is divided by 3476.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1199, 2, -17, 23 in ascending order.\nAnswer: -17, 2, 23, 1199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 199*l + 15. Calculate u(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 82 + 7*y**2 - 79 - 18*y - 4*y**2 - 51 = 0. What is y?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*((-6)\/4 - -3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1645374 to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 18 + 8 = 0. Suppose 0 = b*u, -u + 5*u = 3*g - 33. Calculate the remainder when 140 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 1 + 1 + (-1 + 1 - 1)*(-5*o + 5*o - 9*o) as h + s*o and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 133, 193?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*v = 6, -3*i = 5*v - 5 - 32. Let w = -3 + i. Let g be (-102)\/((0 - 3) + w). Calculate the greatest common factor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 45*x**3 - 6*x**2 - 65*x + 105. What is the hundreds digit of c(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1081 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**3\/3 - 3*g**2 + 8*g + 1. Let f be n(7). Let t(j) = -j**3 + j**2 - j + 2. Let w be t(0). Solve w*h - 7*h = -f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -8704739?\nAnswer: -8704741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11011951?\nAnswer: 1613, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -80*w**5 + 2520*w**4 - 19205*w**3 - 10080*w**2 - 1280*w = 0.\nAnswer: -1\/4, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 2*t = 12, -5*j = -3*t + 4. Let d(a) be the third derivative of -a**4\/4 + a**3\/6 + a**2 - 6. Calculate d(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:10 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 11:07 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 + 44. Let q = f - -17. Let z = 71\/8 - 9. Which is the nearest to 1\/2? (a) 2 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**3 + 27*j**2 - 45*j - 149. Determine r(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*z + 86*z + 46*z to the form s*z + x and give s.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 4*d - 9. What is the units digit of u(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 7*t + g + 1, 2*g + 18 = 4*t. What are the prime factors of 5 - 3\/(6\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11622261\/231 + (-1)\/(55\/(-2))*5.\nAnswer: 3, 31, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 261*h**4 + 16*h**3 + 5*h**3 - 959*h**2 - 23*h**3 wrt h?\nAnswer: 6264*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 501*v\/2.\nAnswer: -v*(v - 501)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)\/(-3 - -2). Let g be r + 5 + (-1 - 1). Let j(b) = -g*b**2 + b**2 + 3*b**2. Let c(y) = 2*y**2. Give c(j(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 13) to base 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2 + 13. Suppose -5*l + 31 = y - 514, c*y - 545 = -5*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 2 = 4*v. Let u(y) = v*y - y - 3*y. Let i be (4\/(-2))\/(-2)*-3. Determine u(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c. Let o(z) = -23*z + 5. Let d(m) = -22*m + 3. Let p(a) = -6*d(a) + 4*o(a). Determine w(p(y)).\nAnswer: -120*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**5\/30 - 7*g**4\/12 - 6*g**3 + 4002*g**2. Factor t(q).\nAnswer: 2*(q - 9)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13406*c**3*x + 1782*c**3 - 53*c*x + 40*c + 95*x + 4 wrt c?\nAnswer: -80436*c*x + 10692*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**3 + 9*o**2 + 2*o - 48 = 0.\nAnswer: -8, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {a: 2, e: 2, c: 6, p: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 10:38 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.7 times -101988?\nAnswer: -989283.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199261 - 199261 - 18541*b**2.\nAnswer: -18541*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + 2*sqrt(187)*6 - sqrt(187))\/(-6*sqrt(44)\/sqrt(4))*1)**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -20. Let s be -6*(14\/a + 4\/(-2)). List the prime factors of ((-3)\/s)\/((-15)\/(-590)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven tenths of a micrometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17739421363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -7 - 5. Suppose -h = -2*h - b. Put h, 3, -3 in increasing order.\nAnswer: h, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*z**2 - 446*z + 8*z**2 - 2*z**4 + 2 + 438*z - z**3 to the form j*z**3 + l*z**4 + r + o*z + c*z**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + 118. Suppose -r = -2*u + 11. Suppose 0 = 7*q - 368 - u. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30) - sqrt(480))\/sqrt(6))**2 + (-2 + sqrt(605))**2 - (sqrt(55) + (sqrt(165)*-3)\/sqrt(3))\/sqrt(11)) + 4.\nAnswer: -42*sqrt(5) + 658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.98 - 1.98. Which is the closest to -5? (a) -4 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 344 and 946.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomouoogu. Give prob of sequence omo.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18462.3 - -19434. Let t = k - 1068. Round t to 0 decimal places.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*j + 39 = 0, -5*j + 65 = -5*y - 25. Let s be -10*(1 - (-22)\/(-10)). Let w = s + y. Sort 3, -4, w in descending order.\nAnswer: 3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**4\/8 + w**3\/2 + w**2\/2 - 1. Let u(g) be the second derivative of s(g). Suppose -35*f + 36 + 2 + 137 = 0. Determine u(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.5 or 0.85885?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11239?\nAnswer: 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((-1*sqrt(133) + sqrt(133) - sqrt(133)) + sqrt(133))\/sqrt(7) - sqrt(475)*-1).\nAnswer: -5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 9. Let y be d(-5). Let g = -4562\/15 - -304. Which is the third smallest value? (a) y (b) 4\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/2))**(1\/23)\/((g**(-5)*g)\/g)**(-2\/57) assuming g is positive.\nAnswer: g**(-289\/2622)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/24))**(-1\/3))**(4\/17) assuming a is positive.\nAnswer: a**(-1\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192367386?\nAnswer: 2, 3, 1187453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 6*g**2 - 4*g - 3. Let t be j(-7). Let o be 11\/(-4) + t\/(-32). Let u be 1*o*(1 - -19). Round u to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, f: 3}. Give prob of picking 2 f and 1 r.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 15 + (0 - -3)\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 3:26 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26161 or -26154?\nAnswer: -26154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2106 + 1031 - 377 - h + 6*h**3 - 7*h**3 - 2*h**2 + 255 to the form o*h + a*h**3 + c*h**2 + s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 3*c**2 + 13*c + 43. Give u(-6).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*(-49)\/4459)\/((-12)\/35).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -15075.01 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 12) to base 6\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3574197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.2, 3, -1, 31, 4, -5 in decreasing order.\nAnswer: 31, 4, 3, 2.2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 903475614 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 6:52 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 8*a. Let o(y) = y**3 + 6*y**2 + 5*y + 8. Let d be o(-5). Let n be v(d). Is n less than or equal to -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 60 = -3*f - 18, 6 = -f + 4*h. Let t be (-4 + 5)\/((-2)\/f). Do 11 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8332391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 81 (b) -0.3 (c) 1\/4 (d) 0 (e) 205\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*l + 187 = 0, 0*v - 134 = 3*v + l. Let q = -45 - v. Let d = -1 - 0. Which is greater: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 1)*(-2*g + 2*g - 2*g) + 2*g - 1 + 1 + 26 - 26 + 7*g as u + v*g and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26403809 and 7403?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/8 - 21141*a**2\/8.\nAnswer: 3*a**2*(a - 7047)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/34)\/((-794)\/(-1)). Let f = -33127807406075193\/67490 - -490855051219. Let x = b + f. Calculate the common denominator of 63\/8 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 0 + 0*h**3 + 0*h**2 + h + 1\/6*h**4. Let m(j) = 2*j + 3*j - 4*j. Give c(m(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-100 - 3 + 56)*(0*x**2 - x**2 - x - 1 + 0) to o*x**2 + z + y*x and give z.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 435480386?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7427 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 1*(-124)\/28?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 5*o = 17*n + 12, n = 2*o + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 9*o + 6.\nAnswer: 3*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 8 - 4*(-3)\/(-12). Suppose -j = -10*r + 23. What is the least common multiple of r and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7317 (base 14) in base 8?\nAnswer: 46551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 545928367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/160)\/(99\/132) + (-6)\/(-8).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42.99999946 - -43. What is m rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0 - (-1 - 10)) + (6 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*d + 3, 2*d + 6 = 2*x - 0*d. Let y(l) = -8*l - 2. Let i be y(x). Let o = i + 38. What is the remainder when o is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvevvveevvvveevvev. Give prob of sequence evv.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14025 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(1*2)*14\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 541 * -6195.\nAnswer: -3351495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 10 = 68 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**2 - 63*u**3 - 5*u**2 + 15*u**2 + 66*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -115 + -38145?\nAnswer: -3825a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 91*y**2 + 18.\nAnswer: 91*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 - 8*o + 2. Let n be w(4). Let t(h) = -n*h**3 - 6*h - 8*h**2 + 0*h**3 - 8*h**3 + 9*h**3 + 2. Calculate t(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6672 + 7782. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 5) + (-27 - -11)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -130 + 26 + 98 - (3 - (-89 - -5))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2448) - (2*sqrt(2448) - sqrt(2448)))*3 - ((0 + sqrt(2448) - sqrt(2448))*-3 + -6*-2*sqrt(2448)).\nAnswer: -144*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Suppose -5 = -a + o. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -357153, -357142, -357127, -357108, -357085, -357058, -357027?\nAnswer: -356992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewwgeweeeewewew. Give prob of picking 1 g and 2 w.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -80467, -80505, -80541, -80575?\n\"Answer: x**2 - 41*x - 80427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30104 is divided by 734.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuucucicguuu. Give prob of sequence cu.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*h, 2*h + 22 = 2*v + 3*h. Let o be (-2)\/(8\/v) + 5. Is o greater than 7\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5*(-15)\/3. Suppose 2*l - 218 = -5*k, 4*k + w*l - 180 = 6*l. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/6)\/((-2)\/(-9)). Let s be -4 - -2 - j\/1. What is the greatest common factor of s and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Suppose 4*a - n = 5. Suppose 0 = 3*y - 15 - 3. Solve -y*j + 2*j + 8 = 0, 0 = 5*o - a*j + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 73, -0.4, -5?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 8) to base 5\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x**1\/x)\/x)\/x))**(-3\/10)*(x*x**(1\/7))\/(x**(2\/21)*x*x))**(-2\/11) assuming x is positive.\nAnswer: x**(389\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 5)\/(1\/7). Let k(i) = i**3 - 6*i**2 - 7*i + 6. Let u be k(j). Suppose u = q - 8. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**7\/30 + y**5\/10 + y**2\/2 - 10*y. Let h(s) be the first derivative of j(s). Find the third derivative of h(i) wrt i.\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4\/28 + 13*y**3\/21 - 15*y**2\/2 + 171*y\/7 - 395. Factor x(v).\nAnswer: (v - 3)**2*(v + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 65 + 236*o + 56 + 14 - 242*o as m + g*o and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32555 or 32552?\nAnswer: 32552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -42*k**5\/5 - k**2 - 4*k - 1270. What is the second derivative of j(b) wrt b?\nAnswer: -504*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5125205 - 2?\nAnswer: -5125211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/208 - (-3 - (-474)\/132).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 7:10 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, l: 10}. What is prob of picking 2 l?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 507, 1041, 1575, 2109?\n\"Answer: 534*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 64 + 3*d**2 + 64.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c - 6*c - c - 8*c to d*c + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -d3?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 2*q**2 - 3*q - 842. Let g be a(0). Let f = -145 - g. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 915*h + 137*h - 1722*h.\nAnswer: -670*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 253 - 225. Suppose 5*o = 5*f - 65, -2*f - 6*o = -10*o - i. Solve -5*t + 2*t - f = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(162) + -1*sqrt(162) + sqrt(162))*-3 - (sqrt(162) + (sqrt(162)*-2)**2 + -2 + sqrt(162))) + 4)*1 + -2.\nAnswer: -645 - 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -51*u**4\/8 - 215*u**3\/6 - 1662*u**2. What is the derivative of d(a) wrt a?\nAnswer: -153","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -297\/5. Let z = 5 + -3. Suppose -1 = -z*y - 7. Put -4, v, y in decreasing order.\nAnswer: v, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/6485 and 11\/32730.\nAnswer: 42450810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 12. What is the common denominator of 396\/14*(-21)\/504*-42 and (-106)\/(-6)*q\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 194688\/7 + 2\/7*z**2 - 1248\/7*z.\nAnswer: 2*(z - 312)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 183, -5, -2\/9?\nAnswer: 183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10121 - 1599. Let c = o - 5913. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*q - 15 = 0, -2*w + 0*w - q = -6. Is 19 a factor of 6 + -6 - -39*w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -151 and -2.428.\nAnswer: 366.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -470 divided by -1?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 251309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*w + 5 + 7, 4*l - 3 = -3*w. Suppose 0 = -m + a + 3, m + a = -m + l. What is the units digit of 5 + 1*(m - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrr. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*k + 2*y, 5*k = -4*y + y + 7. Let n be (k - 0)*0\/(-2). Let t(i) = i**3 + i**2 - i - 18. Give t(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 2 - 1 + 4 - 2 + (-6 + 3 + 4)*(0 + 1 + 1) - 2 + 0 + 0)*(-30*y - 9*y - 165*y + 29*y - 221*y) to the form o + g*y and give g.\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n**2 - 19*n - 186. What are the prime factors of i(-15)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 3*q**2 - q**4 - 3*q**2 + 4*q**4 - 2*q**4 - q**4 + (-1 + 4 - 2)*(0*q + 2*q**4 + 0*q).\nAnswer: 2*q**4 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Let x(d) = d**2 - 7*d + 6. Let s be x(7). Suppose 3*z - s = -0. What is the second smallest value in z, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-2 + 5 - 2)*(90*o**2 + 695*o**2 + 35*o**2).\nAnswer: -1640*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3622 + 69\/(54\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5496063 divided by 2\nAnswer: 5496063\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 - -23319.566418.\nAnswer: 23428.566418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:24 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-870)\/(-46) - 19)\/(4\/(-3634)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/((-28)\/32) + -2. Suppose 129 = b*n - 411. Suppose 5*i + 32 - 2 = 2*m, 5*m - 2*i = 54. What is the greatest common divisor of m and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 14*r + 204. Let c(a) = 7*a + 105. Determine -5*c(l) + 3*j(l).\nAnswer: 7*l + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/28 - 2\/(-7). Let x be q + -336 + 3 + -3. Calculate the common denominator of 3726\/x - (-2)\/(-7) and -11\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 623*z - 33823. Determine f(-52).\nAnswer: 3981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from cecccttact?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-12 + 9)) + 41 + -63?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9)*3 + 4. Suppose -2*w - 4*l = w - 458, j*l + 744 = 5*w. Let d = 214 - w. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34, 114, 242, 418, 642, 914?\n\"Answer: 24*o**2 + 8*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -19*v**3 + v**2 - v - 1. Let z be i(-1). Suppose 7*p = 5*p + z. Find the third derivative of 291*g - 8*g**4 - 291*g + p*g**2 wrt g.\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**3*p - 371*h**3 - 34*h**2*p**2 - 54*h**2 + 586*p**2 - 2 wrt p.\nAnswer: -2*h**3 - 68*h**2*p + 1172*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + 3*s**4)*(-s + 6*s - 2*s) + (6*s - 3*s - 2*s)*(s**4 - s**4 - 2*s**4) - 2*s**5 + 2*s**5 - s**5.\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 10:44 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3. Suppose -4 = -4*h, -2*y - 4*h + 0*h + 14 = r. Suppose 2*z = y*s - 2*z - 257, -4 = -2*z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 438\nAnswer: 1\/438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -15*w**2 - 1080*w - 14. What is f(-72)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -183 - 12. What is the remainder when 28 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3333*v**3 + 6653*v**3 - 3321*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1201*n - n**3 + 1186*n + 3*n**3 + 42*n**2 as t*n + v + u*n**2 + p*n**3 and give u.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -93. Is (-20130)\/j*(-15)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.7 - 21.7. Let n = -5.7 - -6. Let u = z + n. Which is greater: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 67*r**2 + 538*r - 2695. Does 22 divide a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.49\nAnswer: -0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2611481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 14136*m**3 - m**2 + m - 1. Let z be w(1). Let c = 25485 - z. Suppose 11*n = n + c. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 4, 5, 3.\nAnswer: -3, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -568*k**3 - 2938*k wrt k?\nAnswer: -3408*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from cqqwwqqqccqcwccrc.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -20593065 < -20593065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.24 - 15. Let g = -24 - -24.04. Let k = u - g. Which is the third smallest value? (a) k (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/393 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.067 * 0.086141.\nAnswer: -0.005771447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from ssnns.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-9) - (-1144)\/(-36). Let u = b - -36. Suppose -u*l + 3*y + 8722 + 10287 = 0, 0 = -3*l - 5*y + 14235. What is l rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s**2 - 1. Let n be x(2). Let g = 2 - n. Let l = 4 + g. Is l 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 -26590684*u**4 + 672*u**2 + u - 5287 wrt u?\nAnswer: -638176416*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than or equal to 133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 27*b**2 - 52*b - 4. Determine m(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0595 to two dps.\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-339)\/(-18) + 1\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -71334, -142111, -212888?\n\"Answer: -70777*b - 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 1\/2, -1\/2, 1\/6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-3)*465\/10. What is the tens digit of 4\/(-6) + p\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 101. Let s(r) = 3*r + 200. Give -5*k(n) - 3*s(n).\nAnswer: n - 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19472414 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**4\/8 + 37*z**3\/12 - 155*z**2\/8 + 39*z + 2458. Find p such that j(p) = 0.\nAnswer: 3\/2, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269295 is divided by 1367?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -193\/24 - -359\/40. Find p such that -z*p**2 + 16\/3*p + 8\/5 = 0.\nAnswer: -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**10\/8400 + c**6\/15 + 5*c**5\/12 - 28*c**2. Let x(a) be the third derivative of w(a). What is the derivative of x(v) wrt v?\nAnswer: -72*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btt when three letters picked without replacement from {t: 5, b: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12094618553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1368670 is divided by 75.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = g + g. Which is the smallest value? (a) 0 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 4\/25, -6, 3\/7, 0, 1\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than -403\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, w: 1, t: 1, q: 1, i: 8, k: 2}. Give prob of sequence kitw.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3 - 92*r**2 - 3054*r - 8280 = 0.\nAnswer: -20, -3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17680028.0000136 + -17680035. Let o = 7 + q. Round o to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*b*x - a*c**3 - 10*a*c**2 + 5*b*c**3*x - 2*b*c**2 + 2*b*x - 2*c**3*x wrt c?\nAnswer: -6*a + 30*b*x - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*u**3 + 339677*u**2 + 2347610*u wrt u.\nAnswer: 438*u + 679354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*(4 - (-90)\/(-25)). Suppose 5*x - v*n + 0*n = 418, -5*x + 415 = -5*n. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29385*h - 5 + 5 + 7.\nAnswer: 29385*h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/9*(-6)\/(-4). Suppose -y*x + 7 = -2*t - 9, -2*x + 4*t = -16. Suppose 3*s - 3*r - 17 = 112, 5*s + x*r = 201. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -3204202431?\nAnswer: 3204202433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 103610?\nAnswer: 103605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/20)\/4*1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/255 and 74\/2115?\nAnswer: 35955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + p**2 - 4*p + 2 - 2*p - 3*p + 2*p to x*p + f + j*p**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/7 - 16003*s**4\/7 + 64028*s**3\/7.\nAnswer: -s**3*(s - 4)*(s + 16007)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 2*b - 2. Suppose 6 = -3*f + 6*f. Suppose 13 = -f*u + 3. Let t(z) = -z - 7. Let j be t(u). What is q(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -38. Let r(u) = -13446*u + 510948. Let v(k) = 13446*c(k) + r(k). Let l(s) = -s**2. Calculate v(l(y)).\nAnswer: 13446*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from {s: 5, u: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v**3 + 944601*v**2 + 12074388*v - 2729844 = 0 for v.\nAnswer: -13, 2\/9, 34998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18320990, -18320991, -18320992, -18320993?\n\"Answer: -t - 18320989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 200*j - 206*j. Is -437 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102141 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -5. Suppose -5*u + y = 6*y + 25, 3*u - 4*y - i = 0. Solve u = -2*o + c - 3*c - 12, 4*c = -3*o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4 - 2292*t**3 - 725626*t**2 - 38346480*t + 39074400 = 0.\nAnswer: -540, -67, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 620907397?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b = -29*b - 5*b + 200. What is the nearest to -3 in -1\/7, b, 0.24?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r - 43*r = 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + s + 1. Let j = 30 - 26. Let w(p) = 6*p**2 - 2*p - 5. Calculate j*v(k) + w(k).\nAnswer: 2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2980, 11905, 26776, 47593, 74356?\n\"Answer: 2973*w**2 + 6*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(110880\/99)*8\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-86 + 83)*(-2 - (-10)\/6). Which is greater: 1\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*q + 9*q. Let i(s) = s**2 + 1. Let v(u) = 3*u**2 + 4. What is q*i(o) + v(o)?\nAnswer: o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 34*n + 17. Let m be x(16). Let a be 2516\/(-255) + 2\/m. Find the common denominator of 6\/a - (4 - 3896\/360) and 73\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 29*g - 222. Determine v(-12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 846, 1686, 2472, 3192, 3834, 4386, 4836?\nAnswer: 5172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.23, -5, 1330099?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 110, 1, 3, 86, -2, -1 in ascending order.\nAnswer: -2, -1, 1, 3, 4, 86, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/2088)\/(99\/110*25\/12)\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjjwpwjjjjpjjpujujuu. Give prob of sequence wu.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5 (b) -6 (c) 46 (d) -12 (e) 0.01 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 + 205*r - 799. Let h be j(-72). Which is the second smallest value? (a) 2\/11 (b) h (c) 3\/28 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*w**3*y**2 - 1452873*w**3*y - w**2 - 23*w*y**4 - 569*y**3 wrt y.\nAnswer: -12*w**3 - 276*w*y**2 - 3414*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6549, 6548, 6547?\nAnswer: 6546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -140449 (base 10) to base 14\nAnswer: -39281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001202002211 (base 3) in base 13?\nAnswer: -16a6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(-2 + 4*w + 3*w - 6*w)*(10*w**2 + 343 - 670 + 26*w + 329).\nAnswer: 10*w**3 + 6*w**2 - 50*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**4\/4 + 5*n**3\/3 - 3*n**2\/2 + 7*n - 34. Calculate v(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 14*v. Let a be s(1). Let j(d) = -a + d + 5 + d. Let k be j(6). Let x(y) = 5*y - 1. Let u(h) = 6*h - 1. What is k*u(c) - 4*x(c)?\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 16 = -3*m + 5*m, 0 = -n - 5. Let p(h) = -4*h + 2. Give p(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1521468*a**3*c**3*v - 263*a**3*c**2 + 827*a**2*v - a*c**2*v - 2*c**2*v wrt c?\nAnswer: 9128808*a**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxemddnv. What is prob of sequence dx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 4:35 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -0.0208384.\nAnswer: -0.1250304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.5.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**5\/60 + 2*r**2. Let d(t) = 14*t + 17*t - 33*t. What is q(d(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*c - 78*c + 289*c - 60*c - 2*c**3 - 77*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 2, 0.1, 1082?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 5:40 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 945730 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 7*b + 6. Let d = 70 - 76. Let w be u(d). Solve 0 = -3*z - 6, w = c - 0*z - z - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/106449 and 77\/75.\nAnswer: 2661225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 80 - 147 + 66 - 8*w. Give o(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5904 - -6164. What is the greatest common divisor of a and 2535?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -246*g + 18742. What is t(76)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 136 = 2*s. Calculate the lowest common multiple of s and 94.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1873 + -5?\nAnswer: 186b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 5*o**2 - 6*o + 9. Let x be i(6). Solve 0 = -3*f + 6*f + x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246 (base 13) to base 8\nAnswer: -614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*q - 18 - 1 = 0, -5*q = 25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 11151 = 17*a + 11195, -3*a - 11 = i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5 - 5*d + 2*d**2 + 12*d + 0. Let g(x) = 2*x - 14. Let i be g(5). Give v(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-5) - 348\/(-70) and -35\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 31*d + 109. Calculate j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5583117, -5583116, -5583115, -5583114, -5583113, -5583112?\nAnswer: -5583111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, j: 1, b: 5}. What is prob of picking 2 k and 2 b?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -43768 bigger than -43771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 7*t + 3. Let c = -9 + 33. Suppose c = -f - 3*f. Determine y(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 288*l**2 + 84*l + 7. Is u(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/(-2)*(-2)\/3.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + m = 3*w + 9, 2*w - 1 = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4 + 12*s**3 + 18*s**2 + 8*s = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/21 and 1\/9765.\nAnswer: 9765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 2*f - 17, -34*t - 11 = -37*t - f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**2 - 4 + 0 + 4.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -651*c**2 + 1150*c - 2316. What is i(2)?\nAnswer: -2620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/682 > -590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Let z = -2954 + 20676\/7. What is the smallest value in x, -5, z, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -55. Suppose -9*t + 15 + 21 = v. Suppose 3*i - t*m - 29 = 0, i = 6*i + 3*m. What is the lowest common multiple of 5 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 14 + 6 + 0 - q - 41*q. What are the prime factors of a(-1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1602676, 3205354, 4808030, 6410704?\n\"Answer: -s**2 + 1602681*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 12 = -3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 0*p**5 + 2\/3*p**3 - p**4 - 2*p + 1\/6*p**6 + 11 + 3\/2*p**2. Find l such that u(l) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1\/6, 110, 2.\nAnswer: -1\/3, -1\/6, 2, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97766, 97786, 97826, 97892, 97990, 98126, 98306?\nAnswer: 98536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -476857 (base 14) in base 4?\nAnswer: -21103102231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.06379189 plus -0.2?\nAnswer: -2.26379189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*j. Suppose j = -4*t + 5 + 7. Are t and 18\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332218 is divided by 1068.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppaf. What is prob of sequence fpa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -61*f - 28*f - 262. Let p(g) = -g**2 - g. Let o(c) = 2*c - 2*c**2 - 5*c**2 - 3*c. What is f*p(a) + o(a)?\nAnswer: -4*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.545 - -4.545. What is the smallest value in -4, o, 3\/2, 2\/9, -2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 520.161 - 1.161. Let k = -518.999783 + l. Round k to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o + 5*o**5 + 2*o**3 - 6*o**5 + o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 = 11. What is the hundreds digit of (-4)\/8 - (-1282)\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 - 32144053*k\/4 - 16072027\/2.\nAnswer: (k - 32144054)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.7167mm?\nAnswer: 1716700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2. Let y(x) be the first derivative of -2*x**3\/3 + 7. Give a(y(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 23*l**2 - 26*l + 50. Let h be p(24). Let t(o) be the first derivative of 2\/7*o**h - 1 - 2\/7*o - 2\/21*o**3. Factor t(d).\nAnswer: -2*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -813*h - 3754. Let u(p) = -810*p - 3754. Let j(x) = -7*u(x) + 8*z(x). Find the first derivative of j(y) wrt y.\nAnswer: -834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 8*c**2 + 5*c - 9. Let i be v(-7). Let l be 1 + 1 - (-2 - (3 - i)). Let b(u) = -5*u**l - 2*u**3 + 3 - u**3 + 4*u**3 - u. What is b(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 2*5\/10. Let q be 7 + 4 + l\/2. Suppose 15*w = q*w. Solve w = -4*h + 1 - 5, 0 = 5*k + 3*h + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)*2 - sqrt(15))\/sqrt(5).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144000 and 1368000.\nAnswer: 2736000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o + 27 = -21*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 146242 (base 7) in base 5?\nAnswer: 1403342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -19. Let p be (-5)\/((-2 - -4) + c). Is p > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 72 in ascending order.\nAnswer: -4, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191 + -115. Let j = 7017.4 + -7093. Let l = j + v. Put 2\/3, 14, l in descending order.\nAnswer: 14, 2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 4\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.097 + 5.097. Put -2, m, 0.1 in descending order.\nAnswer: m, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1946 divided by -6228\nAnswer: -973\/3114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-14400)*12\/(-15)*(-45)\/(-6)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100100001 (base 2) to base 9.\nAnswer: -7370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuzuklua. Give prob of picking 1 z and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 - 2.6. Is g greater than or equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/550*-5 + (1288\/(-22))\/4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 363265\/11 + -33020. Calculate the common denominator of x and 501\/780 + 2\/8.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1794642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (15 - 15 - (-2 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 96\/120*6\/(-8). Put 1, 1\/7, 69, p in descending order.\nAnswer: 69, 1, 1\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-47)\/94 + 2\/12)*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**6\/120 - p**5\/60 + p**4\/24 + p**3\/6 + 3*p**2 + 2*p. Let o(z) be the first derivative of h(z). Is o(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110250000 to the nearest 1000000.\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -25147893\/8 >= -3143486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 144498 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122604 and 21636.\nAnswer: 367812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/(-8) + 90 + -97.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0232 * -10.3.\nAnswer: 0.23896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 5*g - 7. Let j be d(-6). Suppose 0*p = -p + 24. Let h = p + j. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*w + 230*w - 1610 = 0 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1346 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 12*j - 23. Calculate n(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**8\/v)*v*v)\/v*v*v**10)\/(v**2)**13)**(-23) assuming v is positive.\nAnswer: v**483","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5006500 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 137 - 103. Let z = -62 + x. What is the nearest to -2\/3 in 0.4, 0.17, z?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2530 - 2537. Let b = 1694\/9 + -188. What is the closest to -1\/4 in -0.5, h, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*a - 126 = -4*b, 0 = -4*b + 2*a + 168. Suppose 3*w = 5*o - b, 0 = 2*o + o - 9. Let i be (-2 - -17 - -3)*(-33)\/w. Is 67 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42768 = 11*l - 44. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 21*m - 3*h - 274 = 4*m + 7*m, -3*h - 22 = -m for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**4 + 140636*a**3 - 1235944284*a**2 - 3709661324*a + 4945464976 = 0.\nAnswer: -4, 1, 17581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxbxxbxbxxxxx.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - g = 4*g + 6, 0 = -4*o - 5*g + 8. Suppose v + 4*i = 15, 4*v + 3*i = 6*v + 3. Solve o*a = 5*s - v, a = -4*a - 4*s + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -511, -763, -1013, -1261, -1507, -1751?\nAnswer: -1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/43 in 0, -4\/5, -5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/90)\/(332\/60 + 12\/(-9)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -2\/7 (c) 3 (d) -0.1 (e) 2 (f) -38 (g) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 268142 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -73. Let f = -110 - -110. Suppose 4*g + 2*a - 3*a - 33 = f, 4*g - 29 = -3*a. Calculate the greatest common factor of g and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6442661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 642*v + 24444 = 654*v. What are the prime factors of v?\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z = -3*v + 42, 3*z = -5*v + 61. Let o = -47 + 28. Let f = o + z. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1070*o**2 - 37*o - 9. Give d(-1).\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 129 - 141.4. Let u = k + 12. Let g = -11\/14 + -1\/70. Which is the closest to g? (a) -1\/4 (b) u (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15845 and -43.\nAnswer: -681335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*d - 6, -3*j - 2*d + 11 = -4*j. Let q = j + 7. Suppose -q = -0*g - g. Which is bigger: 1\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-2527)*38*-2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725472 is divided by 60443.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6 = y, 0 = -3*y - z + 4*z. Suppose -5*s = -5*u + 45, 16 = y*u - 3*u - 4*s. Factor 0 - k**3 + 1\/3*k**u - 1\/3*k + k**2.\nAnswer: k*(k - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 6:17 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c + 11. Suppose t - 5*q = -14, 3*t - 4*q + 31 = -0. Does 21 divide o(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*d*i*x - 11736*d*x**2 - 120*i**2*x - 26*i*x**2 + 5*x**2 wrt i.\nAnswer: 12*d*x - 240*i*x - 26*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-118)\/(-2))\/(1567\/(-1567))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51968257063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 11 = 1. Solve -i + t - 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 - 94*r**2\/3 + 364*r\/3 - 120.\nAnswer: (r - 90)*(r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 21*o = -3*o + 202995. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12140 - 11013. List the prime factors of j.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*8\/84*4\/2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, c: 1, w: 1, e: 8, s: 9}. What is prob of sequence wsee?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 11:12 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teet when four letters picked without replacement from {e: 7, t: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 6*a**2 - 5. Let w be i(-6). Let c be w - -2 - 14\/(-2). Suppose -c*r = r - 35. Calculate the lowest common multiple of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00843 * -22277\nAnswer: 187.79511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -251*k + 29. Determine f(1).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32463, 32464, 32465, 32466, 32467, 32468?\n\"Answer: o + 32462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -555.323 + 555. Let p = 0.113 - q. Round p to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3284 + -1911. List the prime factors of m.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 s when three letters picked without replacement from rfvvrrsvvlrv.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10506.\nAnswer: 2, 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 95 = 120. Let q = 66 + k. Suppose g = 5*a + q, 3 = a + 4. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*0.5.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 645*j**2 - 55*j + 2. Let r be i(3). Suppose 2*f = 4*w - r, -2*f + 3*f = -2*w + 2815. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Let y(u) = u**3 - 5*u**2 - 7*u + 3. Let h be y(6). Let v be (2\/(-3))\/((-2)\/h). Sort -3, d, v in increasing order.\nAnswer: -3, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126568 and 520.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 121, 241, 381, 553, 769, 1041?\n\"Answer: 2*j**3 - 2*j**2 + 112*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 25. Suppose 5*t = 2*t + 24. Calculate the remainder when t is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21101221 (base 3) in base 9?\nAnswer: 7357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289007 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/3, 1, -0.07, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 29*r**2 - 170*r - 30. Let w be h(6). Let o(z) = 5*z**2 - 23*z. Let l(y) = 6*y**2 - 24*y. What is w*l(v) + 7*o(v)?\nAnswer: -v**2 - 17*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.38, -4, 1?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/253 - -262\/759. Let v = 0.1 + -0.2. Which is the nearest to -1? (a) z (b) v (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*n - 76. Suppose -4*y - n*d = -3*d - 652, 4*y = -4*d + 656. What is the remainder when y is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zaaczcccccaazuccca. What is prob of picking 2 a, 1 z, and 1 u?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23727 and 6534?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnme when four letters picked without replacement from nnmbnnnjnnne.\nAnswer: 7\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by 310\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 91907, 184505, 277103, 369701, 462299, 554897?\n\"Answer: 92598*w - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1395 and 4455.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-14))\/((-95)\/798*60\/75)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2)\/d*d*d**(-3\/7)*d*(d**(-2\/9))**(-11) assuming d is positive.\nAnswer: d**(64\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97\/4 - -24. Let r = 39 - -0.2. Let m = r + -39. Which is the nearest to t? (a) -0.4 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4, 5*i + 4902 = 5*n + 412. Suppose n = -5*s + 11*s. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*g**2*y - 49*g**2 - 148*y - 3 wrt g?\nAnswer: 6*g*y - 98*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -3. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -284 and -0.5.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25713343 - 1?\nAnswer: 25713342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -4) + (20 - -3) + 2 + -125?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7394311330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(5)*-1 - (sqrt(5) - (-2 + (sqrt(5) - (0 + sqrt(5))) + sqrt(5) + sqrt(5)))) + -1 + sqrt(5) + -2 + -5)*-3.\nAnswer: -3*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 + 17810*y\/7 - 35612\/7.\nAnswer: -2*(y - 8903)*(y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -139*q + 137*q + 2935 - 2937. Let i(j) = 2*j + 3*j**2 - 2*j**2 + 4*j. Let n be i(-5). Determine p(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -12) + 207\/45 + 9\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15945071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 71. What is the remainder when 18 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 388452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(10 + 59 - 14)*(5*u - 3*u + 0*u).\nAnswer: 110*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 180 - 165. Solve -4*t + z = -y, 2*z = 7*t - 10*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40384 or 40410?\nAnswer: 40384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**2\/2 - l - 1. Suppose -r + 0*r = 0. Suppose r = 2*d - 8, -4*b + 3*d + 4 = -0. What is j(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3)\/l)**(2\/5)*(l*l*l**1)**(2\/135))**20 assuming l is positive.\nAnswer: l**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -24. Suppose 1187 = 3*n - 5*o, -p*n + 5*o + 1965 = n. List the prime factors of n.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/(-4))\/(3\/(-12)). Suppose -3*q + 8 = -s. Suppose -q - 19 = -5*p. Solve 2*c - p*y = 29, 4*y + 11 = -2*c - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-351)\/3 - 2)\/(-1). Let y = k - 129. Let h(w) = w**2 + w + 5. Let z be h(y). Which is smaller: 96 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16624976 from -1554.\nAnswer: -16626530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:26 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3173060*i**2 - 334107*i - 1.\nAnswer: 6346120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 68*z**2 + 9*z - 5. Let q be y(-3). Let k = 1163\/2 - q. Find b such that 0 + 3\/2*b**2 - k*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.263 - -0.037. Put -1\/2, c, 2\/9 in descending order.\nAnswer: c, 2\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.02, -0.3, 5\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3104466222 to the nearest integer?\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 20646640?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1127\/1932*27\/14?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7785*z**3 + 135*z**2 - 135*z + 270. Let u(j) = 229*j**3 - 4*j**2 + 4*j - 8. Calculate -4*c(h) - 135*u(h).\nAnswer: 225*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(12) - (sqrt(12) + sqrt(12) + (sqrt(12) - sqrt(36)\/(1*sqrt(3) + sqrt(3)))) - sqrt(12))\/sqrt(4).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*z = -23 + 5, 5*u + 2*z = -51. Let r be (-177)\/5 - (-6)\/(-10). Is (-196)\/u + (-8)\/r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3535 is divided by 393?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180925 is divided by 5965.\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-90))\/((-24)\/108).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 14. Let r(s) = 3. Give -2*f(i) + 11*r(i).\nAnswer: 2*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e61503 + -1?\nAnswer: e61502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7*d + 5. Let f(s) = -s - 3 + 0*s + 4. Let q(w) = -5*f(w) + y(w). Let g(v) = 23 - 5*v**2 - 17 + 12*v**2 - 6. Determine g(q(j)).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**1)\/q*q)**(-1))**(3\/14)\/((q*q*q**1*q)**(-48)*(q**(-2)\/q)\/q*q*q**(1\/3)) assuming q is positive.\nAnswer: q**(4079\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14339.\nAnswer: 13, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**5 - j**3 + j**2. Let v be 3\/(-2)*16 + -1. Let q(i) = 20*i**5 + 10*i**4 + 20*i**3 - 25*i**2. Let d(m) = v*h(m) - q(m). Factor d(u).\nAnswer: 5*u**3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) + 2*sqrt(66)*4)*-2)\/((sqrt(6) - (sqrt(6) - (sqrt(900)\/sqrt(6) - sqrt(6))))*4) + 3)**2.\nAnswer: -27*sqrt(11)\/4 + 1467\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2960 and 444.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 13 - (7860\/246)\/2?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 5*x + 2*i + 10, i + 2475 = -30*x + 2296 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 7*d**2 - 7 - 2 + 4 to n*d**2 + z + u*d and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 4*o - 2240 = 0. Let c = o - -234. List the prime factors of c.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 999278.2 years in decades?\nAnswer: 99927.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**3*t**2 - 3*m**3 + 2869*m**2 - 6212*m*t**2 - 2*m wrt t?\nAnswer: 4*m**3*t - 12424*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40257 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z + 1250. Let s = z - 107. Suppose 3*j = 253 + s. What is the highest common factor of j and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000205624 to six decimal places.\nAnswer: -0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4 + 87819*v**3 + v**2 - 87819*v = 0. Calculate v.\nAnswer: -1, 0, 1, 87819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v**3 - 33*v**3 + 99*v**3 - 123 - 41*v**3.\nAnswer: -21*v**3 - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163.2 + 163.16. What is the third biggest value in -1, 0.48, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 39*z**2 - 615*z - 1725.\nAnswer: 3*(z - 23)*(z + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 420942*a - 15302*a**2 - 420942*a to f*a**2 + h*a + r and give f.\nAnswer: -15302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 14 + 1 = 0. Let i = 7 + 2. Let x = i - s. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -4. Let y = p + -6. Is -3 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7361229599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Let y(m) = 3*m - 2. Let v be y(3). Let w = v + -7. Solve 2*u - r = -w*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -211 + 211. Suppose -60*k + 55*k + 10 = u. Determine l, given that 0*l + 1\/5*l**5 + 0*l**k + 1\/5*l**3 + 2\/5*l**4 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 11. Give h(-15).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178876646.\nAnswer: 2, 13, 43, 193, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 11*h - 95. Let k be f(17). Solve -4*v - k = -3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**5 + 261688*u**4 - 14667072*u**3.\nAnswer: 4*u**3*(u - 56)*(u + 65478)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 26*g - 33*g + 27, 4*g + r + 80 - 89 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 43. Suppose 0 = n*k - 34*k + 455. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(2 - 1) + 27. Suppose 2*t + c = 27. Let l be (1 - (t + 3)) + 8\/4. Solve 4*g = l*n - 4*n - 12, -5*g = 25 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diidvbdiubui. Give prob of sequence bd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 h, and 1 r when four letters picked without replacement from {k: 4, f: 2, r: 7, x: 1, h: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -187 + 4*y + 75 + 3*y + 136. Calculate a(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-180)*6\/(-8) + 0 + -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720c (base 15) in base 9?\nAnswer: 36033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 3*f - f)*(-186*f - 84227 + 84227).\nAnswer: 186*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - d = 62, -206 = -5*u + 2*u - 2*d. Suppose 3*o = 5*l - 237 + 72, 5*o + u = 2*l. Let v = 35 - l. Solve -5*b + 4*p = -19, -v*p + 0 = -3*b + 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 15215?\nAnswer: 1520e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36\/7 + 264\/7*s - 39\/7*s**3 - 27*s**2 = 0 for s.\nAnswer: -6, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10210*a - 5325*a - 5107*a + 8216 = -8434 for a.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 18954.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*u + 6. Let c(h) = 2*h + 12. Let x be c(-6). Let y(z) = 3 + 3*z + x*z**2 + z**2 - 7*z. Give y(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 20*h**2 + 5*h - 251. Let u be o(-19). Let q = -10 + 26. Suppose 13*r + u = q*r. Solve r*m - 31 = 3*t, 5*m - 2*m - 15 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169 times 0.58\nAnswer: -98.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11270113 is divided by 173386.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 292 (b) 4 (c) -4 (d) 0.5 (e) -311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from svdsy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41, -68, -63, -8, 115, 324, 637?\n\"Answer: 3*b**3 - 2*b**2 - 42*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2 + 181422*j + 7616196 = 0.\nAnswer: -90669, -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*l = -72, -l + 2 + 1 = 0. What is the tens digit of (-410)\/(-3) - 14\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = k - 5*k + 10, 0 = k - c - 10. Suppose -k*d = -0*d. Suppose 6*l - 4*l - 30 = d. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {i: 1, u: 1, g: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 11. Let a = 3 + t. Let n(b) = b**3 + 5*b**2 - 4*b - 5. Is n(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 242*m - 46 - 19*m + 29*m wrt m.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51 - (-2 - (-5 - -2)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 16 = -4*w, 2*x - 5*w = 194 - 181. Solve 5*k - x*k + 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/4*(-2)\/(-6). Let b(z) = z**2 + 4*z - 116. Let t be b(9). Let n be (-295)\/(-177)*(t\/5 - -1). Solve -4*v - y*l + 18 = 0, 0*v - v + 7 = n*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 152? (a) -2\/7 (b) -0.2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0139 + 19.8861. Let x = -6.1 - f. Let p = -3 + -1. What is the second biggest value in p, 0.5, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 463 + -2308\/5. Calculate the common denominator of q and 38\/(-18) - (-2)\/(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**5\/9 - 14*c**4\/3 - 29*c**3\/3 - 44*c**2\/9 = 0?\nAnswer: -1, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(2*-1 - -1). Let q(d) = -4*d**3 + 2*d**2 + 2*d + 1. Let k be q(n). Let r = k + 148. What is the greatest common divisor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j. Let s(v) = 491*v**2 + 912*v - 24. Give s(q(m)).\nAnswer: 1964*m**2 - 1824*m - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17771\/11 - -1614. What is the common denominator of n and ((-12)\/(-192))\/((-705)\/9118)?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -702.1 + 702. What is the closest to s in -2\/17, -4, 2, -1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 3, i: 1, o: 1, d: 5, h: 4}. Give prob of picking 1 l and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000208699 rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -28. Let r be (46\/28)\/((-4)\/p). Let a = 29\/14 - r. What is the common denominator of 33\/4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 163*(0 + 1\/11) + (-63604)\/(-349822)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*y - 8*l, -5*y = 2*l + 31. Let z be 62\/(-14) + -1 - 0. Are y and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(110) - (2*sqrt(110) - sqrt(110)))*-5)\/((1*sqrt(90) + sqrt(90))\/sqrt(9)) + -1)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3595 and 7845009.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/8, -0.2, 290, 1, 2\/33?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18698823, -18698837, -18698861, -18698895?\n\"Answer: -5*a**2 + a - 18698819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103862 by 9442.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2502042498.\nAnswer: 2, 3, 101, 313, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 25*x - 111. Let s be i(17). Suppose s*g - 528 = 21*g. What is the lowest common multiple of g and 6?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of g**2\/2 + 9*g + 3. Let d be f(-5). Let c(y) = 5*y - 1. Let l(p) = -14*p + 3. Calculate d*l(s) + 11*c(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 7830*y**3 - 7820*y**3.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.36 + 0.14. Let x = 1.1 - c. What is the smallest value in x, -3\/7, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 4*i**3 + 0*i + i**3 + 9*i**3.\nAnswer: 14*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 104 = 3*l. Let u be -1*l\/8*4. What is the units digit of (u*(-1 + 0))\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from byhlby?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {j: 1, y: 1, m: 6, c: 1}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 176265.7 rounded to the nearest one hundred?\nAnswer: 176300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, a: 3}. Give prob of picking 1 w and 2 a.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/m**0))**27\/(m*m*m\/(m\/m**(2\/9)))**36*m**(-1\/5)\/m*m**(3\/5)*(m\/(m*m**(3\/7))*m)\/(m*m\/(m*m**7*m)) assuming m is positive.\nAnswer: m**(-3501\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.5 - -3. Let z = 33 + -30. Sort z, 0.2, u.\nAnswer: u, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*i + 39 - 2 + 78 = -157 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5673 and 11163?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3b813 (base 12) to base 16\nAnswer: 141cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) - 28284\/(-36). Suppose 2*g - w = -d, 2*d - 1045 = 2*g + 507. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*i + 194 - 46, -5*i - 442 = -3*p. Suppose -p = -3*u + 48. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (2 - 2))*6. Let h(i) = -2*i**3 - 11*i**2 - 27. Let o be h(j). Which is the closest to -0.2? (a) o (b) 4\/5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrwg when four letters picked without replacement from {w: 1, i: 1, r: 2, o: 1, f: 2, g: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -116, -484, -1098, -1958, -3064, -4416?\n\"Answer: -123*u**2 + u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2489194240 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3005*h**3 + 3*h**2 - 3*h**2.\nAnswer: 3005*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + -5 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 107461 = -3*o + 201386, 0 = -z + 5*o + 61719. List the prime factors of z.\nAnswer: 2, 3, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 378 + -376. Suppose s*z = 2, -o = 23*z - 19*z - 578. What are the prime factors of o?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/385280 and 45\/41452.\nAnswer: 92852480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvwfffvvfw. Give prob of picking 1 f and 3 v.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -11*y + 658. Let p = 118 - y. List the prime factors of p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + (-8784)\/(-1080))*-60?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2. Let f(b) = -120*b**2 + 20371*b. What is f(l(y))?\nAnswer: -480*y**4 - 40742*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/69 >= 1\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-212)\/10)\/(8\/(-3598)). Let q = j + -9544. Let x = 148 + -98. Find the common denominator of q and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -v - 11 + 2, 4*v = 2*a. Let j(f) be the first derivative of -1 + 1\/2*f**2 + 1\/3*f**3 - 2*f. Determine j(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -45, -30, 5, 66, 159, 290?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*f + 812521 - 406318 - 406203.\nAnswer: 39*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10110691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26882541 is divided by 90.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2635, 10387, 23261, 41251, 64351, 92555, 125857?\nAnswer: 164251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4053625\/322 - -341316\/23. Let d = -2257 + z. What is the common denominator of 97\/146 and d?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1577623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 4\/(-16) + (-58)\/(-8). What is the highest common divisor of y and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 0.8. Let f(h) = -h - 4. Let p be f(-8). Let l be p*(-4)\/((-16)\/3). What is the closest to t in -3, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y - 10 = -21*y. What is the third biggest value in y, -1\/6, 2\/35?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**2. Let n(v) be the third derivative of v**8\/2520 + 7*v**5\/30 + 21*v**2. Let s(y) be the third derivative of n(y). Calculate r(s(j)).\nAnswer: -384*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 12:41 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(-17*5\/(-2125))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(68)*4 + sqrt(68)*4*1)\/((sqrt(20) - (sqrt(180) - (-2*sqrt(180) - sqrt(180)))\/sqrt(9))\/(sqrt(5) + sqrt(45)*-4)).\nAnswer: -88*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35477206681 from 7.27.\nAnswer: -35477206673.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1308*h + 8749*h**2 - 648*h + 3567 - 660*h wrt h?\nAnswer: 17498*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 8\/5, 0?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -281422\/57 - -93820\/19. Factor -32\/3 + 0*y + b*y**2.\nAnswer: 2*(y - 4)*(y + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31116165 divided by -6223233\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -51*t + 3. Let c(m) = 76*m - 4. Give 7*b(p) + 5*c(p).\nAnswer: 23*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 56?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -74*s + 3. Let q(t) = -295*t + 13. What is -2*q(d) + 9*u(d)?\nAnswer: -76*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0744, -5, -902 in descending order.\nAnswer: -0.0744, -5, -902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71392 and 70?\nAnswer: 2498720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -424*f**2. Let h(m) = m + 101. Calculate q(h(o)).\nAnswer: -424*o**2 - 85648*o - 4325224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/1 + 679\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (19\/(-2))\/(220\/(-24) - -9). Let q be ((-1)\/(-2))\/(5\/(-610)). Let t = z + q. Which is smaller: t or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.1? (a) 4 (b) -1\/4 (c) 16.3 (d) 2 (e) -0.4 (f) 155\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26774426?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2 + 4) + 2. Is (-2)\/(-2)*31 + h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 z, and 1 n when four letters picked without replacement from {i: 2, n: 2, e: 6, z: 3, u: 2}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:15 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14290 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51927\/8 - 6482. What is the common denominator of (-27)\/2*(-2)\/(-4) and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 6075.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.4 + 12.1. Let j = 25.1 + h. What is the second biggest value in j, 0.3, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - 5*j + 4. Let v(i) = 3*i**2 + 4*i - 4. Let o(b) = -3*v(b) - 4*x(b). Let t be o(8). Let k = t + 7. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323323031210 - 32?\nAnswer: -323323031302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -220592, -220558, -220524, -220490?\n\"Answer: 34*c - 220626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -17 - (-1 + -13)) + 20 + -50.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c - 6 = -141 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -4 - (-4)\/(-1)) + 3. Suppose -4*g + 6417 = -3*g + 4*t, -b*t + 12839 = 2*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 593, 1000, 1407, 1814, 2221, 2628?\n\"Answer: 407*c + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = c + 4*l + 5, -4*l = 16. Let m = 8 - 7. Calculate the remainder when c is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/240*2\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (-13 + 26 - 4) - (8 + 0)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 5:57 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 76382.652 less than -1879.3?\nAnswer: -78261.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.9 - 11.9. Which is the nearest to -1? (a) 3 (b) 1\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*u = 28, -4*w = 3*u - 0*u - 36. Suppose w + 4 = -2*k. List the prime factors of (k\/15 + 0)\/((-1)\/153).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173.8833 centuries to months.\nAnswer: 208659.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 574 = -158. Let p(f) = 5*f - 11*f**2 - 3*f**2 - 13*f**2 - m + 0*f + 21*f**2 + f**3. Calculate p(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 5)*(-3*z**4 + 3*z**4 - z**4) + (0*z + 0*z + 2*z**3)*((-13*z + 8*z + 10*z)*(-1 + 1 + 2) + 212*z - 242*z - 94*z).\nAnswer: -230*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 3, -64\/9, -161.\nAnswer: -161, -64\/9, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) -2\/3 (b) -6 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -34*i - 5. Let u(r) = 6 - 3 + 1 + 4 - 7 + r. Calculate b(o) + 5*u(o).\nAnswer: -29*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + sqrt(637)*3)**2*2 - 6*-6*(sqrt(13) + -2).\nAnswer: 36*sqrt(13) + 20312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -88 + 85 + 0 + -1 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2 - w + 1 + 5 - 3 - 4. Let v(p) = 3. Calculate 2*j(k) - v(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -5*18\/25.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.963274 * -5\nAnswer: -4.81637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -16202 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 8. Suppose 3*u + 100 = 4*j + 117, -u + 14 = -3*j. Let r be j\/l + 11\/33. Solve r*y + 0 - 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 7*y**2 - 6*y + 2. Let v be i(6). Let c(l) = 9*l**2 - 3*l - l**3 + 2*l**2 - 8 - 3*l**v. What is the units digit of c(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h - 18237826 = 76*h - 18225908 for h.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13834 - -16?\nAnswer: -13818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**3 - 6*w**2 - 9*w + 7. Let z(u) = -5*u**3 + 7*u**2 + 15*u - 8. What is 6*i(o) + 5*z(o)?\nAnswer: 5*o**3 - o**2 + 21*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 44 = -56 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(2 + 190\/(-97))*8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78581.56 nanoseconds in milliseconds?\nAnswer: 0.07858156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/20 - 2*p**4\/3 + 13*p**3\/3 - 53*p**2\/2 + 11*p + 2. Let m be j(5). Factor m*k**2 + 19\/2*k - 5\/2.\nAnswer: (k + 5)*(4*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1*4)\/(-2))\/((-77418)\/2748339).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 + 7 = 0. Suppose 3 + a = 3*q. Suppose 0*t = t - q. Let r(j) = j + 2. What is r(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 0.2. Let k be 9\/(-6)*3\/9. What is the biggest value in -1, k, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 + 76*v**2 - 36*v**2 - 40*v**2 - 93 as z*v**3 + g*v**2 + f*v + h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 3*r**5 + 0*r**5 + (-1 + 1 - r)*(-2*r**4 + r**3 - r**3) + 162*r**3 + 96 - 164*r**3 + 3*r**5 + 33.\nAnswer: 6*r**5 - 2*r**3 + 129","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**4 - 6*o**3 + 4*o**2 - 2*o + 2. Let p be ((6 - 5) + 1\/(-2))*-4. Let w(u) = u**4 - u**2 + 1. Let m(i) = p*l(i) + 4*w(i). Factor m(k).\nAnswer: -4*k*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28022 - -28021.9980153. Round j to 5 dps.\nAnswer: -0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 1 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 59396753*m**2*u - 2784*m**2 + 59134 wrt u.\nAnswer: 59396753*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -69, 2, 4, -6\/5, 25.\nAnswer: -69, -2, -6\/5, 2, 4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 255 or 248?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9297 = -3*m, 0 = 2*m - 5*w - 0*w - 6198. List the prime factors of m.\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -8 - -3 - (1 + 6 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8303*i**4 + 6733?\nAnswer: -33212*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - r - 1. Let f(k) = 68. Let h(m) = b(m) + f(m). What are the prime factors of h(0)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1*-12)\/(-5 - (-13 + 7)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 8 - (-7 + 3 + 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -26, -1, -4, -0.4, -2\/65 in decreasing order.\nAnswer: -2\/65, -1\/4, -0.4, -1, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from {q: 3, i: 12}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**5\/130 - 33*u**4\/26 - 833*u**3\/13 - 2401*u**2\/13 - u - 7. Factor q(m).\nAnswer: -2*(m + 1)*(m + 49)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*(sqrt(153) - (sqrt(153) + 3*sqrt(153))))\/sqrt(9) + -1*(4 + sqrt(17) + 4))**2*5.\nAnswer: -660*sqrt(17) + 10465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4721228 to the power of 1\/2, to the nearest integer?\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**2 + 20457*m + 20460 = 0. What is m?\nAnswer: -1, 6820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-6 - (6 + -6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -81. Let r = 35 + -25. Calculate the highest common divisor of r and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + -10 - -11) + 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 1 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**3 - w + 4. Let b be f(-1). Let a(x) = x**2 + 4*x - 3. What are the prime factors of a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8688 and 2364?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(21)\/sqrt(63) + 0.\nAnswer: sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*l - 4. Calculate the common denominator of l - (-9)\/(-42)*19 and 114\/(-20) + 2*1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -1 (b) 22.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 3*n**2 - 27*n - 10. Let k be z(4). Let q(u) = 8*u**2 - u - 6. Let w(p) = 4*p + 11 - 2*p - p**2 - 14*p**2. What is k*w(r) - 11*q(r)?\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002211 rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 11*u**2 - u - 1. Let i be k(-1). Suppose -2*b = i - 51. Suppose -4*t + b = -0*t. Solve 3*q - t*q - 8 = o, 14 = -4*q - 3*o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1022)\/(-30) - 96\/(-48) - 4\/60. What is the greatest common factor of 3564 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 5, -2.\nAnswer: -4, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -728 - -730. What is the highest common divisor of q and 416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 281391960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 821059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14937964.\nAnswer: 2, 3734491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 10*f = -90. Suppose -5*r = -10 - f. Suppose 0*s + x - 1 = 3*s, s - 3*x + r = 0. Is s != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 10*m**2 - 29*m + 14. Calculate o(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6*n + 250. Suppose -3 = -5*d - 3*c, -d = -2*c + 3 - 1. Suppose -4*k + n - 26 = d. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1814*x - 5890 = -1833*x. Solve -5*l + x = 320 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -1906413?\nAnswer: 3812826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -14490*j - 6 - 6 + 14500*j + 4*j**2. Let o(b) = -b**2 - 3*b + 4. Give -7*o(u) - 2*x(u).\nAnswer: -u**2 + u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141 by 1900.\nAnswer: 141\/1900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*d = 20, 2*m - 4*m + d = -6. Let a be 9\/1 - (-8 + m). Suppose -a*h + 15*h = 80. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*158526.826\nAnswer: -79263.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + 2 + o**2 - 8 + (o**2 + 4*o**2 - 3*o**2)*(1 - 3 + 4) + 2*o**2 - 5*o**2 + 2*o**2 in the form u + t*o + j*o**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -95 and -1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowchuqouqq. What is prob of sequence quc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 265 = m + 3*j, 3*j - 420 = -3*m. What is the first derivative of 5*n**3 + m - 241*n**4 + 77*n**4 - 2*n**3 - 3*n**3 wrt n?\nAnswer: -656*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1729 and -13.8.\nAnswer: -1742.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5 + 4 - o + 2*o. Calculate i(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7225701*f**5 + 508*f**2 - 15*f - 14.\nAnswer: 433542060*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 1. Let f = -166.8 + 185. Let d = 18 - f. Which is the second smallest value? (a) d (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 959148*l + 32606408.\nAnswer: 4*(l + 34)*(l + 239753)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*z**2 + 27*z**2 + 26*z**4 - 1 + 1 + 2*z**4 + 2*z**4 + z**4 - 2*z**4 + (z + 5*z - 4*z)*(3*z**3 - 2*z**3 + 0*z**3).\nAnswer: 31*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 + x - x)*(-73 + 10 + 34 - 78).\nAnswer: 214*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b + 15 - 39 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 2*c + 65 + 28 + 9*c - 30*c**2 - 8*c. Let i be o(-30). Solve -a + a = i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/4 + (-1)\/(-4) - -2. Let p be 2 - t\/(-1) - (-23 + 6). Solve 0 = -3*z + 15, -2*f + 5*z - p = 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*j - 15, -4*j = -3*d - 0 - 15. Suppose 4*u = b + 560, 4*u + j*u = 2*b + 560. What is the greatest common factor of u and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c - 4*c - 2*c.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 = 7, -5*v - 211 = -4*w. What is the highest common divisor of 138 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 3*(-4)\/(-6). Let l(x) = x**2 + 65. Let m be l(h). Let v = 100 - m. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -59, 5, -0.5, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 - 50*v - 15*v**2 + 6*v**2 + 43*v to h + n*v + y*v**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 88*b - 15. What is the tens digit of y(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 8:43 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, w: 5, u: 3, t: 1, s: 4}. Give prob of sequence vsu.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.69 - -0.79. Let q = -2.961 - 0.139. Let w = q + u. Which is the second biggest value? (a) w (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u - 2. Determine m(-14).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199045 - 198134.01. Let l = 911 - p. What is the closest to l in 3\/4, -0.1, 1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {t: 1, r: 7, z: 2, y: 5, f: 3, k: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 8*n. Calculate the remainder when m(6) is divided by 44\/3 - (-2)\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*x - 9*x - x + 58*x**2 - 3*x**2 as o*x + b*x**2 + h and give b.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148952 - 74485 + 648*k - 74467.\nAnswer: 648*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*a**3 - 1050535 + 90*a**3 + 1050535.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 87.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -787a + 324?\nAnswer: -7556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140819 is divided by 23466?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 37*w - 8. Let o be q(18). Suppose -3*x = 4*u - 17, -5*u - 5*x + 5 = -o*u. Factor 3\/5*t**3 + 3\/5*t**u + 0*t + 0.\nAnswer: 3*t**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*z + 5*z. Suppose 4*y = g - 2 + 14, -5*g + 65 = 5*y. Suppose 0 = 4*o + 4*o - g. What is the remainder when z is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 4*v - m, 4*m - 5 = v - 32. Is (v\/3)\/((-2)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5205 - -25355?\nAnswer: 20150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(-69))\/(((-6)\/(-24))\/(18\/32))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7648 - -7658. What is the smallest value in -3, i, -145?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15963545?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 690950.37 rounded to the nearest one thousand?\nAnswer: 691000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aq when two letters picked without replacement from {a: 1, q: 1, p: 5, b: 2, u: 1, k: 7}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**2 - 3*f - 7. Let b be (3\/36*4)\/(1\/21). Let d(r) = 2*r**2 + r + 3. Determine b*d(c) + 3*q(c).\nAnswer: -c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + w**4 - w**4 + (-1 + 6 - 1)*(-88*w**4 - 398*w**3 + 398*w**3) - 2*w**4 - w**4 + 4*w**4.\nAnswer: -349*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 90871250 a multiple of 625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*v = -12189 - 6615 + 79304 for v.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 166 + 226a59?\nAnswer: 226bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**4\/6 + 19*l**3\/6 - 44*l**2 + 23*l. Differentiate i(o) with respect to o.\nAnswer: 4*o + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 964*q**4 + 1836 wrt q?\nAnswer: 3856*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*i + 28 = -247*i. Is 15474\/26 + i\/(-637)*-7 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + -cd?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1312770*a + 1312768*a - 7 - 9.\nAnswer: -2*a - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k + 4. Let c(n) = -n**3 + 7*n**2 - 12*n + 86. Let d be c(7). Sort d, -1, 5, k in descending order.\nAnswer: 5, k, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-38)*b))\/(b\/b**(5\/11)))\/(b**21*b**(4\/15)) assuming b is positive.\nAnswer: b**(2506\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -201 - -226. Suppose 6*o = x + 7*o - 110, 0 = 5*o - f. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 39. Calculate the remainder when 89 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*n - 39 + 39)*(-7*n + 0 + 0 + (5*n + 0*n - 3*n)*(11 + 19 - 3)) to the form a*n**2 + y + k*n and give a.\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -328220 or -328221?\nAnswer: -328221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02250017306221 take away 0.067?\nAnswer: -0.04449982693779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 59.966?\nAnswer: -35.9796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 105*p**2 + 1700*p + 6059. What is g(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - 4 - (1 - (-2 - -17))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + 12*k + 7. Let p be u(11). Let j = -101 - p. Solve 16 = 2*l - 2*c, -l + 0*c + 11 = -j*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 452432*w + 12793419664.\nAnswer: 4*(w - 56554)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 times 163?\nAnswer: 30481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7565 + -7563. Which is the fourth biggest value? (a) -6 (b) 0.5 (c) -1\/4 (d) k (e) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 657*v. Let u(d) = 41*d. Suppose 81*z = 83*z + 112*z + 228. Give z*r(m) + 33*u(m).\nAnswer: 39*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from xcgxcggc?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 128006 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -39, -103, -197, -321?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 201, -1, 10?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-1)\/c)\/c)\/c)\/c*c**13\/c*c**(6\/5)\/c*c**(2\/29))**(-41) assuming c is positive.\nAnswer: c**(-43214\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1721048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u. Let c be d(-4). Let k(v) = v - 5. Let n be 3 - (-2 - (3 - 1)). Let o be k(n). Solve -2*p + c = o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8918763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -553301.88003 + -10121?\nAnswer: -563422.88003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 42*b**2 + 629*b - 12. Calculate k(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3*b + b - 5*a, 5*b + 2*a = 150. Calculate the lowest common multiple of b and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(2\/33))**(-10\/7) assuming w is positive.\nAnswer: w**(-640\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -157*q**2 - 1409*q + 19. Calculate d(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4301 (base 6) to base 2.\nAnswer: -1111001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4, -5*x + 3*d + 2917 = -x. Suppose 727*w + 48 = x*w. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 272 + -294.2. Let t = x + 16.2. Which is the smallest value? (a) -0.02 (b) -2\/19 (c) t (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 5. Solve 3*y = x*y - 3, -y + 1 = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -419*g**3\/6 + 243*g**2\/2 - 154*g. Is d(-34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 14*n - 7. Is 3 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 10*c**2 - 11*c. Let f be j(11). Solve 4*p - p + 2*k - 4 = 0, f = 5*p - 2*k + 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 - 19*b + 7. Let q be g(6). Solve 2*w - w = 4*i - q, i = -2*w + 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 7:02 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1985, -4418, -7291, -10604?\nAnswer: -14357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 6*i - 6. Suppose -6 = -3*x, 4*q - i*x = -0*q + 394. Find l, given that -5*l**4 + q*l**5 + 7 - 10*l**4 - 5*l**4 - 164*l**3 + 64*l + 4*l**2 + 9 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(2\/21))*i)\/i*i*i*i)**(-30\/13)*(i**(-1\/10)\/i)\/i**(-4\/7))**(1\/26) assuming i is positive.\nAnswer: i**(-6581\/23660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1023\/106 or -10?\nAnswer: -1023\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (106\/(-12243)*-22)\/((-138)\/21).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 88.17604 decades?\nAnswer: 10581.1248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (79\/4 + 5)*2*-6. Let j = p - -308. Solve 0 = j*m - 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -8. Let l(y) = 5 - 5 - y**f - 2*y**2. Let o(i) be the third derivative of i**4\/24 + i**2. What is o(l(h))?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -41. Let t(s) = s + 1. Let q(i) = -i - 1. Let x(w) = -q(w) - 2*t(w). Let k(m) = -m - 1. Let y = -2 + -5. Calculate l*x(u) + y*k(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 11*b - 8. Let c be z(10). What is the second derivative of 3*l + 3*l - l**c - l - 4*l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 14*u**3 - u**2 - u. Calculate n(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 11. Let d be u(-11). Let y(z) be the second derivative of 0*z**2 + 1\/18*z**3 + d - 2*z - 5\/36*z**4 + 1\/15*z**5. Factor y(w).\nAnswer: w*(w - 1)*(4*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5 - 202*p**4 + 5200*p**3 - 5000*p**2 = 0. Calculate p.\nAnswer: 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -5. Suppose 0 = -2*b + m - 5, -2*b + h*m - 2*m = 15. Let o be (-1)\/(2 + (-1 - b)). Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/(3*(-1)\/(-6)). Suppose -5*r + 22 = -63. Is r*(2 + i)*1 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -36, -0.4 in descending order.\nAnswer: 4, -0.4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 - 2 = 0. Suppose -r + 0*r + 25 = 5*h, h - 53 = -f*r. Calculate the lowest common multiple of r and 2*(-1 + 4 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.2, 997302, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + 1 - 1) + (-32)\/(-8). Suppose -o*p + 560 + 106 = 0. Suppose p*v = 70*v - 16. Let z(h) = -h**3 - 5*h**2 - 3*h + 4. Determine z(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 0*l - 2*l**2 - 1\/10*l**5 + 1\/6*l**3 + 0 + 1\/120*l**6 + 5\/24*l**4. Let g = 2 + 3. What is t(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6643091?\nAnswer: 7, 13, 37, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:59 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 299 and -2.651.\nAnswer: -792.649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 729983 + 17926.631.\nAnswer: 747909.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o. Let j(h) = -29*h + 35. Determine y(j(n)).\nAnswer: -116*n + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 12, -2, -18, -36?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -0.5, 3, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2 - 12*j - 2. Let a(g) = 6*g**2 + 21*g + 5. Give -3*a(w) - 5*u(w).\nAnswer: 2*w**2 - 3*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/148 + -1091\/1628. Calculate the common denominator of 93\/(-10) + 1\/(-2) and x.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5362757 to the nearest integer?\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**5\/3 - 511*n**4\/3 + 7001*n**3\/3 - 21401*n**2\/3 + 4970*n = 0.\nAnswer: 0, 1, 3, 10, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 17. Which is the nearest to q? (a) -4 (b) 2\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + l + 459 = 3*l, 4*s = -4*l + 372. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2488211 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 497428 = -3*c, -994860 = -4*z + 62*c - 58*c. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -72844*i - 4. Let n(d) = 1. Let g(j) = 5*n(j) + p(j). Let y be g(1). Let h = 103843 + y. What is h rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 - -274. Let s be 6 + (3 + 1 + -4 - 1). Suppose 0 = s*t + 22 - v. What is the greatest common factor of 30 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 4 (c) 2\/3 (d) -4 (e) 17400\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 5. Let t(b) = 4*b + 11. Let v(w) = 5*j(w) - 2*t(w). Let n(c) = -10*c - 16. Determine -3*n(s) - 16*v(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1918.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*j**4 + 23*j**3 + 471.\nAnswer: 32*j**3 + 69*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-11) - 101310006\/33. What is g rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 7*p**2 + 10*p - 12. Let j be s(8). Suppose j = 7*a + 18. Let c = -2.9 + -0.1. What is the closest to 0 in -0.5, c, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260 (base 7) to base 4\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88264832 and 256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 17*z**2 - 17*z + 96. Calculate d(-19).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -15. What is the remainder when 12 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636 a factor of 16345150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 303, 2, -50 in increasing order.\nAnswer: -50, 2, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(76) + 1 - sqrt(76) - (1 + sqrt(76))*-6) - (5 + -3 + sqrt(76) + sqrt(76)*-1 + -3)**2.\nAnswer: 7 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59539785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -436, -873, -1310, -1747?\nAnswer: -2184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1113 + 1121?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -879 - -13193\/15. What is the closest to y in -0.1, -2\/9, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -41. Is -16 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 10*b + 44 = -9*b + o, 12*b + 3*o = -48 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyjyjy. Give prob of sequence yjy.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2 (b) -5 (c) 153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83\/3 + 1663\/60. Let g(v) be the second derivative of q*v**5 + 0 - v + 0*v**4 - 1\/6*v**3 + 0*v**2. Find the second derivative of g(b) wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 1, 138, 2\/15, -3, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.3837 take away -0.0317?\nAnswer: -74.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 184557696845.21+2\nAnswer: 184557696847.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 27 - 29, -3*x + 2*q + 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 697019.\nAnswer: 697017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -3, 1\/7, 2, -2105, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(14\/(-56)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c + 2*c**2 - c**2 - 5*c**2 + 0*c**2 to b*c + z*c**2 + s and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Put -1, s, -4, -5 in descending order.\nAnswer: s, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3 + 2*c**2 - 338*c - 18499.\nAnswer: -6*c**2 + 4*c - 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -125. Let m(h) = 13*h**2 + 9. Let r be m(-4). Suppose -5*n + r = -p. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -129.4 + 129. Let m = -0.3 - 1.7. Which is the nearest to m? (a) k (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7505116 divided by 1604.\nAnswer: -4679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5413329 to the nearest integer?\nAnswer: 2327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1715 and (26 + -27)\/((-2)\/(-2))*25\/(-5).\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -185*b**2 - 28*b + 78. Let d(i) = -93*i**2 - 13*i + 37. Give -13*d(w) + 6*q(w).\nAnswer: 99*w**2 + w - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -23*i - 207520. Is 3*(i\/(-18) + (-6)\/27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6348016 and 407.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(sqrt(21)\/(sqrt(7) - sqrt(28)) - (sqrt(432) - sqrt(27))\/sqrt(9)).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqvqvvqqvaqqvqfqaq. Give prob of sequence av.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 13535\/4, -12.6?\nAnswer: 13535\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14989 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (3 - (2 - 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 less than -1.9651021?\nAnswer: -28.9651021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 235.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165910 divided by 2.\nAnswer: -82955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -92.8312.\nAnswer: -92.9312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 13*u - 27. Let z be g(10). Let 16*d**5 - 4*d**5 + 28*d**4 + d**2 + 7*d**2 + 24*d**2 - 72*d**z = 0. What is d?\nAnswer: -4, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 + 5 = 0. Let v be -3 + 3 + 1 + f. Let k(g) = -g**3 - g - 1. What is the remainder when 3 is divided by k(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34797 - 6596. Let x = o - 17968. Let w = x - 184345\/18. Find the common denominator of w and 59\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 divided by 59979?\nAnswer: 343\/59979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1643 and 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 3, a: 2, o: 5, u: 6, j: 1}. Give prob of picking 1 n and 1 a.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-624)\/(-26) + 3\/(-6)*6 and 186?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12447, -114, 4 in descending order.\nAnswer: 12447, 4, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002164102 to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 - 143. Let k = s - -212. Which is the closest to k? (a) 6\/11 (b) -1\/2 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -501 in 0.5, 2, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from oooookkoko?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 - 38*f - 14. Let w(r) = -r**2 + 13*r + 5. Let g(v) = -6*h(v) - 17*w(v). Determine g(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1106 + -2287. Let t(s) = -2*s**3 - 25*s**2 - 23*s + 12. Let g be t(-16). Let b = a + g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 + 6. Let v(q) be the third derivative of q**6\/120 + q**5\/12 - q**4\/24 - 2*q**3 - 25*q**2 - 2*q + 7. Calculate 3*v(a) + 5*x(a).\nAnswer: 3*a**3 - 3*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 - -3.97. Let c(r) = -r**2 - 2*r - 1. Let m be c(-1). What is the closest to m in f, -0.2, 5\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/6280 and -61\/530?\nAnswer: 332840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*d - 33*d - 944 = -200 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 547 and 13659684.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63750 or -63751?\nAnswer: -63750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-30)\/80)\/((-6)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4184422 (base 10) in base 3?\nAnswer: 21212120221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**3 + 6*z**2 - 265*z + 4. Let w(a) = -7*a**3 + 17*a**2 - 796*a + 11. Determine 4*w(i) - 11*x(i).\nAnswer: -6*i**3 + 2*i**2 - 269*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.53 + 1.33. Which is the third biggest value? (a) g (b) 0.6 (c) 4 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + s)*(58 + 56 - 168).\nAnswer: -54*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 3*r**2 + 0*r**3 - 1\/8*r**4 + 0*r - 1\/60*r**5 + 0. What is the second derivative of v(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.246 + 0.268. Round d to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6423978 to the nearest integer?\nAnswer: 2535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -3, 5 in ascending order.\nAnswer: -3, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(288) - (sqrt(288) + 0)**2).\nAnswer: -284 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 110203321011 (base 4) to base 13\nAnswer: 11693b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, 4, -12, 0.\nAnswer: -16, -12, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175150926 divided by -6.\nAnswer: 29191821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:06 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 5 = 5*z, -5*z - 2 = -4*j - 25 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 0.3. Let v = 0.08 + 0.22. Let o = s - v. Which is the second biggest value? (a) -3 (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 34*m + 460. Calculate the remainder when f(31) is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-2))\/3*14622060\/90 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279409423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 0.3, 3, 2\/9, -4, -2.42?\nAnswer: -2.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -837279866 to the nearest one hundred thousand.\nAnswer: -837300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, 366, 419, 488, 573, 674?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 - 43. Let d(k) = 7*k - 4. Let n(u) = 1 - 141*u + 215*u - 75*u. Calculate z*d(s) + 5*n(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1154237720 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19521 and 1215?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + -1*sqrt(243))*6)\/(-3*sqrt(225) + sqrt(72)\/sqrt(128)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + 2.4. Let c = 2.9 - x. Let s = -3407 - -91991\/27. Is c > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**5\/60 - 8*q**2. Let w(z) = 0*z + 0*z - z**2. What is w(x(k))?\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 66\/(-18))*(-762)\/(-635).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 925 - 923. What is the nearest to u in -2\/11, -27, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**3\/6 - 7*m**2\/2 - 2*m. Let f be o(-3). Suppose -4*w = -2*i + 18, 5*i - 1 - 20 = 4*w. Put f, i, -1 in increasing order.\nAnswer: f, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14045 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 divided by -1?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -5, -1\/2, 4, 0.02 in decreasing order.\nAnswer: 4, 1.6, 0.02, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 12102 and 12102 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 12.6. Sort -3, 0.1, x in descending order.\nAnswer: 0.1, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7615.74 decades?\nAnswer: 76.1574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlwg when four letters picked without replacement from wglrm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340 divided by 68.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 11*j**2 - 7*j + 4. Let h(u) = 14*u**2 - 8*u + 3. Let g(f) = 4*h(f) - 3*s(f). Let l(k) = 6*k**2 - 3*k. Let x = -35 - -13. Give x*l(c) + 6*g(c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2b8686 (base 12) to base 13\nAnswer: -1cc0c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 0*g - 3*g**2 + (-2*g + g + 0*g)*(2*g + 0 + 0) - 4*g**2 - 3*g**2 - 2*g**2 + 0 + 2*g**2 + 0 + (0*g**2 + 0*g**2 + 2*g**2)*(2 - 3 + 3).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express t + 4*t**2 + 16*t**3 - 2*t**2 - 54*t**4 + 57*t**4 in the form n*t + w*t**4 + v*t**2 + k + x*t**3 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + u + 3070. Let b(f) = -21*f - 2. What is b(h(n))?\nAnswer: 42*n**2 - 21*n - 64472","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-2 + 1 + 1). Suppose 0*h + h + 5 = q, -2*g = -3*h - 25. What is the smallest value in 2\/3, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38957 - -327675. Suppose -4*z - 577468 = 4*j, z = -z + 2*j - t. Let p = z + 34363. What is p rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 45*w**2 + 55*w + 144. Let f be a(45). Let h be (9\/(-27))\/(3\/f). What is h rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r - 14*r + 4*r.\nAnswer: -35*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/15)\/((-7)\/2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u - 54. Let s be j(-7). Calculate the greatest common divisor of s and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -47.\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.006 and 1.2.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1521387*h**4 + 6*h**3 + 32*h**2 + 2*h + 42022.\nAnswer: -36513288*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-32)*v**(2\/19))\/(v**(-23)*v)**(-22) assuming v is positive.\nAnswer: v**(-9802\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2757.6619 rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = v - 3*g, 1135*v - 1133*v - 3*g = -36 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p + 28*p**3 - 10*p**2 + 8*p - 53*p**3 - 9 + 26*p**3. Determine v(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 16636687.2 hours?\nAnswer: 99027.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43431 (base 8) to base 7.\nAnswer: 104031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1942 + 3b?\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 13. Let n be l(-11). Let z be n\/(-3) + 8\/(-12). Sort z, 2, -5 in ascending order.\nAnswer: -5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(1584) - (2 + sqrt(1584))) + -1 - (sqrt(1584) - ((sqrt(1584) + -2*sqrt(1584) - sqrt(1584)) + 3)**2)) + -2)*-4.\nAnswer: -152160 + 3744*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1186 - 1211 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(242)*2 + sqrt(12)\/sqrt(24))**2.\nAnswer: 2209\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119 + -67. Calculate the remainder when a is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*r - 9 = -23, 0 = 2*c - r + 6. Is c > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14805860519\/6200 + -2388042. Calculate the common denominator of z and 9\/310.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 616*f**3 - 20*f**2 - 20*f - 20. Let z(s) = 88*s**3 - 3*s**2 - 3*s - 3. Determine -3*u(o) + 20*z(o).\nAnswer: -88*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) 3 (b) 0.047 (c) 5\/3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -3 + 1)\/(2\/8). Suppose -y = q - 259, i*q - 9*y + 11*y - 1030 = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148024667?\nAnswer: 7, 47, 233, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from wwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -250*j + 1142*j - 39892 + 21001 - 28385 for j.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k - 9. Calculate g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 6\/1175?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.041 + -2.959. Let v = 0.01 + -2.01. Let a = v + 2.1. What is the third smallest value in 2\/5, a, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 10*y + 14. Let g be i(9). Suppose g*l - 15 = -3*s + 2, 4*l + 5*s = 11. What is the remainder when 44 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11499266?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 1*-6 + 454 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616402987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 4*sqrt(77))*-2 + sqrt(77) - (sqrt(77) + -1*1*sqrt(77) - sqrt(77)))\/((4*(1*sqrt(176) + sqrt(176)) - sqrt(176))*5).\nAnswer: -2*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 78*d**3 - 172*d**2 + 7*d - 3. Determine k(4).\nAnswer: 2265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 278\/(-2) + -50 + 49. Let o = t - -278. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 3*q**2 + 0*q**2)*(44*q**2 + 19*q**2 - 20*q**2) + (-2 + 2*q**2 + 2)*(2*q + 2*q**2 - 2*q) - q**4 - q**4 + 0*q**4.\nAnswer: 88*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(5184) + sqrt(5184))\/(sqrt(36)*-1 + sqrt(4) - sqrt(4)))\/(5*(sqrt(363) + (sqrt(363) - (sqrt(363)*-1 + sqrt(363)))) - 2*sqrt(363)*4).\nAnswer: 2*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8a18 + 2b6?\nAnswer: -8762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 61*i - 156. Let w be b(64). Calculate the highest common factor of 64 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 12 = -2*y. Let c be ((-28)\/(-2))\/(2\/3*y). Let g be 9\/21 - (-1)\/c*3. Solve 7 = -2*x + 3*i - 4, 3*i - 9 = g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 343 - 1028\/3. Which is the closest to d? (a) 30 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-52)*21\/462*-11?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 1. Suppose 2*l = -4*d - 198, -2*d + 6*l - 5*l = 89. Let b = 80 + d. What is the remainder when b is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - q**2 + q**2 + 17*q**2 + 1664*q - 1664*q + (5*q - 6*q + 3*q)*(-5*q - 2*q + 4*q).\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 10 + 512*d - 4 - 515*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*o + 17*o + 2*o**2 + (1 - o - 1)*(0*o - 3*o + o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**3\/3 - 7*f**2\/2 - 5*f - 1. What is s(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*n - 24. Suppose -4*s - 3*l - 2*l - n = 0, -2*l = -3*s + 14. Let k(u) = -3*u - 3. Let p be k(-2). Solve -s*y - y = p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 - 3*s**3 - 20*s**3.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1739\/(-666))\/(95\/15) and 17\/475.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-140)\/1792 - 2001\/48.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 133 in 14.621, -4, 0.01?\nAnswer: 14.621","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from {t: 1, h: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1337 in -1\/242, -5, 0.1, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*n + 62*n - 1 + 10*n)*(936 - 936 + 102*n) to h*n**2 + o + i*n and give i.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**6\/405 + 7*s**5\/60 - 4*s**4\/27 + 46*s**3\/3 + 157. Let v(y) be the third derivative of g(y). Let v(o) = 0. Calculate o.\nAnswer: -16, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5*h**2 + 1 + (h + 2*h - 4*h)*(2*h + h - h) + (0 + 2 + 0)*(2*h**2 - 3*h**2 + 2*h**2) to x*h**2 + u + z*h and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (514 - 547) + (-1 - -24) - (-2 + 1) - 11.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, x: 4, q: 7, b: 4, k: 1, h: 1}. What is prob of picking 1 k and 1 v?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -3\/4, 1, -5\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-10.1\nAnswer: -1.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - h**2 + 54*h - 209. What is t(5)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 >= -38672996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -9)*(-4)\/(-8). Let r be (1 + (-7)\/o)*-145. Suppose 2*x = r - 4. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/9 - 22\/(-99).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5855\/69 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 26*f**2 - 32*f - 56.\nAnswer: 2*(f - 2)*(f + 1)*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24451 (base 11) in base 4?\nAnswer: 20211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6457 + -6456. Let q(s) = -7*s + 7. Calculate q(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 2. Suppose -l*s + 50 = s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(1 + -4) - 0. Suppose -n + g = 2*n - 98, 2*n - 2*g - 68 = i. What is the derivative of 36 + 3*w**4 - n + w**4 wrt w?\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 7 + 0 = t, -4 = 4*i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 6. Let m(d) = -7*d**2 + 49. Let f = 14 - 8. Let u(i) = f*m(i) - 49*q(i). Let v(n) = -3*n**2. What is u(v(b))?\nAnswer: 63*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -20\/7 (b) 1 (c) -5.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 514, 559, 630, 727, 850, 999?\n\"Answer: 13*x**2 + 6*x + 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 656086821 + -12.5.\nAnswer: 656086808.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p**2 + 94*p + 60 = 0 for p.\nAnswer: -15, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62 and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -17*z + 70. What is x(-8)?\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j + 4*j)*((2*j - 5 + 5)*(-2*j + j + 3*j) + j**2 - j**2 + j**2 + j**2 + j**2 - 6*j**2).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*s**3*y**3 + 4660*s**3 - 155*s**2*y - 2*y wrt y?\nAnswer: -27*s**3*y**2 - 155*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010111111 + -1100?\nAnswer: 10010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2181.68 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -16. Let l = -4 - d. Let t = l + 25. 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: Sort 9330, -1, 125 in descending order.\nAnswer: 9330, 125, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 10 = 2*l + 5, -4*l + 5*t - 27 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 16*s**2 + 3*s - 41. Determine u(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3175 and 12192?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1672 divided by 88?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2331*p**2 - 2331*p**2 - 101*p**3)*(-4 + 4 - p**2) - p**5 - 2 + 3*p**5 + p**5.\nAnswer: 104*p**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16560 and 6210.\nAnswer: 49680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*p - 181*p - 15 = -r, 5*p + 6 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2. Let p(i) = 14*i**2 - 5*i - 10. Let g(b) = -5*d(b) - p(b). Calculate g(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-21) + (-19)\/(-7). Let h be 13\/3 + 2\/g. Suppose 0 = 4*n - 2*m - 8, -32*m - 3 = -5*n - 33*m. Solve 2*p + n = t, 0*t - 2 = -h*p - 2*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20011100011 - -1001?\nAnswer: -20011022010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -3*k**3\/8 - 21*k**2\/4 + 333*k\/8 - 135\/2 = 0.\nAnswer: -20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 30. What is the smallest common multiple of 8 and (n + -1 + -2)*6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -47\/10*f**5 + 0*f**2 + 0 + 13*f - 79\/12*f**4 + 0*f**3. Find the third derivative of l(t) wrt t.\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -11, -8455, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2785 is divided by 553.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Let c(l) = -24*l - 71 + 141 - 69. Determine v(c(i)).\nAnswer: 48*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y + 5*d + 355, -1775 = -5*y - 5*d. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f + 10. Let s(z) = -z + 264. Let l(x) = -s(x) - 6*w(x). What is l(17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2099333690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2 = -30. Suppose -y = -h - 2. Factor 5*u**5 + 5*u**4 - 8*u**3 + h*u**5 + 4*u - u**4 - 7*u**5 + 4 - 8*u**2.\nAnswer: 4*(u - 1)**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u**5\/2 - 71*u**4\/2 + 95*u**3\/2 + 1555*u**2\/2 - 674*u - 112 = 0. What is u?\nAnswer: -8, -7, -1\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**5\/60 - 3*t**2. Let f be (-9)\/6*(-16)\/12. Let y(u) = -3 + 6 - f*u**2 - 3. Determine d(y(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13734 and 57879?\nAnswer: 810306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -326*m**2 + 10*m - 2. Let r be d(-5). Let j be (5 + 1)\/(-3) - r. What is j rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*f - 37. Let m(p) = -p + 5. Calculate the lowest common multiple of f and m(0).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -264 - 0?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 426145 - 10?\nAnswer: 426135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 15*j**3 + 10*j**2 - 475*j - 2027. Calculate r(-4).\nAnswer: -927","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -80 (b) -0.17 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (396\/1386)\/(-5*1\/(-7)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.76699 to 2 decimal places.\nAnswer: 4.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 174650*n**2. Let v(m) = -5*m. Give v(w(z)).\nAnswer: -873250*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0*80901\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 130\/(-20)*(0 - 8\/4). Solve 119 = z*u + 15 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652 - 344 - 384 - 17*y**3.\nAnswer: -17*y**3 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -290, -5\/3, -3, 102\/19.\nAnswer: -290, -3, -5\/3, 102\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from klollllkflfllok?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*p - 14890 = -12790 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 195424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3874643 and 3683?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 1 - 1)*(-j - j + j) + 34*j**2 + 47*j**2 - 15*j**2 - 2*j**2 + 2*j**2 - 2*j**2.\nAnswer: 66*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -29.0000034. Round s to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3829268 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8.4 (b) 1\/6 (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpq when three letters picked without replacement from {p: 2, w: 1, e: 2, q: 1, c: 2, g: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 divided by 475.\nAnswer: 99\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 + 110231102?\nAnswer: 110230202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 10*d**2 + 2*d + 29. Let b be h(-10). Let q(r) = -27 + b*r**2 + 26 + r + 7*r. What is the units digit of q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13fe2 (base 16) to base 3.\nAnswer: 11011022222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1248450 and 43050.\nAnswer: 1248450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6250734596?\nAnswer: 2, 1562683649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1702547, -2, 2 in decreasing order.\nAnswer: 2, -2, -4, -1702547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y + 7. Let r(j) = -4*j - 6. Let o(v) = 7*r(v) + 6*x(v). Let l(z) be the first derivative of -87*z**2\/2 + 67. Give l(o(f)).\nAnswer: -174*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 13536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -0.2, -22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798048 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -431031 at most as big as -431050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.001 + -0.001. Which is the third smallest value? (a) -4 (b) j (c) 0 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(456)\/((sqrt(144)*-1)\/sqrt(12)))\/((sqrt(36)\/sqrt(3)*-1)\/sqrt(6)).\nAnswer: -5 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2)*-5 - (sqrt(18) + 1)) + sqrt(242) + -1 + 3.\nAnswer: 1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 9 - 2 - 66*y + 127*y - 47*y + y**3 to v*y + m + o*y**2 + b*y**3 and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/4 and 25\/337808.\nAnswer: 337808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368*b - 434634 = 2657302. Does 55 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**5 + 105*q**4 - 837*q**3 + 1863*q**2 - 1134*q = 0.\nAnswer: -42, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 n when four letters picked without replacement from mllmnmmmldl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5 - 609*n**4 + 23343*n**3 - 161139*n**2 + 401130*n - 334800 = 0. Calculate n.\nAnswer: 2, 3, 40, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blhbbktutlbub. Give prob of sequence bhlb.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -108998*f + 20. Let w be q(-10). Round w to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.6519 minutes in milliseconds?\nAnswer: 8559114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + -122. Let c = t - -63. Suppose w - 2 + 1 = 0, -16153 = -c*u + 3*w. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + o - 2*o + 295, -5*o + 25 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4 + g - 3*g + 7*g**2 + 4*g. Let c(a) = -15*a**2 - 4*a - 9. Let s = -200 - -213. Give s*z(o) + 6*c(o).\nAnswer: o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5)\/z)\/z**(-2\/9))**(-1\/49) assuming z is positive.\nAnswer: z**(52\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24400344, 48800687, 73201026, 97601361, 122001692, 146402019, 170802342?\nAnswer: 195202661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-28)*(-8)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12427, 1250, -9927, -21104?\n\"Answer: -11177*h + 23604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3813929?\nAnswer: 7, 23, 23689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 + -6.7. Which is the nearest to -2\/5? (a) 2\/9 (b) 3\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3)*j**5)\/((j*j**(-1\/10))\/j**7) assuming j is positive.\nAnswer: j**(323\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 775225849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((2 - ((-10)\/(-2) + 2)) + 6)*10979.\nAnswer: 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 5, h: 14}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2836*o - 317677. Calculate p(-112).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 22 - 68 = 3*r, 3*r + 5*y + 80 = 0. Let p = 53 + r. Let s be ((-117)\/27)\/((-2)\/p). What is the highest common factor of s and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.4 to 0 dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**12\/y**(-1) assuming y is positive.\nAnswer: y**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*s + 0*s**2 + 3*s**2 + 10*s**2.\nAnswer: 13*s**2 - 280*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -294284.3 rounded to the nearest 1000?\nAnswer: -294000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 11. Let p(l) be the first derivative of 1\/3*l + 2\/15*l**a - 1\/3*l**3 - 1\/12*l**4 + 1 + 1\/6*l**2. Factor p(x).\nAnswer: (x - 1)**2*(x + 1)*(2*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**3 + 3*q + 3. Let j = 12 + -15. Let w(x) = x**3 + x + 1. Give j*w(t) + s(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12892*v**5 + 9318*v wrt v.\nAnswer: -257840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19314.03 days in milliseconds?\nAnswer: 1668732192000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**4\/78 - 10*z**3\/3 - 675*z**2\/13 - 1720*z. Factor t(r).\nAnswer: 2*(r - 135)*(r + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 8*w**2 + 3. Let b be i(-8). Let v(u) = 0 + 4*u**2 + u**3 + b - 5*u**2 + 0 - 3*u. Let c be v(2). Solve -2*o = 7 + c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2 + 1636*k - 30723 = 0. What is k?\nAnswer: 19, 1617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1315310, -2630667, -3946022, -5261375, -6576726, -7892075?\nAnswer: -9207422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51, -70, -125, -234, -415, -686, -1065, -1570?\n\"Answer: -3*h**3 + 2*h - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6917510767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/(-10))\/(1\/((-4)\/(-14)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 5226201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -9 - -8 - (-17 - (-6 - -14)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + y - y)*(2 - 1 - 5) - 2*y + 10 + 0 - 7 to the form t + o*y and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/14526 and 11\/3054.\nAnswer: 7393734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 5*u - 19. Let x be i(8). Suppose 5*c - 340 = -x. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6375 and 500.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -52*y + 1551. What is j(30)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -39 + (70 - 41) - 26?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24081 + 24106.9946. Let a = -11 + 37. Let g = a - j. Round g to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51480709\/473 - 108839. Let f = g + 36\/43. Which is the closest to -0.1? (a) -2\/3 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/((-4230)\/27))\/(((-36)\/20)\/1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7182*l + 4836*l - 3782*l - 881252 for l.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27768*y - 3 + 3 + 27734*y - 2*y**3.\nAnswer: -2*y**3 - 34*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1969092022 to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 4424919732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 4*l + 2381 + 2407 = 0, y + l = 687. What is the greatest common divisor of 1040 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 4:21 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -31818 times 20.683\nAnswer: -658091.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 36*k**3 + 81*k**2 + 42*k.\nAnswer: -3*k*(k - 14)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 52 = 16. Solve 4*b - d = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 756 divide 1312096684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1280297 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2 - 3565284*x + 1059270833388 = 0. Calculate x.\nAnswer: 594214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/((-1)\/(-9)). Let b = 5.3 - -0.7. Let n = -5.5 + b. What is the nearest to 0 in 2\/5, q, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-357) + (-10)\/35\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 y when three letters picked without replacement from ddypdpppdddpppppppp?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2039829?\nAnswer: 3, 11, 61813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 214 or 213?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352\/(-2496)*140\/(-455)*(-7)\/(-2)?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/2, -3, 0, 0.4, -1\/25.\nAnswer: -3, -1\/2, -0.4, -1\/25, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 45. Let g be s(0). Let h = g + -15. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*a = 91*a + 617526. Does 58 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 4, -0.09, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/127296 and -167\/21216?\nAnswer: 127296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) 4 (c) -557 (d) -1.8 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -10. Suppose -48*d + 25 = -43*d + 5*s, -d = -13*s - 5. What is the nearest to 0.1 in y, -3, 0.07, d?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.094 - 56.994. Let c = -53.39 - u. Round c to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**3 + 3*w**2 + 3*w - 38. Let m(u) = 18*u**3 - 8*u**2 - 8*u + 113. Let x(k) = -3*m(k) - 8*t(k). What is the first derivative of x(o) wrt o?\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 + 1022\/15. Suppose 6*j = -488 - 1150. Let c = -821\/3 - j. What is the closest to -2 in 4, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1278, -1335, -1378, -1401, -1398, -1363, -1290?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95016466 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*q - 5*q = -32*q + 378 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 18 + 162 - 2 + 4 + 0 + (4 - 1 - 2)*(-1 + 3 - 3) + 3 - 3 + 2)*(2*o + 0 + 0).\nAnswer: 282*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22903578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21 times -34\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*y + 4. Let o be (4\/y)\/((-4)\/(-6)). Sort o, 1, -4.\nAnswer: -4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 45183.\nAnswer: 316281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 2. Suppose 11 = -5*g - 14. Let w = -7 - g. Determine r(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -72. What is the units digit of 2\/(-6) - (-1652)\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1.3, -1980, -101?\nAnswer: -1980","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 61.2. Let q be (1\/(-6))\/(1\/4). Which is the third smallest value? (a) r (b) q (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -971*n - 256*n - 644*n + 22452 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 10:39 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-59)\/(-4) - (-18)\/72. Let q be (-16)\/40 + -2*(-18)\/w. Let x be (-3)\/(15\/q)*3640\/(-91). What is the highest common factor of 28 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k*k**(-6)*k)\/k)*k**(-5\/3)*k**(5\/4)*k**(-1)*k*((k\/k**(-2\/7))**(-18\/11))**(25\/3) assuming k is positive.\nAnswer: k**(-11041\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 2:26 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -63\/2 (b) 0.4 (c) -1\/4 (d) 392 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267287?\nAnswer: 137, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, e: 3, u: 6, q: 2}. What is prob of sequence qaqe?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -4 - (43 + -41 - -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 216 + -216.1. Which is the closest to -3? (a) w (b) -2\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s + 3 + 5 - 8 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93586 is divided by 13369.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5146470 is divided by 835.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1380*w**6 - 89*w**2 + 8*w wrt w.\nAnswer: -165600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -6*c - 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-18) - 5\/135*-6. Factor -1\/4 + 1\/2*r**3 + x*r**2 - 1\/2*r + 1\/4*r**4.\nAnswer: (r - 1)*(r + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*c - 208*c + l - 7375 = 0, -3*c - 5*l + 11073 = 0. Is c a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from aaavvvvaaw.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1963382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -255, -455, -535, -495, -335, -55, 345?\n\"Answer: 60*f**2 - 380*f + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 68340.48ml?\nAnswer: 68.34048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120855010.\nAnswer: 2, 5, 19, 59, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -261 + 3?\nAnswer: -25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 9 + 16 - 41 + 16.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 19 - h**2 + h + 17 + 1. Is 5 a factor of n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5139981 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.89 - 118.89. Let r = t + 116.00035. What is r rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 l when three letters picked without replacement from {l: 3, m: 2, h: 12}?\nAnswer: 99\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**5 + 24*m**3*w**3 + 4*m**2*w**3 + 7*m*w + 20*w**3 + 1 wrt m?\nAnswer: 20*m**3 + 144*m*w**3 + 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2518, -5, -2\/11, -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(468) + -2)*3 + 5)**2.\nAnswer: -1404*sqrt(13) + 38077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/12*(-21)\/(-7). Suppose 3*d - 2 = -2*o + 3, -m*o + d + 21 = 0. Which is the nearest to o? (a) -4\/3 (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + j. Let a(x) = -x. Determine 7*a(w) + 3*g(w).\nAnswer: 3*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(539) - (sqrt(539)*-2 - sqrt(539))) + 4)**2.\nAnswer: -43200 - 1120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24056 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: Put 2, -6, 31 in descending order.\nAnswer: 31, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164322694?\nAnswer: 2, 43, 1910729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-15)*40\/6. Let x(u) = -3*u + 5. Calculate the lowest common multiple of x(-5) and (-2 + -4)\/((-6)\/p).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(14)\/sqrt(2)) - (sqrt(704) + -1) - (0 + ((sqrt(539) + 5)*4)**2).\nAnswer: -9023 - 1127*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**2\/2 + 50772. Suppose 0 = 4*t - 4 - 40. Let s(o) = -t*o - 6*o + 4*o. Give r(s(d)).\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*w + 7. Let d be 3 - (1 + w) - 2. Let l = 14 + d. Solve 0*g - l = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 135 = -3*s - 33, h = 52*s - 51*s - 38 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5309 is divided by 4830?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 29*g + 7722 = 0. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*2\/(-2))\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -126449003013?\nAnswer: 126449003013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*v + 2, 0 = 3*v - 6 - 9. Suppose 7*s - n = m*s + 8, 2*s - 20 = n. Solve -4*y + s = -4*k, -2*k + 3*y = 5 + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (524\/(-96))\/(2 + (-27)\/12) and 137\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66*-65\nAnswer: -4290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 1, 4*n = -0*d + 5*d + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - -23. What are the prime factors of d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3607 - 5153. Is -1\/4 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**3\/3 - 3*r**2\/2 - 3*r + 1. Suppose 12 = -3*i - 2*j, -5 = -5*i - 3*j - 24. Is z(i) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30363 + -30363.27924. What is a rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8896, 9184, 9472, 9760, 10048?\n\"Answer: 288*c + 8608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -278*x**3 - 9*x**2 - 5*x - 6. Let c be a(-6). Let w = c + 31252. Round w to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26372.\nAnswer: 2, 19, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a - 8. Calculate j(8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/88 - (-1151019)\/187 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p = -16*p - 10*p + 574 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26\/11 (b) 61.8 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1634615\/94 - 17389. What is the common denominator of 34\/141 and n?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -294?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*o + 616 = 103, -3*b + 4*o + 366 = 0. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -80*x - 361. Let b be p(-5). Solve -34*n = -b*n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 760 = 762 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, -21, -66, -129, -210, -309, -426?\n\"Answer: -9*g**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8656 - 23396 = -7*n - 7307. What is the thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 836*d**2 - 62151*d\/2 + 9145 = 0.\nAnswer: 62\/209, 295\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.2 rounded to 0 decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -30. Calculate the smallest common multiple of 2 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*r = -r + 52, 3*t = -2*r + 34. Let n = t + -8. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1862812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14936806 divided by -4.\nAnswer: -7468403\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 - 8\/(-6). Suppose b - 2*b = d*n - 12, n - 5*b = -5. Let m(s) = -7 + s + 0*s + n + 1. Determine m(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132 + 129. What is the nearest to -1 in -0.1, 3\/8, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**5 + 85*s**4\/2 + 160*s**3\/3 - 85*s**2 - 165*s - 349. Factor f(j).\nAnswer: 5*(j - 1)*(j + 1)**2*(j + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/2041 + 206137\/4082. What is the common denominator of d and -1\/482?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -452 + -15420521?\nAnswer: -15421413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 181, 179, 177, 175?\n\"Answer: -2*n + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(121) - (sqrt(121) + (sqrt(121)*3 - sqrt(121))) - sqrt(121))*-4)\/(sqrt(264)\/(3*sqrt(6))).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 218\/11 + (24 - 44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1447994 - 10386951 = -182*y + 33*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 3:19 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3861154777 to the nearest integer?\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 8:18 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4\/7, 4, -0.4, 0.011983?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -409, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c + 45*c = -2*a + 124, 0 = 5*a + 2*c - 310. Solve -a*p + 88*p = 130 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/119 in 1\/10, -0.251, 721?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/2)\/2)\/(24\/16)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, -8, 3, -3 in descending order.\nAnswer: 75, 3, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28.60177 - 28.6. What is a rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3533 a factor of 802446757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 302 + -293. Which is the second biggest value? (a) -2 (b) 1\/7 (c) x (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 0)*2.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 23 = 3*g, -6*g + 27 = -g + 3*s. Suppose 4*t - 216 = v + 656, -t = 5*v - 239. Suppose 3*c + t = 3*f, g*c = 3*c. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 73698\/5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81731131501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-57)\/(-5))*12\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*d - 5*d. Let r = -2 + d. What is the second smallest value in 0.4, -5, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1894813211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 37*h + 9. Let a be (-295)\/15 + (-5)\/15. What is the units digit of m(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.5, 0.5, -4\/7, 0.09 in increasing order.\nAnswer: -4\/7, -0.5, -0.2, 0.09, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h**2 - 1323741*h + 794250 = 0 for h.\nAnswer: -88250, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, 238, -2, -4, -3.\nAnswer: -4, -3, -2, 5, 17, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 1, b: 1}. Give prob of picking 1 t and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011100010 (base 2) to base 5.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and (-3)\/(-5) + 321\/15?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232120 (base 4) to base 14.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - d**2 + d + 1. Let y be a(-1). Let t = 9 - y. Let s(c) = 2*c - 3. Calculate the lowest common multiple of t and s(7).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459099.\nAnswer: 3, 29, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, g: 7, j: 3, r: 2}. Give prob of sequence tttr.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7704, 11055, 14406?\nAnswer: 17757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 354690671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i + 5. Let s be l(16). Suppose -s*a - 8 = -86*a. Let q = 6 + -1. Solve -2 = q*w + a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*r - 72*r + 151*r to the form y*r + z and give y.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**3 + 86138829*i**2 + 43069414*i = 0.\nAnswer: -43069414, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88 + 88. Solve -l + f*l = -5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/(f**(-4\/5)*f*f*f)*f\/(f\/(f\/f**16)*f) assuming f is positive.\nAnswer: f**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000305 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 354 and 52923?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -36. What is the remainder when 5\/b + (-117)\/(-4) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5 - 16*b**4 - b**3 + 16*b**2 = 0.\nAnswer: -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 + 14*k**2 - 46*k - 680. What are the prime factors of v(-11)?\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/85*3\/24*2\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -50*r + 52*r. Is 20 a factor of (-36)\/(-15) - 2 - 1024\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227 (base 9) to base 14.\nAnswer: d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6931)\/(-2262) - (2\/1 - -2) and -35\/416.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/900*-18)\/(1*(-2)\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = -263*w + 4*c + 586, w - 4*c = -2*w - 42 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 259*s - 1020. Calculate i(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1148 and 656?\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 314 + -314. Sort -0.1, 1, u in increasing order.\nAnswer: -0.1, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*h**4 - 2*h**3 + 669*h**2 + 3*h - 1349662.\nAnswer: -24*h**3 - 6*h**2 + 1338*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z**3 + 7*z. Suppose 2*y + 1 = 3*d, -2*d + 0 - 2 = -2*y. Suppose -8 + 0 = y*p. Let h(s) = -4*s**3 + 2*s. Determine p*f(c) + 7*h(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, k: 7}. Give prob of picking 1 w and 3 k.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -203*k**3 - 7*k**2 + 259*k - 7. Let y(d) = -68*d**3 - 2*d**2 + 86*d - 2. Calculate 2*o(t) - 7*y(t).\nAnswer: 70*t**3 - 84*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*k**3 - 6*k**4 + 17*k**3)*(1 + 0 - 2) + 3*k**4 + 0*k**4 - k**4.\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**(-27)\/(p*(p*p**(1\/4)*p*p)\/p*p**(-1\/5)))\/((p\/p**4)\/(p\/(p*p*p**(-4)\/p*p))*(p**(1\/2))**(-1\/4)) assuming p is positive.\nAnswer: p**(123\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 340\/483 - 14\/23. Let r = 185\/6 + -63\/2. Let j = 0.282 - -25.718. Put r, j, i in decreasing order.\nAnswer: j, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 141? (a) 2\/15 (b) -0.1 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (11 - 0 - 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(674 - 674 + 96*q + (-2 + 2 + 2*q)*(-2 - 3 + 3) + 0*q + 3*q - 5*q - q - q + 0*q) to the form r + j*q and give j.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 10*d + 6. Let a be k(12). Let g = a - -56. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3310 - 31000031?\nAnswer: -31010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, 5, -53, -5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -508*v + 1 + 184*v + 1 + (v - 4*v + 2*v)*(2 + 2 - 6).\nAnswer: -322*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267293034.\nAnswer: 2, 7, 2083, 43457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -16.8. Which is the smallest value? (a) 5 (b) g (c) 2\/15 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 19*z + 20. Let v be s(-18). What is the smallest value in 1, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7980909.5 rounded to the nearest one hundred thousand?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*p - 2*p + 20, -3*p = -2*u + 10. Suppose 3*r + 81 = 6*r. Suppose 5*n = -2*c + r, 3*c - 12 + 0 = 2*n. Solve -c*f + f + 5 = p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78*(-58)\/3016*(-63)\/(-45)?\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -940 = 3*x - 7*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*h - 873*h + 108 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 26. Let r(a) = -4*a**2 + a**2 + 9*a**2 - 5*a**f. What is r(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/27, 2454, 18, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 0*y**2 + 10*y - 3\/20*y**5 + 0*y**4 + 0 + 1\/6*y**3. Find the second derivative of m(g) wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 416128.1 and 104740942?\nAnswer: 104324813.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 + 0*w**2 + 16*w - 16*w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20273.12 and 18036701.\nAnswer: 18056974.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1230120 (base 4) to base 13\nAnswer: -3207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125286 is divided by 925.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j)\/j)**(-2\/19)*(j**0)**(-16\/7) assuming j is positive.\nAnswer: j**(4\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - 53. Let o = -37 + u. Solve -o = z, z = -4*n - 2*z - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 6:38 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.42536 to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -79949876063 and -0.5.\nAnswer: -79949876063.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(17) + -2)**2 + -3.\nAnswer: -4*sqrt(17) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*3\/(4 - -2). Let p = -1\/291 - -325\/9894. Which is greater: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 2051329653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23005060 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*y - 2*b, -2*b - 4 = 4. Let k(h) = 2*h**2 + h - 4. Calculate the remainder when k(2) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**4 - 4*d**4 + 5*d**4 + (3 - d**3 - 3)*(-2*d - 2*d + 3*d) + 214339*d**3 + 976*d**4 - 214339*d**3 to h*d + c*d**2 + x*d**4 + q + w*d**3 and give x.\nAnswer: 978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/27)\/(((-4)\/30)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*a - 53*a - 7 = 5*f, -a + f - 5 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, u: 8}. What is prob of picking 2 u and 2 a?\nAnswer: 28\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 240\/(-135))\/((2583\/54)\/(-41)). Solve 36 - x*q**2 - 10*q = 0 for q.\nAnswer: -18, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48248220 divided by -114\nAnswer: -423230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 1437082595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8716 + 8857. Calculate the remainder when 1414 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -326 or -632?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.675531075 to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/46266 and 19\/100243.\nAnswer: 601458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69656?\nAnswer: 2, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1702772663 to the power of 1\/2, to the nearest integer?\nAnswer: 41265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 271 - 207. Is s a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9)*-1*12. Let y = 28 - o. Does 20 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqirpp. Give prob of sequence qpi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140468 and 16.\nAnswer: 561872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -25*169.2\nAnswer: -4230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 13. Let m be 336\/(-20) - 4 - (-1)\/(-5). Let n = 5 + m. Let f be q(n). Solve 0 = 5*a + 3*o + 35, -2*o - o - 3 = -f*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -551, -2012, -4141, -6686, -9395, -12016?\n\"Answer: 42*n**3 - 586*n**2 + 3*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 4 (c) 24 (d) 80\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -338998789 smaller than -338998791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 1645?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6)*-1 - 15200\/(-24). Suppose 0 = -8*r - 66 + u. What is the remainder when r is divided by 35 + (-4)\/(-1) + -2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h - 1. Let v(p) = -p**2 + 1. Let g be ((-2)\/(-1))\/(-2*(8 - 7)). Let f(n) = g*v(n) + 2*o(n). Give f(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 30 + 95 = 0. Let n be 1\/(-3) - (-9)\/((-135)\/l). What is the tens digit of 109 - n*(-1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 12:54 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 115 = -x, -3*x + 51 = d - 14. Let v(t) = t + 3. Let k be v(-4). Let l be (k\/1)\/((-1)\/14). Calculate the highest common factor of l and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-10)\/6) + -1. Let a(j) = j + 3. Let r be a(o). Let g be 2*1\/(-2) - -1. Which is smaller: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) -2\/5 (b) 6\/13 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7782 divided by 56.\nAnswer: 3891\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 105207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4, 5, 10, 19?\n\"Answer: 2*o**2 - 5*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5915183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(112)*1.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224 - -228. Solve -5*l - 31 = -3*u, d*u + 0 = -l + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 4:40 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 - 1 + 8*w + 2*w**4 - 3 + 5 - 2 as g*w**2 + d*w**4 + m*w**3 + t*w + a and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/35)\/(1\/(-14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = k - f - 4, 0 = -3*k + 205*f - 214*f - 177 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2\/m**(-1\/15))**(-10) assuming m is positive.\nAnswer: m**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0292599 to 3 decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isff when four letters picked without replacement from {i: 2, e: 1, z: 3, s: 1, f: 3}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-14))\/(106\/2332)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 731 divided by -192?\nAnswer: -731\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*g**3 + 60*g**3 + g**2 - 37*g**3.\nAnswer: 93*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5*i - 4, 5*c - 5*i = c - 84. Let y be (c\/10)\/((-6)\/15). Suppose 4*z - 4 = y. Let r(d) = -d. Let g(w) = -3*w. What is z*g(k) - 5*r(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 340, 565, 668, 655, 532, 305?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(417\/104 + -4). Find the third derivative of -27*b - 83*b + b**2 - 45*b - v*b**5 + 7*b + 19*b wrt b.\nAnswer: -6240*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 35. Does 17 divide (-1 + 636\/9)\/(h\/21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133000 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*v + 3. Suppose 3*r - 2 + 11 = -3*j, 4*j - 3*r = 23. Solve 0*f - v = j*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = -94 + 4. Let g be (-1)\/1*(c + (-72)\/8). Solve -9 = -z - 4*l, 3*z - 9 = -6*l + g*l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407*x + 406*x + 12490 = 0. Suppose z - j = 16118 - 3616, z + 3*j = x. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1009 * 2688.\nAnswer: 2712192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 32*f**5\/9 + 880*f**4\/9 + 2566*f**3\/3 + 24350*f**2\/9 + 17500*f\/9 = 0?\nAnswer: -14, -25\/4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -1829 - 6541. List the prime factors of o.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/24342 and -77\/365130.\nAnswer: 365130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -26 (b) -1114 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21252 divided by 1932?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 7*q - 4*n - 20 = 0, -4*q = 2*n + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 167 and 1.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1)\/(-3 + 2) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/15 - 68*t\/15 - 128\/15.\nAnswer: -2*(t + 2)*(t + 32)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21552.1599972 + -21554.65. Let n = x + 2.49. What is n rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3952585\/54 + 73194. What is the common denominator of z and -97\/90?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.28 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3357622?\nAnswer: 2, 449, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3324649 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523*o + 24 = -511*o. Suppose 2*l - 54 = -l. Let y be (-8)\/l*6\/(-4). Which is the nearest to -1? (a) 4 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*a**3*c*h**3 - 3*a**3*c*h - 3*a**3*h - 2*a*c*h**2 + 10*a*h**3 + 50*h wrt h.\nAnswer: -234*a**3*c*h - 4*a*c + 60*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26159 is divided by 2378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*o + 7 = -5*z, 0 = 4*z + o - 13. Suppose -r = 5*b - 15, -3*r - b = -z*b - 77. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1970*x**2 + 5317 - 5317 to the form l + o*x + k*x**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdn when three letters picked without replacement from sssddsgsdndsdssss?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)*(o\/(o\/(o**(1\/13)*o)))\/o)\/(o\/((o**(2\/33)*o)\/o)*o)**(3\/17) assuming o is positive.\nAnswer: o**(1141\/4862)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 25*o + 140. Let n(k) = -12*k - 69. Let r(v) = -6*f(v) - 13*n(v). Let t be r(-9). Solve 2*s + 37 = -t*s + 4*u, -27 = 3*s - 4*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40423.095 - -40795. Let l = -374 + y. Let z = 0.125 + l. What is z rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 3. Suppose -2*u = -o + 7 - 22, -o - 5 = 0. Let r(v) = -425*v**3 + u*v**2 + 212*v**3 + 6*v + 212*v**3 - 9. Calculate r(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -7. Let a be (-14)\/6 + 9\/c. Let g(q) = -2*q - 2. Let t be g(a). Solve 2*f - 3*p - 17 = -2*f, 5*f + t*p = 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2372 + -2371. What is the closest to 6 in d, -1, 0.1, -18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/(-4)*(-6 + 4). Let s be 4*(-5)\/(h\/(-9)). Let b be (-12)\/8*s\/3. Is -5 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 35. Let d be g(16). Suppose -d*f + 2*i = -13 - 4, 5*i = -3*f + 10. Solve 2*y + 5*z = 10, -f*z - 6 = 4*y - 26 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48528*d**6 - 9*d**2 + 2758 wrt d.\nAnswer: -5823360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.8394 weeks in hours?\nAnswer: 61965.0192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in years?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -41*g**7\/21 - 53*g**4\/12 - 34*g. What is the third derivative of a(f) wrt f?\nAnswer: -4920*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (272\/100)\/(128\/(-1600)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**3 + 11*o**2 - 10*o - 11. Let q(k) = -k**3 + k**2 - k - 1. Determine -22*q(j) + 2*y(j).\nAnswer: 10*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, o: 7}. Give prob of sequence bob.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + -13. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 1003.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12 - (0 + 4))\/(8\/20). Suppose x - 5*t - 26 = 0, 0 = l*x - 21*x + 3*t + 34. Calculate the remainder when x is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.9, 10, -10.54, 2\/167?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and (4 - 39\/12)\/((-1)\/(-1304))?\nAnswer: 10758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 9:55 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.45 - -7.323. Let b = 5 - w. Round b to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7204 (base 12) to base 14.\nAnswer: -472c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 605315 = 4*j, 78975 = -37*s + 40*s + 4*j. What are the prime factors of s?\nAnswer: 26317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 6*y - 4*k, -5*k = -5*y. Let l(v) = -v**3 - v**2 + v - 5. Let x be l(y). Which is greater: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537539083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8c6928 + -33?\nAnswer: -8c695b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 0.5, 2, -3.\nAnswer: -3, 0.5, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t\/(t\/t**(-7\/2)))\/t))\/t**(-2\/9))\/(t**(-1))**14)**(-17) assuming t is positive.\nAnswer: t**(-6035\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d8 + 9bfd3?\nAnswer: 9c1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 72\/864*-18*6*1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*-1 - 2\/(-1). Let f(x) = x**2 - x - 1. Let h(w) = 7*w**2 - 7*w - 64. Let b(z) = n*h(z) + 6*f(z). Is b(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 1:11 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 q when two letters picked without replacement from {q: 1, r: 3, u: 3, v: 7}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3077654183 + -2?\nAnswer: 3077654181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2 + 39 - 75 + 31. Let z(v) = 11*v. Give o(z(n)).\nAnswer: 847*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.1 (c) -5 (d) 3421 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*b + 106. Let m = -37 - -98. Calculate the remainder when m is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 774190066?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1269, -2519, -3757, -4983, -6197, -7399?\nAnswer: -8589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0) + 3 + 33. Let g be ((110\/33)\/1)\/((-2)\/(-15)). Suppose z = g*r - 21*r. What is the greatest common divisor of r and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7884*c**3 + 114*c*d - 11122*d + 37 wrt c?\nAnswer: 23652*c**2 + 114*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89890632 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-39)\/2)\/(-3) + 2\/(-4). Let z be (2\/3)\/(2\/f). Factor 1\/5*v - 2\/5*v**z + 1\/5.\nAnswer: -(v - 1)*(2*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83655221?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 3 = 5*s - 11, 4*s - 12 = -8*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -111836568*t**3 - 2*t**4 + 750*t + 3 + 111836568*t**3 + t**2 as v*t**2 + j*t**3 + p + y*t**4 + s*t and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 c, and 1 d when four letters picked without replacement from {d: 3, j: 1, c: 3, h: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 443 - -31. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 78*v**2 - 432*v + 66. Determine f(-72).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 16*s. Let m be t(16). Let c be (-2)\/((-4)\/1)*-2. Sort c, -2\/11, m in increasing order.\nAnswer: c, -2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 69. Let x = l - 82. Let g be (-6 + 10 - 2) + x\/1. Solve -3 = g*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 - 4*f**5 + 3*f**5 + (4 - 5 + 0)*(2*f**5 - 6*f**5 + 2*f**5) - f**5 + 4*f**3 - 4*f**3.\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6348, -12349, -18350, -24351, -30352, -36353?\nAnswer: -42354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from viyaaviwwmavwwa. Give prob of sequence avvi.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -277, 32, -4, 171 in ascending order.\nAnswer: -277, -4, 1, 2, 32, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 756844425 to the power of 1\/2, to the nearest integer?\nAnswer: 27511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 190171587*z**6 - z**5 + 1339986860*z**2 wrt z.\nAnswer: 22820590440*z**3 - 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*sqrt(270)*2 + sqrt(270))\/(sqrt(66)\/(sqrt(33)\/sqrt(3))))\/(sqrt(144) - 1*sqrt(36)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -2*m + 33, 4*c - 83 + 116 = 5*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-114)\/570 + 1\/(10\/82) + 2. Solve -r*c - 49 = 21 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3 + 2 - l**3 - 3 + 4*l - 2*l**2. Suppose 10 = -3*c - 2*f - 7, -f = 4. Calculate m(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.091, 0, -0.7 in decreasing order.\nAnswer: 0.091, 0, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 13*b**3 + 5*b**2 - 20*b + 20. Let w(n) = 17*n**3 + 8*n**2 - 32*n + 31. Let p(j) = 8*u(j) - 5*w(j). Let q(t) = 9*t**3 + 2. Determine 4*p(k) - 10*q(k).\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 15*i - 11. Let f be x(14). Let d(g) = -8*g**2 + 1 + 2*g + g**3 - f*g - 4*g**2. Determine d(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) + 28 + (-30160)\/1056. What is the third biggest value in 3\/7, 9\/7, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l - 6*l)*(l**4 + 7*l**4 - 2*l**4) + (0*l**3 - l**3 + 0*l**3)*(-l**2 + 4*l**2 - 4*l**2) + 5*l**5 + l**5 + 0*l**5 - 3*l**5 + l**5 + 3*l**5.\nAnswer: -28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*f = 2*a + 142, -6 = -2*f. Suppose 0 = 4*v - 3*d - 82, 2*v + 2*v = -2*d + 72. What is the remainder when a is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:36 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, n: 4}. Give prob of sequence nn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 282*y - 5094. Determine l(18).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a31 - 2?\nAnswer: a2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*l**3*x**3 + 8*l**3 + 141*l**2*x**2 - 2*l*x**5 + 10*l*x**3 wrt x.\nAnswer: 54*l**3 - 120*l*x**2 + 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 29 - 11 = 0. Let l be (-1)\/((i\/(-58))\/(-4)). Let k = l + 30. Solve 4*a + 5 = k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 26*z**2 - 22*z - 135. Let l be s(27). Solve l = 4*n - 2*g - 8, 5*n - 9 = 3*g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*2\/(-3) + 3. Suppose -10 = -n*l - 0. Let j(v) = -2*v**2 + 25*v - 59. Let o be j(9). Solve l*z - 2*y - 14 = 0, -5*z - o*y = -8 - 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*k + 5739 - 2299 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/63? (a) -5\/3 (b) -0.1 (c) -4\/3 (d) -5 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 3*i + 1. Let p be d(5). Let j = p + 40. What is the remainder when j is divided by 17\/(9 + -1 - 7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-216)\/36*(-2)\/(-42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*(4924\/(-51702))\/(((-4)\/14)\/(-1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -101*r. Let v be z(3). Suppose -320 - 92 = 2*m. Let y = m - v. What are the prime factors of y?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 14 = 2*m. Suppose -m*c = -8, 2*d - c = 3*d - 23. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 186221*q*v + 34651*q + 5 wrt v.\nAnswer: 186221*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -875.\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 98*v - 101*v - v**4 + 3*v**2 - 3 in the form q*v**3 + d*v**2 + i + b*v**4 + m*v and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (1 - 61))\/((-12)\/(-234)). Calculate the greatest common factor of 108 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.0471 to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + ((-2 + (sqrt(48) - (sqrt(48) + 3))*3)**2 - 4*sqrt(240)\/sqrt(20)).\nAnswer: -8*sqrt(3) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2\/23 + 446*h\/23 + 444\/23 = 0.\nAnswer: -222, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 + 3.25. Let d = g - 3. Which is the biggest value? (a) 5 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43737636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688 = 159*p - 425 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 102003021123?\nAnswer: -102003021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -263 + 130. Let x = o - -133.00000186. What is x rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 566 + -232. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l, -2 = -2*u + 4*u - 2*l. Is -1\/6 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -2*g**6\/75 + g**5\/25 + 4*g**4\/15 - 8*g**3\/15 - 3*g. Solve l(v) = 0 for v.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/47415 - 1422644\/4599255. What is the common denominator of (126\/(-8))\/(6\/4) and j?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and 66312.19624094?\nAnswer: 66319.19624094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*o - 394 + 3198, 0 = 5*m + 3*o - 7049. Does 88 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-2)\/(-4) + 22\/11. Calculate the greatest common divisor of 8 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**3 - 6*o**2 - 6*o + 4. What is the remainder when 91 is divided by k(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57250 and 10305?\nAnswer: 515250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (3 - (5 - 0)) - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 - 61. Suppose -2*o + 5*o = -18. Let i(a) = -4*a - 5. Calculate the remainder when q is divided by i(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 137*c - 109. Let g(a) = -143*a + 109. Let y(z) = 4*d(z) + 5*g(z). What is the first derivative of y(x) wrt x?\nAnswer: -167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322022 - 113?\nAnswer: -322201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + 6*l**2 + 15. Let t be z(7). Suppose 424 = 11*y - t. List the prime factors of y.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.5 (b) -2\/3 (c) 12.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, -12\/11, -1\/9?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5274 - 5271. What is the third smallest value in -1.7, u, 1\/5, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + 27 + (-8 - (2 + (0 - 4)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*a + 106*a + 4*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**3 + 900*z**2 + 132096*z + 6356992 = 0.\nAnswer: -194, -128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*p - 2980938 + 2960554 = 0 for p.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 657*i*v**2 + 3*i*v + 5*v**2 + 2431 wrt v.\nAnswer: 1314*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (112\/(-24))\/((-4)\/390) and 65?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1061021.35+20.28\nAnswer: -1061001.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + d + 1. Let p = 6 - 4. Suppose -3*u + 11 = -t, -3*t = -p*u + 5*u + 9. Let a(x) = -2 - x - 3*x**u + x**2 + 5*x**2. Calculate 2*a(h) + 4*k(h).\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -518b2 (base 12) in base 15?\nAnswer: -2192e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/4 + 433557*m\/4 - 7368735\/2.\nAnswer: -3*(m - 144485)*(m - 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 8*w - 3*w + 20, -28*l - 7 - 123 = -8*l + 5*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-1\/17)\/q*q)**(2\/13))**18)**27)**27 assuming q is positive.\nAnswer: q**(-26244\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1823\/85269 or 1?\nAnswer: 1823\/85269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 3*h - 864 = 0. Suppose 3*a - 5*q = -44, a + q + 7 + 13 = 0. Let s = a + h. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and (-24)\/12 + -4 + 496.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 0.12, -12, -0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**3 + s - 1. Let z be m(1). Suppose 0 = -2*u + z + 31. What is the remainder when 36 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 815*c**3 - 4661*c**3 + 161*c**3 - 4151*c**3.\nAnswer: -7836*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 4, -10, -28?\n\"Answer: -2*u**2 - 4*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5 + 1. Let z = 1 - g. Suppose -z*b + 231 = -0. What is the highest common divisor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 8:36 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/13 - 404*b**4\/13 + 14384*b**3\/13 - 152000*b**2\/13 + 147200*b\/13 + 1024000\/13 = 0. Calculate b.\nAnswer: -2, 4, 20, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-12)*(3 + -9). Let v be (-54 - -53)\/(y\/147). What is the greatest common divisor of v and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -44*p - 81. Suppose -2*w = i + 13 - 9, -5*i + 4*w - 6 = 0. Calculate s(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2093\/380 + 291\/38. Calculate the common denominator of f and 11\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + 3. Let d = 64 - 39. Suppose 3*h = -2*h + d. What is the remainder when j is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166221 (base 10) in base 7?\nAnswer: -1261416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38\/(-4)*-2*5. Suppose -5*d + g = 6*y - 2*y, -5*d = -5*y - 95. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 96\/14 - 5*1072\/(-280)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 2*u - 3. Let w(g) = g**3 + 7*g**2 - 6*g + 10. Let t(z) = -7*m(z) - 2*w(z). Calculate t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -55011784642.\nAnswer: -55011784642.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/210 and -149\/960.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - l**3)*(-52*l - 250*l - 15544 + 15547).\nAnswer: 302*l**4 - 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*224231.\nAnswer: -67269.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1.2, 57, -63?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*w + 23, 0 = -7*p + 3*p - w + 15. Let k be 0\/(-4*2\/p). Solve 4*l - 4*f + 8 - 4 = 0, l - 2*f - 2 = k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 11*k**2 - 26*k. Let m be w(13). Let u be (m + (-4)\/(-5))\/(32\/160). Solve -u*a = -7*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 12. Determine i(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001020012 (base 3) in base 2?\nAnswer: 10011011100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4441057010 and 3.\nAnswer: -4441057007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1305689\/285 - 4581. Let y = -263\/456 + 13\/24. Let l = y - n. Are l and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 - -7. Let x = -7 - y. Suppose 0 = 3*p - 4*k - x, 1 - 2 = -k. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2 - u - 14. Determine m(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -14 + 6 + -17 + (-3 - 1) + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1736)\/(-1984) + (-26455)\/(-440)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*m + 911 = 0, -c + 3*m - 408 + 119 = 0. Let b be -1 + (6 - c\/(-63)). What is the nearest to -2\/3 in 6, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 8. Suppose 8*d - 11*d = -5*y + 81, -4*d = -4*y + 60. Let m be (-2)\/7 - (-1128)\/(-21). Let f be 4\/y + (-420)\/m. Determine q(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000053910201 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 6\/(3\/2 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {r: 2, y: 17}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((8 - 29) + 20 - (18 - 5) - -37) + 10\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(220)\/sqrt(5)))\/(sqrt(48)*-1*6).\nAnswer: -sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 48 = 6. Suppose 3*r + m*s - 9235 = 0, -r + 47*s + 3084 = 42*s. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -2*d, 217 = 17*d - 22*d - 98*q - 23*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 4, -22, 0, -5 in ascending order.\nAnswer: -22, -5, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42354 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.386 take away 56?\nAnswer: -51.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 116*k**7\/7 + 2*k**6 - 4*k**3\/3 - 56*k + 378. What is the third derivative of m(i) wrt i?\nAnswer: 13920*i**3 + 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) 681 (c) -0.096192\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 14*w. Let j(l) = 6170*l**2. Determine g(j(y)).\nAnswer: 86380*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 12) to base 11\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 11:48 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 644556746 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11886 divided by 5\nAnswer: 11886\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34, -53, -72, -91?\n\"Answer: -19*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(sqrt(448) - (sqrt(448) + 1)) + (sqrt(448) + 2 + sqrt(448) + sqrt(448) + -4 - sqrt(448)) + -4)**2.\nAnswer: 32*sqrt(7) + 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -109*c + 51. Let j(x) = 99*x - 52. Calculate -3*a(p) - 4*j(p).\nAnswer: -69*p + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6*14\/(-7))\/(760\/(-9120)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 8. Let z be y(-5). Suppose 31 = z*n + 10. What is the remainder when (3 - 5 - 4)*-3 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**11\/332640 + k**10\/151200 - k**5\/20 - 7*k**2. Let n(y) be the third derivative of w(y). Factor n(g).\nAnswer: g**4*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/37 (b) -1\/24 (c) 4 (d) -3.3 (e) 0 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*d + 3180, -4*p = -2*p + 5*d - 1272. Let s be p\/20 + (-2)\/(-10). Suppose 0 = -z + s + 40. Calculate the greatest common divisor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 40.3974\nAnswer: 8.07948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*m**3 + 60*m**3 - 88*m**3 + (1 - 1 + 2*m**2)*(-3*m - 3*m + 5*m) - 2*m**3 - m**3 + 5*m**3.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1589*j + 96758 = -245*j + 1135*j - 108999 for j.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 15 = u, 2*u - w + 2*w = 16. Let x be 8 + -5 + (-8 - -2). Let q = u - x. Solve -2*p - a = -q, -p = -3*a + 7 + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0191 plus -6.255?\nAnswer: -6.2359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*s**3 + 0 + 0 - 35*s**3 + 14*s**3.\nAnswer: 72*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3 - 2 + q**2 + 9*q**2 + 4*q. Let r be 2*2\/4 - 8. Let u(a) be the third derivative of -a**5\/20 - a**4\/24 - 22*a**2 + 2. Give r*u(o) - 2*n(o).\nAnswer: o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 178, 1\/6, 11, -5, 2\/11?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 + 2*k**2 - k. List the prime factors of v(2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**4 + 35960*j**3 - 1610604*j**2 + 4508280*j = 0. Calculate j.\nAnswer: 0, 3, 42, 8945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(2\/3)\/(d**(-8)\/d**(-9)) assuming d is positive.\nAnswer: d**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsh when three letters picked without replacement from srkerthrhrrh.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 1:02 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 + 50)\/(-3*14\/(-63)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:25 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1.37, 475, 2?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 3. Let o = 889 + -886. Which is the second biggest value? (a) o (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 0. Let s = -0.605 - -0.105. Which is the fourth smallest value? (a) 5\/3 (b) 3 (c) k (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h + 38039*h**3 - 9*h - 14810*h**3.\nAnswer: 23229*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 53, 65, 93, 143, 221, 333?\n\"Answer: b**3 + 2*b**2 - b + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 10 = -s, 19*s + 22 = 5*i + 22*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.5 - 13. Let d = y + 2.49999969. What is d rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 31 = -5*b + b, -15 = 3*o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 3:13 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6412 and 3234?\nAnswer: 1481172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*v + 2, -5*v = -5*i - 12 - 18. Let f = -0.017 + 22.017. Let n = 22.4 - f. What is the nearest to n in 1\/7, 3, i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*g = -4*a + 154*g, 4*a + 3*g - 8 = -0*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -881\/7, 1.5, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -32212303111?\nAnswer: 32212303120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*s)*(-2*s**3 - 3*s**3 + 7*s**3 - 5*s**2 + 5*s**2 - 8*s**3 + (-s**2 + 5*s**2 - 2*s**2)*(-5*s + 4*s + 3*s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 20*b - 18*b + 4, 5*b = -l + 8. Put -43, 1, l in descending order.\nAnswer: l, 1, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3626098*d - 1803372*d - 1822726*d - d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-16 - -5) - 10) + -5 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 335\/6. Does z = -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*u**5 - 214*u**4 + 862*u**2 - 4*u wrt u.\nAnswer: -1380*u**2 - 5136*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - (46 + -60)) + 1 + 8 + -32.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvea when four letters picked without replacement from aaevaevv?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293702.\nAnswer: 2, 19, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/20*2\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(275))**2 - ((sqrt(11)*1 + 5)**2 + sqrt(11)).\nAnswer: -11*sqrt(11) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.572 - -666.\nAnswer: 669.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 409598 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -114389467 and -120.62362.\nAnswer: -114389587.62362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -2\/3*k + 7\/6*k**2 - 3 - 1\/3*k**3. Factor w(d).\nAnswer: -(d - 2)*(3*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:12 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10892732 greater than 10892731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60*a*j**3 + 4*a - 191*j**3 wrt a?\nAnswer: 60*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g - 122*g = -1500 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (945\/(-480)*-8)\/(24\/64)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5.02, 2\/7 in ascending order.\nAnswer: -4, 2\/7, 5.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1441186982?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42122 is divided by 91?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -453*i + 21400. Calculate a(48).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 10*o + 6. Let m be t(-5). Let l = m + -8. Let c = 1\/24 - 17\/24. Is c >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 3*j**2 + 5*j + 4. Let u be y(-4). Suppose u*w = -5*w + 25, 5*l = -w + 6580. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2001172 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2873 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 7*k - 10. Suppose -6 + 4 = -v. Suppose 2*r - 24 = -2*r + 4*b, v*b = -r. What is the smallest common multiple of d(r) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (142*b + 7*b**2 - 142*b)*(-255 + 23*b + 255) as g + u*b**2 + p*b + y*b**3 and give y.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16720*s**3 + 33428*s**3 - 16712*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 3*x**2 + 8*x - 3. Calculate g(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -39*g. Let x(f) = -8*f**2. Let q be (24\/21)\/4 + (-26)\/(-7). Let l(i) = -2*i**2. Let r(n) = q*x(n) - 18*l(n). Give r(w(c)).\nAnswer: 6084*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -883 - -882.131. What is n rounded to 2 decimal places?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -106a - -4?\nAnswer: -1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-76)\/798 - (542\/42 - 0). Is m > -62\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 2738*h + 2735*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331570.27 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 5064?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -11*z**4\/6 + 605*z. Let v(f) = f**2. What is v(g(n))?\nAnswer: 484*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utk when three letters picked without replacement from tuk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**3 + n. Suppose -18 - 7 = -5*x, 3*f + 3*x = 27. Let q(y) = y**2 - 4*y - 1. Let z be q(f). Let h be d(z). Put h, 4, 3 in ascending order.\nAnswer: h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 - 44 - (-1 - (2 - 7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.036 - 2.964. Let n = 0.4 - 0.4. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2481.922 millilitres to litres.\nAnswer: 2.481922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 791667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 19. Solve z*y - y = -6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + -24 + -6 + 4. Let v = -22 - d. Suppose -2*m - 2*m + 5*f = -284, 0 = f + v. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:06 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6545717\/6 or 1090954?\nAnswer: 1090954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 6529*r**5\/60 - 273*r**3\/2 - 2*r**2 - 2*r + 499. Differentiate m(j) wrt j.\nAnswer: 13058*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*i + 6 = 0, -5*p + 4*p - 3*i + 2 = 0. Solve -2*r + 0*r + 16 = 4*a, r = 3*a - p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.5 + 50.7. Let g = 12.1 + n. Let o = g + -33. What is o rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -233010, -466011, -699006, -931995?\n\"Answer: 3*k**2 - 233010*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1938, -2538, -3142, -3750, -4362, -4978?\n\"Answer: -2*g**2 - 594*g - 1342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.7, -3, 321, 2 in descending order.\nAnswer: 321, 6.7, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*n + 1465 = 77*n - 1118 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-2 + 3 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234 by -25.\nAnswer: 234\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjnjcj. What is prob of sequence cn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - 1. Let t be -5 + 2 - j\/3. Sort 0, -3, t in increasing order.\nAnswer: -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (7 + (-15 - (-5 + 0) - (-8 - 0)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b - 49. Let t be m(-7). Solve -t*a = -2*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*w + 3*w. Let k = 1006 - 999. Sort w, -3, k in increasing order.\nAnswer: -3, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + j - 13165 = d, 17558 = -4*d - j. Let r = 2962 + d. Let v = -4 - r. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -441681*b - 1. Calculate d(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - y - 249249, -4*s - 5*y + 112223 = -87153. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30569.9999910177 - 30570. What is c rounded to 7 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/5)\/(-3 - -2). Suppose 2*p - 4*s = 16, -2*s - 3*s = p + 6. Let x = p + -15\/4. Which is the third biggest value? (a) -2\/11 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = -h. Let j be (-1 - h)*(-1)\/(-2). Solve -j*u = -u + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - j = -122, 0 = 4*t - 5*t - 2*j + 44. Suppose -13*u + t = -11*u. What is the remainder when u is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*k + 178 - 956, -q = 5*k - 1959. Calculate the remainder when k is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-1)\/6)\/((-20)\/(-60)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 - -76) + (-1 - (0 + -1)). Suppose 8*c = -k - 18. Round c to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1224 (base 6) to base 7\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*g - 11*g - 4302. What is the remainder when g is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 7 - (-2 + -12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*l - 16 = 236*l + 20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 731315820 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5797*g**2*s*t + 16*g**2*t*y + 2*g*s*t*y + 29*g*y + 3142*s*t*y + 3*s*t wrt g.\nAnswer: 11594*s*t + 32*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1370.5 - -819. Let k = y - -552. Let u = 1 + -1.1. Put 1, u, k in descending order.\nAnswer: 1, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13729, 27044, 40359, 53674, 66989?\n\"Answer: 13315*x + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 8:04 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5 + 6*m**4 + 13*m**3 + 12*m**2 + 4*m = 0 for m.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74028, -74030, -74032, -74034?\nAnswer: -74036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0 = -2. Let c = -5 + 9. Solve h*l - c = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-140)\/(-8))\/7)\/(3\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**5\/10 - g**4\/4 - g**3\/6 + 9. Factor r(b).\nAnswer: -b**2*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127*0.026491.\nAnswer: -3.364357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 1042, 2396, 4296, 6736, 9710, 13212, 17236?\nAnswer: 21776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 197.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 2:40 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s + 248 = 3*y - 26*s, 0 = -4*y - 4*s + 328. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/516*-10)\/((-415)\/(-332)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/176888 and 21\/314.\nAnswer: 27771416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5579885350 to the nearest one million.\nAnswer: -5580000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 436 - 438. Let p(m) = 3*m**3 - m**2 - 2*m + 1. Give p(j).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16383 * -1231\nAnswer: 20167473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + -28. Let l = g - -115. What is the least common multiple of l and 4?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - t = -6*t + 28, -4*m = -5*t + 37. Let r(h) = -2 - 2*h - h**2 - h - 2*h. Determine r(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1701 and 689322.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (6 + -7) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 296 - 281. Suppose 63824 = d*i + i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46645, 186502, 419597, 745930, 1165501, 1678310, 2284357?\nAnswer: 2983642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 84 + o + o.\nAnswer: 2*o - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (20 - -1)*((-9690)\/(-15561) - (-8)\/(-156))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from hsghhssssshshhshsshs.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*v**5 + 435*v**3 - 2 + 12*v + 20*v - 5 - 432*v**3 wrt v.\nAnswer: -720*v**3 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/(-6)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 y when four letters picked without replacement from {w: 2, g: 3, c: 2, y: 6}.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3071607766 to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -3*m + 4*o, 14*m + 258 = -o - 8 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*z = 992*z - 380*z + 7532 + 2107 for z.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*q + 2*x, q + x + 3 = 3*q. Find the third derivative of 4 - 4*t**2 - q + 2*t**4 wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 192 - 810. Suppose -a = 13 - r. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18436 and 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10102112021 (base 3) to base 12\nAnswer: -33051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6660882769 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 2. Let c(s) = -10*s + s + 5*s**2 - 3*s**2 + 4*s + 6*s. Let w(p) = -9*p**2 - 7*p + 3. Let k(t) = -5*c(t) - w(t). What is k(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -14656*z + 58436. Give r(4).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000802 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 2198396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83 and 415?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169458 is divided by 55448.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 + 73. Let w = n + -17. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26719011 and 594?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 301 - 422. Suppose -2*s - 5*t - 293 = 0, 5*s - 4*t + 7*t + n = 0. Let y = 355 + s. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 7:03 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 - 560*t**2\/3 - 15589*t\/3 - 33630.\nAnswer: -(t + 10)*(t + 19)*(t + 531)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -15*q - 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**3 + 2*o**2 + 5. Suppose -17 = -3*t + h, -2*t + 22 = t - 2*h. Let g(d) = -3*d**3 + d**2 + 3. Let a(n) = t*u(n) - 7*g(n). What is a(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 2461803*i - 66469410.\nAnswer: (i - 2461830)*(i + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = r + 2*k + 24, -95 = 4*r - 5*k. Let f = -15 - r. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(sqrt(72)\/sqrt(6)) + sqrt(26) + sqrt(104)*2)\/(-1*sqrt(128)*2).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 + 2101202212010?\nAnswer: 2101202211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*0\/(6\/3). Suppose -39 = -5*c - t, u = -3*t - t - 4. Solve 2*w = -f + 2*f + c, -4*f = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 15*m = 364. Let j = -982981\/4980 - -3968\/249. Let g = j + m. Calculate the common denominator of g and -85\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0748 times 0.0904?\nAnswer: -0.00676192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -22466920 to the nearest 100000.\nAnswer: -22500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/35719, -8, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b - 28. Let w be f(-12). Does 9 divide (-38)\/(-4)*w + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/7 + 8*m**2\/7 + 10*m\/7 + 4\/7 = 0. Calculate m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 - 8*x + 8. Let w(d) = 4*d**2 + 7*d - 7. Let l(p) = -5*u(p) - 6*w(p). Let y(o) = o. Let t = -140 - -141. Give t*l(j) + 3*y(j).\nAnswer: j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 750 + 376 = -430 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3 - 14*v**2 - 24*v = 0. Calculate v.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 31*o + 3. Let f(b) = -30*b - 2. Calculate -5*f(i) - 4*h(i).\nAnswer: 26*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 6813\/25315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 114. Let i = m - 124. Is 8 a factor of (-3 + 4)\/((-3)\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46757 is divided by 454.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5*j - 90, 5 = 2*j - 1. Let p(l) = -2*l**2 - 10*l - 26. Let a be p(-3). Let t = a + n. Is 1 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -147\/813661?\nAnswer: -147\/813661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from {q: 1, t: 1, h: 1, d: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621180.\nAnswer: 2, 3, 5, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 9*i**2 - 10*i + 9. Let a be l(8). Let v = a + 11. Suppose -v*j + 66 = -j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1250*f - 11332 + 20712 = -25620 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5690 + 3210. What is l rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**3 - p**2. Let l be b(1). What is the third derivative of 8*w**2 + 12*w**2 - 10*w**3 + w**l wrt w?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*v + 0*v - 26*v - v**2 - v + 4*v**2 to l*v**2 + u*v + j and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -15 + -8 + -3.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-10)*(-5)\/(-45).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (5*(sqrt(133) - sqrt(133)*3) - sqrt(133)))\/((sqrt(105)\/sqrt(3))\/sqrt(5)).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 4*n - 13. Give z(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2162*x - 8644*x + 2167*x + 2150*x + 2168*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) + 1*sqrt(400))*-6)\/(sqrt(15)\/(sqrt(147)*-3)).\nAnswer: 1008*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 3:14 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -21.\nAnswer: -13\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*o**3 - 96*o**3 + 2*o**2 + 494*o**3 - 167*o**3.\nAnswer: 74*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 1:39 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.44 + 6. Let f = 0.04 + k. Which is the second smallest value? (a) f (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1216) - (sqrt(1216)*-4 + sqrt(1216))) + sqrt(1216) + -2 + (4*sqrt(1216) + sqrt(1216))**2)*-1.\nAnswer: -30403 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**3 + 6*m**2. Let t(c) = -c**3 + 3*c**2 + 3*c - 3. Let q be t(3). Let u be (9 + -8)*26 + -27. Let b(l) = l**3 + l**2. Determine q*b(a) + u*y(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 10)*(-191*x**4 - 139*x**4 - 155*x**4) to d*x**3 + b*x + s*x**2 + f + r*x**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -262, 6, -2, 1, -1 in descending order.\nAnswer: 6, 1, -1, -2, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + -3 + 6 - (5 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24, -99, -300, -687, -1320?\n\"Answer: -10*r**3 - 3*r**2 + 4*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11035 divided by 1?\nAnswer: 11035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - b - 5*r + 25 + 37, -2*r = -28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2 + 57560*y - 414144200 = 0.\nAnswer: 14390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(66)\/sqrt(3))\/sqrt(11) + -2)**2.\nAnswer: -12 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) 2 (c) 0.1 (d) 0 (e) -13.0782 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s, -4 = -c - 4*s + 6. Suppose -c*z - 2 = -f, 3*z + 4*f = -z - 4. Let a be 1 + (-6)\/3 + 4. What is the biggest value in 5, a, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + 2 + -4 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*p**2 + 40*p**2 - p + 0 + 0 as v*p**2 + u*p + f and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -4 (c) -2532\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1253 + -526222?\nAnswer: -524636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 1. Let n(a) = -i + 2*a + a + 9. Let b(w) = -9*w - 7. Let d(k) = 2*b(k) + 7*n(k). Let f(l) = l**2. Calculate d(f(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -260*d. Let j(n) = 7*n. Give -6*g(a) - 221*j(a).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*q - 208*q - 171*q + 557*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 261098 - 1558595\/6. Let u = -1338 + c. Calculate the common denominator of 65\/18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -2, 20, 1.\nAnswer: -52, -2, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -25. Let g(h) = h**3 - 3*h. Let z(n) be the third derivative of n**6\/40 - 13*n**4\/24 + 2*n**2. Suppose -4 = d - 3*d. Determine d*z(b) + t*g(b).\nAnswer: -3*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 859, 868, 883, 904, 931?\n\"Answer: 3*c**2 + 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119354846 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -278 + 464. Let k be 1 + -1 - 22\/(-55) - 618\/(-5). What is the highest common factor of v and k?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/4*((-4)\/110*-11)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/68814098 or 0?\nAnswer: -3\/68814098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((2 - -3) + -8) - (0 + 0 - -73).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -13*j + 1. Let v = 452 + -209. Let o = -244 + v. Determine l(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 21*r**2 + 107*r - 220. What is b(25)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 273708 and 60824?\nAnswer: 547416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o**2 - 10*o - 2. Let k(c) = -7*c**2 - 12*c - 3. Calculate 4*k(j) - 5*s(j).\nAnswer: 2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2323952551?\nAnswer: 641, 3625511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 113*r + r**3 - 184*r + 71*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 + -31. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*f**2 + 2*f**3 - 4*f**3 + 0*f**3.\nAnswer: -2*f**3 + 32*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1128 - 449. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001100110100 + 1010010010?\nAnswer: 1101010111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u - 75 = 79 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - (48 + -24) - -5) + 6.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-3)*229*(-30)\/(-5) is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5937 - 3014. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, 830, -5, 1, -1 in increasing order.\nAnswer: -8, -5, -1, 1, 5, 830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/273*-13*2\/(-12)*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sybwyyyyawsyyssyybys. What is prob of sequence sssy?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2877 and -16\/20139?\nAnswer: 20139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -48*j + 43*j + 10, 4*j + 5 = -5*z. Suppose -5*a + j*c = 0, -4*c = -0*a + 5*a. Sort -15, a, -3, -4 in decreasing order.\nAnswer: a, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.1128 - -2.6128. Which is the third smallest value? (a) -2 (b) 37 (c) w (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3908 = -178*n - 526 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1653 divide 427517670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1663206197 or -1663206195?\nAnswer: -1663206197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**4\/4 + s**3\/6 - s**2. Suppose 3*j + 6 = -3*x, 39*x - 40*x - 3*j - 4 = 0. Determine m(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*c - 173*c + 352*c.\nAnswer: 41*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, y: 2, p: 6, d: 3, s: 1}. Give prob of sequence tp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 1. Let a = -47 + 46. Let f be x(a). Let o(q) = -q**3 + 10. Give o(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/1975 + -108631\/5925. What is the common denominator of -19\/2 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -37. Let n = 14 + 7. What is the remainder when n is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-130)*-1*5\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*j + 15, -3*b - 4*j = 32. Put b, 1, 4, -1 in ascending order.\nAnswer: b, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 16 = -u, -2*u - 4*b + 11 = -3*b. Suppose -5*h + 3*v = -0*h - 33, -3*v + 39 = 3*h. Solve -u*c = -h*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11338.9 + -65.45\nAnswer: 11273.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + (1 - 3) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1483.\nAnswer: 1\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8174348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 118629430?\nAnswer: 949035440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5*a - 41 = 0, 2*l + 6848*a - 6849*a + 18 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -62 - -71 - (-1 + 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*q - 63 = -121*q. Solve -q*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -5, 6.\nAnswer: -23, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 174430 smaller than 12.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -496804, -496924, -497044, -497164, -497284?\nAnswer: -497404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.785734 days to hours.\nAnswer: 138.857616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, m: 4, l: 3, k: 4}. Give prob of sequence pmp.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 10 = 4*c, -4*c - 4 = 4*r - 0*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzzpzzppppzzppzp. Give prob of picking 3 z.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -1\/7, 8.51?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -7 + 8 + (-14 - -1 - -7 - 22)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 49133347 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 0, 56, 1\/9, -12?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - sqrt(243)*3)*-2 + (sqrt(243)*-2 + sqrt(243))*-1)**2.\nAnswer: 6075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 8*l - 755. Let f = -84 + l. What is the units digit of f\/4 + (-6)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 10*s**2 - 9*s + 3. Let t be p(8). Suppose v = -t - 578. Is (v\/(-2))\/((-1)\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.3 in -10, 1\/7, -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*o + 19*o + 528. Is (6 + o\/20)*-25 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = m + 2*c, 0 = -5*m - 6*c + 2*c + 1884. Suppose -r + 38 = 2*s - s, 8 = r - 5*s. What is the remainder when m\/6 - (-10)\/(-30) is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2398 times -3?\nAnswer: -7194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/36 and 55\/1788.\nAnswer: 5364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 - -3.99. Let d = 34.9 - 34.88. Which is the biggest value? (a) x (b) 2\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1560 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - l + 0*l)*(2 - 3 + 0)*(-1 - l**3 + 1)*(-10 + 8 + 33) as x*l**3 + i*l + b*l**4 + o + z*l**2 and give b.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15657 + -10654. List the prime factors of d.\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 295296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -212.9 - -213. Let m = -0.1 + v. Suppose 15 = -0*u - 5*u. Which is the nearest to -0.4? (a) m (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64147 + 90588. What are the prime factors of j?\nAnswer: 137, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330222 (base 4) in base 13?\nAnswer: -19c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*(2*sqrt(68) - sqrt(68)))\/(sqrt(4) + sqrt(4) + ((sqrt(96)\/sqrt(4))\/sqrt(6) + sqrt(4) - sqrt(4)) + (sqrt(576) - sqrt(576)*-1)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (6 + 1 - -1) + 4 + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147 - -133. Let f = -71\/5 - x. Let z = 0.2 - -0.8. What is the nearest to f in z, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75900 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11879*a + 5007. Is g(104) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3490005104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 17*m**2 - 37*m + 15. Let x(c) = 9*c**2 - 20*c + 8. Let j(l) = -6*t(l) + 11*x(l). Let u(v) = -v. What is -j(a) - u(a)?\nAnswer: 3*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3935.\nAnswer: 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/11 and 5\/76?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 927.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -149, 3, -2, 1\/2, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71810682 is divided by 198372?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -34. Let n = 1 - 1.1. Suppose -5*h + 19 = -29*i + 32*i, -12 = -2*i - 3*h. What is the biggest value in i, x, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-5)*(-90)\/(-4). Suppose -d = -4*y - k - k, 2*y = -2*k + 4. Let s = 8 + -5. Solve -3*t + 2*i + y = 0, -1 = -2*t - 2*i - s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -183*a**5 + 177*a**4 - 3267*a**3 - 3268*a**3 + 6541*a**3 = 0. Calculate a.\nAnswer: -2\/61, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/91258 or 0?\nAnswer: 1\/91258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 20 + -1?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9342678?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 8:15 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -3. Let w(l) = -l**2 + 4*l. Let s be w(m). Suppose -5*g + s*g = -64. Calculate the remainder when g is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*3\/(-6) - -9. Let c be y\/(-6) - (-7)\/2. Suppose 0 = c*m - 0*m - 3*d - 60, 3*m + d = 68. Solve 0 = 2*a + 4*f - m, -8 + 3 = 5*a - 3*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-862*h + 7488 - 7488)*(-3 + 0 + 4) + 0*h - h + 2*h.\nAnswer: -861*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 1\/6*y**3 + 1\/16*y**4 - 1\/240*y**6 + 0 + y**2 + 0*y**5 + 5*y. Let r(f) be the first derivative of j(f). Factor r(v).\nAnswer: -(v - 2)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-2 + 5)\/(-1). Let q be 48\/(-40) - 9\/(-45). Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m + 32*m = -25. Let s be (9\/(-42))\/(m\/((-105)\/6)). Factor -81*p - s*p**4 - 9*p**3 - 243\/4 - 81\/2*p**2.\nAnswer: -3*(p + 3)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2363 = 13*n + 2298. Let p be (-154)\/126 + 2 + -1. Which is the nearest to 0.2? (a) 2.9 (b) p (c) 1\/4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*2 + -4 - (sqrt(1872) - sqrt(1872)*1))**2.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*f**4 - 37*f wrt f.\nAnswer: -1008*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5735, 4\/5, -0.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -16*z + 1220. Give n(54).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 54\/(-15) + 4 - -21*87\/45.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 + -92. Let t = 521.11 - 520. Is t smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1290 - 1290 + 5*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*j + 3439 = 0, 0*s = 2*s + 4*j - 1386. Suppose 2*z = 10 - 0. Suppose 0 = -z*a - 5989 + s. Round a to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351419*y - 47 + 49 + 351470*y.\nAnswer: 51*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-2))\/((-10023)\/514)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 980 and 2320976?\nAnswer: 81234160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 23*l**2 + 29*l + 19. Let y be 30\/75*((1 - 1) + 55). Is n(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 0 + 54 = 0. Let t(i) be the second derivative of -1\/9*i**3 + 2\/135*i**m - 1\/54*i**4 - 3*i + 1\/30*i**5 + 0 - 1\/9*i**2. Let t(h) = 0. What is h?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-2*sqrt(27) - sqrt(3)).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 36. Let i(z) = -z**3 + 8*z**2 - 7*z + 6. Let h be i(4). Suppose -u = 2*u - h. What is the highest common divisor of x and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 q when three letters picked without replacement from {q: 3, c: 2, n: 2, k: 1, y: 2, j: 2}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.23 (b) -1 (c) -91 (d) 10 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + g - 2. Give t(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -1326\nAnswer: 22542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 268065 = -70*t + 1380561. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1008) - sqrt(1008)*-1)*6 - ((0 + sqrt(1008))*-1 + sqrt(1008))) + -2 + (sqrt(1008) + -2 + -1 - sqrt(1008)*4*5))*-4)**2.\nAnswer: 13440*sqrt(7) + 790672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90317973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*g + 40. Suppose g*x = -0*x - 3080. Round x to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(3 - 4 + 5)*(-3 + 3 - 2)*(2*q - 2 - q - 1).\nAnswer: 8*q - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert c11 (base 15) to base 11.\nAnswer: 204a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-2872)\/(-958) + (-6)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h + 80. Calculate u(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171180 is divided by 2313?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 899 and 6975?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20691 is divided by 43?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -152215?\nAnswer: 152224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2551056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(259\/(-14)))\/((-137)\/1).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g - 5*g + 67*g - 11. Let y be j(5). Suppose -115 = -4*n + y. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.62 - -38.22. Let y = c + -35. What is the second smallest value in -2\/13, y, 1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 6007700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -51. Calculate the lowest common multiple of 10 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17864458?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 257981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 + (-102 - -109) - 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 7:43 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -199 + 2?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 269301075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 693487.5331 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d**(2\/15)*d))*d*(d**22\/d)\/d*d*d)\/(d\/d**21*d**(-20)) assuming d is positive.\nAnswer: d**(977\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2710 (b) -0.15 (c) 3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 + 2*c**2 + 14*c - 5. Let i be r(12). Let m = i - -5242. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -497633 (base 10) to base 14.\nAnswer: -cd4d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-10 - (-5 + -9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39.1? (a) 3\/2 (b) -4 (c) 2 (d) 7 (e) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, f: 1, e: 1, o: 1}. What is prob of picking 1 o and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3048 + 3868. Are 819 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 13*f + 27. List the prime factors of p(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173700 and 11900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 - s**5 + 2 + s - 5 + (3*s - 3*s - 2*s**2)*(2 + 3*s**3 - 2).\nAnswer: -7*s**5 + s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*g - p + 21, p = -3. Suppose -g*h + 4*h + 68 = 0. Calculate the common denominator of h and -51\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700120 is divided by 104?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 970 - 34 = 0. Sort 5, -5, r in ascending order.\nAnswer: -5, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, j: 4, x: 1, n: 10}. What is prob of picking 2 j?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8.6, 716, -13, 2.4 in increasing order.\nAnswer: -13, 2.4, 8.6, 716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/3*1*1\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -36014, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 8*n - 1106. List the prime factors of n.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71111 to the power of 1\/2, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (11 - (-3 + 1 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 1, 5, -5, 793, -2, 32 in decreasing order.\nAnswer: 793, 32, 5, 1, -2, -5, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = -3. Suppose -4*z = -4*l - 1592, -10 = t*l - 5*l. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -101529 - 144.897.\nAnswer: -101673.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13552 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-2*v + 0*v + 0*v) - v + 3*v - v + 17*v - 2*v - 6*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.97516 rounded to one decimal place?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*h - 10 = 0, 4*i + 2*h + 23 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 - 5*k - 1. Let b(q) = -3*q**2 + 6*q + 2. Suppose 5*o = 1 - 26. Let v(u) = o*b(u) - 6*d(u). Differentiate v(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1503*w**2 + 12*w + 368837.\nAnswer: 3006*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 970 + -962. What is the least common multiple of 1102 and i?\nAnswer: 4408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - (8 + -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 + l**3 - 2*l**3 + (-4*l - 2*l + 0*l)*(l**2 + 0*l**2 - 3*l**2) - 3*l**3 + 2*l**3 - 4*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 7:43 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1854 - 1.4206. Let d = 1.61439 + v. Round d to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrirrrii. Give prob of sequence riii.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 13, j: 6}. Give prob of sequence jjjl.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 10:51 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 1) + (2 - -10 - 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1257*k**3 - 246*k**3 + 651*k**3.\nAnswer: 1662*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -374 + 379. Sort -13, l, -3, 157, 4.\nAnswer: -13, -3, 4, l, 157","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, m: 3}. What is prob of sequence mpm?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - j**2 + j - 2. Let s(f) = 18*f**3 + 116*f**2 - 2636*f + 18502. Let o(i) = 2*s(i) - 20*y(i). Factor o(n).\nAnswer: -4*(n - 21)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 3*r + 1. Let n be y(-2). Let l be (-8 + 4 - -4)*-1. Which is smaller: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -41055\/85487?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1467?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 252\/972*(4\/(-98))\/((-23)\/161)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131141329 and 8888?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*l**3 - 83*l**3 + 165*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15 + -1.05. Which is the second biggest value? (a) -0.4 (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**3 + 2*m**2 - 3*m + 2. Suppose 59 = 3*g - 4*o, -3*o + 0 = 15. Let a = 13 - g. Suppose a = -19*i + 15*i + 8. Determine p(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 4. Let a be r(-3). Are 7 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**28*z**(-29)*z)\/(z**5\/z**(-25)))**1 assuming z is positive.\nAnswer: z**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - n + 20 = n, -h + n = 4. Let k = -35 - -23. Let s = -17 - k. Put h, -2, s in decreasing order.\nAnswer: -2, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvbbzbvovuouv. Give prob of picking 1 b and 1 v.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - a03?\nAnswer: -a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6*l. Let v be (l + -1)\/(6 - 7). What is the lowest common multiple of v*6 - (-8 - -8) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -243 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/20592 and -23\/2178.\nAnswer: 226512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 52 = 6*s - 3*c, 3*s - c + 28 = 0. Let b = -4 - s. Suppose 0 = 5*y + f - 6, b*y + 0*f - 2*f = 2. Which is smaller: -0.2 or y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q + 23. Let i be v(0). Calculate the greatest common factor of i and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38688 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 598 = -163*o + 547, -4*t - 20*o + 10*o + 14*o = 24 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*w - 31*w + 20*w)*(w**2 + 3 - 3)*(0*w**2 - 3*w**2 + 4*w**2) + 7*w**5 - 3*w**3 + 3*w**3.\nAnswer: -53*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - d - 1. Let s(n) = 6*n**2 - 16*n + 5. Let f(y) = 5*g(y) - s(y). Let v be f(10). Solve 0 = x - v*x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388440?\nAnswer: 2, 3, 5, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h = -301*h + 14489722. Does 114 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*c + 603*c = 12325 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2681597 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 511287757 and -22484?\nAnswer: 511310241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**4\/4 + 2*x**3\/3 - 3*x**2\/2 - 2*x - 417. Let t(g) = -3*g**3 - 5*g**2 + 7*g + 5. Give -5*n(f) - 2*t(f).\nAnswer: f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + sqrt(30))*4)\/(sqrt(96) - ((sqrt(96) - sqrt(96)*2) + sqrt(96) - sqrt(96)) - sqrt(96)) - (-2*sqrt(40)\/sqrt(2))\/(sqrt(16)*1).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -2)*(-6 - -3). Suppose -7*z - 16 = -i*z. Let o = 1 + 0. Sort z, o, 2.\nAnswer: z, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 13. Let t be k(-13). Suppose 0 = 3*m - 2*o - 21, 2*m + t*m + 3*o - 14 = 0. Which is the biggest value? (a) m (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 2*n + 9*l + 146, 3*n + 10*l + 16 = 17*l - 9*l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.256965 rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17330, -17336, -17334, -17318, -17282, -17220, -17126?\nAnswer: -16994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of (2\/(-4))\/(7\/(-210))*133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70233813 less than 2?\nAnswer: 70233815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 65*i + 678. Let d be k(-52). Solve -2*t = 6 - 2, 0 = v - d*t - 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87333685*x - 87333685*x + 2*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -13) + (-17 - 9 - -11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let v be r(4). Let o be (-682)\/v + (-9)\/6. Suppose 5*q - 16 = o. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, l: 9}. Give prob of sequence ldld.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2765*n**2 + 2033 - 708*n**2 - 2431 - 9800 + 4128*n**2 with respect to n.\nAnswer: 12370*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -17. Which is the closest to 1? (a) 1\/3 (b) -4 (c) -1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 34. What is the third biggest value in -2\/15, l, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 679372474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 7. Let b be a(9). Suppose -80*m + 1172 = 4*t - 84*m, -5*m = -4*t + 1169. Calculate the highest common factor of b and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**3 + n**3 - 2*n**3 + 4 - 2*n**3 - 4 + (0 - 5 + 3)*(-3*n - 2*n**3 + 3*n) - 6*n**3 + 13*n**3 - n**3 + (10 - 22*n - 10)*(1 - 1 + 3*n**2).\nAnswer: -52*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 - 1)*(o**2 - 3 + 3) + (-8*o + 5 - 6*o + 12*o)*(o - o + 2*o) to r*o + s*o**2 + a and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4243905, -4243908, -4243911, -4243914?\n\"Answer: -3*y - 4243902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**4*v + 5489*g**3*v**3 + 158*g**2*v**3 - 10*g**2*v**2 + g*v + 3*g wrt g.\nAnswer: 48*g*v + 32934*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -16.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 51855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -232133 (base 4) to base 11\nAnswer: -2265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 10 - 1 + 1)*(24221*d**5 + 252*d**4 + 415*d**4 - 24218*d**5).\nAnswer: -48*d**5 - 10672*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(192) + 5 + sqrt(192)*2 - (2 + sqrt(192)*-2)) + -3.\nAnswer: 3 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5980\/(-40))\/(2236\/344)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 5*y**2 - 2*y - 44. Let m be k(-6). Solve -2*w - 3*w - m*u + 5 = 0, -5 = 10*w + 5*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 3:14 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 782664, 782666, 782668, 782670, 782672?\nAnswer: 782674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 12:31 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + (-2 - -3) - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 881018831 to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 39. Let o be (-8)\/m*(-62)\/4. Suppose 1 + 1 + o*h - 25*h - 7 - h**2 = 0. Calculate h.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -5 (c) -66343 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71083147, -142166313, -213249481, -284332651?\nAnswer: -355415823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 2*j**2 + 12*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 0 - 1\/15*k**6 + 12*k**2 + 0*k + 0*k**4 + 0*k**3 + 1\/6*k**5. What is the third derivative of t(n) wrt n?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 10*v**7\/7 + 2*v**3\/3 - 3*v + 10. Find the third derivative of i(h) wrt h.\nAnswer: 1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/2)\/(-2)*(-11)\/990. Let p(j) be the third derivative of 24*j**2 + y*j**5 + 0 + 8\/9*j**3 + 0*j - 1\/6*j**4. What is s in p(s) = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 15503903.\nAnswer: -2\/15503903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 + -0.02. Suppose -93*m = -95*m + 42. Suppose m*r + 15 = 18*r. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1\/4, 2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15863 and 287722?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1730*y**3 - 931*y**3 - 999*y**3.\nAnswer: -200*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 143?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1266, -1315, -1368, -1419, -1462, -1491?\n\"Answer: a**3 - 8*a**2 - 32*a - 1227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -14, -5, 5 in ascending order.\nAnswer: -14, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1023734 + 0.0276.\nAnswer: 1023734.0276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 1218?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/6 and -44\/719.\nAnswer: 4314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1697 + 1114. Let q = y + 4693\/8. Find the common denominator of q and (-60)\/110 + -1 + 3.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 + 19*r**3 - 5*r**3 - r**3.\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 309673\/(-41844) - 16\/88. Let k be (6\/55)\/((-1268)\/(-10)). Let w = k - t. Calculate the common denominator of w and -31\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.455 + -1.545. Which is the nearest to -1\/9? (a) m (b) 1\/6 (c) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 1 = -5*c + 11, -q - c = -2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/6 - 162694*n\/3 + 325387\/6.\nAnswer: (n - 325387)*(n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41491, 166612, 375129, 667042, 1042351?\n\"Answer: 41698*v**2 + 27*v - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1, 218, 1\/4, 6\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:37 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -10*h - 382*h**2 - 15*h + 2*h**3 + 361*h**2 - h**3 + 66. Let c be i(22). Solve 10 = -3*n + 5*w - 15, -3*w + 6 = c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -2. Let u = -9.96 - 0.04. Let q = g - u. Which is greater: -0.2 or q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 1. Let n(d) = -4*d - 3. Let u = 5 + -4. Let r(a) = u*n(a) + 3*x(a). Let t(j) = j. Give 4*r(b) + t(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 + (-13)\/(-3). Suppose 20 = 3*h - 0*h - 4*x, 0 = h - x - g. Solve -b = y - 1 + 5, h = 4*y - 4*b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + 266 - 2*z**2 + 2*z**3 - 4*z**3 - 269 + z - 3*z**4 to r*z**3 + o + t*z**4 + u*z + k*z**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 930 or 1196?\nAnswer: 930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.75 and 0.67622892.\nAnswer: -5.07377108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 5\/6, -1, 328, 3\/2, -0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/3*(-42)\/32 and 121\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + 5 + (sqrt(76) + 1*sqrt(76))*5 + 5))**2 + 2.\nAnswer: 480*sqrt(19) + 7746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/63 and -48\/119.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667540089?\nAnswer: 3, 109, 226823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-78)\/(-6))\/39).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -795611 = -2*d + 5*l, -382497 = -d - 4*l + 15289. Suppose -42798 + d = -5*a. What is a rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20404 + 4205405?\nAnswer: 4145001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1208 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 118230, 472980, 1064238, 1892010, 2956302, 4257120?\n\"Answer: w**3 + 118248*w**2 - w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1274 < -14023\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -81, -5, -3, -1, 7?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, b: 1, z: 1}. Give prob of sequence bm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 23 = 58. Suppose -z + 4*z = 0. Suppose 6 = 2*j - 2*n, -n = -z*n. Calculate the highest common divisor of p and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 918*p**2 - 2*p + 3. Is u(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 + 272*m + 6*m**2 - 47 - 58 + 214 - 50 to x + g*m + p*m**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = -76*k + 924 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000068206 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(((-3)\/(-24))\/(1 - (-40)\/(-64))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-588)\/(-7)))\/(3\/8)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 974460 divided by -8940?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2. Suppose -r + 1 - 6 = 0. Let o(t) = -3*t - 6. Let w(d) = 2*d + 5. Let y(g) = r*o(g) - 6*w(g). Give n(y(q)).\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*p = -24, 0*i = i + 5*p - 19. Solve w - 4*w = -i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -2, 174 in descending order.\nAnswer: 174, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 19. What is the smallest common multiple of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-23 - -9 - -20).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43677 and 0.115.\nAnswer: 5022.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1090738*g - 4 + 0 - 2 - 1090733*g + 6.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1871 divide 65243641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 10. Let l be h(-12). Suppose l = 2*z + 4. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/5)\/g*g)**9)**(-4)*((g*g**(-2\/11))\/g**(-1\/8))**(22\/7) assuming g is positive.\nAnswer: g**(1423\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, v: 10}. What is prob of sequence vv?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 36, 4, 3 in ascending order.\nAnswer: 3, 4, 36, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 2*m + 1. Give i(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.028, 0.2, 43 in increasing order.\nAnswer: -0.028, 0.2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 27, 88, 203, 390?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121 + 107 - 137)*(-2*a - a**2 + 2*a) + (-2*a - a + a)*(4 + a + 11 - 8).\nAnswer: -93*a**2 - 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 21*p**2 + 4*p - 4. Let k(d) = -20*d**2 - 3*d + 3. Let r(i) = -4*k(i) - 3*l(i). Let z(h) = -2*h. What is r(z(w))?\nAnswer: 68*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1374888 millennia?\nAnswer: 13.74888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12 + -10 + 4 + 10\/60.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(475) + sqrt(475)*-2 + 1)**2 - (-4*5*(1 + sqrt(475) - sqrt(475)))**2.\nAnswer: -30*sqrt(19) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**3 + z**2 - z + 1. What is h(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6281 or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 - 26*o - 5. Determine z(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*sqrt(20))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (2 + -4)) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from {n: 1, s: 1, l: 5, v: 10}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61376 divided by 8768.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (14 + -4) - (-47 - 2 - -43).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 2*t**2 + 16*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2988 + 384 = 278*t + 94*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 17*o + 159. Let f(p) = -5*p + 2. Give -4*f(z) - t(z).\nAnswer: 3*z - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a**5 - 1820816*a**4 + 13657486*a**3 - 24697898*a**2 + 9901972*a - 1138160 = 0.\nAnswer: -56908, 1\/4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 - -79 - ((2 - -1) + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(((-2)\/4)\/(8\/16)). Suppose 2*x - 2 = -w - x, l*w + 4*x - 32 = 0. Solve w*t - 4*t = -20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 290, -5, 0, 4 in decreasing order.\nAnswer: 290, 27, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -41. Let i = 7 + g. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -786*j = -915*j - 1048*j - 1177 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4933709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 11*h - 95. Give l(10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*451720.\nAnswer: 13099880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160760\/19293 - -5\/6431. Solve -n*q**2 + 59\/6*q**4 + 28\/3*q + 14*q**5 - 3\/2 - 70\/3*q**3 = 0.\nAnswer: -9\/7, -1, 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13 - 2\/13*k + 2\/13*k**3 - 2\/13*k**2.\nAnswer: 2*(k - 1)**2*(k + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/10)\/((-15)\/(-150)). Sort 4, 3\/5, s in increasing order.\nAnswer: s, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 938*x + 226116 = -1636*x + 290*x for x.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d = -120. Let y = d - 15. Solve -y = -0*j - 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-18))\/1)\/(93\/7626*-41).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12123 (base 5) to base 16.\nAnswer: -391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q**2 + 9*q**2 - 8*q**2 - 13*q**2. Let u(y) be the third derivative of y**4\/24 + 3*y**2. What is s(u(b))?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 at least 8\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 7*j + 219. What is x(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6010 by 5.\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -77 and 15?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 442792, 442918, 443046, 443176?\n\"Answer: x**2 + 123*x + 442668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/5 (b) 71 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-seven fifths of a tonne?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203012112203 - 13?\nAnswer: -203012112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**5 - 4*m**5 - 2*m**5 + (-45*m**4 + 320*m**4 + 4*m**4)*(0*m - m + 0*m).\nAnswer: -280*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 298860.25556 + -298869. Let j = x - 59.25582. Let n = j - -68. Round n to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 231 + 1163*b + b**2 - 1172*b - 210. Give i(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, -2, 47.4, 2 in descending order.\nAnswer: 47.4, 2, 1.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -28\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343, 582, 821, 1060?\nAnswer: 1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50067 at most 50066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 26*o + 9806. Let w(k) = -16*k - 6537. Determine -5*b(j) - 8*w(j).\nAnswer: -2*j + 3266","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**5 + f**3 - f**2 - f - 1. Let l(j) = -6*j**5 + 6*j**4 - 3*j**3 - 3*j**2 + 6*j + 3. Let s(n) = 3*c(n) + l(n). Factor s(i).\nAnswer: -3*i*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 0)*82\/(-6). Let h be (((-315)\/14)\/45)\/(5\/(-406 - 4)). Calculate the highest common factor of h and y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1774*p**2 + 2. Let x(a) = 201*a. What is x(z(k))?\nAnswer: -356574*k**2 + 402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 1. Let z be g(-3). Solve 2*v - 2*n = z, -4*v + 4 = 3*n - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -46 (b) -0.27 (c) 4 (d) 9 (e) -30 (f) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k = -2*u + 18, 0 = 4*k + 4. Let p = 32 + u. List the prime factors of p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*a + 1215 + 3156 = 0, -4*n = 4*a + 3492. Let x be (2\/(-1))\/(n\/158). Let b = x - 2\/73. Which is smaller: b or 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfnnfbnbfnbnn. What is prob of picking 3 b?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 8*d**2 + 4. Let q be r(8). Suppose 3*v + q*w + w - 34 = 0, -2*v - 4*w + 24 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p + 4*q = -4, p - q - 1 = 0. Let s(d) = d**2 + 5*d + 2. Let w be s(-5). Solve p = f - w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52868161302 minus -0.87?\nAnswer: -52868161301.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -1\/3, -2\/3, 0.2, -2\/887.\nAnswer: -29, -2\/3, -1\/3, -2\/887, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 124*k**2 - k + 53129. What is the ten thousands digit of r(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13537346?\nAnswer: 2, 43, 157411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/836*22*-3*(12\/9)\/4.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (11\/(-4))\/(-3 - 742\/(-248))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134478 divided by 83?\nAnswer: 134478\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-63)\/9 - -20 - -5662.\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03889, 0.5, -1\/10 in descending order.\nAnswer: 0.5, -0.03889, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -36457 (base 13) in base 14?\nAnswer: -28433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1271 - -3377. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (5 - -4 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29583832963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147 (base 14) to base 13.\nAnswer: -16c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 26*a - 245. Suppose -i + 100 = -a. Suppose -m - i = -2*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 362\/5 + -4057\/55. Find the common denominator of a and -34\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -508 divided by -25598\nAnswer: 254\/12799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 4 (c) 2\/17 (d) 230 (e) 35\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 191 = -853. Let b = i + 119. What is the highest common divisor of b and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h**3 - 6*h**2 - 3*h - 10. Let v be p(-4). Suppose -a - f = -227, a - 4*f + 48 = v. What are the prime factors of a?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -42*r - 22. What are the prime factors of s(-3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1109374964 to the nearest integer?\nAnswer: 33307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 4*p**2 - 5*p + 21. Let u be k(0). Let a = u + -16. Let t(j) = j**2 - 8*j + 11. Give t(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59? (a) 2 (b) 1\/2 (c) 2\/1109 (d) 22 (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5799*z**2 + 11597*z**2 - 5814*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1554 - -2.8446. Let p = -1.1 + 6.1. What is the nearest to 0.1 in s, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 251\/18, -10.7, 0.5 in ascending order.\nAnswer: -10.7, 0.5, 251\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 8) in base 9?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -223 - -213.06. Let x = -13.94 - q. Put 0, x, 11\/4 in ascending order.\nAnswer: x, 0, 11\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15334 - -15390. Calculate the remainder when 338 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2915 + -2913. Which is the nearest to j? (a) -3\/7 (b) 28 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -24*x**2 + 7*x. Let v(w) = -12*w**2 + 4*w. Let g be (6 - (-198)\/(-12))*(-18)\/(-27). Give g*v(n) + 4*c(n).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 4*f + 2*f - 12 as c + s*f and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/((w**(-2\/3)*w*w*w*w)\/w*w))*(w*w**6*w)\/w)\/((w*(w*w**(2\/3)*w)\/w)\/w*w*w**5)*w*w\/w**6*w*w*w**(4\/5)*(w**(2\/5)*w)**(-1\/17) assuming w is positive.\nAnswer: w**(98\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 10*o. Let b = 97 + 284. Suppose o = -f + 4*f - b. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*j = 79, 3*o + 6*j - 261 = 3*j. List the prime factors of o.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 82*y + 602 = -84*y, -y + 799 = 4*k. Calculate the lowest common multiple of k and 128.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 2, 2\/13, -209?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t + 6 = -33*t. Suppose -3*s + 26 = -4*l - 38, 3 = -t*l. What is the second derivative of -35*a**3 - 13*a + 10*a**3 - s*a**3 - 5*a wrt a?\nAnswer: -270*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 11*o**2. Let h(a) = 4*a + 216. Give h(n(k)).\nAnswer: 44*k**2 + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 716493.3ml?\nAnswer: 716.4933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43, 75, 121, 187, 279, 403, 565, 771?\n\"Answer: q**3 + q**2 + 22*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u = -9*u - 5*u + 180 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.53.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 67 + 23757*o - 63 - 23761*o. Let c(s) = -10 + 19 - s - 7*s. Give -3*c(v) + 7*j(v).\nAnswer: -4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*g + 56. Let q(t) = 4*t**2 - 162*t + 108. Let u be q(40). Calculate the highest common divisor of u and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(544)*3)\/(-3*sqrt(128)*1).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 0*x - 5, 4*b = 5*x + 13. Differentiate -40*c**2 - 2*c + 78*c**2 - 36*c**b + 79 wrt c.\nAnswer: 4*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 548\/4 - 4. Let k = n + -53. Let x = k + 287. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*r**3 - 61*r**3 + 51*r**2 - 30*r**2.\nAnswer: -r**3 + 21*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53.97 - 53. Let t = 0.32 - s. Let h = t + 0.15. Which is the biggest value? (a) h (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 110, 106, 100, 92, 82, 70?\n\"Answer: -t**2 - t + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -2)\/(1 + -2). Suppose -3*w + h*w = 3. Let d(i) be the first derivative of i**4 - i**3\/3 + i + 7. Determine d(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3220209\/(10 + -6 - -48). Let q = -61929 + g. Find the common denominator of q and 109\/24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/8 - 7*v**3 + v**2\/2 + 28*v.\nAnswer: -v*(v - 2)*(v + 2)*(v + 56)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0 - c - 5 + 0. Let p(z) = -1. Calculate 2*l(h) - 14*p(h).\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834175 is divided by 196.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -15 - -4) + 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (1 + -5)) + (5 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 32*f + 27. Let b be m(-15). Sort 2, -4, -0.09, b in descending order.\nAnswer: 2, -0.09, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**3 - s**2. Let q be j(-1). Solve 4*g - x = 2*x + 8, 0 = -5*g - q*x + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225 by -5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400304801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/280)\/((-1)\/6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*o. Suppose 0 = -3*n - 5*v + 622 + 192, o = -5*n - 5*v + 1370. Let f be (-3)\/(-12) + n\/8. What is the highest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g + 118 = 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 6) to base 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1974\/(-470))\/(6\/20). What is the units digit of (2\/(-10))\/(r\/111790)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 7*o. Let n be b(6). Suppose 2*q = -7*r + 2*r - 96, 2*r = -2*q - 36. Let m = n - r. What is the smallest common multiple of m and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 33*l - 34*l = -2, -2*i + 2*l = -4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9}. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3 + 5*l + 4 - 16*l + l. Calculate r(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(60)*2*-4)\/((sqrt(5) + sqrt(5)*1)*-6*5).\nAnswer: -8*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, g: 2, t: 2, d: 1, u: 4}. Give prob of sequence ucgu.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o + o + 3*o - 12*o**3 + 3 + o**4 - 1 as t*o**4 + z*o**3 + u + y*o + p*o**2 and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/12*(-45)\/50\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1053, 40925, -2 in descending order.\nAnswer: 40925, 1053, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 0, -5*j + 4*j = -2*b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - -1)\/(-4 - -2). Suppose -y*h + 1397 = x, 1397 = x - 2*h + h. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = k, 0 = -4*a - k - 3*k. Calculate the lowest common multiple of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/9 + 32*u**2\/9 - 76*u\/9 + 40\/9.\nAnswer: 4*(u - 1)**2*(u + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 6*x - 8. Let k be f(7). Sort -7, k, -5 in descending order.\nAnswer: k, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76065959 and 398?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/6 + 3091*v**2\/6 - 225620*v.\nAnswer: v*(v - 389)*(v + 3480)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -17*k**2\/2 + 832. Let u(n) = 37*n. What is h(u(f))?\nAnswer: -629*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 - 2 = 0. Suppose 0 = 4*n - y*a - 0 + 3, -4*n + 2*a = -2. What is the highest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-1)*r*r)\/(r**6\/r))**47)**(-2))**47 assuming r is positive.\nAnswer: r**17672","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(40\/(-59)) + 2 and (-1 - (-35)\/24)*2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 418898260.\nAnswer: 2, 5, 11, 43, 44281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 372*i**3 - 43*i**2 wrt i.\nAnswer: 2232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 704549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*d = 79 + 179 + 387 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-74944)\/(-7026))\/(12\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91635 and 1788.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 6*q**2 - 2*q - 4. Let c(a) = a**3 - 2*a**2 + 4*a + 1. Let p be c(3). Let w = 37 - p. What is the remainder when w is divided by y(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 6. Let c be q(-9). Suppose -c*o + 10 = 2*o. Factor 1\/4*x + 3\/2*x**3 + 1\/4*x**5 + 0 + x**4 + x**o.\nAnswer: x*(x + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 2*v**6\/3 - v**2\/2 - 2. What is the second derivative of m(r) wrt r?\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 237 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3904331.\nAnswer: 641, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -224.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*g + 23207, 0*g + 11581 = -2*t - 3*g. Let q = t - -52250\/9. What is the common denominator of -86*10\/4*2\/(-70) and q?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from maalmlmlmucmn. What is prob of sequence nllm?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 9:34 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 87*a**3 - 170*a**3 + 84*a**3 + 2 + 4*a**2. What is b(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16\/47 (b) -0.5 (c) 1\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 60612*u**3 - 44*u**2 - 30*u - 43420. Let s(g) = -129883*g**3 + 94*g**2 + 64*g + 93043. Let f(p) = 32*c(p) + 15*s(p). Differentiate f(z) wrt z.\nAnswer: -25983*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -1 - 1. Let x be 1*(o - -2 - -1). Let k be x + (-5)\/(15\/18). Let b(f) = 3*f + 5. Calculate b(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/100?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1734\/10 - (-10)\/(-25) is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.53 = 6\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549 = 6*y - 249. What are the prime factors of y?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**2 + 32*a + 65. What is the units digit of h(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*u - 1 = -4*c, 4*c = 2*u + 2. Suppose -c*a - 123 = -23. Let o = -29 - a. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 64\/(-1 - 3). Suppose g = -2*i + n, -i + g = 2*i - 10. What is the third derivative of -9*j**2 - 38 + 13*j**i + 38 wrt j?\nAnswer: 780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1150\/(-2) - (-7 + (5 - 1)). Let y = -312 - v. Is y a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence park when four letters picked without replacement from rakup?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -k - 2*k - 48, -8 = -4*f. Let v be 5*(4*-1 + 2). Let h = v - k. Solve -u = -5 + h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqihqqqhiiqqq. What is prob of sequence ii?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 5, 0, -3, -4, -3?\n\"Answer: c**2 - 10*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -54, -4, -3 in descending order.\nAnswer: 3, 2, -3, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13384433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/50*20\/9)\/(16\/1920*16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Let a(h) = h**2 + 4*h. Let n(k) = -100*k - 4 + 102*k + 4. Let c(q) = 3*q. Let w(v) = -3*c(v) + 4*n(v). Calculate y*a(l) + 10*w(l).\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, a: 1, e: 1, r: 8, k: 1, v: 1}. What is prob of picking 1 e and 1 v?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*x + 9, 0*v - 5*v - 14 = -4*x. Suppose 10*b - 2 = 8*b. Let i be (-8)\/10*(-45)\/6. Put b, i, v in ascending order.\nAnswer: v, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 11*o = 5 - 28, 16*d - 18*d + 2*o - 16 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmnpbsmssmsmnpm. Give prob of sequence smn.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.83 * -0.003.\nAnswer: 0.01149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.82 to one decimal place.\nAnswer: 101.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**3 + 0*t**4 - 4*t**4 + 2*t**2 + 3*t**4 + 2 - t**4 in the form r + o*t**3 + n*t**2 + b*t + q*t**4 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -296 and 24.\nAnswer: -7104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/(-21) + 6\/14. Suppose 4*y = -d*g + 391, y - 5*y - 5*g = -401. What is the remainder when y is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*u**2 + 1973648*u + 1 - 1973648*u in the form j*u**2 + q*u + r and give j.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -15 + (4496\/4)\/4. Sort -3, n, -0.5, -5 in descending order.\nAnswer: n, -0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-4 + 1 + 5 + -8 - 3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q + 164*q + 2159 + 49 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.13 (b) -4 (c) -104 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -108*j - 7*j**3 + 5*j**2 + 8*j**3 - 1 - 102*j + 211*j - 6*j**2. Let x(f) = 15*f**3 - f**2 + f - 1. What is 2*u(p) - x(p)?\nAnswer: -13*p**3 - p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80982, -646922, -2182788, -5173542, -10104146, -17459562?\nAnswer: -27724752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*w - 7230 = 1630*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(((-18)\/(-9))\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 3. Let m(g) = 0*g + 2*g - s - g + 9. Determine m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 b when four letters picked without replacement from {c: 4, e: 6, w: 1, b: 1, m: 3}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-6 - -9)) + -1 + 14 - (-11 - -73)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*r - 19255, 6413 = o - 17*r + 21*r. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -11*y - 9 + 9 - 14 - 6. Let k be m(-2). Solve -4*c - k*z + 7 = c, 4*c = -5*z + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-4122080.\nAnswer: -41220.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8875 is divided by 59.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 778*u**3 + 4826*u**2.\nAnswer: 4668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atppapfpfa. What is prob of sequence papp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-70)*-25 - (3 - -6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 942969169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/29? (a) -19 (b) 5\/4 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544543.\nAnswer: 7, 11, 13, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.4? (a) 8\/5 (b) 6 (c) 11\/171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4238133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + (-10 - -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*r = r - 6, 0 = -4*r - 12. Put j, -4, 3 in decreasing order.\nAnswer: 3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4339 + 4339. Which is smaller: a or 1\/10491?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/(-143) + 150\/22. Let t(f) = -f**2 + 6*f + 12. Let p be t(q). Suppose -p*i - 24 = 3*r, 9*r = 4*r - 5*i - 30. Let d(k) = 2*k - 4. What is d(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -99.4 and -39645.\nAnswer: 3940713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4302)\/(-8) - (-45)\/(-60). Suppose n = -3*y + 553, n - 2*n + q = -5*y. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-26))\/(21\/182). Solve -j + p + 5 = 0, w*p = -j - 15 - 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 177 - 117 = 0. Calculate the remainder when 40 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -4749947\nAnswer: -3\/4749947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 78106795 divided by 6?\nAnswer: 78106795\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -242139.\nAnswer: -242139.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -2)\/(2\/(-22)). Let d = 16 + l. Which is greater: 6 or d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2887.33 + -2773.9. Let o = -649 + 763. Let l = t - o. What is l rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-7) - (-4)\/14. Let g = 1.0235 - 0.0235. Which is the biggest value? (a) g (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -12 + 3 + 0 + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/434 and 37\/2401.\nAnswer: 148862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 553 + 549 - 278*c**3 - 1102.\nAnswer: -278*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - 4*u + 10276. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 - 0.01. Let t = -0.16 - 0.14. Which is the closest to f? (a) t (b) -2\/15 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200 times 0.4?\nAnswer: 4080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:58 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from jjjjjjjjjjjhjjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17 - 2024521854.\nAnswer: -2024521854.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = r - 18, 5*r + 20 = 3*r - 4*c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 310858.2 nanograms?\nAnswer: 0.0000000003108582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193577179 is divided by 1011?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3403 - -1.1403. Which is the second smallest value? (a) i (b) -2 (c) 0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12671 - -18178. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k, -13*k - 1524 = -3*w - 9*k. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1325 divided by 265.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 192621997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15205, 61116, 137657, 244828, 382629, 551060, 750121?\n\"Answer: 15315*t**2 - 34*t - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 348*n**2 + 100*n - 348. List the prime factors of z(4).\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*39\/(-2) - -2. Let u = 37 + i. Suppose -2*a - 2*a + 4*l + 372 = u, 3*a - 271 = l. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 106686, 106848, 107012, 107178, 107346, 107516?\n\"Answer: r**2 + 159*r + 106526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -367, -837, -1293, -1729, -2139, -2517?\nAnswer: -2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*q + 1\/8 - 1\/8*q**2 + 1\/8*q**3.\nAnswer: (q - 1)**2*(q + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((30\/4)\/3)\/(10\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321999 less than -5?\nAnswer: -322004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**3 + 2*o**2 - o - 2. Calculate c(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/(33\/1584*32)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 12528, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*(2 + 20\/15). Factor -20*c**2 - 52*c**4 + 40*c**2 - 5*c**m + 37*c**4.\nAnswer: -5*c**2*(c - 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 3:08 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20829655 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 - 4*d**3 + 2*d**3 + (19 + 47 - 30)*(0*d - 11*d**3 + d - 4*d**3).\nAnswer: -542*d**3 + 36*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5343763 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 12) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*n = 12, -2*k - 2*n = n - 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c + 75 = -0. Let j(z) = z**2 + 9*z + 50. What is the tens digit of j(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (317*h - 465*h - 388*h)*(0 + 1 + 1).\nAnswer: -1072*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 2*d + 0*d)*(-3 + 2 - 2) + (4 - 2 - 4)*(4*d - 3*d + 0*d) - 17*d + 6*d - 41*d.\nAnswer: -39*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 734728 (base 11) to base 5.\nAnswer: 300134411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762*z + 240 = 742*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-3)*7\/(-7)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4512 and 6486?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3 + 280*m**2 + 1094*m + 816 = 0. Calculate m.\nAnswer: -136, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t. Let k be p(-1). Let a = k + 10. Differentiate -i**2 - a + 0*i**2 + 4 wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118500000 = -6*u + 11*u. Round u to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b**4 - b**3 + 5*b**2 + b + 3. Let o = -1 - -2. Let y(w) = -2 + 4*w**2 - o - 4*w**4 + 5. Let i(p) = -2*h(p) + 3*y(p). Factor i(f).\nAnswer: -2*f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 4*f + 31*f**2.\nAnswer: 31*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35281862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a milligram in micrograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564500 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3 = -4*c + 2, 2*c = -3*q + 1. Suppose x + 0*x = n, -4*x = 2*n - 18. Find the third derivative of a**n - a**2 + 0*a**3 - 3*a**q wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 11*a**2 - 26*a - 17. Let d(c) = -4*c**2 + 9*c + 6. Let h(q) = 17*d(q) + 6*i(q). What is the second derivative of h(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*v**3 + 14728*v**2 + 11485236?\nAnswer: -84*v**2 + 29456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1152910714 rounded to four decimal places?\nAnswer: 0.1153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 18*i + 122. Let g be r(-6). Suppose -g*o = -20*o + 4968. What is the greatest common factor of o and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -222, 1.\nAnswer: -222, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -23. Solve -3*q + q - 5*g = 3, 3*q + r*g = -9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 2. Let m = -107520 - -537606\/5. What is the smallest value in m, -4\/9, c?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2880 and 114336.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m**2 - 289*m + 75. Suppose -h + 10 = h. What is the lowest common multiple of h and q(32)?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5368 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 t when three letters picked without replacement from {v: 5, s: 2, t: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 8\/3, -419, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h + 3. Let a(m) = -9*m + 5. Determine -2*a(g) + 5*t(g).\nAnswer: -2*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - o**2 - o + 11. Let b be v(0). Suppose 0 = -103*g - 388*g + 4910. Solve -g*s + b = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -3\/4 (b) -1\/2 (c) 128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 + -97. Suppose -4*d = -3*z + 2, -d + 4*d - 4 = 5*z. Let l(u) = u**3 + 2*u**2. Let f(i) = 0*i**2 + 0*i**2 - 2*i**2. Give d*l(r) + p*f(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6060507.\nAnswer: 3, 29, 69661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2210301?\nAnswer: 2210302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3786 - 3784 + d**2 + 7575 - d**4 - 14*d**3 + 5*d**4 to g*d**3 + f*d**2 + t*d**4 + a + q*d and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 431948592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {a: 1, x: 1, h: 9, w: 2, j: 1, b: 6}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5517.612ml in litres?\nAnswer: 5.517612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/2 (b) 3\/8 (c) -48 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -672 divided by 13?\nAnswer: -672\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1090688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -8\/7, 0.4, 2\/51, 3?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 + 2*p - 1. Suppose -3*m = 0, -3*a - 2*m - 12 - 3 = 0. Let i = 6 + a. Let c be b(i). Solve 0 = -2*x - c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-23 + 36 + 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(245\/(-40))*273\/156?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**5 - 200*y**4 + 1235*y**3 - 2700*y**2 + 1980*y = 0 for y.\nAnswer: 0, 2, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 99*d + 1. Let n be i(1). Let x be (1 + 39\/(-12) - (-323)\/136)*114*7. Is n greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6820930?\nAnswer: 2, 5, 31, 22003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 0 - 2 + 2*c**2 + 2. Let q(x) = x. What is q(h(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -107*z + 15. Let r be o(0). Calculate the greatest common factor of 615 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826907*b + 826903*b + 0*j = 3*j + 31, 30*b + j = 3*b - 113 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75309*g**2 - 2*g + 105284.\nAnswer: -150618*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 x when three letters picked without replacement from bqpxb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**2 + 41979 - 41979.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 7*j - 6. Let s be h(8). Suppose m + 3 = -s*m. Let l = 3 + -4. Is m >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 6. Suppose 15 = -2*x + v. What are the prime factors of 0 - 1*x*1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 253 and 10644469.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 8*s**2 + 13. Let m be z(8). Let n be (-2 + -1)\/(-3)*5. What is the nearest to 0.1 in n, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 16*t - 16*t.\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*t - 44, -f + 0*f + 48 = t. Let k(b) = -57 - f - b + 143 - 52. Let i be k(-17). Solve z = -i*c - 3, -5 = 3*c + 2*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 5*c + 15*c - 7*c - 6*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**2 - 144*b - 272 = 0. What is b?\nAnswer: -34, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2330*d + 4339. Is g(-86) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 9*w - 28. Let k be l(3). Let y be (-4 - -9)\/(((-1)\/(-3))\/k). Let h = y - -67. Calculate the remainder when 153 is divided by h.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -14*h**2 + 25*h**2 - 8*h**2. Let p(x) = -2*x. Calculate p(r(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59514, -238101, -535744, -952437, -1488174, -2142949?\n\"Answer: u**3 - 59534*u**2 + 8*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 3*h - 1, 103*h + 2 = 105*h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132783603.\nAnswer: 3, 53, 835117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 11. Determine k(9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsgksgsskja. What is prob of sequence gj?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -785046*t**4 + 6*t - 15811?\nAnswer: -9420552*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 1, t: 1, s: 2, o: 1, i: 2}. Give prob of picking 2 a and 1 i.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5701.2011834 less than -2?\nAnswer: 5699.2011834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 25882505.692295?\nAnswer: -25882500.692295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -263701 + 519188. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289789124?\nAnswer: 2, 971, 74611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/60 - 5*s**4\/24 - 11*s**3\/3 - 6*s**2 - 2. Let k be g(9). Let y(c) = -c**2 + 15*c - 1. Determine y(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -7*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + h = 3*c + 200, h = c - 34. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**5\/120 - o**4\/24 + 16*o**3\/3 + o**2 + 156*o. Let s(n) be the second derivative of i(n). Calculate s(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 2*y + 2*y)*(-1 - 2 - 3) + (0 + 0 - 4)*(y - 85 + 85) + (2*y + 0*y - y)*(0 + 0 - 3) as f*y + d and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -311200 (base 5) to base 14\nAnswer: -39cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 442?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5356 * 5\nAnswer: -26780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -28. Suppose n*s + 5 - 26 = 0. Suppose -4*j - 32800006 = -s*b, 12500398 = -5*j + 4*b - 28499610. What is j rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 5790306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 216547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36391487941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 26. Suppose -3*n + 5 = -43. Are n and x nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044 divided by -36?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 5*y - 5. Let c(s) = -s**2 + 2*s + 2. Let j(d) = -5*c(d) - 2*t(d). Let m(f) be the second derivative of f**4\/12 + f. Determine m(j(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r + 12*r - 2*r**4)*(8*r - 4*r + r).\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 12:32 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23049091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -19*z - 6. Let n(d) = 9*d + 3. Let g(y) = -4*l(y) - 9*n(y). Let f(i) = -i**2. Calculate g(f(v)).\nAnswer: 5*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-901)\/476 - -2)*((-2352)\/(-8190) - (-2)\/(-13))?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -574 + 2*(-5 + 6). Calculate the common denominator of 0 + -1*y\/(-24) and (-15)\/(-24)*(-9 - 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acacdawpwadwccaawwc. Give prob of sequence wc.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 8:35 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 10*c**2 + 21*c + 20. Let m(r) = -r**2 - 28*r - 90. Let d be m(-24). Let l be y(d). Solve -3*s - s = 5*x + 10, l*s = -4*x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*q - 6*q = 1702, 0 = -5*q + 10. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -232*t**2 - 696*t. Determine a(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133732274?\nAnswer: 2, 13, 269, 19121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 475*k**2 - 793?\nAnswer: 950*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/19493599 and -13\/153839.\nAnswer: 136455193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2695.8 - -2696.1. What is the closest to r in 0.13, -0.6, -4, -1\/3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.37 + -0.03. Let o = 0 + g. Let d be (-43)\/(-28) - (-2)\/(-7). Sort 2\/9, o, d in ascending order.\nAnswer: o, 2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -208 - -234. Suppose 0 = b*f - 23*f - 195. What is the remainder when f is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73324 and 736.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p. Let r = -4 - -10. Let s(n) = -7*n**2 + 6*n. Let w(q) = -7*q**2 + 7*q. Let m(i) = r*w(i) - 7*s(i). Calculate d(m(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45705, -45698, -45687, -45672, -45653, -45630?\nAnswer: -45603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = -15. What is the units digit of (m\/2)\/((216\/(-3760))\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, q: 7, o: 5}. What is prob of sequence qq?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.058 + -1470421\nAnswer: -1470420.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7349944, -14699884, -22049824, -29399764, -36749704, -44099644?\n\"Answer: -7349940*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25091941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from hdhhhhdhhh?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12983*f - 1187*f**5 - 12983*f - 1395*f**2 wrt f.\nAnswer: -71220*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*p - 243*p + q = -488*p + 55, 4*p + q = 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25470803?\nAnswer: 269, 94687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(-52)\/936*(-2)\/(-80).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -5, -1808, -4, -2, 1\/42, 0.5?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - f - 10*f**2 + 6*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.114 * 271\nAnswer: -30.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (6 - 1) - (32 + -3 + -21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -0.13841501\nAnswer: -2.86158499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7419409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**3 + 54. Let s(v) = 22*v**3 - v + 216. Calculate 2*s(g) - 9*z(g).\nAnswer: -g**3 - 2*g - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**3\/3 - 167*r**2 + 27889*r + 1091. What is k in w(k) = 0?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5 + 10 = 0. Let i(w) = -w + 16. Let b be i(11). Suppose -b*l + 4 - 19 = 0. What is the third smallest value in l, 3\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8505)\/22113)\/((-12)\/26).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -909\/4055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgnngofgiin. Give prob of picking 1 o, 1 l, and 1 i.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 23. Suppose 5*j - 5 - 5 = c. Suppose 0*v - 8 = -j*v. Solve 5*n = -6*k + k + 15, -19 = -v*k + 3*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voo when three letters picked without replacement from {v: 6, o: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 994 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32437.08646 rounded to the nearest ten?\nAnswer: -32440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 17 = -f - j, -4*j = 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3532 (base 6) to base 13.\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 601690231?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327, -599, -855, -1089, -1295, -1467, -1599?\nAnswer: -1685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4767355?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - 4*c**2 + 7*c + 3. What is r(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 1:23 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8ad (base 15) in base 11?\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 302.85 - 300.45. Which is the third biggest value? (a) 5 (b) m (c) 4 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 6 + (-5 - -4) + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 1:41 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 - 8416534*y - 25249608.\nAnswer: 2*(y - 12624804)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/3))**(26\/3))**(-48) assuming z is positive.\nAnswer: z**(-416\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.467 and -723.9.\nAnswer: -722.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/(-80))\/((-7)\/(-4)) + (-87)\/6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 5*y - 2. Let j be g(-2). Let o be j\/(-24) - (-314)\/12. Let k = -3 + o. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 14. Let d(i) = i**2 - 6*i - 1. Let u be d(m). Let o = 1 - u. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 - (118 - (-133 + 119)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/30)\/(28\/105). What is the nearest to 1\/3 in 0.1, -10, i, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*t**3 + 28*t**2 = 0.\nAnswer: -28\/61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - -9*(-66)\/(-18)) + -6. Solve -14*l - 68 = -h*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115668465 divided by 55.\nAnswer: 2103063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 take away 0.05?\nAnswer: 243.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*r - 14803*r - 9067*r - 3364*r.\nAnswer: -27678*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4411*g = 192089 + 434273 for g.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -190465 (base 10) to base 16\nAnswer: -2e801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*5*((-187)\/(-33))\/17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-4\/7)\/f)\/(f\/((f\/f**(-1\/2))\/f)*f))**(1\/12))**(-19))**(10\/7) assuming f is positive.\nAnswer: f**(4085\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 1113.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1. Let q(v) = -2*v**3 + 40*v**2 + 40*v + 10. Let z be q(21). Let t be (-1)\/3 + z\/(-24). Let m(k) = -3*k + 2. Give t*m(w) + 3*o(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -113996, -113963, -113930, -113897, -113864, -113831?\n\"Answer: 33*u - 114029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/5776 and 85\/2841792?\nAnswer: 2841792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/6757552 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 7. Let y = -9 - -39. What is the highest common divisor of y and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m. Suppose 0 = 3*r + 13 - 4. Calculate the remainder when 59 is divided by x(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-978)\/(-1141)*(-105)\/(-3)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 16*c + 2. Let f be d(-8). Solve 0 + 0*p**f + 2\/5*p**3 + 0*p = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 218*w**2. Let k(r) = -108133*r**2. What is k(c(d))?\nAnswer: -5138912692*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13038 by -159.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p*u*v**2 - 89*p*v - 7*u**2*v**2 - 15*u**2 - 2*v**2 - 3*v wrt u.\nAnswer: p*v**2 - 14*u*v**2 - 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-176)\/(-468) + 0)*45\/(-6). Let r = o + 28\/13. Put 1\/5, r, -5, -0.4 in increasing order.\nAnswer: -5, r, -0.4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*v + 213453 - 210974 = 0 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -219697?\nAnswer: -219697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90598180 + -211093754859\/2330. Let h = 1\/932 + s. Find the common denominator of -19\/12 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 4744.\nAnswer: 52184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -9*x**4\/4 + 3215*x**3\/2 - 1071*x**2 - 107*x. Suppose d(g) = 0. What is g?\nAnswer: 2\/9, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 241331773 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-85)\/((-240975)\/588) + 1 + 58\/(-54)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 12307 = 7*p - 10*p, 5*b = -4*p - 16408. Let v = 6430 + p. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 30*v**2 - 26*v + 22. What is the units digit of n(37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 + x**2 + 2*x. Let s(m) = -7*m**3 + 456*m**2 - 8*m. Give -3*j(p) - s(p).\nAnswer: -2*p**3 - 459*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**5\/30 + r**4\/4 - 9*r**2. Find the second derivative of t(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 - 3. Let l(q) = q**3 - 13*q**2 + 2*q - 10. Let w be l(11). Let v be ((-8)\/w)\/((-10)\/25). Which is the third smallest value? (a) k (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 8*q**2 - 15. Let k be z(-8). Let i be ((-270)\/k)\/((-6)\/(-4)). What is the units digit of ((-12)\/(-9))\/(i\/378)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 0, -6.\nAnswer: -26, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 49011.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 31195*y.\nAnswer: -5*y*(y + 6239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.98 + -0.02. What is the second smallest value in g, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((-4)\/(-12) + (-2)\/(-3)). Suppose v = 6*l - 17*l + 22. Solve f + 21 = 6*f - 4*k, -2*f = l*k - 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 7 = 2*t, 24*x + 50 = 4*t + 26*x. Solve 5*j - 2 = -3*z + t, 1 = -3*z + 2*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*r - 6*r + 6*r + (3*r - 12*r + 0*r)*(0 + 3 - 1) to x + h*r and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 56*l**2 + 3*l. Does 3 divide s(56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 34. Sort w, -4, 4.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3123123221 (base 4) to base 9.\nAnswer: 1618818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2\/3 - 31395*o + 188366\/3 = 0 for o.\nAnswer: 2, 94183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2866373 times -3\nAnswer: -8599119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 4:42 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142\/(-2 + 1 + 2) is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 1. Let b(u) = -u. Determine -6*b(a) + 5*m(a).\nAnswer: a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -1236*w + 1232*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/18)\/((-317)\/((-3395070)\/(-340)))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 + 133. Find p such that -2\/5*p - 8\/5*p**3 - 2*p**2 + g = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-15)\/(-4))\/5)\/((-4)\/(-176)). Is 83171\/j - 4\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 0, 3, -1\/8, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125052 and 2091.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3*r + 0*r)*(3 - 3 - 2*r**2)*(-4 + 22713*r - 11307*r - 11287*r).\nAnswer: -238*r**4 + 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41\/3 - 14. Let i be 2052\/25308 + 212\/1036. Let c = 673\/7 + -96. What is the closest to c in g, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 15*o + 10 = g, 2*g + 16 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*3\/315*-2*1*(-27)\/(-48).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -135 - -137. Let c(r) = -40*r**2 + 17*r**2 + 24*r**t. Let s(q) be the first derivative of -4*q**3\/3 + 1. What is c(s(a))?\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2370, 4773, 7176?\nAnswer: 9579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 462591799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 5:04 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + c + c)*(-c + 0*c - c)*(-20336*c + 20336*c - 33*c**2 + 9104*c**2).\nAnswer: 18142*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 917644578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -145, -575, -1293, -2299, -3593, -5175?\nAnswer: -7045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5287115429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4\/3 + 2*v**3 - 2*v**2 - 14*v\/3 + 4 = 0. Calculate v.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13.3 in 3, -2\/29, -2, -0.6, -0.15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -462.518139 to the nearest ten.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -603, -599, -591, -579, -563, -543?\n\"Answer: 2*r**2 - 2*r - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 11:36 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) 57 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100675631, 100675634, 100675639, 100675646, 100675655?\nAnswer: 100675666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3601877744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11603\/6 + 1924. Calculate the common denominator of f and -23\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31818 = -13*y - 32065 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 - 10\/4. Let i = -4 - p. Let r be (-1)\/2*(i - -1). Solve -2*n - 3*j - 14 = r, -n + 2 = -0*n - 3*j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000214908 rounded to 7 dps?\nAnswer: -0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 9*u - 3*g, 3*u - 5*g = 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (55 - 86 - -53) + 24\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 8. Suppose -j*r - r + 12 = 0. Suppose 4*o = 4 + r. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 417 - 19*k - 417 + (-2 - k + 2)*(4 + 1 - 3) + (-2 + 4 - 4)*(-2*k + 4*k + 0*k) - 5*k + 2*k + 2*k + 3*k - k + k + (2 + 0 + 0)*(4*k + 0*k - k).\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4333 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 17711.\nAnswer: -17710.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -459\/2 + 203. Let o(s) = -10*s - 80. Let u be o(-12). What is the common denominator of ((-5)\/u)\/(10\/296) and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4289 - -4339. Solve -200 = 30*q - d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.381 times 840306\nAnswer: 320156.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3284857 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3\/8 - 87*t**2\/4 - 447*t\/8 + 7965\/4.\nAnswer: 3*(t - 59)*(t - 9)*(t + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 less than or equal to 744?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/9083 and 63\/4.\nAnswer: 36332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 3:00 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.046916 to four decimal places.\nAnswer: -0.0469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -750, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**6\/120 + q**4\/24 + 2*q**3\/3 + q**2. What is the smallest common multiple of a(0) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -18*o - 7. Let r be i(-1). Suppose 3*p - 3*j - r = j, -10 = -2*p + 4*j. Solve -p = 3*q + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.519328 to one dp.\nAnswer: -29.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55068?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*j + 33*j + 28*j - 728. Let o(v) = -8*v**2 - 2*v - 2. Let f(q) = -23*q**2 - 6*q - 5. Determine j*o(l) - 3*f(l).\nAnswer: 5*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3)*(0 + 3). Let o = r + 6. Let h = 65928 + -65928. Solve 4*l + o = -h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -155 - -242. Let z(j) = 0*j - j + 103 + 2*j - g. Calculate the remainder when 162 is divided by z(17).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3860*n**4 + 39*n**2 + 11*n - 1. Let m(c) = 30881*c**4 - 315*c**2 - 87*c + 9. Let t(x) = 17*b(x) + 2*m(x). Find the third derivative of t(o) wrt o.\nAnswer: -92592*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/7, -3.2, -2\/7, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 + 26*l + 12. Calculate the lowest common multiple of 56 and h(-5).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l + 200 = 53*l. Suppose 6*b - 16 = l. Solve 2*p - 1 + b = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 11*r, -2*r = -4*n + 8*r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2 + -6.2. Let z = 58 + -6. Let n = -466\/9 + z. Which is the third biggest value? (a) n (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 109*m**4\/24 - m**3\/3 + 11*m**2. Let u be q(1). Suppose -4*x + 5*p + 51 + 160 = 0, -2*x + p = -u. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839073280.\nAnswer: 2, 5, 31, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2. Let v(s) = 32*s**2 + 17. Determine m(v(q)).\nAnswer: 1024*q**4 + 1088*q**2 + 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 - 1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -879, -1762, -2645?\n\"Answer: -883*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3)\/v)\/v*v**(-3\/2)*((v\/v**(4\/5)*v*v)\/v*v)\/v*(v\/(v\/(v**2\/v)))\/v)**40 assuming v is positive.\nAnswer: v**(-316\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48.4 - 48.2. Let a = 3.767 + 0.193. Let y = -0.04 - a. Is n less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-6) - (-1393796)\/408. What is the greatest common divisor of q and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 56 = z - 3*z, 4*a - 4*z = -284. Let m = -62 - a. Suppose -o - 441 = -p - 2*p, 0 = m*o. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61399 is divided by 170?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ottiddx. Give prob of sequence ttot.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46476616 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (5 - 1) + -2 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 0.4, 1, 2\/9, -0.04, 409, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0*f + 0*f + 14*f.\nAnswer: 14*f + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*1247680\nAnswer: 124768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 812 = 2*t, -t - 16 = 3*t. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 6*y - 3. Let r be l(8). Suppose 4*j + s = 145, r = -2*j - 5*s + 72. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 - 1.8. What is the closest to g in -0.3, -1, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -2. Let f be (0\/(11 + -4))\/1. Which is the nearest to f? (a) k (b) 0.05 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16614 + -16602. Solve h - 3*d - l = 0, 7*h - d + 8 = -3*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3990017691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7643 a factor of 126720940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 14*v - 11. Determine x(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 926967 divided by -3.\nAnswer: -308989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaagaaaaagaagagaaga. What is prob of picking 4 a?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -42322 divided by -2?\nAnswer: 21161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150839?\nAnswer: 13, 41, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -5*q - 10, 3*q = 7*c + 6*c - 17*c + 9*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -1591\/102?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 281 + -280. Suppose 12 = 5*g - 7*g. Let x be (-8)\/(-14) + g\/(-6). Is x less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1818 is divided by 140?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-40)\/(-12) - 2)*1134\/36 and 78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5 = -7*t, -83*t - 9 = -2*b - 42*t - 38*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 328 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3804050006 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*r + 75*r - 3920 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a - 79*a + 212 = 0. Suppose 5*g - x = x + 13, 5*g = -2*x + 17. Solve -3*w = a*k + w - 12, w = g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 28 + 2. Calculate the remainder when 29 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099.868443 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.451339 litres?\nAnswer: 451.339","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**6\/10 + 159*g**5\/20 - g - 30. Factor x(u).\nAnswer: 3*u**3*(u + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 57 = -17. What is the units digit of (6 + -7)\/((-1)\/i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*p = -5*u - 11, 0 = 3*u - 5*p + 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*u - 320 + 186 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33249985 to the power of 1\/2, to the nearest integer?\nAnswer: 5766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 1)\/(240\/32). Which is the biggest value? (a) 1 (b) -2\/19 (c) r (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6615?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20*14\/(-280)*-5. Sort -0.1, y, -7.\nAnswer: -7, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-6)\/(-56)*6636\/(-29862)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*a = -3*o - 5*o - 84*a + 104, 2*o + 4*a = 34 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 8*p**2 + 9*p - 4. Determine j(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 4 + -2 + (-4)\/(-2). Let v be s - 0 - 1\/((-18)\/(-40)). Sort v, 3\/5, 4 in descending order.\nAnswer: 4, 3\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-650)\/(-390))\/(245\/63)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.742 (c) -26.76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 3*j + 1, -3*r + 7*j + 0 = 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12491 - -12492. What is the nearest to x in 1\/53, 1, 8\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 315\/2132 + 1\/164. Let q = -0.7 - -0.2. Let j = -3.2 - -3. Which is the nearest to j? (a) o (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 32*g**2 + 4*g + 2. Let m be x(-2). Let t = -81 + m. Suppose -4*z = -t - 111. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*a)*(a + 2*a - a)*(-98*a**2 - 23*a**3 + 21*a**3 - 2*a - 3*a**3).\nAnswer: -20*a**5 - 392*a**4 - 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**2 - 240*d + 3928. Determine r(18).\nAnswer: -1688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 70, 2, -15, -286 in decreasing order.\nAnswer: 70, 2, -4, -15, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43436140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 - 18*g + 10. Let f be l(7). Find the first derivative of f + 12*b + 37*b + 52*b wrt b.\nAnswer: 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 52*r - 311. Determine n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*o + 980. Is -2 + o\/2 + 0 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o**2 - 2. Let l(s) = -s + 3. Let u(j) = -8*j + 15. Let c(m) = -5*l(m) + u(m). Determine h(c(a)).\nAnswer: -81*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 447612521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11\/(-2))\/((-1)\/10). Let t = -31 + w. Suppose 0 = 5*i - 224 + t. What is the highest common divisor of i and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 252 + 253 + 52*v - 215 + 7*v. Calculate k(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -794, -6379, -21538, -51059, -99730, -172339, -273674, -408523?\nAnswer: -581674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3472690.4\nAnswer: 3472689.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 + 1.08. Let w = u - 0.2. Let n = -82 + 82.3. Which is the closest to w? (a) -3\/4 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -0.1, 2, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -69*r + 4088. What is d(59)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = 39913 - 40265. Put 5, 4, s, 1 in ascending order.\nAnswer: 1, 4, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 14*t**3 + 0*t + (-1 + t + 1)*(-2*t**2 + 15 - 15).\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65925864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6895 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: Work out 3.9 + -204.613489141.\nAnswer: -200.713489141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10011*n + 120046. Give p(12).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 239 - 132. Let y(h) = -291*h - 45942. What is the remainder when g is divided by y(-158)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from bscbcscbxscbcbsc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -349)*1\/(-2). Let w = -1212\/7 - j. Factor 2\/7*g**3 - 6\/7*g**2 + w*g - 2\/7.\nAnswer: 2*(g - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/(-12)*35 + 4 and (2\/20)\/(1\/24).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 2:10 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 + 35*g - 1. Determine o(-5).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -199*m - 273. Let f(x) = -1088*x - 1364. Determine -11*c(l) + 2*f(l).\nAnswer: 13*l + 275","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from ghhwnnh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 377 + -0.1.\nAnswer: 376.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/4 + 8845*v**2\/4 + 638962*v + 1269081 = 0. What is v?\nAnswer: -8546, -297, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-11 + 26 + -14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 7*v**2 - v - 5. Let z be b(-7). Solve 1\/2*c**2 - 2*c + z = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - y**2 - 4 + 4*y**2 + 0*y**2 + 5*y. Let u(v) = 2*v - 19. Let a be u(0). Let x = a + 23. What is o(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.800385g in nanograms?\nAnswer: 4800385000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**6\/120 + h**5\/20 - 2*h**3\/3 + 14*h**2 + 57*h. Let n(x) be the first derivative of v(x). Factor n(j).\nAnswer: -(j - 2)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25112*g - 67*g**3 - 5 - 5*g**2 + 7*g**2 + 25104*g to c*g**3 + t + s*g + z*g**2 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2 = -l - 4, 2*l - 21 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-14) - (-19266)\/91. Suppose 776 - q = -6*f. Round f to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 58\/2026905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20 - (-1 - -3 - 1). Suppose 4*y = -5*d - 2, -y - 2*d = -6*y - s. Are -2 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + 5 + 4)*(-17)\/(-2). Suppose o = 6*c - 7. Which is bigger: 20\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 64*n**2 - 1996*n + 1674. Calculate w(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*m + 101*m = 855. Let a be 4\/5*(-3)\/(-18). Sort 5, m, 8, a in increasing order.\nAnswer: a, m, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2294208 and 26208.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**8\/6720 + h**7\/630 + h**6\/144 + 2*h**4\/3 + 8*h. Let g(y) be the third derivative of q(y). What is g(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/100 - a**4\/10 + a**3\/2 - 11*a**2. Suppose p(d) = 0. What is d?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2 - 5472*a + 16380 = 0. Calculate a.\nAnswer: 3, 1365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29024779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3110.64 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40238378*j**4 + j**3 + 127666110*j**2 wrt j?\nAnswer: 965721072*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49975, -99955, -149981, -200077, -250267, -300575, -351025, -401641?\nAnswer: -452447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1780)\/(-4450))\/(2*(-3)\/(-120)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18480291 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -178, -208, -262, -346, -466, -628?\nAnswer: -838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002086625 to 5 decimal places.\nAnswer: -0.00209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (55\/(-15))\/(3\/9). Let j(s) = -7*s. Is j(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/126020 and -67\/20?\nAnswer: 126020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7073103.6 rounded to the nearest one hundred thousand?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**5 + 0 + 0 + 2*h**5 + 0*h**2 + 0*h**2 + (-h**2 - h**2 + h**2)*(-h**3 + h**3 - h**3))*(-4 + 7 + 12).\nAnswer: 30*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcgg when four letters picked without replacement from {g: 3, c: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzb when three letters picked without replacement from bbbbbbfbzbb?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -424603017.24?\nAnswer: -424603016.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -5, 5\/6 in decreasing order.\nAnswer: 5\/6, 0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, y: 13}. Give prob of sequence jy.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 45*j - 42*j = -12, 2*k + 3*j = -7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -313 + 316. Suppose 3*k - g*r + 12 = 0, -k + 0*k - r - 6 = 0. Let c(f) = -4*f - 7. What is c(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, o: 1, k: 1}. Give prob of sequence ott.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263033933?\nAnswer: 233, 1128901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 15744.78816.\nAnswer: -15745.08816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/2)*x**(-6\/7)*x*x**(2\/3)\/((x*x**(-5))\/x) assuming x is positive.\nAnswer: x**(307\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (1 + 2) - 0) + 8126. Suppose 3*b - q = 7314. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 112 + -340\/3. Put -1\/3, g, 0.3, 5\/2 in increasing order.\nAnswer: g, -1\/3, 0.3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8590*18\/630 - (54\/(-21) + 2). Calculate the greatest common divisor of g and 1681.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (2*-1)\/2. Suppose -x*t = -4, h = -4*t - 0*t - 14878. Let l = h - -238265\/16. Find the common denominator of l and -107\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2, 7, 151, 0.3, 0.11 in decreasing order.\nAnswer: 151, 7, 0.3, 0.11, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10528 and 282?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 0*g**2 + 0 + 7*g - g**2 - 5 + 9. Let l(c) = -8*c - 1. Let j be l(-1). Let h be i(j). Solve 5*n - h = 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 891*a**2 - 16*a + 11*a - 3 - 866*a**2 + 2*a**3 to x*a**2 + t*a**3 + m + f*a and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 525, 4126, 13905, 32952, 64357?\nAnswer: 111210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 81*s. Let u(i) be the third derivative of 17*i**4\/8 + 1869*i**2. What is d(u(a))?\nAnswer: 4131*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -323951, -323989, -324037, -324089, -324139, -324181?\n\"Answer: c**3 - 11*c**2 - 12*c - 323929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6327415 (base 8) to base 11\nAnswer: -a4a694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - p**3 + 0*p**3)*(p - 2*p + 11*p).\nAnswer: 10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-9))\/((116\/24)\/(-29)). Sort 2, -5, p, 8.\nAnswer: -5, p, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3013321 (base 5) to base 12.\nAnswer: -23909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.821 + -1.221. Sort 11, y, 1\/5, -0.03 in decreasing order.\nAnswer: 11, 1\/5, -0.03, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1394406 by -7878.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9))\/(84\/(-72)*(-1)\/(-49))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-24))\/((-1290)\/(-6880))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 297*l**4 + 272*l**4 - 10*l**3 + 10*l**3 + 912 + 1206*l**4 wrt l?\nAnswer: 7100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-506)\/(-66) - 2\/(-6). Let i(o) = 21*o - 13. Does 31 divide i(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1867 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 792827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0 + 0*r**3 - r**4 - 9\/2*r**2 - 3*r. Let v(j) be the first derivative of u(j). Let w(p) = p**2. Determine v(w(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 45 = 11. Suppose 3*m - 4787 = -4*g, -4*m - a*g - 887 = -7263. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15703, 15699, 15693, 15685, 15675?\nAnswer: 15663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 22 - 42 = b, -3*m - 3*b + 33 = 0. Which is bigger: 65\/4 or m?\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -9*f - 6. Suppose 8*k + f*k = 20. Suppose -l + m - k = -6, -3*l = 5*m + 4. What is the least common multiple of l and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 98 (c) 0 (d) 2\/17 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*j - 36 = -3*s, 2*j = -5*s + 33. Suppose 968 - 8 = s*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t = 17*t + 930. Suppose -60*i - 2066 = -4*n - t*i, 0 = 5*n + 3*i - 2582. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.024 times 6761919\nAnswer: 162286.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*j = 4*v - 25, -118 = -4*v + 2*j. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*i + 2*a + 6, i - 2*a - 6 = 0. Suppose -4*w = -4*v - 3832, -4*v + 0*v - 20 = i. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(200) + 3 + 0 + sqrt(200))*5)**2 + 5.\nAnswer: 3000*sqrt(2) + 20234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3503\/10 - 351. Let l = 673\/110 - 64\/11. What is the common denominator of q and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -3*g**4\/8 + 6*g**2 - 2. Let q(u) = u**2. Give r(q(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73493418503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418600 is divided by 111?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 r when three letters picked without replacement from rooorooo.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 divided by 55?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4627\/429 - -410\/39. What is the nearest to -1 in -5, -37, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -80*l - 3. Let s(j) = 159*j + 7. Calculate 9*q(k) + 4*s(k).\nAnswer: -84*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (156940\/(-2478))\/(100\/(-90))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 8\/3, 2\/13, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -6110225 and -2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 641*v**3*x + 2119*v**3 - 14*v**2*x + 2*v**2 - 2*v*x wrt x?\nAnswer: 641*v**3 - 14*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(50) - sqrt(100)\/sqrt(2)))\/sqrt(10))**2 + sqrt(60)\/((1*sqrt(192) + sqrt(192) + sqrt(192) - sqrt(192)) + sqrt(12)).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*1\/3*(-55008)\/(-22920).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.184 + 4.184. Let o be 0 - (-2)\/12*3. What is the fourth smallest value in -2\/3, -10, o, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10082, -40335, -90756, -161345, -252102, -363027?\n\"Answer: -10084*l**2 - l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 30. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/18)\/(26\/(-351)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/40 + (128\/30)\/(-4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1296 - 1296.0011246. Round h to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9c - 5937?\nAnswer: -59d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -460354 and 0.172?\nAnswer: -79180.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**2 - m + 1. Let n be a(1). Let f(t) = -2*t + 4. Let y(p) = 2*p - 5. Calculate n*f(s) - 5*y(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**5\/20 - c**4\/3 + 2*c**3\/3 - 5*c**2\/2 - c - 28. What is the remainder when i(4) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 4*w + 6. Suppose -3*g + 63 = 21. Suppose q - g = -4*c + 5, 4*q = -3*c + 11. Let f be i(c). Is -1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157424454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 4*h**2 + 5*h + 5. Let l be p(5). Suppose -l*a + 2*y + 33 = 0, 0*a + 5*y = 2*a - 9. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -5*t**4\/4 - 20*t**3\/3 + 95*t**2\/2 - 70*t + 58. Suppose n(c) = 0. What is c?\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 9, -3*b - 10 + 3 = -4*y. Suppose -y*h + 3*h = -10. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -54*z**2 + 37*z - 3. Let r be v(9). Let u(a) = 6566*a**2 - 1. Let m be u(1). Let c = r + m. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-88) - (2 - 3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.37 and 2.1?\nAnswer: 0.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -47485 * -26\nAnswer: 1234610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 649 - -6856. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**2*t*w**3 - 3*s**2*t*w + 2*s**2*w**3 + 10*s**2*w**2 - 4*s**2*w - 3*s**2 + 67*t*w**3 wrt w.\nAnswer: -12*s**2*t + 12*s**2 + 402*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -700 not equal to 92427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/97 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3 + 1 + -1 + 1111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 - 7*s**4 + 2*s**4 - s + 3*s**2 + 2*s**4 as d*s**4 + o*s**2 + t + q*s**3 + f*s and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.47 minus 1186?\nAnswer: -1193.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2 = 3*k, 5*k - 3*o - 5 = -o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 493782732.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*j + 4*j. Let m = -93 - -653\/7. Do j and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27731395 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12 - 15)*(-6)\/3. Put -5, -2, 0, b in ascending order.\nAnswer: -5, -2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4272, 5026, 5780, 6534, 7288, 8042?\nAnswer: 8796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 2:06 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/(-10) - (-4)\/10. Suppose 20 = -w + g*w. What is the least common multiple of w and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1370 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92\/3 - -31. Which is greater: -0.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*n - j, -2*j + 0 = 2*n + 4. Let w(t) = -t**2 - 6*t - 6. Let d be w(n). Solve -d*r + 12 = 4*l - 2*r, 3*l = -4*r + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121221*-0.0066.\nAnswer: 800.0586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000100705 to seven dps.\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -1. Suppose x*t = 14*t + 65785. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -114*l - 60. Let k(f) = -56*f - 30. Let q(x) = -5*k(x) + 2*m(x). What is the tens digit of q(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Suppose -13 = f + 2*l, 3*f - 4*l - 11 = -j*f. Let u be f + 2 - -2 - 1. Is u greater than or equal to -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 7\/2, 1\/4, -61, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4 - 259 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2831, -5460, -8091, -10724?\nAnswer: -13359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - 8*v - 14. Let f be g(-11). Suppose -443*b = -f*b - 24. What is the nearest to 2 in 7, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 385*u**2 + 2749*u + 38. Let y be j(-7). What is d in 4\/5 + 6\/5*d**2 - 2\/5*d**y - 2\/5*d**4 + 2*d = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26321 and 9.\nAnswer: 236889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x + 1. Which is the smallest value? (a) 4 (b) x (c) -1\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) -5 (c) 1\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31121330 + -11?\nAnswer: 31121313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -3 (b) 1\/51 (c) -1\/30 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -29 + (21 + -10 - -13). What is the third smallest value in 165.6, 5, a, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -657 or 3\/121?\nAnswer: 3\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 10*u - 10. Suppose 81 = g + 3*p, -p + 404 = 4*g - u*p. Does 24 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12213110123 (base 4) to base 2\nAnswer: 110100111010100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.54 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 + 996*f + 1000 = 0. Calculate f.\nAnswer: -1, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2670 or -2696?\nAnswer: -2670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-4)\/((-16)\/(-4)). Suppose 0*m + d = -r*m - 47, -3*m - 24 = 2*d. What is the units digit of 8\/(-6)*555\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 minutes after 2:02 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2003)\/(-20030)*(-5)\/3.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*76\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1109036 - 681\nAnswer: 1108355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.65 - 633.35. Let n = u + 629. Which is the fourth smallest value? (a) -0.4 (b) 0.5 (c) n (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i - 344 = -71 - 805 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4\/5 + 8714*j**3\/5 - 183708*j**2\/5 + 736024*j\/5 + 455312 = 0.\nAnswer: -4378, -2, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -143425\/7 and -20490 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*n = 0, -3*n - 2 = 7. Let k be -10*(0 - (-1)\/2). Let o = -75.5 + 75. What is the nearest to -0.2 in o, d, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 2076.\nAnswer: 8304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1138489*g**2 + 1067*g**3 + 0*g + 0 + 1\/4*g**4.\nAnswer: g**2*(g + 2134)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 55 + 55. Let s(l) = -9*l. Calculate s(a(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2\/3 - (-224)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240768 = -8*p - 49*p. Does 33 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5565240 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 32900 (c) -3 (d) -0.3 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - t. Let f(d) = 4*d**3 + 36*d**2 - 40. Suppose 4*h + h - 4*w = 12, -4*h = -3*w - 10. Let j(o) = h*q(o) + f(o). Factor j(b).\nAnswer: 4*(b - 1)*(b + 1)*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*j**2 + 948*j + 376.\nAnswer: 4*(j + 47)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 368\/5428*22\/(-132).\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 + 43 - 5)*(3*a - a + 0*a) as v + g*a and give g.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2 + 3\/4*s**3 + 9\/4*s**2 - 15\/4*s - 3\/4*s**4.\nAnswer: -3*(s - 1)**3*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 661202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlx when three letters picked without replacement from rllllxlllx?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 37*b + 202. What is r(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30*(-20)\/3500)\/(4\/(-10)). Let n = -4 + 6. Let h = n - 1. Which is the second smallest value? (a) q (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.08, -0.4, -2948\/3, 2, -3.\nAnswer: -2948\/3, -3, -0.4, -0.08, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 12:37 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 650953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -504292.\nAnswer: -1\/126073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.9 + 2.8. Let n = y + 5. Let m be ((6\/(-4))\/3)\/(-1). Which is the nearest to n? (a) -2\/3 (b) 1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27661208.\nAnswer: 2, 3457651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-350)\/(-30))\/(((20\/5)\/(-12))\/(-1))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (2 - 12\/(-1)). Let o be 6*(u\/6 + 1). Let d = -6 - o. Let v(x) = x**2 - 4*x + 4. Calculate v(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4683 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u + 1. Let r be m(1). Let f be -8*(-10)\/80*(14 - 11). Solve o - f = -r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m - 2. Let q(c) = 7*c - 3. What is 5*q(z) - 6*s(z)?\nAnswer: -7*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 164136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10*x = 5*x + 91, 3*x = 2*o - 99. Let q = 75 - -17. Calculate the remainder when q is divided by o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.262 - -4.3. Let m = n - -0.362. Which is the third smallest value? (a) m (b) 0.2 (c) -0.1 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.9 and 2?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -10145*o. Let i(s) = -37*s**2. Give u(i(q)).\nAnswer: 375365*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -374, -1, 30, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.29 and 11.1497.\nAnswer: 14.383113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/21 - 11*(-1520)\/14. Suppose -p + m = 2*p. Suppose 0 = -5*g + 2*h + 920, 3*h + p + 527 = 5*g. List the prime factors of g.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 78*x**2 - 351*x + 270.\nAnswer: 3*(x - 3)*(x - 1)*(x + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87634 is divided by 10808.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 47 (b) -5 (c) -0.2 (d) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**16\/d*d)\/(d\/(d*(d*d*d*d*d*d**(-9)\/d)\/d))*d**0*d*d**(-1\/10)\/d)**(3\/4) assuming d is positive.\nAnswer: d**(297\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 2.98. Let h = -5.02 - b. Let l = h - -2. What is the third smallest value in -0.4, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j + 6*j - 11*j + (j + 3*j - j)*(-1 - 3 + 3))*(3*j - 5 + 5).\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1093065 and 35?\nAnswer: 7651455","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 15 = n, -2*m - 18 = 159*n - 158*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a41ac (base 13) to base 4.\nAnswer: -11113321030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - -10 - 15 - -17. Sort z, 3, 25, -3 in descending order.\nAnswer: 25, z, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -112 - -103401?\nAnswer: 103256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 3\/35*t**5 + 0*t**2 - 12 + 0*t - 3\/28*t**4 + 0*t**3. Suppose z(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/96*8*30.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/9, -9, 4, 447, 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43409, -43493, -43575, -43655, -43733?\nAnswer: -43809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -142180820\nAnswer: 142180820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 10*g - 86. Let j be (-12)\/(-9)*-3 + (-132)\/11. Let r be q(j). Let h(b) = b**2 - 11*b + 12. Calculate h(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18880 - -18879.5. Let o be (2\/6)\/(2\/6). Which is the closest to 1\/14? (a) h (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135724528 is divided by 110166?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3225238, -3225236, -3225232, -3225226, -3225218?\n\"Answer: n**2 - n - 3225238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6134370 and 70510.\nAnswer: 6134370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82388 and 12933.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -286514*w**3 - 1137*w + 286517*w**3 - 990 + 55*w**2 - 199*w**2 = 0?\nAnswer: -6, -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 3*b - 8*b)*(-2 + b + 2 + (4*b - 4*b + b)*(4 - 1 - 5) - 3*b + 3*b - 5*b)*(4*b - 13*b - 9*b).\nAnswer: -1188*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**9\/1512 + t**8\/420 - t**6\/90 + t**5\/60 + 11*t**3\/6 - 11*t. Let k(m) be the second derivative of a(m). Factor k(l).\nAnswer: -2*l*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904.1437l to millilitres.\nAnswer: 904143.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 41, 7, 43, -0.6?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a day in seconds?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5752, -6120, -6488, -6856, -7224?\n\"Answer: -368*h - 5384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 403\/309 + 3\/103. What is the second smallest value in b, 48, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -30. Let z = -4 - o. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60408 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302 + 46*c - 5*c + 6*c + 301 + 41*c + 8*c.\nAnswer: 96*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 402271?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -22 - 32*q - 36 + 41. Suppose -2*v + 2 = 12. What are the prime factors of b(v)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351135593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 14) to base 3.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 832*v = 837*v - 600. What is the highest common factor of 105 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77)*1)\/sqrt(7))**2 - (sqrt(704) + -3*sqrt(704) + sqrt(704) + sqrt(704))**2) + (-3 + (sqrt(99))**2 - (sqrt(11) + 0)*-1) + 5.\nAnswer: sqrt(11) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.19, 149, -573 in increasing order.\nAnswer: -573, 0.19, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000297758 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.99 rounded to the nearest integer?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.29 + 11.29. Which is the nearest to 2\/13? (a) x (b) -5 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19*62\/(-558)*-27?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-3*sqrt(30)*-2)\/((sqrt(100)*1)\/sqrt(10)) - -5*((sqrt(3) - (-4*3*sqrt(3) + sqrt(3))) + -4)))**2.\nAnswer: -66000*sqrt(3) + 336700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/12 - (1 - 0 - 6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28825 - -6?\nAnswer: -2881c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 10. Let p be 9\/r*(-6 - -2). Suppose -p*x + 0*x + 3*t - 20985 = 0, 2*x + 14010 = -2*t. What is x rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68) + 0) + (sqrt(51)\/sqrt(3))**2*-6 + (sqrt(136)\/(sqrt(8)*-2))**2 + 2)*5.\nAnswer: -1915\/4 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-65) + (-82)\/(-26). Let u be (-2 - f\/(-3)) + (-9)\/3. Is 6 a factor of u\/(-2) - -42 - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*c = 1, -q + 0*q + 17 = -3*c. Let b be (1 - 0)*(q + -3). What is the second derivative of 3*a + b*a - 4*a + 4*a**2 wrt a?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7054620 is divided by 604.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -102946+-0.03884934\nAnswer: -102946.03884934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-2262)\/45) + 23\/(14490\/(-168))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**6)*z**(1\/4)*z)\/((z\/((z\/z**(-1\/3))\/z))\/z)**24)\/((z**5*(z\/z**(-4)*z)\/z*z)\/(z\/(z*z*z\/z**(-2\/7)))**(-5\/11)) assuming z is positive.\nAnswer: z**(1629\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -303455 - 5?\nAnswer: -303504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 140*d**2 + 3*d + 9 wrt d.\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 78371 (base 13) to base 4\nAnswer: 311033312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*v - 12 - 24 = 0, v + 47 = 2*k. Suppose 3*g - h + 50 = 7*g, -4*g + 5*h + 38 = 0. Suppose 2*y + 3*d = 14, 5*d = -2 + g. Solve k - 6 = -y*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*m - 3 + 3.\nAnswer: 116*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2471 + 3284. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 9 = -z - 1, p = -2*z - 6 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27691185.\nAnswer: 3, 5, 1846079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 180840 a multiple of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z = 0. Suppose 3*j + 4 = 4*f, j - 5 + 1 = z. Let k be f\/2*(-6)\/(-4). Solve k*d = -d - 4*m + 32, 3*m = d + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 7*b**2 - 3*b - 34. Is 13 a factor of l(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 10. Suppose -b - 60 = u*b. Is -11 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -98*c**2. Let q(r) = 20*r + 25*r + 22*r - 68*r. Calculate w(q(x)).\nAnswer: -98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 + 57. Suppose 7*m - 8*m + 6 = 0. Let f(z) = -7 + 5*z - m*z**2 + 0 + 1 + z**3 - 1. Calculate f(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 10, -2*q - 2*q = -4*y - 587 + 559 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1622772, -3245318, -4867862, -6490404?\n\"Answer: w**2 - 1622549*w - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 98.\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 7*g**2 - 24*g - 20. Let q be m(-11). Let n = q - 661. What is the greatest common factor of n and 1273?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 8:37 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-486)\/(-21))\/((-27)\/(-1134))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 312\/91*126*16\/216.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z**3 - 4*z**2 + 3. Let n(h) = 2*h**3 + h**2 - 1. Calculate 2*d(c) + 9*n(c).\nAnswer: 2*c**3 + c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 h when four letters picked without replacement from {t: 14, o: 1, h: 5}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (44 + 0)*(-14 + 39038\/2882)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 15*u**2 + 46*u + 24. Determine o(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10*c - 5. Let u be l(-11). Let a be (4\/6)\/((-14)\/u). Let o = 6 - a. Calculate the smallest common multiple of o and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a second in milliseconds?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)*p)\/p**1*(p\/(p\/(p\/(p**(-5\/3)\/p))))\/p**4*p**(4\/5)*p*p*p**(-2\/5)\/p*p*(p**(-1\/2))**(-36) assuming p is positive.\nAnswer: p**(256\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400 is divided by 72.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(15\/2)*(-6)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 2*z**2 + 3*z**2)*(z - 4 + 4) + (-6014*z + 6014*z + 16*z**2)*(-z - 3 - 12*z + 7*z).\nAnswer: -94*z**3 - 48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5659 is divided by 2724?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1921 by 113.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, i: 7}. Give prob of sequence iqqi.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - 8*k + 4. Let y be t(-4). Solve 3*r + 3*z - 6 = -z, y*z = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151165?\nAnswer: 5, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 691174908 to the power of 1\/3, to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) 5 (c) -47 (d) 0.4 (e) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -469.821 or 0.03?\nAnswer: -469.821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) 1\/6 (b) -0.01 (c) 0.1 (d) 1\/2 (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4913*c = 75781 + 61783 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-10)*(-10)\/4. Suppose 18000000 = 4*f + 3*t, -u*f - 4500000 = -3*f + 5*t. What is f rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17286 times -0.232\nAnswer: 4010.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108759, 108739, 108721, 108705, 108691?\nAnswer: 108679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 302453558.39999844 + -302453566. Let b = 7.6 + h. What is b rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -1. Let x = 0.6 + -0.8. Which is the biggest value? (a) h (b) x (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*z - 10, d = -2*z + 20 - 15. Let a(s) be the first derivative of 17 + 0*s**z + 15\/4*s**4 + 0*s**2 - 11*s. Differentiate a(t) with respect to t.\nAnswer: 45*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((964\/(-8435))\/(6\/7))\/((-23)\/(-5)).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -773.7 rounded to the nearest ten?\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4776925589 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -29*o - 16. Let z be w(-11). Suppose -2*i = -z - 211. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1800 and 14383080?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 15 = 5*k. Let t(y) = y**3 - 6*y**2 + 5*y - 6. Give t(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56467329929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 322607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = z - 7740000. Round z to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/5 + (-20)\/(-25))*0. Suppose 2*c = -4*x - 6, -5*c + l - 15 = 0. Solve 0 = 2*w - 4*s + 6, -2*s + 4 = -x*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) + (-4*sqrt(153) - sqrt(153))**2)*2.\nAnswer: 8*sqrt(17) + 30600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 6:45 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -1525.51?\nAnswer: 6102.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15041139, 4, -2\/11 in descending order.\nAnswer: 15041139, 4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 4:14 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37 and 331?\nAnswer: 12247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 751510.2 kilometers in micrometers?\nAnswer: 751510200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57.37 - 57.36990311. Round q to 6 dps.\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528 (base 9) in base 8?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 5:46 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 685888011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*q**4 - 9*q**4 + 4*q**4 + (4 + 1 - 2)*(2*q**3 + q**3 + 2*q**3 + 3*q - 3*q + q**3 + (-3 + 2*q**2 + 3)*(6*q - 5*q + q))*(-2*q + 5*q - q).\nAnswer: 70*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10 - 11*x + 11*x + 0*x + x. What is v(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = -j + 2*y, 0 = -4*j - y + 9. Suppose c + 5*g - 25 = -0*c, -j*c + 50 = -5*g. Let n = c - 14. What is the least common multiple of n and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 17}. Give prob of picking 4 j.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29988 divided by 357.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 308, 14\/109, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1492197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 7238 - 7136. Solve 0 = i*y - 24*y - 42 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 4, c: 2, w: 6, g: 2}. Give prob of picking 1 c and 2 w.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 25*a - 66. What is q(14)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 - 3*o**4 + 137*o + 3*o**2 - o**3 - 137*o to t*o**4 + s + w*o + l*o**2 + r*o**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 20*b**2 - 3*b - 85. Let t be f(-16). Calculate the highest common factor of 21 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 7) in base 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111904620*c**3 - 296901698.\nAnswer: -335713860*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-16 - (-17 - -21)) + -12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 5*i + 3*b - 33, -b + 18 = 4*i. Solve 12*x + i*v + 15 = 13*x, 2*x - 2*v - 10 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 0*j - 2*j + 2*j + 14 - j. Calculate the lowest common multiple of 6 and u(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - ((1 + -15 - -11) + -29)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28240 divided by 20.\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8)\/((-2)\/36*3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-3) - 188\/(-564))*3322\/110?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 19*a - 6. Calculate u(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 12.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*260\/(-65).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u*v**3 + 2*u*v**2 + 11747155*u*v - 291381*v**3 wrt v.\nAnswer: -12*u - 1748286","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -36540 + 66597. List the prime factors of d.\nAnswer: 3, 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*4*(sqrt(156) + sqrt(156)*-3 + sqrt(156) + sqrt(156)))\/((sqrt(12) + -4*-2*sqrt(12) - sqrt(12))*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 14. Which is the smallest value? (a) 4 (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i**3 + 274*i**2 - 820*i - 222 = 0.\nAnswer: -37, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -208.4 + 208. What is the nearest to 0.7 in r, 220, -3\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1248106 + -1784806. What is o rounded to the nearest 10000?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2 + 2 - 3*v. Let m(o) = 4*o**2 + 12*o - 14. Let c be m(-4). Let y(f) = -16*f - 10*f - 7*f**c + 45*f - 19*f. Determine k(y(b)).\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1306 + 2555. What are the prime factors of s?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29172 divided by 17.\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -183, -408, -753, -1278, -2043, -3108?\n\"Answer: -10*s**3 - 155*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, s: 1, f: 4, c: 1, g: 1}. Give prob of sequence hgh.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - 2*j + 2*j**2 - 2*j**2 + 3*j**2 + j**2 + 1 - 3*j**2 - 1 + 1 - 1 - 2*j**2 + (j + 0 + 0)*(j - j - j) + 0*j**2 + 2*j**2 - 5*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 355*k - 1500.\nAnswer: 5*(k - 75)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**2 - 6*s + 4. Let y(n) = 1. Determine k(f) + 6*y(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76616568 and 1456.\nAnswer: 1992030768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7459 + 19132. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-132) - (-6)\/(-99)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/2 + (5 - 2). Suppose -g + l*g = 28. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*((1*sqrt(1250) + sqrt(1250))*2 - (-2*sqrt(1250) + 5 + sqrt(1250)))*-3)**2*6.\nAnswer: -38880000*sqrt(2) + 972777600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 5, -5, -1\/4, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j - 303. What is i(31)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64299 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*10*(-1)\/2. Suppose f*n + c = -4*c + 10, -4 = n + 4*c. Let m(o) = o**3 - 5*o**2 + 5*o + 3. Give m(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.9 + 22. Let g = -12 + t. Let u = g - -0.8. Which is the second smallest value? (a) 5 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o - 4. Suppose s = -1 - 4. Let h(f) = -6*f + 9. Let u(y) = -6*y + 8. Let w(v) = -3*h(v) + 4*u(v). What is s*j(r) - 4*w(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3)*15\/50)\/((-864)\/371520).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -4*w + 6*h, -47*h - 4 = 21*w - 42*h + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2979406185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1556044 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 5:36 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upwwupwpbyrru. Give prob of sequence uu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 7:44 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3))**(3\/8)\/((u\/u**25)\/u**(1\/11)) assuming u is positive.\nAnswer: u**(2109\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -ac?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32936 + w - 32893 - 2*w to the form s*w + q and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 - -91. Let p(w) = -w + 1. Calculate p(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Suppose -6 = -y*k - 3*k. Suppose -3*h = k*h - 45. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-54)\/974) + (-2750)\/74250.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 104 - 116 = 0. Let u = a - -133. Calculate the highest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -30, -1489 in descending order.\nAnswer: 1, -30, -1489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*d + 6*u - 16, -3*d = -3*u - 15. Let r(f) = 4*f**2 + d*f - 4*f. Let x(j) = j**2. Determine r(x(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 5 (c) 0.3 (d) -0.5 (e) -1289\/3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34959521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.343*0.5.\nAnswer: 0.1715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -320*g + 917. Calculate y(3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (244 - 233 - 2*l - 306)*(0 + 4 - 2)*(1 + 2 - 2) in the form p + t*l and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.2 from 16443.8.\nAnswer: 16438.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 + 4*n + 2. Let c be t(-4). Suppose -4*u + 5*b - 17 = 0, -4*b - 6 = -u - 24. Let d = c + u. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1052 - -1755. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -3.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-45)\/50 + 8\/16.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 3 + 2 - 1 - 3*m with respect to m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 1:59 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k - 2*g, 2*k - 7 = g. Let t be 1287\/27 + (-6)\/9. Let b = -32 + t. Solve -k*n - n = b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030 (base 4) in base 12?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) 6 (c) -2\/27 (d) 2\/3 (e) -873\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g**3\/5 - 414368*g**2\/5 - 1243338*g\/5 + 1657688\/5 = 0 for g.\nAnswer: -4, 1, 207211\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**5 - 9511*l**4 - 3970714*l**3 + 4994921*l**2 + 6964820*l - 1991308 = 0.\nAnswer: -1837, -542, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 - 2*v + 5. Let b(n) = 2*n**2 + 3*n - 6. Suppose -153*w = -597*w + 89 + 1243. Give w*r(f) + 2*b(f).\nAnswer: -5*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 16 = a. Let t(s) = -s**2 + 9*s - 7. Let p be t(a). Let d be (-2)\/(-4)*(p - -17). Solve 0*q = 3*q, 3*f = 3*q + d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 - y**3 + y**3 + (-1 - 4 + 2 + (-2 + 1 - 2)*(-1 + 6 - 2))*(0*y**3 + y**3 - 7*y**3) as r*y + v + t*y**3 + p*y**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161 and 253.\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/(14\/42) - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-12) + 813\/18. Let u be 0 + 0 - (-49 - -53). Let h be 10\/z*-6*6\/u. Solve 5 = -k - 0*k + 4*w, -h*k - w = 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, 164, -5, -1, 0, -55 in decreasing order.\nAnswer: 164, 0, -1, -5, -55, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 + 3*a + 2. Let n(u) = 4*u**2 + 2*u + 2. Suppose -6*g + 4*g - 26 = -5*r, 13 = g + 4*r. Give g*n(b) + 2*p(b).\nAnswer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -209 - -415\/2. Let f = 184\/267 + -2\/89. What is the closest to -1\/2 in c, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) -1\/5 (c) -0.0269 (d) 7.12 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519 - 1371 = 71*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*k + 1)*(-4 - 2 + 3)*(-3*k - 3*k - 3*k).\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*j = -10, -r - 972*j - 34 = -964*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (5 - 2) + (5 - 17) - -28?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*t - 2. Let x(l) be the third derivative of 1\/210*l**7 - 2*l**2 + 0*l + 0*l**3 + 1\/24*l**4 + 1\/20*l**5 + 0 + 1\/40*l**t. Factor x(d).\nAnswer: d*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/4 and -55\/354.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 13. Let j(y) = y**2 - 23*y - 14. Let a be j(24). Give s(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -131*s + 127*s - s**2 + 2 - 4. Let l(d) = 2*d**2 + 9*d + 5. What is 3*l(m) + 7*w(m)?\nAnswer: -m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -503*o**3 - 39*o**2 + 502*o**3 + 8*o**2 to h*o**2 + k*o + n + u*o**3 and give h.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3540 - 2270. Let p = -483 + r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/21)\/((140\/(-49))\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (309*m**2 - 309*m**2 + 12*m**4)*(3 - 2 + 1)*(82 - 6 + 123) to g*m**4 + z + f*m**2 + p*m**3 + u*m and give g.\nAnswer: 4776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2272506 and 43\/3787510.\nAnswer: 11362530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.83787 - 726.75437. Let i = -726 - f. What is i rounded to three decimal places?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-75) + (2 - (-32)\/(-12))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 678, -21, -724, -1431, -2142, -2857?\n\"Answer: -2*v**2 - 693*v + 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c**3 - 200*c**2 - 5*c - 8239 wrt c?\nAnswer: -9*c**2 - 400*c - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 3664392?\nAnswer: -366439.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 12926 = -4606. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407981 = -2*w - 0*w - 43*m - 407627, -w + 37 = 4*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 5*p = 19, 3*b + 2*p - 43 = 0. Suppose 4*i + 42 = b*i. Suppose -2*a - i = -4. Sort a, 2, 4 in decreasing order.\nAnswer: 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2754 = 2*p, -65*m = 5*p - 61*m - 6840. What is the remainder when p is divided by 125?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 88 and 0.047?\nAnswer: 4.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z + 5. Let h(i) = -7*i + 6. Let f(k) = 2*h(k) - 3*p(k). Suppose 4*y = -20, -2*a = a + 3*y + 9. Calculate f(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 16. Let h(l) = -2*l - 31. Let x(g) = -4*h(g) + 7*r(g). Let k be x(-15). Let i(y) = 3*y - 2. Determine i(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 159*z - 1247. Determine w(71).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*g + 28, -2*g + 2*r = -3 + 5. Suppose -4*d + 33 = -3*b - 10, -4*d + 48 = -g*b. Suppose p = 22 - d. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 9 + 18 = 0, 4*b + g = -7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4289*j**2 + 47181*j - 28. Calculate x(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (44\/(-33))\/((-2)\/3). Let f be c - (324\/4 + 2). Let v = 128 + f. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -0.030897?\nAnswer: 0.00092691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 325 = 73. Let h be 6\/14 + (-19296)\/j. Let p = 997\/2 + h. Calculate the common denominator of p and 107\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2310)\/(-168))\/((-110)\/(-80)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19220 + 60592 = -8868*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(540)*4)\/(-5*sqrt(48)\/sqrt(4)))\/(-2*sqrt(1296)*-4*-2).\nAnswer: sqrt(5)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 224\/153? (a) 0.14 (b) -28 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 13 + (1 - -5) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1900 and -3\/7756.\nAnswer: 3684100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15381504659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -96 + -2b?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2 - -14.5. Let w = p - 3.3. Let d = w - 6. Which is the closest to d? (a) 5 (b) -10 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 12*i**2 + 16*i - 2. Let k be c(-5). Suppose 9*l - k + 38 = 0. What is the highest common divisor of 8 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*v - 1. Which is greater: v or -11\/16?\nAnswer: -11\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71459918 to the nearest integer?\nAnswer: 8453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -38*c. Let s(i) = 5*i**2 - i + 82. What is s(y(w))?\nAnswer: 7220*w**2 + 38*w + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 13031288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 5*m + 5. Let v be i(-5). Let g(t) = 3*t - 18. Let s be g(6). Suppose -20 = -s*d - 2*d. Calculate the highest common divisor of d and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 306 + 294 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from {z: 1, y: 6, v: 1, f: 9}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2 - 20*l - 14. Suppose 28 = -7*p + 5*p + 5*b, 5*b = -5*p. Let a be d(p). Which is bigger: a or 36\/17?\nAnswer: 36\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4060 divided by -4.\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q + 13. Let b be m(7). Let t = b - 39. Solve -k + 2 = p, 5*k - t*p - 3 = -14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 2*j + 10. Let y be g(12). Suppose 3*u - 5 = 4*u, -5*l - u = -y. Solve 0 = 4*v + 7 - l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -254 + 441. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1050, 2105, 3166, 4233, 5306?\n\"Answer: 3*g**2 + 1046*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1614277 - -14?\nAnswer: -1614263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) - 54\/(-15). Suppose 2*g + 2 = -q - 4, f*q = 3*g + 20. Let h = 4 - q. Solve 3*z + 20 = -h*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 28*l + 148. What is u(20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.2 + -7.616. Let g = a - -0.006. What is g rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 2, e: 2}. Give prob of sequence ezz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2270 - -2274. Let n = -1.98 - 0.02. Put 1, n, -0.1, z in decreasing order.\nAnswer: z, 1, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1832 - (1 + -2) - -1. Round y to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, -1.285, -1\/4 in ascending order.\nAnswer: -1.285, -1\/4, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 622*((-4)\/(-40) + 2\/5). Suppose 12*h - r = -275. Solve 0 = -2*p - 5*k + 9 + 8, 0 = -k + h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/54 - (-25)\/6) + -4. Which is greater: a or -10\/51?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**6\/1800 + 11*w**5\/600 - 3*w**4\/20 + 19*w**3\/6 - 61*w**2. Let g(d) be the first derivative of b(d). Factor g(t).\nAnswer: -(t - 9)*(t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*o - 81. Let g = 148 - o. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 22 = 5*o, -228*o = -3*a - 224*o + 105. Calculate the remainder when 8806 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.600000088 + 10.6. What is r rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 11 + -11 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1184 = -2*u. Let x = 1322 + u. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7*t + 632 = 0. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 32 + 8*z)*(-5*z**2 - 100*z + 99*z - 2*z**3 + 34*z**2).\nAnswer: -16*z**4 + 232*z**3 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - h + 29. Let v be d(-7). Let n = -58 - v. What are the prime factors of -1 + n\/2 + (16 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -k - 48. Suppose -2*v + 3*o - 4*o = -10, 2*o + k = 3*v. Calculate the remainder when 8 - 0 - (-2)\/(-2) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0.5. Let d = 4.5 - a. Put d, 1\/4, 0.3 in decreasing order.\nAnswer: d, 0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177637672?\nAnswer: 2, 59, 376351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57553 and 27488.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -624 (base 7) in base 2?\nAnswer: -100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**2 - 165*m = 0.\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -0.5. Let q = 98178 + -98185. Sort 0.5, q, c, -2 in descending order.\nAnswer: 0.5, c, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 4*y - y)*(-29*y + 29*y - 26*y**2) + (0*y**2 + y**2 + 0*y**2)*(3*y - y - 3*y).\nAnswer: -53*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.0031?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 + -106. Let g be -1*(-4 - s\/(-12)). Which is the smallest value? (a) g (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (121\/(-792) - 8\/36)*(-268)\/4422.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1160\/58 - 16) + (-7 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 0 + 180 + 1037 + -1054?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 10*s**2 - s + 1. Suppose 4*c = -c - 50. Is n(c) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 952415 - 892*n**3 + 923*n**3 - 476210 - 476205.\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.044 millilitres in litres?\nAnswer: 0.507044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**4 + 83*w**3 - 1025*w**2 - w - 230348 wrt w?\nAnswer: -36*w**2 + 498*w - 2050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -57. Suppose -4*g = 2*p + p - 88, -87 = -q*g + 2*p. Calculate the greatest common divisor of 57 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 13 - -60 - 25 - -74.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2. Suppose 0 = 4*l + v - 9 + 2, 0 = -4*l - 3*v + 5. Let x(y) = -2*y**l + y**2 + 2*y**2. Calculate x(w(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(6 + 2 + 6 + 2860\/(-198)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16536)\/260*50\/(-3). What is the highest common factor of i and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*v = 24, -7*t - 2*v - 51 = -2*t. Let m(r) = r**3 + 10*r**2 + 8*r - 6. Let c be m(t). Let w be 3*(2\/c)\/2. Let l(x) = -5*x + 1. Calculate l(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.989, 18.9, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -449 + 542 - 93 + 4*d**2. Let h(c) = 321*c. What is h(f(v))?\nAnswer: 1284*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467*c**2 - 2*c - 3*c - 25*c + 30*c.\nAnswer: 467*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 9. Let a(j) be the first derivative of 2\/3*j**n - 2\/5*j**5 + 0*j + 0*j**4 + 1\/6*j**6 - 1\/2*j**2 - 1. Factor a(w).\nAnswer: w*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1268 + -5073\/4. Let s = 0.2 - 0.4. Let y = -281\/9 + 31. What is the nearest to i in 5, s, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204948147*g**3*j**3 + 2*g**3*j**2 + 1243466*g**3 + 2*g*j**2 - 7*g*j + j**2 + 3*j wrt j.\nAnswer: 1229688882*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -124, -83, 60, 353, 844?\n\"Answer: 8*v**3 + 3*v**2 - 24*v - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 56.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 163.0078 - 0.0078. Let g = t + -163.3. Which is the nearest to 3? (a) -1 (b) 4 (c) g (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*f = 38, 1 = 2*k - f + 36. Let m(v) = 0 + 7*v - 6 + 0*v**2 + v**2 + 7*v. Does 15 divide m(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 25. Suppose -4*f = -2*c + 26, a*c + 3*c - 20 = f. Solve 2*n - 10 = c*q - 29, 0 = -q + 2*n + 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 286.40539 - 1446.23749. Let v = 1160.4 + x. Let h = 0.545 - v. Round h to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13727694*w**5 + 124655*w + 24?\nAnswer: 274553880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1764.3 - -1764. Which is the closest to -0.1? (a) f (b) 0.2 (c) 0 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**4 - 5248*x**3 - 56*x**2 + 102.\nAnswer: -48*x - 31488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87857 and 4018.\nAnswer: 7204274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -5*q - 15, 65*g + q - 58 = -61 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -748, 0, 1, -5 in increasing order.\nAnswer: -748, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3170472, -3170667, -3170862, -3171057, -3171252?\nAnswer: -3171447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.18 (b) 1.839 (c) -2\/7 (d) 2\/15 (e) 1 (f) 148\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/8 - 2089*h\/8 + 261.\nAnswer: (h - 2088)*(h - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 7*g**2 - 6*g. Let x be t(4). Calculate the highest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138*j**4 + 27703*j**3 + 203026*j**2 + 7*j + 3?\nAnswer: -3312*j + 166218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4362621 < -4362587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 times 0.0955?\nAnswer: -4.6795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 - -575040?\nAnswer: 575081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 546 - 538. Let u(f) = 3*f**2 + 7*f + 5. Let a(k) = 5*k**2 + 11*k + 8. Calculate g*u(s) - 5*a(s).\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -11. Let d be (-1)\/((-1)\/7 + 0). Suppose 4 = 4*u, 2*r + d + 6 = 5*u. Which is greater: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -3*x**4\/4 + 7*x**3\/6 - x**2\/2 + x - 1072. Let z(f) = -2*f**2. Determine m(z(o)).\nAnswer: -36*o**4 - 14*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*2\/(-120) - (-12 + -55*574\/(-525))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 4000*t**2 + 4000*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12 = -4. Let y be -10*(-2)\/g*1. What is the second derivative of -d - y*d**3 + 3*d + d**3 - 3*d wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986*x + 41313 = -53343 for x.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -8*p - 4*p**2 - 1 - 8 + 3*p**2. Let m be l(-6). Is m != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1967 + 421. Is 40\/12 + -4 - z\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/436 and -73\/202?\nAnswer: 44036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7872 and 9102.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*p + 9008 + 2940 = 513*p for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*v**5 - 194*v**4 + 311*v**3 - 82002818*v**2?\nAnswer: -3840*v**2 - 4656*v + 1866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 8. Let c be j(7). Is (-1 - -1 - c)*127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316 and 5341427?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = w + 2*w - 44, -5*w + 44 = -2*q. Let p = q + 16. Let t = 9 + p. Solve -3*g = t + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532700 rounded to the nearest 1000?\nAnswer: 533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -78, 2, 3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-253)\/7 - (20286 - 20319).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 61. Let d = q - -66. Calculate the remainder when (-30)\/d - (-59 - -1) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/15)\/((-2)\/(-220)). Let p be i - 1 - (-2)\/1. What is p rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 + 2*j. Let a be y(1). What is the second derivative of -2*b + 5*b**3 - a*b + 10*b wrt b?\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18325196 bigger than 18325203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -32*h**2 + 2. Let z(n) be the first derivative of -n**2 + 89. Calculate z(p(r)).\nAnswer: 64*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*2*-6 + 5)**2.\nAnswer: -1440*sqrt(5) + 103705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4918)\/((44\/(-8))\/(-11))*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + u + 4. Let r be (-2 - (-56)\/20) + (-152)\/40. Calculate i(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 134, 195, 254, 311, 366?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010218 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (39085\/(-15))\/((-8)\/6). Let b = g + -1968. Find the common denominator of b and -4 + 1 + (-63)\/(-22).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 + -37. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4836104)\/(-48) - (-195)\/234 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 13 = -3*p - 5, -2*c + 5 = 3*p. Suppose -v - 2*v = -12. Suppose -v*b = -2 - 14. What is the smallest common multiple of c and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 496+210686294\nAnswer: 210686790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 259504 - -15?\nAnswer: 259519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/8, 5.2, 1, 2\/401?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/103, 2\/9, 180, -7, -1\/2 in decreasing order.\nAnswer: 180, 2\/9, 1\/103, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + 4*l)*(-683 - 365 - 328 + 333).\nAnswer: -5215*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/1 - 516\/(-3). Let r be s\/35 + 8\/(-10). Suppose 0*v - 3*j = -3*v - 30899985, 0 = r*v + 3*j + 41200015. Round v to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -671, -1354, -2311, -3542?\nAnswer: -5047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15053 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*u - 115*u + 54901 = 296*u - 1581*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(49) + 2*sqrt(49)*-3 - 2*sqrt(5929))\/(-1*sqrt(252) + -3*sqrt(448)).\nAnswer: 9*sqrt(7)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1810469 to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 284\/(1358656\/(-897)) + (-1)\/((-112)\/(-3))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -3, 0, -1 in descending order.\nAnswer: 0, -1, -3, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 16.19205?\nAnswer: -64.7682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 127*u - 125*u - 2*y, -4*u + 2*y = -54. Solve 0 = -7*g - 10 - u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92452 is divided by 585?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3 - 12*n + 16 = 0. What is n?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1578 is divided by 99.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.148126933 rounded to three decimal places?\nAnswer: 0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 1)*(4*w**2 + 34 - 34) - 2*w**2 + w - w)*(0 - 2 + 0).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + a + 6 = -0*s, 27 = 5*s - 4*a. Let p = -3 + 3. Suppose s*b - 8 - 484 = p. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from uocoyvkkccvcuov.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 + 4*q**4 + 8*q**3 - 10*q**2 - 23*q - 10.\nAnswer: -(q - 5)*(q - 2)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*f - 4*f + 3*j, 4*f = 5*j - 3. What is the third smallest value in -1, -5, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 373384 + -588384. What is h rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -869356, -1738716, -2608074, -3477430, -4346784, -5216136, -6085486?\nAnswer: -6954834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 201\/4 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*j = 7, -319*j - 8 = -2*x - 323*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-30 - 0)) + -36 + 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82\/3 - 21. Let l = 260 - 251. Let b be (1 + l)*((-6)\/(-10))\/1. Is b equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*l**4 - 4840\/9*l - 308\/3*l**2 - 8*l**3 - 2662\/3.\nAnswer: -2*(l + 3)*(l + 11)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/35*1)\/((-9)\/15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.21453 rounded to 1 dp?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.3905 - -3780.3905. Which is smaller: -0.3 or s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/(-8))\/25*(-4)\/6*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 14243?\nAnswer: 14244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 4560?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2655709570 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3068?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13049 by -1639.\nAnswer: 13049\/1639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 41 = 13. Let i(b) = b**2 + 8*b + 10. Let h be i(t). Suppose 4*z = 3*w + 1, -w - 8 = -5*z - 4*w. What is the third biggest value in 2\/9, z, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -5. Let u = d + 1.3. Let o = u + -0.4. What is o rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 68*w**2 - 14*w - 18. Let b be x(-3). Calculate the greatest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 38 - 48 + 2*l**2 - 37.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 31. Let w = c - -76. Suppose 2*j = 3*b + 2*b - w, -3*j - 42 = -4*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298644737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5\/3. What is the smallest value in y, 0.06, 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*16\/12. Let d be 3*c*(-1)\/3. Solve -3*b = 0, -5*l = b - d*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310214 (base 5) to base 8\nAnswer: 23513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 430580122 divided by 3.\nAnswer: 430580122\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 5*q**2 - 5*q - 1. Let t be y(-4). Suppose 112 = t*z + 7. Suppose z + 46 = 3*v. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**4*o)**(1\/14))**1 assuming o is positive.\nAnswer: o**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 3*r**2 - 2*r**2 + 2 - 9*r**3 + 18*r**2.\nAnswer: -9*r**3 + 13*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -666 - l**3 - 661 + 1327.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 2)*(1927 - 1935 - 2*t + 31*t) + 2*t - t - 2*t as r*t + k and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1692 + 1734. Solve -38*t - 12 = -p*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.62 * 13\nAnswer: -34.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 636.6647 rounded to 1 dp?\nAnswer: 636.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89716657?\nAnswer: 6299, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 79*g - 1 - 132*g - 107*g in the form y + j*g and give j.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(((28*5\/15)\/2)\/((-4)\/12))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 435959759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -556 - -559.93. Let o = 0.07 + i. Let x = 2.6527 - 1.6527. What is the third smallest value in -4\/7, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = 5. What is the second derivative of -j + 0*j - 3*j**4 + 2*j**4 + 5*j**p wrt j?\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210*j**3 - j + 215*j**3 + 3*j + 2*j**4 to the form a*j**3 + f*j**4 + r*j**2 + i*j + x and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*i + 1 - 5*i - 3*i wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 2\/15*b**3 - 2\/5*b**2 + 2 + 0*b. Factor m(d).\nAnswer: 2*d*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/6, -5, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.004135, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18486 - -28675. What is the remainder when s is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*n**2 - 3*n + 18*n**2 + 22*n**2 + 3*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(7))*-2.\nAnswer: -10*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 2.3.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k + 16 = 2*b, b + 4*k + 4 = 0. Suppose -b*i = -70482 - 5518. Round i to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -0.3 (c) -102 (d) 26\/7 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3874428 divided by 1937214.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Let b(d) = -d + 38. What is x(b(c))?\nAnswer: -c + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 59501 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1009.58 and -0.4064752.\nAnswer: -1009.9864752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18 - -69)*2\/(-2). Let m = 91 + t. Does 3 divide (-72)\/m*(-7)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -305 - -302. Which is the nearest to -6? (a) 2\/7 (b) p (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -141, -329, -603, -969, -1433, -2001?\nAnswer: -2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -770\/3*s + 2\/3*s**3 - 382\/3*s**2 - 386\/3 = 0.\nAnswer: -1, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*f**3 + 64*f**3 + 39*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-15)\/(t\/(t*t**(5\/2)*t)*t))\/((t\/(t\/((t*t*t**(-4))\/t)))\/t**(-41)))**(-2\/145) assuming t is positive.\nAnswer: t**(101\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}