diff --git "a/data/dm_maths/full_data_2/1822_11255.jsonl" "b/data/dm_maths/full_data_2/1822_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1822_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -1592204.6 rounded to the nearest one thousand?\nAnswer: -1592000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -268, -5, 1, -2, -681 in descending order.\nAnswer: 1, -2, -5, -268, -681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4061 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, -4, 65, 0.05, -35 in ascending order.\nAnswer: -35, -4, 0.05, 65, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.066\nAnswer: -0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 625405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/1332 - -15149\/3330. Calculate the common denominator of c and -19\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1300871759 to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2664, 5168, 7690, 10230, 12788?\nAnswer: 15364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 + 19 = 2*z. Let h = -45227 - -45482. What is the highest common divisor of h and z?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkaakak.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25455 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -739 - -738. What is the fourth biggest value in l, -2, 0.0342, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 121?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5657 less than -0.11897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119388.\nAnswer: 2, 3, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11222021 - 120020201?\nAnswer: -202012222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 402023 + -41334?\nAnswer: 310134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31117)\/407 + 43 - 18\/33?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(((-63)\/(-245))\/(-9)). Let b = q + -39. Let l(z) = -5*z**2 - 5*z + 5. Let s(d) = 2*d**2 + 2*d - 2. Determine b*l(t) - 9*s(t).\nAnswer: 2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 28 + -16 + 17\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(88) - (sqrt(88) + sqrt(88)*-2 + sqrt(88))))\/(-1*sqrt(128)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017568536 to four dps.\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 20.828025s?\nAnswer: 0.0057855625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**4 + 2*n**4 - 3*n**4 + (3*n**4 + 2*n**2 - 2*n**2)*(0 + 2 - 1).\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -76705 - 21?\nAnswer: -76726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**6\/10 - r**5\/60 - r**4\/2 + 7*r**3\/2 + 166*r**2. List the prime factors of d(4).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2116 is divided by 135.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/9, 3\/62, 3, -5, 2\/21, -133?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 6 = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:48 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-1 + sqrt(102)\/sqrt(150).\nAnswer: -14*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84480 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386000, -771997, -1157994, -1543991, -1929988?\nAnswer: -2315985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -0.5\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 285157340?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1153, 1661, 1949, 2017, 1865, 1493, 901?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (-2 + -1 - 11). Let o = a + -11. Let r(y) = 11 + o*y + 0*y - y**2. Give r(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14768630 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 6*b. Let j be m(-6). Let o be j\/((6 + -4)\/(-2)). Find the first derivative of -5 - 13*y**3 - 2 + o + 23*y**3 wrt y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 greater than 308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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: Suppose -14 = -3*g - 2. Solve -11 = 5*p + g*y, 1 = 5*y - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4395700 at least as big as 4395699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:04 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10471367 is divided by 5381.\nAnswer: 5322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278323700.\nAnswer: 2, 5, 181, 15377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76300.45ug to tonnes.\nAnswer: 0.00000007630045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 + 4*i**3 - 9*i**2 - 8*i**2.\nAnswer: 4*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14\/11 + 142\/77. Let d(m) = m + 13. Suppose h - 3*h = 20. Let f be d(h). What is the third biggest value in f, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(-6*y**2 + 23*y**2 + 34*y**2) + (55 + 5*y - 55)*(-2*y - y + 2*y) to p + b*y + a*y**2 and give a.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3\/7 + 10*s**2\/7 + 2*s\/7 - 10\/7 = 0 for s.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a. Let g be s(-13). Let r(j) = 60 + j**3 + j**2 + j - g + 209. Is r(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 23*p - 62. Let v be b(-19). Suppose v*u = 11*u + 879. List the prime factors of u.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let m(a) = 10*a + 221. Let n be m(-22). What is the smallest value in i, 4, 2, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 843.189 to the nearest ten.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 3*s**3 - 4*s**2 + 2*s - 8. Is o(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*d**3 + 96*d**3 - 40*d**2 + 40*d**2.\nAnswer: 157*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6960912958452 and 0.5?\nAnswer: 6960912958451.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 831686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.1 - 6.092. Is i at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 4*r**2 + 1. Let z(f) = 7*f**2 - 3*f + 2. What is the lowest common multiple of n(3) and z(1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -8*o - 4. Let a be f(-3). Does 8 divide (a - 1)*(-4 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + k**2 - 7*k - 8. What is the remainder when i(-2) is divided by ((-12)\/(-9))\/(10\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/236 - (-182991)\/42716.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*2*-4 + -1. Let g(h) = 1477 - 2039 + 568 + h. What is g(x)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2719037 is divided by 116.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {o: 5, a: 1, h: 2, j: 2, r: 2, m: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {y: 4, i: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 6*l - 4*l + 20 = -4*l + 5*l, -15 + 9 = -o + l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002012131131 (base 4) in base 16?\nAnswer: 108675d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 9:16 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5695913?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + (-15)\/(-12))*-4. Suppose p*j - 296 = -j. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*u = 271*u - 540 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*i**2 - 5 - 46*i**2 - 22*i**2 + 5 - 965*i + 965*i.\nAnswer: -118*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 13, f: 5}. What is prob of picking 2 i?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 1982. Let j(h) = 25*h**2. Determine j(t(p)).\nAnswer: 25*p**2 - 99100*p + 98208100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 1170*d - 2337*d - 20 = -1170*d, -2*d - 7 + 22 = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-3 - 9 - -16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 6765 and 1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 1:33 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 5*o - 3*o)*(-4 - 54 - 8)*(12 - 22 - 54).\nAnswer: -4224*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14024.5 times 101\nAnswer: -1416474.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130371961.\nAnswer: 1439, 90599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062872959 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aia when three letters picked without replacement from giiaigiiga.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/49)*q**14\/q assuming q is positive.\nAnswer: q**(635\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135895862?\nAnswer: 2, 4937, 13763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 88 = -5*j. Let x(h) = h**2 - 16*h - 16. Let u be x(j). What is the nearest to u in -3, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**4\/4 - 2*a**3 - a**2 + 4*a - 15. What is p(5)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/72*45\/(-25).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/60 - 5*c**4\/12 - 5*c**3\/6 - 2*c**2. Let z be y(-9). Suppose 2*t - t + 180 = 5*m, -z*m + 163 = 3*t. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 4:16 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 4240147022995.\nAnswer: 4240147022997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12492 (base 10) in base 15?\nAnswer: -3a7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 557560 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0633441 + -0.3266637. Let n = 37.61 + -38. Let l = i - n. What is l rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1595 + 10332. What are the prime factors of f?\nAnswer: 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*r**3)*(6 - 4 + 1)*(-r**2 + 2*r**2 + 0*r**2 - r + 2*r**2 + r + (0 + 1 - 2)*(0*r + 0*r - 2*r**2) + 4*r**2 + 0*r**2 - 2*r**2).\nAnswer: -42*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(2\/5)*p))\/p)\/(p**(-1)\/p*p)*p\/(p\/(p\/(p\/(p\/((p**9*p)\/p)))))*p*p**(-1\/7) assuming p is positive.\nAnswer: p**(-264\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 599771782 or 2\/5?\nAnswer: 599771782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1 + 24\/28\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*p + p. Let m = -4 + p. Suppose m*l = -16 + 112. What is the highest common factor of 16 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 57 = 2*s - 0*s, 107 = 4*s - 5*d. Suppose -109 = -s*m - 25. Solve -1 - m = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, a: 15}. Give prob of picking 2 a.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/4 (c) -1444 (d) -4 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -4*v**2 + 0*v - 5\/84*v**7 + 2\/15*v**5 + 0 + 0*v**3 + 1\/48*v**6 + 1\/12*v**4. Solve l(g) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9371 is divided by 361.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + k**2)*(2*k + 0*k - 3*k) + (-2 + 2*k + 2)*(5315 + 654 - 24454)*(-2*k**2 + 0*k**2 + k**2) as q*k**3 + o*k**2 + x + v*k and give q.\nAnswer: 36969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 97007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10.9 (b) 0.5 (c) -274\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77023 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1776.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*y = 5*m - 9, m + y - 8 = 0. Suppose -q + 13 = m. Solve -11*g + q*g = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a0 - c3ee6?\nAnswer: -c3e46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5 + 15 = -2*f, 0 = -3*d - f + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 69 = -85. Solve -c = -8*d - 0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 36, 40, 44, 48?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**4 + 4612*w**3 + 6*w**2 - 7*w - 292183 with respect to w.\nAnswer: 8*w**3 + 13836*w**2 + 12*w - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 1:54 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 5*l - 5. Let p(a) = -3*a**2 - 8*a + 8. Let c(h) = -2*h + 11. Let k be c(0). Suppose -j + k = 3. Calculate j*d(q) + 5*p(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 4*g**2 + 2*g. Let v = 241 - 246. Let d(j) = -2*j**3 + 5*j**2 - j. Give v*m(u) - 4*d(u).\nAnswer: -2*u**3 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -670\/177?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u + 11. Suppose 0*s + 38 = 3*z + 5*s, 4*s = 16. What is the units digit of k(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 2*f + 65 = 0, -2*b - 1056*f + 1057*f - 13 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49662 and 417766?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1476 times 14\nAnswer: 20664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -527*o**4\/24 - 101*o**3\/6 - 13*o**2 - 2. Let m be c(7). Round m to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54611, -51976, -49341, -46706, -44071, -41436?\nAnswer: -38801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 9:29 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 34*a**2 - a + 7. Let o be (0 + 1 - 4)\/(-1). Let y be r(o). Suppose -3*s - b + 0*b + 233 = 0, -4*s - b + y = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 103 - 1066a?\nAnswer: -10567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -529b (base 12) to base 2.\nAnswer: -10001101010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gozz when four letters picked without replacement from {w: 1, z: 5, x: 4, g: 1, o: 3, i: 3}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to 0.0998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1524)\/(-635))\/((-4)\/10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/4*(-1)\/(-5)*(-152)\/38.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55504431 + 4?\nAnswer: -55504423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 639570772 to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.33607953 to 2 decimal places.\nAnswer: -2.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2888*k**2 + 2*k + 8840.\nAnswer: -5776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -30.53533, 0.2, 1\/3, -3, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 61\/5, 3, 4\/7, 4896, 2\/3 in decreasing order.\nAnswer: 4896, 61\/5, 3, 2\/3, 4\/7, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -6, -10, -18, -30, -46, -66?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + (sqrt(175) - ((2 + sqrt(175) + 1)**2 + sqrt(175))) + 2*sqrt(175) + 4.\nAnswer: -180 - 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -169220 less than -169222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3 - 1. Let h be (-2 - 2*-1)\/(-2). What is the second derivative of v + b*v**2 + v + h*v wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47892 by 1807.\nAnswer: -3684\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 10*f = -66, -6*y - 6*y - 332*f = -10*y - 331*f + 9 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-910)\/(-441) + (-2429)\/3123.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6 + 2 - 8 + 3*r**3 - 2*r - 1 - 4*r**3 - 15*r**2. What is v(-15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 12) to base 5.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127155 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - -6*(sqrt(243) + 3*sqrt(243) + sqrt(243)) - (2 + 4 + sqrt(243)) - (sqrt(243) + -3*(-2 + sqrt(243)) - sqrt(243) - (sqrt(243) + 3 + 1)))**2.\nAnswer: -4896*sqrt(3) + 280972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -204, -215, -248, -315, -428?\n\"Answer: -2*l**3 + l**2 - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from ngjxxjs.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3833 and 464.\nAnswer: 1778512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(-1 + sqrt(68) + sqrt(68)) - (-5 + (2*sqrt(68) - sqrt(68)) + sqrt(68) + sqrt(68) + (sqrt(68) - -4*sqrt(68)*1)))**2.\nAnswer: -1120*sqrt(17) + 27396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 11780*s + 11781.\nAnswer: -(s - 1)*(s + 11781)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -38*m. Let l(b) = b**3 + 38*b. Give -3*f(g) - 2*l(g).\nAnswer: -2*g**3 + 38*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*-5*(sqrt(242) + 2).\nAnswer: 120 + 660*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.14598675 + -0.146. Round r to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(1728)*3)\/(-2*(sqrt(64) - 2*sqrt(64))*5).\nAnswer: 54*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -152, -316, -492, -686, -904, -1152?\n\"Answer: -j**3 - 157*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3947 - -3955. Which is smaller: -0.418 or z?\nAnswer: -0.418","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1229487 millennia?\nAnswer: 1475.3844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-6)\/4)*2. Suppose -5*n + 41 = 4*s, -2*s = 5*n - 3*s - 46. Let a = n + -4. Solve -2*t + 19 = -m*v, a*t + 10 = v - 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x + 11. Let m(h) = -h**2 - h + 8*h**2 + h**2 - h**3 + h**2 + 2. Let y be m(9). What are the prime factors of r(y)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -12, 22, -1, -444 in descending order.\nAnswer: 22, -1, -3, -12, -444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -98429546\nAnswer: 29528863.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 3113117\nAnswer: -38\/3113117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/27 - 2\/(-9). Let t be ((-40)\/(-15))\/(4\/18). Let g = 13 - t. Do g and i have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - v**2 + 0*v**2)*(0 + 1 - 3)*(2 - 2 + 2 + (5 - 2 - 4)*(-2 + 3 - 2)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(2\/35))\/((-4585)\/1965)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -553*u**4 - 5100*u**3 + 5100*u**3 + (-5*u**3 - u**3 + 5*u**3)*(2 - 2*u - 2).\nAnswer: -551*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 4*r - 255. Let a be (-2)\/(-10) - r\/(-5). Suppose 3*v - 2 = 5*q - a, -6 = 4*v - 5*q. Solve -v = -k + 2*c, 5*k + 33 = -2*c + 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1\/12 (c) -2 (d) 15 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrorrrrrroorrrrr?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03248821 rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 62221549 and 62221548 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258454801.\nAnswer: 11, 23495891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 4240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.4 - 2.6438331.\nAnswer: -22.0438331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4434, -18678, -42838, -76920, -120930?\nAnswer: -174874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 25 - 2*o**2)*(3*o**2 + 4*o**2 - 6*o**2).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -1)*0\/(-6 + -4). Solve -3*f + 7*f - 4 = x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18 + 12 + (0 - -5). Let b be 64\/14 - (k + (-8)\/(-14)). Solve -b*m = -8*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 15*y - 12. Let f(m) = -m**2 - 5*m - 4. Let t(s) = 8*f(s) - 3*p(s). Let o = 11 + -7. Suppose 5 = o*z - 11. Determine t(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qunnnkuqknnq. What is prob of picking 2 q and 1 k?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10424.\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/12 - 3\/6. Let o = 24527\/7 - 3511. Let r = o + 48\/7. Sort l, r, -3\/5.\nAnswer: -3\/5, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*w**4\/2 + 1940*w**3 + 129377*w**2\/2 - 13467*w.\nAnswer: w*(w + 67)**2*(29*w - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*3\/(2*-3)*-3. Let r(w) = 4*w - 55. Let k be r(o). Solve 0 = 2*c - k + 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73 - 17*y**2 + 3*y + 73)*(31 - y**2 - 3*y**2 - 30) to the form k*y**3 + z*y**2 + g*y**4 + h + c*y and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1051.8 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -904*m + 7344. Determine g(8).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 - 21. Let o = r + -47.0084. What is o rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 - 3*z - 2. Let u(o) = 8*o**2 + 8*o + 5. Let v(i) = -11*q(i) - 4*u(i). Suppose -2*b + 0 = 4. What is v(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h - 63. What is the lowest common multiple of 2 and b(17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*u - 1206 - 301 + 114*u.\nAnswer: 54*u - 1507","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 10*o - 2142 + 2082. Which is the closest to -1? (a) 1 (b) -13 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(242) + -1*sqrt(242) + -2 - (5*(sqrt(242) + sqrt(242)*-2) - sqrt(242)))**2.\nAnswer: -264*sqrt(2) + 8712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -30 (b) -4 (c) 0.1026 (d) 1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**2 + 48*l + 51 = 0?\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991 is divided by 245?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 4*s**2 + 6*s + 7. Calculate i(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**5\/4 + 24121*b**4 + 2327387041*b**3\/4 + 2327001113*b**2\/2 - 2327387045*b - 4654388162 = 0.\nAnswer: -48241, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -169955 <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c = -21. Let t(j) be the second derivative of 7*j**4\/12 + j**3 - 5*j**2\/2 - 3*j. Let b be t(c). Round b to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438 a factor of 2534032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 + 160. Suppose -28*a + 626 + 396 = 45*a. What is the highest common factor of a and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-416)\/(-68) - (-10)\/(-85). Factor -3\/2*k - o*k**2 + 0.\nAnswer: -3*k*(4*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**3\/3 + 4*q**2 - 14*q - 2. Suppose 4*d - 52 = -92. What is g(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/64 and 87\/298960.\nAnswer: 1195840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -413048, 1, -2 in ascending order.\nAnswer: -413048, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.91003825 + -17.91. Round c to 6 decimal places.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1423310736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.23 - 1.4. Let r = 0.15 + p. Let u = r + -0.06. Round u to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1 - 2.2. Let o = 0.06 + -2.06. Let u = 1 + o. What is the closest to u in v, -2\/11, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31, 32, 33?\n\"Answer: n + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*42372\/(-9416)*128\/18\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 1\/6, 0.3, 7, 552.\nAnswer: 0.02, 1\/6, 0.3, 7, 552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 337 + -333. Let r(l) = 2*l**2 + 2*l - 6. Let c be r(2). What is the third derivative of c*f**4 - 41*f**2 + 3*f**2 - 23*f**p wrt f?\nAnswer: -408*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-44 - -118 - 38)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809619 is divided by 367?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 386 and 6.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -55cc + 40?\nAnswer: -558c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1*(-2)\/(-4)). Suppose c - 13 = -5*a + 2*c, 25 = 5*a - 5*c. Find the third derivative of -a*l**3 + v*l**4 - 3*l**4 - l**2 + 2*l**3 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -59 + -7 + 14 + (10 + -16 - 0).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/4 of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 147156.\nAnswer: -588624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 492 + 289. List the prime factors of s.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 times 12285289\nAnswer: 331702803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-276)\/184)\/((-3)\/4)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 1648*z - 169744.\nAnswer: -4*(z - 206)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*3*(-2)\/18*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -8624.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-1772)\/(-16834) - 468460\/(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 6*q**2 - 2*q + 4. Let r be c(6). List the prime factors of (108\/(-10))\/(r\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 477103 and 1908412?\nAnswer: 1908412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 16278031?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(52) + -4)*3 + (sqrt(208)*-2)\/sqrt(4))**2.\nAnswer: -588 + 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7969 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 12*m**2 - 37*m + 31*m + 2 - m**2. Let g be (6\/(-10))\/((-7)\/210*2). Let k be o(g). Calculate the greatest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 6 = -13*c + 2. Solve 2*h = c*w + 6*h, -2*w - h + 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 q when three letters picked without replacement from rnrnrnrnrqnrdrrrqn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172857.\nAnswer: 3, 157, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**3 - 190668*m**2 - 2158643520*m + 2738069132544 = 0?\nAnswer: -24408, 1149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246713122?\nAnswer: 2, 2221, 55541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 13*c**4\/6 - 22*c. Let n(q) = -2*q + 7*q - 2*q - 2*q. What is i(n(s))?\nAnswer: 26*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0589 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 27030880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -91447?\nAnswer: 44\/91447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**3\/6 - 31*x**2\/4 + 90*x - 5655. Factor l(v).\nAnswer: -(v - 5)*(v + 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174868422 - -84150344. Let c = h + 90718128.699683. Let d = c + -50.7. Round d to 5 decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 251375952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-91)\/21*-1)\/((-2)\/(-102)). Let i = n - 219. Solve 6*d = 4*d + i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*h + 895 = -2*p, -5*h - 2782*p - 10 = -2785*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 370 or 360?\nAnswer: 370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2)*(-p + 3*p - 4*p) - 3*p + p + p)*(p**2 + 0*p**2 - 2*p**2).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2109 + -2107. Put -14, 5, w, 3, -4 in increasing order.\nAnswer: -14, -4, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1561 is divided by 754?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/5112350?\nAnswer: 3\/5112350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*x + 188, 0 = 7*s - 10*s + x + 307. What is the highest common divisor of s and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435263 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 405\/90 + (-9)\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 278431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2148, -8522, -19108, -33888, -52844, -75958, -103212?\nAnswer: -134588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 5) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/20 - 24\/(-10). Let m(a) = 3*a**3 + 2*a**2 - a - 1. Does 19 divide m(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -0.5, -2\/13, -2\/11 in descending order.\nAnswer: -2\/13, -2\/11, -0.5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3215159?\nAnswer: 17, 189127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {p: 1, d: 1, w: 1, r: 3, c: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 118*x + 1. Let q(u) = 4*u**2. What is q(c(d))?\nAnswer: 55696*d**2 + 944*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.75 - 1468.296.\nAnswer: -1469.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 39*g**2 - 3*g - 172. What is d(-39)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (9 - (-8 - (-6 - -4 - 11))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 7) in base 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 2*u + 1. Let n(z) = -z**3 - z**2 + 5*z + 3. Let j(h) = -h**3 - 2*h**2 + 44*h - 37. Let x be j(-8). What is x*c(o) + 2*n(o)?\nAnswer: -2*o**3 + 3*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 534210.589 + 14857?\nAnswer: 549067.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2230?\nAnswer: -1\/446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002447 to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/41, -11, 3, -0.058, 0.33?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 9. Let u(j) = -4*j + 4*j - 2*j - 10. Suppose -226 = -2*c - 220. Let p(l) = c*x(l) + 2*u(l). Calculate p(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l + 55 = -0*l + 17 - 151 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -2, -5, -2009, -10 in decreasing order.\nAnswer: 5, -1, -2, -5, -10, -2009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3 (base 16) in base 4?\nAnswer: -2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 - -4 - 0) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 211988065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1984563 and -173\/145656?\nAnswer: 15876504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9157110 is divided by 412.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-33) - (-12)\/66. What is the third smallest value in 2, t, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221220111 - 21120?\nAnswer: 221121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 1. Let k(g) = -2*g - 5. Suppose -5*l + 21 = 2*l. Suppose 23 = -2*b - l*v, v + 12 + 5 = -3*b. What is b*d(s) - k(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -85046 + 6?\nAnswer: -85040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 43*o**6\/120 + o**5\/60 - o**4\/24 - 5*o**2. What is the tens digit of z(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -251.31 - -4.31. Let u = f + 248. Let g = -262\/13 + 20. What is the closest to -1 in u, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -199 or -200?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 325 - 281. What is the highest common factor of 33 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*p + 12, 6 + 12 = 5*p + 4*a. Suppose 2 = q + f, f + 2 = q - p*f. Let o be (2 - 1)\/(-5 + 6). Solve 0 = h - q*h - o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 142 or 136?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4) + -47 - (-17 - (-30 + 22))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 4)*-2 - (-47)\/(19129\/2368)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700755.\nAnswer: 3, 5, 11, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 101*5003324\nAnswer: 505335724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p - 6 - 9*p**3 + 33*p**3 - 2 - 27*p**3 to m*p + x*p**3 + f*p**2 + j and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Let k(c) = -c**2 - 4*c + 3*c + 6 + 3*c + 2*c**s. List the prime factors of k(3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 0 + 1\/24*y**4 - 3*y**2 + y - 11\/6*y**3. Give p(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -3475\nAnswer: -3475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -567 - -566.4. What is the nearest to -1 in -4, b, 1.9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4040 (base 6) in base 2?\nAnswer: 1101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-1 + (1 - 3) + 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4460\/(-1561))\/(225\/1071)?\nAnswer: -68\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 - 148 + 47 - 93)*(7*b**2 + 5 - 5).\nAnswer: -1673*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrr. Give prob of sequence rrv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1856343569?\nAnswer: 5399, 343831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2. Let g(z) = -1070*z**2. Calculate g(w(i)).\nAnswer: -1070*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -21, 203, -4.\nAnswer: -21, -4, 1, 5, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52139802*u**2 - 94182855*u.\nAnswer: 104279604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*j + 110*j - 8*j**2 - 35*j)*(2*j**3 - 3*j**3 + 0*j**3).\nAnswer: 8*j**5 + 46*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -12.8. Let q = -2.105 - -2.305. Which is the closest to u? (a) q (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:14 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-238)\/(-15) + (-3)\/(-45)*2. Solve 5*j - 2*s + h = j, -4*j - 5*s - 30 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16415 and 116410.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**5\/g*g**(5\/2)*g)\/(g**0\/(g\/(g\/(g**(3\/2)*g)*g))))**(-2\/5))**29 assuming g is positive.\nAnswer: g**(-522\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/2909787 and 67\/567.\nAnswer: 549949743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10767 (base 8) in base 2?\nAnswer: -1000111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*(sqrt(80) + -1 + -1)**2*3*2.\nAnswer: -506 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14 - 6\/3) + 0. Let a = -12 + n. Solve 4*u + 9 + 5 = -j, -j + 4*u + 18 = a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 2*j = -1719. What is the second derivative of 31*w**2 + 6*w - 18*w + 94*w**3 + 2 + 95*w**3 - j*w**3 wrt w?\nAnswer: -12*w + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + 33. Let o = f + -48. Solve -g = o*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2658.357 days to minutes.\nAnswer: 3828034.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(357)*4)\/sqrt(7))\/(sqrt(96)\/sqrt(8)*6).\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1150\/368 - -4*15\/(-24)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-55964)\/(-19752) + 57\/18. Factor -f + 5\/8*w**2 + 59\/4*w.\nAnswer: (w + 24)*(5*w - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 32. What is the highest common factor of u and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d - 3. Suppose 0 = -6*q - 0*q. Let p(r) = 2 - 7 + 6*r + q*r**2 + 4*r**d - 5*r**2. Determine p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4 + sqrt(153) + 2 + 0 + sqrt(153)*-2 + -5)**2.\nAnswer: 60*sqrt(17) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1779 - 691858*f + 886 - 1108022*f + 893.\nAnswer: -1799880*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 9. Suppose -5*k - 25 = -3*d, 3*d - r*d + k = -7. Let u be (-14)\/(-133) - 110\/(-38). Is u less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1901 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:46 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k - 13*k - 112368*k**3 + 2*k.\nAnswer: -112368*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3. Let h(f) = f**3 + f**2 + f - 1. Let d be h(-2). Let r(l) = -2. Let n(a) = d*r(a) - 5*u(a). Let p(k) = -k + 11. Give -22*n(x) - 2*p(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 + 17*d + 20. Let n(f) = -f**2 + 6*f + 7. What is 17*n(t) - 6*o(t)?\nAnswer: 7*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20613 is divided by 48?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.097 (b) -2 (c) -0.076 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/999*7\/((-133)\/114)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 25415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 0.17, -1.3, 28, -1, 1 in decreasing order.\nAnswer: 28, 5, 1, 0.17, -1, -1.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 14*w**2 - 20. What is b(-14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41263, 82963, 125529, 169393, 214987, 262743, 313093, 366469?\n\"Answer: 72*j**3 + j**2 + 41193*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 2132797?\nAnswer: 5\/2132797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 36.9. Let m = y + -3. Suppose -5*f + 2 = -3. Are f and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 63163, 63186, 63209, 63232, 63255?\n\"Answer: 23*k + 63140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 2:10 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c + 3. Let q be w(1). Suppose 6*d - 2392 = -q*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*a - 2*i = -77*a - 7, -4*i + 25 = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.33 and -0.4.\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + (-23)\/(-5) - -1. Is k smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 7*o**2 - 1. Let w be 59 - (1 + -1 + 2). Suppose -22 = -5*d - w. Let b be f(d). What is the closest to 1 in 0.5, b, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s = -43*s - 4*u + 6955, 0 = 2*s + u - 4635. Does 89 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/178?\nAnswer: 3\/178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pltlplcpnpnt. Give prob of picking 2 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + m - 3*m)*(3*m - 3*m + m**2) + (-3 + 5 - 1)*(-4*m**3 + 5*m**3 - 2*m**3) + (3*m + 1 - 1)*(2*m**2 + m**2 - 6*m**2) + 0*m**3 + 0*m**3 + m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4100187733, -4100187734, -4100187735, -4100187736?\n\"Answer: -k - 4100187732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -64, -128, -212, -316, -440?\n\"Answer: -10*p**2 - 14*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**3\/6 + 38*n**2\/3 + 473*n\/2 = 0?\nAnswer: -43, -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 - 7*o + 13. Suppose 5*p = -g - 11, 4*p + 6*g + 12 = 2*g. Let v(n) = n**2 - 3*n + 6. Let z(y) = p*d(y) + 5*v(y). Calculate z(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/10 + 2\/(-4). Let n(r) = 10*r**3 + r + 1. Give n(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 10:00 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3296356 + -0.1103?\nAnswer: 3296355.8897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1800 = 63*a - 3*a. Let d(w) = -a + 735*w - 7 + 1 - 734*w. Determine d(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45764189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -6*j**4\/5 + 768*j**3\/5 - 23796*j**2\/5 - 9984*j - 5070 = 0.\nAnswer: -1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 - 9*z**2 + 2. Let j(l) = 10*l**3 + 28*l**2 - 6. Let v(c) = 2*j(c) + 7*r(c). Let y = 8 + -15. Calculate v(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3710 - -3714. Solve -2*q = -3*v - 6 + 25, q = -3*v + z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10965 by -1.\nAnswer: -10965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - p - 1. Give m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591362 is divided by 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3410 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4916.\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 11981, -5, -10 in decreasing order.\nAnswer: 11981, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tptptttpttttpptt. Give prob of picking 1 p and 2 t.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -427 times 70624\nAnswer: -30156448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -a + 62. Suppose -3*y + 168 = -210. Let b = y - a. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Let i(p) = p + 3. Let x be i(-6). Is 206\/3 + v\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 512\/3*v**3 - 153*v - 32\/3*v**4 + 0*v**2 + 1 + 1\/5*v**5. Solve d(a) = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j = 5. What is the units digit of (-20)\/j*(-10)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62478265*j**4 - 4977684*j**2 + 2.\nAnswer: 1499478360*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:38 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**11\/55440 + p**7\/630 - p**4\/12 + 4*p. Let j(o) be the third derivative of v(o). Find the third derivative of j(n) wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13\/3 (b) -6.94 (c) -0.3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21296, -42606, -63916, -85226?\nAnswer: -106536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(624)\/sqrt(3) - sqrt(13) - (-4 + sqrt(13)*1).\nAnswer: 4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/10*20\/(-285)*76725\/6138.\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1020 + 1020.3. What is the second smallest value in 2\/3, 5, 64, k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*x + 12. Let i(s) = 7*s - 7. Let t(w) be the first derivative of 3*w**2 - 6*w - 2. Give x*t(a) + 4*i(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6626844, -13253693, -19880542, -26507391?\nAnswer: -33134240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -7.8\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 5:31 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 17*a - 41*a. Let b(k) be the second derivative of 0 - 31\/2*k**2 - k**3 + a*k. What is the derivative of b(j) wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q. Let a(b) = 4*b. Let h(w) = -5*a(w) - 3*m(w). Let g(u) = 688 - 346 - 342 + 5*u. What is h(g(s))?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w. Let b(s) = -2*s + 5. Let n(c) = -c + 2. Let v = 5 - 7. Let z(i) = v*b(i) + 5*n(i). What is z(l(r))?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 485 + -3815\/8. Let d be (-1 + (-3 - -3))*1884. Let j = d + 7617\/4. What is the common denominator of j and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - 1) + 114 + -117. Let b(j) be the first derivative of 0*j + 2\/15*j**h + 0*j**2 + 9 - 1\/2*j**4 + 4\/9*j**3. Find c, given that b(c) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 + 81 = 5*m - 5*c, -4*c = 5*m + 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -956.13 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011021010110 (base 3) in base 5?\nAnswer: -124142434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14948 and 61004.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnnnart. Give prob of sequence trn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 23. Let p be h(10). Let k be (-12)\/(-8)*4\/3. What is the third derivative of -3*f**2 + 0*f**3 + 9*f**3 - k*f**p - 4*f**3 wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llldlllldl. What is prob of picking 2 d and 2 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/646 and -63\/340.\nAnswer: 6460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 21 = 4*q + 7, 3*q - 5*w - 5 = 0. Suppose 0*h + 5*h + 3*g - 93 = 0, 0 = -q*h + 2*g + 113. Calculate the lowest common multiple of h and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/26 - (542\/26 + -21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*g + 4 = 0, 4*u = -9*g + 5*g - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5 = 4*f, 2*f + 2 + 2 = 2*z. Suppose 4727 = 4*q + 2*o + 761, 0 = -5*q + z*o + 4941. Round q to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*b + 2226*b + 725*b + 5903 - 68303 = 0 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22538 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, m: 4, d: 3, g: 12}. Give prob of picking 1 m, 2 g, and 1 q.\nAnswer: 88\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*q**2 + 1\/2 - 5\/4*q**3 + 5\/4*q = 0 for q.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980) + 4*sqrt(1980))\/sqrt(5).\nAnswer: 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105*0.9.\nAnswer: 94.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5\/2 (b) 0.38 (c) -4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 3 - 3 - (-20 - -14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/36066 and -83\/5038?\nAnswer: 90850254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1036 is divided by 86?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32500)\/500*2\/10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.7 + 17.6926. Round d to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 >= 397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a factor of 1283082716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2610 - k - 10*k**2 - k - 2603. Let z(h) = 9*h**2 + 2*h - 6. Let t(b) = -5*u(b) - 6*z(b). Give t(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*1 + sqrt(1331))*-6.\nAnswer: -132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from {p: 12, j: 6, t: 1}.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62919184 is divided by 56.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 1 - 27 + 9*z - 35 - 10. Let n be c(9). Is n at most 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 equal to 5157\/1016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(3*q - 3*q + q)*(7 - 1 - 1)*(-2 + 2 - 1).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f + 13267 - 26552 - 2*f**2 - 13*f + 13304. What is v(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/60*3)\/(4\/(-40))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153066271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 4*p**3 + 4*p + p**2 + p**3 in the form g*p**2 + l*p**3 + n + d*p and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) + 2 - sqrt(1008)) + 3 + ((5 + sqrt(1008))*-4)**2)*4 + 4)*6.\nAnswer: 46080*sqrt(7) + 396816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 7*m = -40. Calculate the remainder when 5190\/100 - m\/(-40) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/6549 and 73\/21?\nAnswer: 45843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 3:53 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 - 276 + 129 + 43*l.\nAnswer: 43*l - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 4335010.\nAnswer: -4335010.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2*g**2 + 4*g**2)*(-148*g + 479 - 163*g + 313*g).\nAnswer: 2*g**3 + 479*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/20 - 33*a**4\/4 + 629*a**2. Factor r(u).\nAnswer: 3*u*(u - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oroffongonfnf. Give prob of picking 1 f and 1 r.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, -2, 2.8, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 29 = -5*a - 0*a, -3*a + x = -11. Suppose -2*k + a*k = 72. Suppose -47 = -5*y - 2*m, 4*m = 6*m - 2. Calculate the remainder when k is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uttttttutttt. Give prob of picking 2 u.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a meter in millimeters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + u - 7*u**3 + 11 - 15 to b*u + w + v*u**2 + a*u**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3597 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*(sqrt(2) - (0 + sqrt(2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (136100\/(-2000) + 68)*-152.\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-2 + -3 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -612 + 612. Let u = -3 + 3.5. What is the closest to 1 in z, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - 0.2. Which is the second smallest value? (a) -7 (b) g (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 3}. What is prob of sequence ov?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 28*k**2 + 12*k - 341. What is j(28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 277 - 122. Suppose -17*v = -12*v - r. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1017750)\/(-7)*(-83 + (-3)\/3). Round c to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyvvyydycvvy. What is prob of picking 1 v and 2 y?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8 - -11)\/((15\/(-676))\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -38*h**2 + 4750*h + 3. Determine i(125).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.1 and 0.5.\nAnswer: 7.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8585 and -39312533?\nAnswer: 39321118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66169 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) -2768 (b) -4 (c) -2490\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mssssmsyssmsm. Give prob of picking 2 s and 2 m.\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from {p: 1, l: 7, a: 1, k: 9}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -137.47 and -39.38.\nAnswer: -176.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) + sqrt(51)*-1*-1)\/sqrt(3).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3971\/8 - -494. What is the common denominator of w and 11\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 184*c**3 + 2124*c**2 + 1944*c.\nAnswer: 4*c*(c + 1)*(c + 18)*(c + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44.4 in 2.4, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 7980*s + 87890. Determine g(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/((-11)\/(-3))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.0677 (b) -0.4 (c) 0.02 (d) 2\/319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -45. Solve 0 = -5*i + 3*d + 3 - 22, 0 = -s*i + d - 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 a when three letters picked without replacement from apaapappppppaappppp.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9820343 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00045 rounded to five decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 - 265 = 8*z. Let y = -20 - z. Suppose 5*q - 77 = -4*o + 36, -4*o = y*q - 38. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d4218 - -611?\nAnswer: d4829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-2)\/(-16)*4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.9 + -3.9. Let l = 16.99971 - t. Round l to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 7 = -p, -4*p - 8*m + 14 = -7*m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4256)\/540 + 4 - -4 and -81\/50?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -10. Let m(l) = -4*l - 2. What is m(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14709040609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95 and 133.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 401451.78 minus -0.5?\nAnswer: 401452.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f0e225 + 2?\nAnswer: -1f0e223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 15*a - 11. Let c be u(-16). Suppose c*y + 3 = 13. Solve 5 + 1 = y*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7630.55 nanoseconds in milliseconds?\nAnswer: 0.00763055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:24 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-7)*((-4144)\/(-4884))\/(-1*6)?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t**5 - 13119*t**4\/2 - 3593775*t**3\/2 - 2237508*t**2 - 447174*t = 0. What is t?\nAnswer: -546, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -851\/2 or -425?\nAnswer: -425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssg. Give prob of sequence gs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + (sqrt(68) - (sqrt(68) - -3*sqrt(68))**2) + sqrt(68) + -4.\nAnswer: -1095 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34422 = -961*t + 962*t. Suppose 56*d - t + 12358 = 0. What are the prime factors of d?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9351406 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -337 - -530. List the prime factors of x.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -462503 + -10?\nAnswer: -462513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3264\/18*(-159)\/106. What is the third smallest value in -5, 7, y?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 10. Let y = -15.2 + 16. Let z = 0.8 - y. Which is the second biggest value? (a) j (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 3*l + 2*p - p, -2*p + 124 = 3*l. Let s = l - 40. Let m(r) = 2*r**2 + 2*r + 13. Is m(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*o = -18, 4*o - 11 = 4*p + 13. Which is smaller: 13\/29 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.121, -45, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, -29\/12, 368, 4, 1 in decreasing order.\nAnswer: 368, 4, 2, 1, 0.3, -29\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33144411 (base 5) in base 11?\nAnswer: 186a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8482075 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**1*f))**(-13\/4)*(f*f**(-4))\/f*f*f*f**(-2)\/f assuming f is positive.\nAnswer: f**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -81*f**3 - 3537*f**2 + 7344*f + 11097. Let l(t) = -5*t**3 - 221*t**2 + 459*t + 693. Let j(v) = 33*l(v) - 2*m(v). Factor j(i).\nAnswer: -3*(i - 3)*(i + 1)*(i + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -110\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t*t**(2\/13)*t)\/t)*t*t\/(t\/(t*t\/(t\/(t**(2\/5)*t))*t))*t)\/(t**1)**(-47) assuming t is positive.\nAnswer: t**(3331\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.21, 0 in descending order.\nAnswer: 0.21, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*2\/(-11) - (-60161)\/11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/258 in -0.4, -13\/3, 3\/7, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 - -27. Let z be 20\/b + 2\/5. Suppose -3*l + 0*l = 6, 0 = 5*h - 5*l - 40. Solve z*r - h = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, -3, -1751.\nAnswer: -1751, -4, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millennium in centuries?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2\/3 (b) -102\/5 (c) -3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*8307 + -9*(-112)\/144 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12461405*g**5*v*y + g**2*v - g*v*y - g*y - 3757*g - 4*v - y - 1 wrt g?\nAnswer: 249228100*g**3*v*y + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.9 + -2.1. Let g = 5 + m. Let w = g - -3. What is the third smallest value in 0, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/(90\/45)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**5 + 2*o**5 - o**5)*(-500 - 353 + 80).\nAnswer: -1546*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 41 = -2*j, 2*v + 78 = 4*j - 0*j. Solve -3*r = -5*o + j, -4*r - 3*o - 5 - 1 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k. Let t(n) be the second derivative of -n**6\/360 + n**4\/6 - 10*n. Let f(x) be the third derivative of t(x). Calculate f(c(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2178 divided by 99.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6281 = 283*b + 4300 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -13?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -22. Let d(a) = 4*a - 35. Let b(r) = -d(r) + 2*v(r). Let m(c) = -13*c - 26. Give -7*b(i) + 2*m(i).\nAnswer: 2*i + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + 99 + -36 - (1 + -5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/55 and 43\/4587.\nAnswer: 22935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26228430.\nAnswer: 2, 3, 5, 113, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/18477 and 26\/2264459?\nAnswer: 20380131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -2. Let d = -1 + 1.3. Put d, k, -0.02 in increasing order.\nAnswer: k, -0.02, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -2.4?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -148*w**4 + 533 wrt w?\nAnswer: -592*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 652586 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**3. Suppose 5*q - 9 = 4*q. Calculate the common denominator of 38\/q*(-15)\/(-30) and s(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1354194.885 and 505938?\nAnswer: 848256.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 106583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2832)\/(-472))\/((20\/(-1))\/2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v - 2. Let q(h) = 2*h + 35. Give 5*g(b) - 5*q(b).\nAnswer: 10*b - 185","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22151.\nAnswer: 17, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29\/22 in -0.4, -8, 544?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-6))\/((-790)\/(-6)))\/(326154\/271795)?\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 1, z: 7, h: 4, q: 2}. What is prob of sequence zq?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 266*y**5 + 122*y**2.\nAnswer: 15960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -2. Let x = 4 - j. Let p(i) be the third derivative of -i**6\/120 - i**5\/30 + i**4\/12 - 2*i**3\/3 - i**2. Calculate p(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1799 is divided by 120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g**2 - 30*g**2 + 7*g**2 - 33*g**2.\nAnswer: -91*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1970, 3931, 5892, 7853, 9814, 11775?\n\"Answer: 1961*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 645, 964, 1283?\nAnswer: 1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - 63. What is the remainder when f is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5661049.5799997 + -5661050. Let j = -0.42 - a. What is j rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 45 (b) -2 (c) -4 (d) 5337\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.4. Let s = 22 + -22.6. Let w be 484\/(-165) - 4\/60. Which is the fourth smallest value? (a) 1 (b) w (c) s (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 19 = 2*g + t, -2*g = 2*t + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 3 (c) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxxxxxxxxaxxax. What is prob of picking 2 x and 1 a?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 2, b: 1, d: 1}. What is prob of picking 1 j, 1 d, and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3558)\/(-2) - (-12)\/4. Suppose 10*l = 16*l - h. Suppose -2*b - l = -3*w, -3*w + 495 = 2*w + 5*b. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 1:10 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57858478 to the nearest integer?\nAnswer: 7606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d**3 - 324 - 314 + 950 + 86*d**3 - 335.\nAnswer: 59*d**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8638 and 1324554?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1718003 or -0.07?\nAnswer: -1718003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -1, 3, -1331, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110562, -221212, -331948, -442770, -553678, -664672?\nAnswer: -775752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 938\/3 - (-1)\/(-1 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 - 34*s**3 + 17*s**3 + 8*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752 is divided by 83.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24 and (-111)\/(-2)*-1*5\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/3, -2\/43, -3 in decreasing order.\nAnswer: 5, -2\/43, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.028536*1300\nAnswer: 37.0968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-3\/5))**(2\/39)\/(p**(-3)\/p*p*p**(-3\/4)*p) assuming p is positive.\nAnswer: p**(2209\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.23 + 0.17. What is the third biggest value in -0.023, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 5*1*((-2054)\/(-130) + -17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmc when three letters picked without replacement from wwhwmmwwomcocmcm?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 7*k**2 - 8*k - 1. Let r = -11 - -19. Let y be c(r). What is the units digit of (y + -2 + 5)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 905450238 by -5879547.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 36054 in descending order.\nAnswer: 36054, 10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - 4*j**2 - 2*j**3)*(-13*j + 14*j + 32 + 40).\nAnswer: -2*j**4 - 144*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1372 + 471?\nAnswer: -d01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24567 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 4*h + 10*h - 2*h**2 - 26 - 6*h - 94 to the form z*h**2 + j + m*h and give j.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -18. Sort v, 0, -4 in increasing order.\nAnswer: -4, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-10))\/(18*13\/(-585))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 245\/8 greater than or equal to 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6264 by -348.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9365*h + 674. Is k(31) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 35*i)*(-1 + 2 - i + 0*i).\nAnswer: 35*i**2 - 35*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 771 - 757. What is the nearest to o in 5, 1\/4, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98232 and 81860?\nAnswer: 491160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (0 - 37) - (3 + 0). Suppose 5*g = h - j, 6*h + g = 2*h + 183. Suppose -64 = -5*d + 26. What is the greatest common factor of h and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -326 (b) 69 (c) 2\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(6\/25)\/p*p*p**47 assuming p is positive.\nAnswer: p**(1181\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1085581882?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/9*(-15)\/25. Put q, 1, 0 in increasing order.\nAnswer: q, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t - 2. Let h(a) = -14*a + 5. Let y = -172 + 168. Determine y*h(s) - 11*x(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**3 + 3*q**2 + 3*q - 3. Let l(s) = s**5 + s**4 - 4*s**3 - 2*s**2 - 2*s + 2. Let w(v) = -2*j(v) - 3*l(v). Factor w(t).\nAnswer: -3*t**3*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305520 rounded to the nearest 10000?\nAnswer: 1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*-4 - -2*(sqrt(5) - (sqrt(5) + -1*sqrt(5))).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**3 + 9*h**2 + 2*h + 7. Let t(q) = -3*q**3 + 8*q**2 + q + 6. Let y(n) = -4*f(n) + 5*t(n). Let v be y(-7). List the prime factors of 1\/(-3) - v\/3.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p = -11 + 186 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 24 = -j, -j - 14 = -2*r - 5*j. Suppose -7*o = -3*o - 176. What is the greatest common factor of r and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2 - 2 + (0 - 4 + 3)*(-1 + 1 + r))*(0*r + r + r)*(-3 - 3 + 4).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 105*z - 2158. Let m be o(31). Put m, -2.6, 3\/8 in increasing order.\nAnswer: -2.6, 3\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -203765617.37209 + 203767394. Let l = r + -1776.7. What is l rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 923, 479, 133, -67, -73, 163?\n\"Answer: 8*d**3 + d**2 - 503*d + 1417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o - 13. Let y be f(2). Suppose 0 = -0*m - 4*m. Which is bigger: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 18*o**3 - 141*o**2 - 20*o + 35. Let n be m(8). Solve -20*p = 33 + n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233993470 rounded to the nearest one hundred thousand?\nAnswer: 234000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x + 0*x + (-2 + 2 + 2)*(2*x + 0 + 0) + 1 - 1 - 2*x)*(-6*x**3 + x**3 - 2*x**3).\nAnswer: -28*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.83 + 0.53. Let v = y + 2.95. Let p = v - -2.35. What is the third smallest value in -0.1, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166 (base 9) to base 11.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 3809?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5625*l + 1539. Let b(a) = 2813*a + 762. Let t(x) = -5*b(x) + 2*i(x). What is the first derivative of t(m) wrt m?\nAnswer: -2815","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 79, 141, 225, 331, 459?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*p = -71*p - 71*p + 517. Solve 0 = 10*x - p + 51 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 42*c + 981. Give k(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 40 = -8*s, 4*s - 2*c - 1 + 18 = 5 - 20 - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5359423 - s + 5359423. Let w(a) = 34*a. Give -d(u) + w(u).\nAnswer: 35*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b = -12 + 72 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3745*m**2 - 7487*m**2 + 350*m**3 - 1118*m**3 + 3742*m**2.\nAnswer: -768*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 + 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*i**2 + 4*i - 12 = 0. What is i?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -97, -72, -47, -22, 3?\n\"Answer: 25*a - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0 + (-15 - 20 + 3)*(8 + 3 - 1))*(-3*q + 0*q - 11*q).\nAnswer: 4508*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 4*d - 36. Let a be (6\/4)\/(2\/4). Suppose a*z - 18 = d. Solve -z = -4*r - r + 2*s, 0 = -2*r - 4*s - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -104201.6 and -87.\nAnswer: -104288.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*f = -23886, -5*f = -3*w + 320 + 17638. What is the highest common divisor of 72 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -9. Let h(s) = s**3 + 3*s**2 - 2*s - 4. Let k be h(z). Find the third derivative of -4*b**2 + 5*b**2 + 0*b**k + 2*b**5 - 5*b**5 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/6 - 1\/(-2). Suppose 0*r - 3*r = -p. Suppose b + 13 = 4*b - r*y, 4*b + 6 = -2*y. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 4*u = -543347, 5*z + 6*u - 388078 = 5*u. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3566 + 3539. Are g and 65 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-3))\/(-48)*-1*4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.0498 (b) 2 (c) -8\/473 (d) 5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*z + 858 = -0*z, -4*v + 5*z + 1142 = 0. Suppose -p - 7*p = -v. What is the greatest common factor of 180 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 7*u**6\/120 + 17*u**4\/24 + 9*u**3 - 2. Let m(l) be the third derivative of j(l). What is the derivative of m(x) wrt x?\nAnswer: 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = -6*v - 38*v + 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3723 or 3724?\nAnswer: 3724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 2*x - f, -2*x = -0*x - 3*f - 280. Let m = 194 - x. What is the highest common divisor of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 806 - 803. Solve 3*a + 45 - 13 = -5*b, -12 = k*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -55c?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -42352 (base 6) in base 7?\nAnswer: -22532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcdoxpo. Give prob of picking 1 x and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 407166504 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16085, -32167, -48251, -64337, -80425, -96515?\nAnswer: -112607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + x - 18, 0 = -4*a + 2*a - 5*x + 30. Solve -a = y - 2*y + 5*u, 16 = 5*y - 4*u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17896727 to the power of 1\/2, to the nearest integer?\nAnswer: 4230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 10*a**3 + 0*a - a**2 - 5*a - 3 + 3*a to p*a + w + j*a**3 + i*a**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 27, -5, -0.022?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 227209, 227204, 227195, 227182, 227165, 227144?\n\"Answer: -2*u**2 + u + 227210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 281. Let r be i\/(-133) - -3*3\/(-9). Is r > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a. Suppose 0 = u - 1, -2*u - 3*u - 4 = -3*o. Let n(m) = o*m + 5*m + 9*m - 10*m. Give n(g(d)).\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*2\/(-8)*-200. Let k = r - 173. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3087 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1735077 (base 14) to base 2.\nAnswer: -101011100100111010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*u + 2*u - 2083 = 32369. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/131 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-2 + -6 + -1) - -2) + (90 - -2)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**2 + 2*m*x + 2*m + 6*x - 35 wrt m?\nAnswer: -2*m + 2*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/5 + 514*z\/5 + 1551\/5 = 0.\nAnswer: -3, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 1:14 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243276721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 1, -4\/975?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1505649 is divided by 13430?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010111101000 (base 2) in base 16?\nAnswer: d5e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15, -16, -27, -54, -103, -180, -291?\n\"Answer: -f**3 + f**2 + 3*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*m - 62*m - 174 = n, 3*m = 5*n + 100. Solve 0 = -25*f + m + 90 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 plus 2231350814381?\nAnswer: 2231350814381.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggbgjajbg. What is prob of picking 1 j, 2 b, and 1 g?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-4)*(1 - -29). Find the third derivative of -6*w**2 + 6*w**4 - b + 135 wrt w.\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 12:16 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 1)*-4.\nAnswer: -36*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 1. Let u = m - 3.3. Suppose 13*v + 7*v + 100 = 0. Which is the smallest value? (a) u (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5.5. Let q = -644.38 + 646.88014. Let l = g - q. Round l to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**6 + 108303*u**3 + 327080*u**2 wrt u.\nAnswer: 240*u**3 + 649818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {j: 1, c: 1, k: 1, e: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74907036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185278658 and 1462?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 8 = -6*j. Let m(v) = -v - 2. Let k(n) = -2*n - 3. Determine j*m(a) - 3*k(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -10. Let l be 9\/2*t\/(-6). Let j = l - -2. What is the remainder when 13 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 51 = -54 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*s = -63192, -s = -0*g - 2*g + 25290. List the prime factors of g.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*p - p = -411, -237 = -3*y - 2*p. Suppose -3*o + u = -129, 2*o - 91*u = -93*u + 94. Let g = y + o. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 - (2 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.218056 rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 405 - -2?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35153.03m in centimeters?\nAnswer: 3515303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 11. Let f be (-54)\/h + (-3)\/1. Solve 3*c - 4*x = f, 4*c + 2*x + 3*x = 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = n + 3, 3*m - 18*n - 375 = 27*n - 3*n for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2112 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/32 <= 1\/8758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 29*t**3 + 4*t**2 + 4*t - 4. Let h(l) = -l**3 - l**2 - l + 1. Determine -4*h(y) - j(y).\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -35120000 to the nearest 1000000.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*c = -3*c, -4*c = -4*b. Suppose 6*j - 3*j + 276 = 3*f, b = 3*f + 5*j - 236. What is the common denominator of (f\/(-12))\/(10\/(-32)*-6) and 83\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*b**3*o + 1104462*b**2*o - b*o + 146*b - 20*o + 73 wrt b.\nAnswer: 78*b*o + 2208924*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 940 and 611.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33312 + -212202?\nAnswer: -112230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 242, -2, 1 in decreasing order.\nAnswer: 242, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.16 (b) 4 (c) -0.5 (d) -4\/3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 5:36 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*r**2 + 7988*r + 190072.\nAnswer: -4*(r + 23)*(3*r - 2066)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x + 115. Let t be o(9). Which is the biggest value? (a) 3 (b) 8\/13 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -25. Let m = 19 + h. Is m smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 25268*v + 79808978.\nAnswer: 2*(v - 6317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110110000 - 100?\nAnswer: -110110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -3*x - k, 10*x = 6*x - 3*k - 108. Let b be 1\/((2 - x\/(-10))\/(-2)). Solve -2*w = 4*o + 4, -15 = b*o - 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -30.6. Let c = 12 - k. Sort c, -1, 1 in decreasing order.\nAnswer: 1, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**8\/1680 + g**6\/360 - g**5\/120 + 3*g**4\/4 - 19*g**2. Let s(h) be the second derivative of k(h). Determine s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 1, -5*c - 10 = 6*y - y. Let t be (y + 532\/(-20))*(-15)\/6. Let g = 119 - t. Calculate the remainder when g is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 29 - 22 - (-3 + 19\/2). Determine o so that -7\/2*o**4 + 9\/2*o**3 + o**5 - 5\/2*o**2 + n*o + 0 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2399448 + -702647. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-196) + (-1)\/(-56)*-2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 19*t**5\/20 - t**3\/2 - 15*t - 6. Let u(j) be the first derivative of m(j). What is the second derivative of u(x) wrt x?\nAnswer: 114*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 6*c + 1. Suppose l = 4*w + 1, -2*l + 4*l - w - 9 = 0. Suppose 3*i + 3*n + 9 = 0, 0*n - n = l*i + 27. Calculate h(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*c - 172568 = -1480118. List the prime factors of c.\nAnswer: 2, 23, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**2\/2 - t - 17. Let f(w) = w + 1. What is -2*f(p) - j(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/6 (b) -2 (c) 4\/9 (d) -4\/5 (e) -1\/2 (f) 6.4 (g) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 8*c - 52 + 3*c**2 - 2*c - c**2 + 66 in the form x*c + f + q*c**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 10*q + 24. Let v be n(-7). List the prime factors of v - (-16 + 6\/3 + -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**5\/60 + 2*z**4\/3 - z**3\/3 - 38*z**2. Calculate the smallest common multiple of i(3) and 3.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1391835 by 3.\nAnswer: 463945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*u = -14, 106624*x - 1 = 106629*x - 3*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000199519 to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -667*n**4 - 744*n**3 + 27919880*n**2.\nAnswer: -16008*n - 4464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74.7 + -10.7. Let o = y - 69. Let k be (-3)\/(-2) + -1*1. Which is the second biggest value? (a) 1 (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4661 = 4*p, -5*u + 467 = p - 687. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -18*h - 9. Let n(x) = 17*x + 10. Let z(j) = 7*f(j) + 6*n(j). Suppose y + 8 = -3*t, 6 = 25*y - 26*y - 2*t. Is z(y) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -275917?\nAnswer: -275948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -3, 10795?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 350.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**8\/2016 - 11*o**7\/315 - 35*o**6\/48 - 49*o**5\/20 + 3255*o**2. Determine u so that c(u) = 0.\nAnswer: -21, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*a = -2314 + 372 - 2250 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -0.3, -0.18, -39\/7.\nAnswer: -13, -39\/7, -0.3, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36870?\nAnswer: 2, 3, 5, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 0 (c) -2\/15 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*d**5*w + 9*d**5 + 6*d**2*w - 3*d**2 - 2*d*w wrt d?\nAnswer: -1680*d**2*w + 540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51621979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 41391024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.9 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 122*s**3\/13 + 4078*s**2\/13 - 4444*s\/13 - 8400\/13 = 0?\nAnswer: -2100\/61, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 n when four letters picked without replacement from {n: 1, w: 3, o: 3, q: 6}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**2. Let s be ((-15)\/4)\/(15\/(-40)). Let c(d) = -s*d - 2*d + 14*d. Calculate b(c(g)).\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Let t(z) = -z**3 - 4*z**2 - 3*z + 2. Let s be t(-3). Suppose j - 17 = x, -5*j + 8*x = 6*x - 85. Solve s*m + j - 7 = w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32 - 1b76966?\nAnswer: -1b76934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/5 - 333*c + 1670 = 0. Calculate c.\nAnswer: -1670, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 13*n. Let f be d(-13). Let p be (f - -5) + (-2)\/2. Suppose -8*r = -p*r - 2540. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 9) + (-1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2\/(-5)*(-3)\/2*15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 37\/59 (c) 1\/6 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*d - 4*d - 11, 4*d + 14 = 5*l. Suppose 21 = y - l*q, 0 = 3*y - 7*y - 4*q + 48. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 22*d - 2 + 1 + (-81*d - 102*d + 151*d)*(1 + 1 - 3) + 5*d - 5*d - 7*d.\nAnswer: 47*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m - 4, 3*v + 84 = 5*m. Let a be ((-110)\/v)\/((-2)\/(-66)). Let k be (-15)\/(3*(-2)\/4). What is the highest common divisor of k and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 864 and 18252.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 (base 11) in base 4?\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1989299*g**5 - g**2 - 33267*g.\nAnswer: -119357940*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437515532?\nAnswer: 2, 109378883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455836 and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5793742?\nAnswer: 2, 71, 40801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 10*b + 15. Let m(q) = q**3 - 5*q**2 + 2*q + 2. Let r be m(4). Let s be f(r). Does 5 divide 54*(15\/s)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 a, and 2 c when four letters picked without replacement from gaggccahhggaa.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730366795?\nAnswer: 5, 146073359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*j - 3*b = 12, -5*j + 5 = 5*b. Suppose 3*y - 206 = -3*g + g, j*g - 134 = -2*y. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46685209.1 + 1391.\nAnswer: -46683818.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/50 and -107\/17020.\nAnswer: 85100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2014*l**4 - 405*l**3 + 47354927*l**2?\nAnswer: -48336*l - 2430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.628 at most -708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 734208670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 + -14.1. Let c = 12.0000045 + o. Round c to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - a - 1. Let j(m) = 2*m**2 - 49*m - 1410. Let q be j(-17). Let y(r) = -r**2 + 2*r - 6. What is q*y(d) + 2*z(d)?\nAnswer: -3*d**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*j + 3. Suppose -101 = -2*q + j*x, q - 3*q - 4*x + 74 = 0. Find the third derivative of -8*g**2 + 9*g**3 - 45*g + 88*g - q*g wrt g.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/10 + (-2)\/(-4). Let w be 0 - k - (0 - -3). Let u = w - -10. Solve -4*q = -2*r + 22, u*r - q - 2*q = 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 - -88. What is the hundreds digit of 3\/l*(-1976)\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18115127 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1266 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b - 10*b + 14*b + b. Let n(r) = 2*r. Calculate n(t(a)).\nAnswer: 26*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, v: 2, x: 1}. Give prob of sequence xs.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 951.1831g?\nAnswer: 0.9511831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.3, -41, 244, -0.5 in ascending order.\nAnswer: -41, -2, -0.5, -0.3, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*r - 3*a, -197*r + 8 = -198*r + 5*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68939, 275735, 620395, 1102919, 1723307, 2481559, 3377675?\nAnswer: 4411655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -411*l + 3928. What is v(8)?\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 451697969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -39188*s + 156795. Give a(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l - 1\/20*l**4 - 1\/10*l**3 + 18\/5*l**2 + 41. Solve x(q) = 0.\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 7\/13, 0.01, -0.2, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywnd when four letters picked without replacement from yydyyuyydunnwn?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 13. Let l be h(9). Suppose d = 3*b - 4*b + 8, 5*d - 44 = -l*b. Let q = 16 + 4. What is the smallest common multiple of q and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-2\/7)*n*n)\/n**(-10\/3)*(n**(-12))**(16\/9) assuming n is positive.\nAnswer: n**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 plus -2341.838?\nAnswer: -1689.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -24. Let j(w) = 10*w**2 + 4*w - 1. Let g be j(-4). Suppose h = -2, -5*o + 5*h + 112 + g = 0. What is the remainder when o is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63953417065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3017 and -45.2.\nAnswer: -3062.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahhahhhhhahh. What is prob of sequence hh?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1978 divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/8, -386, 7, 8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**4 - 20*l + 0*l + 2361 - 5*l**5 - 2361 wrt l?\nAnswer: -100*l**3 + 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 3*l**4 - 4*l**4 - l**4 + 2*l**4 - 3*l**4 + (-2*l - 4 + 4)*(l**3 - l**2 + l**2) + 2*l**4 - 3*l**4 + 2*l**4 + (-l**4 - 1 + 1)*(2 - 4 + 0).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**3 - 4*a**3 - 3*a**3 + 2*a**2 wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - -2120211211?\nAnswer: 2120211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 - 17*c + 7. Let t(v) = v**2 - 9*v + 4. Let r(z) = 2*q(z) - 5*t(z). Suppose -2*g + 4*y - 34 = 0, -11 + 8 = -y. Give r(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*f + 27*f + 25*f + (-1 + 1 - 2)*(-72 + 3*f + 72) in the form i*f + z and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 924.529 and 0.04.\nAnswer: 36.98116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6483 and 112?\nAnswer: 111.3517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 63*f**5\/20 - f**3\/3 + 8*f**2 + 12*f. What is the second derivative of z(w) wrt w?\nAnswer: 378*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w + w - 2 + 18. Does 11 divide z(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 5)*(-1 - 1 + 3)*(242*q - 237*q - 139*q).\nAnswer: 804*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -2*h**3\/3 - 13*h**2\/2 + h. Let l be o(-5). Solve -2*d - 5 = -3*b, -l*d + 2*d - 4*b + 45 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0232280721 rounded to 5 decimal places?\nAnswer: -0.02323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.3 - 5. Suppose 3*d + 7 = -2*c + 2, 4*d + 9 = -5*c. Let a be c + (2 + -3)\/(-3). What is the closest to a in s, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9676 - 9565. Calculate the remainder when 131 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/162*-186 - 10.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r**2 - 5866*r - 7336. Calculate l(-732).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.339 + 3.69. Let q = k - 0.051. Sort -96, q, -1 in descending order.\nAnswer: q, -1, -96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.221 + -2.221. Put t, 0.2, -4, 45 in increasing order.\nAnswer: -4, t, 0.2, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 40760730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y + 4*c - 96 = 0, -c - 1 = 0. Let k be (2 - -127) + (-2 - 0). Let a = k - y. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**2\/2 + 4*t + 4. Let g be b(0). Suppose -g*c = -5*w - 157, -175 = -4*c - 4*w + 3*w. What are the prime factors of c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 39*s + 15. Let w be a(-6). Let n = -112 - w. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-5510)*58*-50.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/3*((-294)\/(-63))\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 21*v**2 + v - 30. Let g(z) = 41*z**2 + 2*z - 55. Let q(p) = 6*g(p) - 11*w(p). Let n(t) be the second derivative of -t**3\/3 + 11*t. Calculate q(n(d)).\nAnswer: 60*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of (-1280)\/320*(-608 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 19*v**2 - 1. Determine u(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25829 + 25829 - 125*l.\nAnswer: -125*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/235291 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/15)\/(10\/15). Suppose 0*r - r - 20 = 0. Let a be r\/26*(h + 0\/(-4)). Is a greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2225*f**3 + f**4 - 334*f + 4 + 0 + 2216*f**3 - 4442*f**3 to d*f**4 + h + p*f**2 + b*f + n*f**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 46, -6 in ascending order.\nAnswer: -6, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12867431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8320, 8321, 8322, 8323, 8324, 8325?\nAnswer: 8326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6384 and 11\/6392778.\nAnswer: 51142224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 87*t + 4. Let b(n) = -2775*n**2. What is o(b(d))?\nAnswer: -241425*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gugguuyugu. Give prob of sequence ugu.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (-920)\/10) + (-79 - -83).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2482.6 to the nearest 10.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 139\/4. Let u be -1 - (-2 + 3)*-1. Suppose 2 = -u*i - i. Put i, j, -5 in decreasing order.\nAnswer: j, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.08739314 + -0.09259602. Let t = o + -10.82001054. Let b = 13 + t. What is b rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**7\/210 + 5*h**6\/12 - 5*h**5\/12 + 11213*h**3\/6 - 13475*h**2. What is the derivative of b(m) wrt m?\nAnswer: 4*m**3 + 150*m**2 - 50*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p**(-2\/7)\/p)))**(-26)\/((p*p\/(p\/(p**6\/p)*p*p*p)*p*p)\/p**(3\/2)))**(1\/11))**(-5) assuming p is positive.\nAnswer: p**(-2095\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 129869.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2572197780 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037.653 millilitres in litres?\nAnswer: 1.037653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*z - 3*a, 0 = 4*z + 4*a - 2*a - 14. Let m = -121 + 143. Suppose 24 = -18*c + m*c. Solve -u + 0 + 6 = -q, -u - z*q = c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1380 and 600?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5810 and 2370?\nAnswer: -13769700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**3 - 2*y**2 + 2*y**2)*(2*y + 2 - 2) + 73*y**2 - 11*y**4 - 73*y**2 to the form f*y**4 + p*y**2 + n*y + b*y**3 + c and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/7 - 58\/(-7). Suppose 5*z = 4*x - k, -8 = 3*z - 6*z - 4*x. Determine j so that 4*j**2 + 4*j**3 - 4*j**4 - 2*j + 2*j**4 - 2 - 2*j**5 + z*j**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*1599*86\/2236.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, -1\/8, -12, 9251?\nAnswer: 9251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4840.6 litres to millilitres.\nAnswer: 4840600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/140)\/((-222)\/(-25900)*70).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i. Let h(n) = 154*n**2 - 2. What is h(y(a))?\nAnswer: 5544*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 8*w**2 + 6*w - 4. Let u be f(-7). Suppose u - 21 = -5*r + j, 5*r - 2*j = 16. Suppose -r = -5*m + 196. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139 - 10*z + 43 + 96 + 531*z.\nAnswer: 521*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-1)*o))**(9\/8)*o**(-9)*o**(-9)\/o*o assuming o is positive.\nAnswer: o**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f**2 + 681*f - 4323. Determine c(78).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v + 287. Let w be i(23). Suppose 11*j = w + 696. Calculate the highest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231110213102 + 0?\nAnswer: -231110213102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*b - 3170*b**2 + 105*b + 10 - 10 + 3150*b**2 + 107*b.\nAnswer: -20*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 - -35?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 238504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 18. Which is the closest to 1? (a) t (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83529300.\nAnswer: 2, 3, 5, 41, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhh when three letters picked without replacement from hrhhhhrhrhhhrz?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -0.78. Let t = c - 0.363. What is t rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 133661 + 181670 = 4*r, 36 = 4*r. What is the ten thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:48 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssud. Give prob of picking 1 d and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -10 + 38. Suppose -2*x + r = h, -3*x + 2*r - 10 = -0. Let v = -25679 - -25674. Put 0.4, v, 3\/7, x in descending order.\nAnswer: 3\/7, 0.4, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/6 + 5*f**3\/3 + 4*f**2 - 9*f. Let c be n(-4). Which is smaller: c or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b4882a (base 13) to base 2\nAnswer: -100010100000000100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(8\/9))**(7\/2)*i*i*(i*i**(-2\/145))\/i*i*i**(-40) assuming i is positive.\nAnswer: i**(-79351\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-4)))\/c**(-3\/4)*c*c*(c*c**5)\/c*c*c*c*c**(-2\/21)\/c assuming c is positive.\nAnswer: c**(1147\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 963196, 964112, 965028, 965944, 966860, 967776?\nAnswer: 968692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 6) to base 12\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -124173006400 to the nearest one million.\nAnswer: -124173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-143)\/44)\/(57\/(-532))*(-1)\/(-2)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = 0, 8 - 2 = 2*m + 4*f. Suppose 2*p - 2*x + 5*x = 0, 0 = -4*p + m*x. Let g = p - -4. Solve g*v - 9 = 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z - 58. Let j be r(-27). Let k = 77 - j. Let i = k + 20. Calculate the remainder when 39 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -342 divided by 18.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/8))\/k*k*k\/k**(-7\/3))\/((k*k**(-2\/41))\/(k\/((k**(-2\/21)*k)\/k)*k)) assuming k is positive.\nAnswer: k**(12863\/2296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaw. What is prob of picking 1 w and 1 a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20002\/25 - (-574)\/(-7175). What is y rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 19. Let j be (-3)\/15*1*r. Let x be (2 - (-26)\/(-14))*1. Which is the biggest value? (a) -4\/7 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33*(-114)\/(-65835))\/(4\/(-14))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47871*r + 47891*r + 800 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 3*k**3 + 4*k**3 + k**2.\nAnswer: k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1229563 to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*l = 62*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f - 4. Let n be v(2). Let p be n\/((-16)\/3) + 0. Let l = 0.09 - 4.09. What is the nearest to 1\/3 in -1\/3, p, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h = 78*h + 600 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24570 and 2.\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-22)\/(-5))\/((-14)\/(-385)). Let z = t - 97. Calculate the remainder when z is divided by 158\/22 - 4\/22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1425 + -51260?\nAnswer: -52705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*3)\/((-33)\/4). Let x be 5\/(1\/(8\/2)). Suppose 0 = 22*w - x*w. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 3 + 18*n + 5\/2*n**3 + 0*n**2. Let m(y) = -y**2 + 2. Let k(o) = -3*o**2 + 7. Let d(s) = 4*k(s) - 14*m(s). Determine g(d(a)).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/(-5) - 4\/10. Suppose k + o = 17. Solve 2*v = -4*z + k, -4*z - 10 = 3*v - 26 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -710.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2700))**2.\nAnswer: 60*sqrt(3) + 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 j when three letters picked without replacement from meemfeejeefjmjs?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -359 - p**4 - 352 + 709 + p**3 + 2*p**4 - 6*p - 2*p**2 to n*p**2 + d + z*p + h*p**4 + j*p**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*g - 4703333 + 4706743 for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/6)*m)\/m**(-4\/5)*(m**(-2\/7)\/m*m)\/(m**(-4)\/m)*m**(-3)*m**(-4\/7)*(m\/m**(2\/15))\/(m*m*m**3) assuming m is positive.\nAnswer: m**(-19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -983.752 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -15. Let o be 90\/n*(0 - -280). What is o rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -3*y**2 + 0*y + 4\/3*y**3 + 0 - 1\/120*y**6 + 1\/3*y**4 + 1\/10*y**5. What is the units digit of v(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**4\/7 - 350216*x**3\/7 + 4203012*x**2\/7 - 13660184*x\/7 + 1401056 = 0.\nAnswer: -87566, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/20)\/(2*2\/(-120)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130276 - 21474. Let y = -108837.00128 + n. Let p = 35 + y. Round p to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 971633304 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**4\/8 + 4*r**3\/3 + 2*r**2. Determine q(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (-2 - (-3 + -18)) - 2. Calculate the greatest common divisor of c and 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37277 + 39.3686?\nAnswer: 37316.3686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -35*x**2 - 99*x + 1344. Give p(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**2\/2 - 4*a + 5. Suppose 2*n - 14 = 8. Let u be i(n). Is 7 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.054761ug in tonnes?\nAnswer: 0.000000000002054761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84169431, -84169432, -84169433?\nAnswer: -84169434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6516774 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 2*l - 1\/28*l**4 + 3\/7*l**2 - 2 + 1\/14*l**3. Let r(s) be the first derivative of n(s). Factor r(i).\nAnswer: -3*(i - 2)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 m when three letters picked without replacement from dmmmdoommmmmmmm?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3493 - 3493 - 1488*k)*(-13 - 10 - 31) as j + z*k and give z.\nAnswer: 80352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*45.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-188)\/6*(-22)\/4. Suppose -71838 + 87662 = 92*v. Which is bigger: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 8. Let a be b(0). Let s be (36\/a)\/((-2)\/4). Let j = s - -6. Put j, -4, -2 in increasing order.\nAnswer: -4, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -0.07, -0.5, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 8:19 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 9*v - 240. What is the lowest common multiple of 3 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3232011 (base 5) in base 2?\nAnswer: 1101011111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-30)\/(-25) + (-260)\/(-175). Sort -4, 4, d, -0.1.\nAnswer: -4, -0.1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 + 7*b + 1. Let z(j) be the third derivative of j**5\/60 - j**4\/8 - j**3\/6 - 2*j**2 - 41*j. Give -2*r(l) - 5*z(l).\nAnswer: -l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 219.5.\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 40162.14 meters?\nAnswer: 40162140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0009 + -47.5991. Let c = p - -48. Let m = 21.3 + -23.3. What is the nearest to -1\/3 in 3, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 23*t - 14. Calculate the remainder when 447 is divided by l(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73209242*w**4 + 954847654*w.\nAnswer: -878510904*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -64. Calculate the remainder when r is divided by 8 + (-1 + -4 - -9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1448, -1480, -1510, -1538?\nAnswer: -1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 26182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 490 = -a, 0 = -4*d - a + 727 + 1224. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -619\/11? (a) -0.5 (b) 2 (c) 2\/125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56241331 and 171683?\nAnswer: 10099","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 833747 smaller than -34\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 188 (base 13) to base 4\nAnswer: 10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733593 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2. Let w(q) be the third derivative of 125*q**2 + 0 - 1\/3*q**4 + 0*q + 0*q**3. Give u(w(j)).\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 682, -3, 29?\nAnswer: 682","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 11. Suppose 5*l - 51 + 16 = 0. Let f be d(l). Let n(s) = s**3 - 2*s**2 - s + 5. What is the tens digit of n(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10 - ((-2)\/(-2) - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 47*g**6\/30 - 13*g**3\/6 - 3*g + 8. Find the second derivative of c(z) wrt z.\nAnswer: 564*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by 5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 1, w: 2}. Give prob of sequence jw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 18, y: 1}. What is prob of sequence ll?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = -6. Let d(y) = y**2 - 4*y + 4. Let l be d(i). Suppose 4*w - 7 - l = 0. Which is greater: w or 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -198*(-3 + (-3465)\/(-30)). What is m rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 484*q**3 - 246*q**3 - q**2 + 1 - 247*q**3 in the form x + f*q**3 + a*q**2 + k*q and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57\/10 - 11\/2. Let -t*r**2 + 2\/5*r + 0 = 0. What is r?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56.8 and 1.9?\nAnswer: 107.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55156 - -55151.7531. What is o rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by -2 + (-144)\/(-5) - (-5)\/25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(-6) - -3)\/(-21 - (-41 - -25))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/2206014 and -35\/36.\nAnswer: 13236084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-4)\/40*3*-3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -542 (base 6) to base 2.\nAnswer: -11001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 u when three letters picked without replacement from kukkugktkuuukkkk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.76 - -0.54. Let o = 15.8 - v. What is o rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k - 13. Let f = -4 + k. List the prime factors of (-2)\/f - (-370)\/45.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**2 - 40*p + 5. Let x(c) = c**2 - c + 1. Determine k(s) - 5*x(s).\nAnswer: s**2 - 35*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -17*y - 17. Let t(n) = -35*n - 35. Let o(k) = 5*i(k) - 2*t(k). Let p be o(-3). Let c = p - -79. List the prime factors of c.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gygygygyyyyyggyyggg.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 0.053513.\nAnswer: -0.146487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-357)\/119)\/((-3)\/10) + -34.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/20 (b) -0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from bzbeea.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 3:57 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1364*v - 1164*v + 2531*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81636, -163272, -244908?\nAnswer: -326544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 + 3*i - 13. Let n(u) = -u**2 - 2. Let k(l) = -f(l) + 5*n(l). Determine k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18199, -18184, -18169, -18154?\n\"Answer: 15*r - 18214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {n: 9, e: 1, j: 9}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -428 divided by -2.\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/152 and -33\/149440.\nAnswer: 2839360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y - 164. Let l(u) = u**2 + u - 2. Let b(c) = -2*l(c) + t(c). Differentiate b(f) with respect to f.\nAnswer: -4*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 498, 519, 548, 585, 630, 683, 744?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -228, -536, -954, -1476?\nAnswer: -2096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 17*r - 12. Let z(o) = -14*o + 12. Let f(q) = -5*m(q) - 6*z(q). Let t = 3 + -18. Let s = 5 + t. Calculate f(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20766*s - 2 - 2337*s - 13640*s - 1089*s - 10799*s)*(s + 4*s - 4*s) as q*s + h + g*s**2 and give g.\nAnswer: -48631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**4\/4 - 5*y**3\/3 - 2*y**2 - y + 1. Let s be (-200)\/52 - 2\/13. Let h be w(s). Let l(t) = t**2 + t. What is l(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 96\/36 + (-10)\/6 + 1. Let x(c) be the third derivative of 0*c**3 + 0 - 9*c**r + 5\/8*c**4 + 0*c. Let u(i) = 2*i. Give u(x(y)).\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-1446)\/30 - (-2)\/(-10). What is the highest common factor of f and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 + -3 - (42 - -4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 21 = z, 0 = -4931*z + 4929*z + 36 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -2*c**5\/5 - 13*c**4\/4 - 2*c**3\/3 + 31*c**2\/2 + 43. What is the third derivative of x(h) wrt h?\nAnswer: -48*h - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42042416 is divided by 915?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-9)\/(n*n**(-2\/3)*n*n)*(n*n\/n**4*n)\/(((n\/n**(-2))\/n*n*n)\/n) assuming n is positive.\nAnswer: n**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 918.8816t in nanograms?\nAnswer: 918881600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 5. Let u be p(2). Let z be (-6)\/(-9) - 14\/3. Put u, 0, z in decreasing order.\nAnswer: 0, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/(-24)*3*200\/(1050\/21).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2. Let m(q) = -741711885*q. Give m(s(g)).\nAnswer: -741711885*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125583409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 441.7 + -442. What is the second smallest value in 4\/3, 0.5, j, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 245 + -1145. Calculate the common denominator of (6*(-5)\/n)\/(2\/207) and 7\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 100947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-1))\/(((-4)\/(-10))\/((-1371)\/2285))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.12238 and -0.16953987?\nAnswer: 0.29191987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lill when four letters picked without replacement from lllliil?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2402823.\nAnswer: 3, 251, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*c = -14 - 6, 4*g - c + 5 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 698 and 11?\nAnswer: 7678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 5*w + 8. Let d be v(-6). Suppose -2*r = -0*g + g + d, 0 = 3*r - 9. Let u(a) = a**3 + 7*a**2 - 7*a + 6. Let k be u(g). Sort 3, k, 2.\nAnswer: k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2907422 to the power of 1\/2, to the nearest integer?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - 1 - (6 + -4). Let h(x) = x - 1. Let y(q) = 20. Calculate j*y(k) + 20*h(k).\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4. What is the third derivative of -14 + g**2 - 5*g**2 + 14 + g**d wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 152646?\nAnswer: -152651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 e when three letters picked without replacement from {w: 3, e: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eon when three letters picked without replacement from {o: 1, c: 4, b: 1, e: 6, n: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3272.2 + 3272. Sort -2\/9, 17, u in descending order.\nAnswer: 17, u, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b20 (base 14) to base 7.\nAnswer: -20240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4290411 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3144 - -3144.1. Let g = -382\/5 - -76. What is the nearest to -1 in g, -0.1, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81886330, -163772662, -245658994, -327545326, -409431658, -491317990?\nAnswer: -573204322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 2 + (50 + -47 - (-1 - 4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/(1\/6). Solve 5*n - y*i = 19, -24 = n - 4*i - 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1305136*b**4*u**3 + 3*b*u**3 + 5753*b*u - 2*u**3 wrt b.\nAnswer: -15661632*b**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 2*c**2 + 3*c - 1. Let k be v(2). Suppose 0 = -k*a - 13 + 273. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(66)\/(-3*-1*sqrt(6)) - ((sqrt(44))**2*1 - (sqrt(396) + 1)**2).\nAnswer: 37*sqrt(11)\/3 + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20001 - 211022020?\nAnswer: -211112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) -71 (b) 0.2 (c) -4 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -3) + (5 + (8 - 9) - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-435)\/(-174) - 2\/(-4). Solve 0 = -s*c - c - 4*g, 0 = -c - 3*g + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = 3*t - p, 0 = t - 5*t + p - 239. Let y = -39 - t. What is the remainder when 5*(1\/10)\/(7\/1148) is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/41540 and 1\/6700.\nAnswer: 207700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j*j**(3\/4)\/j)\/j))**23)**(2\/81)\/(((j**4*j)\/((j*((j*j\/(j*j**4*j))\/j*j*j)\/j*j)\/j))\/(j\/(j\/(j\/j**(2\/3)))*j\/(j**(1\/5)\/j))) assuming j is positive.\nAnswer: j**(-4637\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2337 = -5*i, 5*i - 1156 = -o - 0*o. Let h = o + -802. Is h a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*s**2 + 368*s + 1338.\nAnswer: -2*(s + 3)*(13*s - 223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1 - 4) - (15\/10 - 3). Determine s so that -81\/4*s**4 + 159\/2*s**3 - 30*s**2 + c*s**5 - 225*s - 375\/4 = 0.\nAnswer: -1, -1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 167.6 from 4.\nAnswer: -163.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 13 = 149. Let r = -19 + b. What is the greatest common divisor of 75 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 3613032.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -255120, -255128, -255136, -255144, -255152?\n\"Answer: -8*w - 255112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 3*x - x)*(-3*x + x + 0*x) + 0*x - x**2 + 0*x + 66*x**2 - 15*x**2 + 17*x**2 as j + a*x**2 + b*x and give a.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 118963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**8\/2240 + q**7\/140 + q**6\/48 - 11*q**4\/24 - q**3\/6 - 87*q**2. Let x(i) be the second derivative of j(i). Factor x(v).\nAnswer: 3*v*(v + 1)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 17. Let n = -10 + a. Let g be 7\/(105\/(-10))*6\/10. What is the nearest to g in 0.2, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 f when three letters picked without replacement from {f: 2, q: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 - 307 - 380 = 12*g - 3*g for g.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -373 + 386. Let q = -150 + 242. Suppose -4*z = -2*z + 5*m - 68, 0 = -3*z - 5*m + q. Calculate the remainder when z is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -284.2\nAnswer: 3126.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 55.8201723.\nAnswer: 55.7201723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/2)\/(r**4*r)*r**0\/(r**(-4\/5)*r))\/((r\/(r**(-4)*r))\/r**(-7)*(r*r**(-2)*r)\/(r**(-2)*r)) assuming r is positive.\nAnswer: r**(-157\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3742104 + -20.\nAnswer: 3742084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-21)\/(-6) + -3)*-2. Let b be (-3)\/(-2 + -1)*x. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 9. Let t be h(13). Suppose t*k - 6*k + 4 = 0. Solve -4*g - 3*q + 17 = 0, k*g - 6 = -0*g - 4*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -46) + 0 + 3. Let s = q - 29. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 100*r**2 - r + 1. Let o be s(1). Suppose -o = -5*g + 65. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/2*(-1)\/2. Suppose w*m**3 + 21*m**2 - 16*m**4 - 5*m**2 + 2*m**3 - 8*m + 6*m**5 = 0. What is m?\nAnswer: -1, 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = 3*w + 2*w, 2*w = -3*m + 9. Suppose w = -6*n + 4*n - 2. Let b be n\/(-1*(-2 + 1)). Sort 5, b, -3.\nAnswer: -3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(-5*(sqrt(9) - (sqrt(9) + sqrt(729)))).\nAnswer: sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r**2 - r. Let d(m) = -6*m**2 - 5*m - 1. Let a(w) = -d(w) + 6*l(w). Let u be a(1). Suppose -2*h + u*h - 136 = 0. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 36 (c) 1\/4 (d) -0.02 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1 (c) -0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-52146 - 1)*(-4 + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdkntdtj. Give prob of picking 1 q, 1 n, and 1 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7551, -7552, -7553, -7554?\nAnswer: -7555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4*v + 152, -3*t + 2*v - 5 = -221. Let y(f) = 2266*f - 22630. Let x be y(10). Calculate the highest common divisor of x and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109 + 9. Let i be ((-12)\/15)\/(10\/s). Is 37\/4 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4267, -8532, -12797?\nAnswer: -17062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1751965 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 14*m**2 - 6*m - 13. What is n(-14)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-4\/13))\/u*u)\/u**(1\/8))\/(u\/(u\/u**(-3))*u*u**(-4)))**(4\/13) assuming u is positive.\nAnswer: u**(747\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0*n**3 + 1\/660*n**6 + 21*n**2 + 0 - 2\/165*n**5 + 1\/33*n**4 + 0*n. Suppose c(x) = 0. Calculate x.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 12*g**2 - 17*g + 7. Let x be k(-13). Let l = 92 - x. Calculate the least common multiple of 9 and l.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 440, 843, 1238, 1625, 2004, 2375?\nAnswer: 2738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m + 3. Let n(u) = 10*u + 1. Let o(f) = 10*f. Let w(h) = -5*n(h) + 6*o(h). Give -5*r(a) - 3*w(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1081*x**3 - x**2 - x + 6. Let c be u(2). Let r = c - 552. Round r to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/46 - (81 - 81).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -50. Let z = 0.018 + -0.188. Put z, 2, u, -3\/4 in ascending order.\nAnswer: -3\/4, z, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44625*n = -44465*n + 800 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 3*k**2 - 2*k**2)*(44*k + 61*k - 58*k).\nAnswer: -47*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -14. Suppose -4*y - 20 = 4*w, -2*w - c*y - 16 - 4 = 0. Suppose 13*f - 8*f + 5 = 0. Which is bigger: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2605\/23 - -1013581\/8970. Find the common denominator of m and 79\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 50*u + 2. Calculate f(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2368)\/74 + -4 + 30 + 160\/27.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1311*v + 1919. List the prime factors of r(-17).\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2814 is divided by 2772.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = w. List the prime factors of w\/(-4)*(-58)\/(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10015098 is divided by 770391.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*y - 99 = 0, 0*k - 3*y - 66 = -2*k. Is k a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58.37 + 58.369989206. Round w to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 9, v: 3, r: 2, z: 1}. Give prob of picking 1 z and 2 f.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 857, 6, -5, -4 in descending order.\nAnswer: 857, 6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzzvzuvzvffuvxfax. What is prob of picking 1 x, 1 v, and 1 f?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1362*g**3 + 0 + 0 + 2644*g**3 - 1354*g**3.\nAnswer: -72*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.393 minus 10326181?\nAnswer: -10326180.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -1. Let y = -0.19999984 + j. What is y rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43369 and 2604.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56 + 2790\/50)*(-1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + c**2 - c - 1. What are the prime factors of a(3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, 8, -29, -2\/11, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17669 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 12*t**2 + 17*t + 46. Calculate m(-5).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 229*m**2 + 121*m**2 - 151*m**2. Let z(i) = -2*i. Give z(c(x)).\nAnswer: -398*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 43*b**4\/2 - b**2\/2 + 9. Is w(1) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**7\/(k*(k**5*k)\/k))\/(k*k**21*k**(-23)))**(-1\/45) assuming k is positive.\nAnswer: k**(-2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5266?\nAnswer: 2, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 673\/14 - 48. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 42. Let p(c) = c + 28. Let u(m) = 5*f(m) - 8*p(m). Suppose -k - 17 = 3*x, 7*k - 5*x = 8*k + 37. What is u(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15671 + 15682. Solve 32 = u*i + 76 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -1\/2 (c) 5 (d) -0.1 (e) -108\/7 (f) -1\/8 (g) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -377588*f**5 + 7*f**2 - 9668816*f wrt f.\nAnswer: -7551760*f**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 5. What is the smallest value in c, -5, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 8*n**2 - 2*n + 18. Let j be b(8). Let x(c) be the first derivative of j - 2*c + 1\/2*c**2. What is the first derivative of x(d) wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + 9. Let a = x + -57. Let t = 35 + a. Solve o + t = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61548641*b**2 + 2*b + 45185993?\nAnswer: -123097282*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x + 17*x + 62 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l - 9*l + 23*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16479 + -0.83521. What is the third biggest value in 29, 3, x, -6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/10 + (-520306)\/(-24). Let t = -21668 + o. What is the common denominator of 95\/6 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05719647 to 5 decimal places.\nAnswer: 0.0572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -32*y + 583. Let r be g(4). What is the highest common divisor of 364 and r?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 5*o**2 + 6*o - 3. Suppose -4*m + j = -24, 0 = -0*m - m - j + 6. Let c be k(m). Let v be (c*2)\/(3 + -1). Sort 2\/9, v, -0.5 in ascending order.\nAnswer: v, -0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2106 - -4628. What are the prime factors of h?\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34756 + -34757.9077. What is t rounded to 1 dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b1 - 33?\nAnswer: 17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 7:59 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(-x**2 - x + x) + 4*x + 2*x**2 - 4*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 11779.\nAnswer: 70674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**3 + 11*y**3 - 9*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**3\/3 + 15*c**2\/2 - 2*c + 30. Calculate the smallest common multiple of 1 - -1 - (6 + -20) and s(-16).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53775335743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4\/4 - 483*n**3\/4 + 9*n**2\/4 + 1443*n\/4 - 483\/2 = 0. Calculate n.\nAnswer: -161, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**3 - 20*k**2 - 7*k - 29. Let v(s) = -s**3 + 5*s**2 + 2*s + 7. Let b(h) = 2*u(h) + 9*v(h). Let i(y) = y - 10. Let j be i(6). What is b(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + -5 + 4 - 2. Suppose -6*a + 9*a = -w + 10733, 3*a + 21430 = l*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o = -2*d, 4*o = -5*d + 4. What is the units digit of 5\/((o + -1)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(96)\/sqrt(2))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**4\/6 + i**3\/6 + 2*i**2. Suppose 2*j + 26 = 5*j + 2*s, 2*j = -2*s + 20. Is k(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 176.9068 and -1.261.\nAnswer: 175.6458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 5)*4\/20. Which is smaller: a or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 3*y + 5*x, 2*y - 296 = -0*x + 2*x. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2601 + -1891. Is t a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -1\/1440*y**6 + 1\/48*y**4 - 1\/2*y**3 - 1\/480*y**5 + 0 - 6*y**2 + 0*y. Let u(q) be the first derivative of z(q). Factor u(f).\nAnswer: -(f - 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 + 24*u**2 + 19*u - 21. Determine h(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/11))\/((h*(h*h**1)\/h)\/h)*(h*h\/(h*h**(-4)))\/(h*h\/h**(2\/15)))\/(h*h*(h\/h**(-9))\/h*(h*h**(6\/11))\/h)**(-21) assuming h is positive.\nAnswer: h**(40492\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 920 and 5842?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -12 + (9 - (4 + -1 + -2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 488486 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/909 + 19097\/3636. Solve j*i**2 - 15\/4*i - 3\/2 = 0 for i.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - y**2 - 3*y + 2. Let w be d(2). Solve -2*q + w = 2*q - 2*l, 0 = -5*q - 2*l + 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by 58\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1640576036 divided by 181.\nAnswer: -9063956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a factor of 216299030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 1, 213 = u + 4*v - 87. Solve u*x - 4 = 295*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 133.\nAnswer: -1463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 13*z**2 - 2*z - 2. Let p be g(1). Suppose 0 = 14*d - 33 - p. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0261 * 1.1.\nAnswer: 0.02871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13094 + 1882 = 18*n. Suppose -3*u + n = 2*s - 4*u, 2*s - 5*u - 824 = 0. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - -5) + (-3 + 15 + -16 + -9 - -13).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 10 + 36 = -5*q, 0 = q - 4*l + 52. Factor 0*j + 21\/5*j**3 - 6\/5*j**4 + 12\/5*j**2 + q.\nAnswer: -3*j**2*(j - 4)*(2*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.05 and -28 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10413 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-8)\/(-42))\/(-2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 682 = 2*k, 4*u - 5*k + k = 652. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from pjfpfhphhphfphfp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14073230737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*l - l + 27*l + 32*l + 0*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5194 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6680.11 meters in nanometers?\nAnswer: 6680110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7366291 to the nearest integer?\nAnswer: 2714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2607, 2633, 2639, 2613, 2543?\n\"Answer: -2*d**3 + 2*d**2 + 34*d + 2573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 3:54 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/156 and 125\/131586?\nAnswer: 263172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 284 - 283. Is ((-100)\/(-300))\/(s\/5223) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -18. Which is bigger: -0.4 or n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 90*r - 357. Determine f(93).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -70123 >= -70124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2568 = -10*h + 1922. Suppose -w + 19*v + h = 20*v, 2*v - 451 = -w. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6040 divided by -10?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 4. Let w(v) = -v**2 - 3. Suppose 6*l - 28 = 2. Suppose 35 = l*z + 5*h, -2*z + 10 = -2*h + 3*h. Let t = -3 + 5. Determine t*n(d) + z*w(d).\nAnswer: -d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2753, 5590, 8413, 11216, 13993, 16738, 19445, 22108?\nAnswer: 24721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -32, 36, 3, 2 in decreasing order.\nAnswer: 36, 3, 2, 4\/7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500818 is divided by 166919.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*330*(-54)\/(-4752).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10046770?\nAnswer: 2, 5, 1004677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6156916 to the power of 1\/2, to the nearest integer?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 468\/90 - 2\/10. Solve 0 = 18*i - 13*i - z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -19*c**7\/42 + 15*c**4\/2 + 101*c**3\/6 + c**2\/2 - 1473*c + 1. What is the second derivative of b(k) wrt k?\nAnswer: -380*k**3 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235 by -47.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-13 + -1 + 8 + 12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13669625?\nAnswer: 5, 109357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/(-22))\/(-6))\/(((-60)\/88)\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 49507?\nAnswer: 21\/49507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 23*z**2 - 9*z + 37. Let c be k(6). Calculate the greatest common factor of 2618 and c.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -18. Let d = -262.58 - -262.88. Which is the closest to 7? (a) d (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 139 - 137.8. Let x = u - 1.3. Let i be (2\/12)\/(9\/(-6)). Which is the closest to x? (a) i (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (962\/(-39) - -23). Factor 1\/6*i + 1\/6*i**2 - o.\nAnswer: (i - 1)*(i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 12*b**4\/7 + 34*b**3\/7 - 198*b**2\/7 + 176*b\/7 - 24\/7 = 0.\nAnswer: -6, 1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {b: 1, v: 3, d: 5, a: 1, p: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50742290555966251 - -50742290343724286.17000073. Let s = o - -212241966. Let r = 1.17 - s. Round r to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n**3 + 12*n**3 + 115*n + 11 - 153*n + 10*n**2 + 23*n**2 - 7*n**3. Calculate u(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 22 = -1. Let z(x) = -4*x. Let c(u) = -2*u + 1. Let n(d) = g*c(d) + z(d). Let h(s) = -4*s + 6. What is 3*h(w) + 7*n(w)?\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, k: 1, e: 14}. Give prob of picking 3 e and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + x**2 + 5*x - 2. What is the tens digit of i(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -8, 7, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4+-160\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-295)\/187 - ((1 - 20) + (-43026)\/(-2222))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**5\/60 + z**4\/4 + 29*z**3\/6 + 4*z**2 + 2. What is the derivative of h(p) wrt p?\nAnswer: 2*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 17 = 5*c, c + 0*c + 9 = 2*d. Let a be (-4)\/(-1)*3\/3. Differentiate a*g + g - 1 - d*g wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 2*w**2 - 4*w - 3. Let p be -4*(-4 - -2 - 3*3). Let y = -46 + p. Give h(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 54*r - 2 - 13 + 23 - 7. Let z(m) = -19*m**2. Calculate i(z(k)).\nAnswer: -1026*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4)\/(4\/6 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -19\/7 (b) -6 (c) -1.01 (d) 0.1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 36 = 3*h, 12*a - 5*h + 219 = 103 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/7632 and 19\/1113?\nAnswer: 53424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-131)\/7 - -17)\/(3\/(-28)). Calculate the greatest common divisor of l and 1616.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56402222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + o = -4, 0 = 3*w - 50*o + 51*o + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 9. Calculate the remainder when c\/2 - (-3 + -6) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 175 = 99 + 106 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 - 57*b + 170\/3.\nAnswer: (b - 170)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*g = -84, -3*y - 117*g + 121*g = -265. Suppose -j = -h + 80, -j + 418 = 3*h + 2*h. Let m = y - h. Which is bigger: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*n - 16982 = -67*n. Suppose -16291 = -32*u + n. Does 68 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 158?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21628691*m**3 - 24534734 wrt m?\nAnswer: -64886073*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0*u**3 - 2*u**2 + 1\/36*u**5 + 1\/36*u**4 + 0*u - 1\/1008*u**8 + 1\/120*u**6 + 0 - 1\/630*u**7. Factor t(k).\nAnswer: -k*(k - 2)*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - 0.2. Let f = 13.8 + 2.2. Let m = f - 20. Which is the second smallest value? (a) m (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-16)\/4)\/16)\/((-15)\/48). What is the nearest to 1\/5 in 0.4, 6, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 11*q**2 + q - 2. Let x be a(2). Suppose 4*i + x = 2*j, -2*j - 10 = -0*i + 2*i. Is -8 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002439 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 + 0*h**4 - h**4)*(3*h + h - h + 1 - 2*h - 1 + (-1 + 1 - 2)*(-2*h + 5*h + 0*h) + 0*h - 2*h + 0*h + 0*h + 0*h - 2*h).\nAnswer: 9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 10*h - 8. Let m be h\/18*(-171)\/(-38). Is (-757)\/m*(-48)\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -569, -1140, -1731, -2354, -3021?\n\"Answer: -2*p**3 + 2*p**2 - 563*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2820 = 6*g, g + g + 1886 = 2*j. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -23*n**3 + 2*n + 2. Let z(m) = -505*m**3 + 45*m + 45. Let u be ((-10)\/7)\/(46\/(-1449)). Determine u*d(k) - 2*z(k).\nAnswer: -25*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 53 - -420288?\nAnswer: 420341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 18 = -o, 0 = 3*a + 3 + 3. Let x = 10 - o. Solve -5*c + 14 = 4*t, x*c + 2*t - 5 - 1 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -12, 0.5, 0.075, 131\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131009 = -30*f - 22379. Let r = 1170 + f. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21785894 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.956436 kilograms?\nAnswer: 8956.436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04 + 0.1. Let g = s - -3.36. Let u = -1 + g. What is u rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 71, -0.4?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 331473.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/13)\/(z\/z**(-6\/7))*(z**(-2\/3)\/z*z)**(-12))\/(z**(4\/3)\/(z\/(z\/z**2))*(z**(-2\/9)*z*z)\/(z*((z*z**(3\/8))\/z)\/z)) assuming z is positive.\nAnswer: z**(34417\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*t - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 19*p + 79. Calculate the least common multiple of z(-4) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*t - 30 = 0, -4*b - 1 + 22 = t. Let k be b + 5\/((-10)\/6). Suppose k*v - 2 = -4. Is -2\/5 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124 + 1662. Let x = -7726 + 77343\/10. Calculate the common denominator of w\/(-936) + 48\/(-216) and x.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4713910, -4713785, -4713662, -4713541, -4713422?\nAnswer: -4713305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**6\/120 + 13*c**5\/60 - c**4\/3 - 23*c**3\/3 - 119*c**2. Let k be j(12). Solve 16 = -2*f - 5*q, -3*q = -k*q + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 4*n + 36 - 22 = 0, 0 = -3*s + 2*n + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13543077, -27086170, -40629263?\nAnswer: -54172356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-72)*-3)\/(4\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -531b?\nAnswer: -532a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00752941442 rounded to 4 decimal places?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1036, -1988, -2940, -3892, -4844, -5796?\n\"Answer: -952*t - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -633.60016 rounded to zero decimal places?\nAnswer: -634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 4*x - 9, x + 5 = -5*a + 29 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-4)*2*1. Let p(h) be the first derivative of h**4\/4 + 11*h**3\/3 + 5*h**2\/2 + 7*h + 46. Does 29 divide p(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/3)\/w**(2\/13))\/(w**(2\/3))**(-12)*(w*((w*w\/w**(-1\/4)*w)\/w)\/w*w*w**0\/w)**(-2\/57) assuming w is positive.\nAnswer: w**(9535\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 12, x: 3}. What is prob of sequence xx?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 113487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43805 = 36*t - 21355. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 39*j**2 - 18*j + 706. Let a be l(39). Solve -u + 5*x = -3*u + 19, a*u = -4*x + 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 570981776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r + 12. Let m be c(3). Let b be -3 + m\/3 + 2. Suppose 2*a + 2*j = 500, 2*a - 480 = -b*a + 3*j. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2088)\/232 - (-24 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -815 - -1211. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 210?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**4 + 109*k**3 + 2*k**2 - 900*k wrt k.\nAnswer: 24*k**2 + 654*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*l**2 + 8*l - 8*l.\nAnswer: 164*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmeimgemjegimgeiigie. What is prob of picking 2 g and 1 e?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**4\/3 - 11645*t. Let w(y) = 5*y**2 + 2. Give w(r(c)).\nAnswer: 80*c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -32*t + 5. Let m(z) = 27*z - 4. Let p(u) = -6*a(u) - 7*m(u). Let f = -14 + 20. Let w(s) = -4*s + 2. Calculate f*p(n) + 4*w(n).\nAnswer: 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1747308 less than -1747318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:33 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)*s)**31*(s*s**(-3))\/(s*s**(2\/27)*s)*(s**(-1)*s**(-1\/4))\/(((s\/(s**(-9)\/s))\/s)\/(s*s**(-2\/11))) assuming s is positive.\nAnswer: s**(7319\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -118*o + 1473. Is k(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.20056. Round d to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 549228 - 281966. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-116)\/(-14) - 4\/14. Suppose l*a - 40 = 3*a. Find the common denominator of (-7)\/(-28) - 66\/a and -36.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 0*v - 3*v + 1 - 4*v. Let a be m(5). Find the common denominator of -133\/6 and ((-10)\/(-240))\/(1\/a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 45 = -3*x - 4*h, -3*x + 65 = -h. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 22.999.\nAnswer: 40.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15 + 16)*((-3)\/3 - -162). Let o = 170 - a. Solve o*f = 5*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.4079 + 15.755. Round m to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 20*l + 21. Is 20 a factor of z(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/27637303 or 1?\nAnswer: 16\/27637303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2023220 + -5a?\nAnswer: -202327a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 185721\/187810 + 2\/169029. What is the common denominator of 77\/20 and x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7 + s + 14)*(3*s**4 - 5*s**4 + 3*s**4).\nAnswer: s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 615 = -3*v + 954, 5*n - 3*v = 1995. Calculate the highest common factor of n and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 52. Let u = s - -32.9. What is the closest to -2\/9 in 3\/5, u, 2\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/7 + 279795*v\/7 - 6994250\/7 = 0. What is v?\nAnswer: 25, 279770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -111, -230, -349?\n\"Answer: -119*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsxyhyhyjshsjjhsxshh. Give prob of picking 1 x and 1 j.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195680*p**3*x**3 + 20*p**2 + p*x**3 - 80*x**2 + 4*x wrt p?\nAnswer: -1174080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**5\/10 + l**4\/3 - l**3\/6 + 3*l**2\/2 - 31*l. Is 45 a factor of t(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19324178 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 4*w - 16 + 24, 15 = -3*d - 3*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2*(-6)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -67*-0.1\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 7) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 16) to base 2.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 60338 - 4*p**2 + 60347 as j*p + h*p**2 + g and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztz when three letters picked without replacement from {t: 1, w: 1, z: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**3 + 7*t**2 - 8*t. Let w(l) = 4*l**3 + 6*l**2 - 7*l. Let q(s) = -6*w(s) + 5*y(s). Let n be q(3). Is 24 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 0 + 2 + d + d**2 - 1. Let j(v) = v - 2. Let n = 272 + -271. Determine n*h(r) + j(r).\nAnswer: r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 20. Suppose u*s = 24*s + 8. Let a be 2*s\/(-6) - 68\/(-276). Are a and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 112484\/(-461)*((-1)\/4)\/1. Solve -a*o = -70*o - 54 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5779 is divided by 2386.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00064388 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 5. Suppose -4*u - z + 9 = 0. Is 4*u\/(8\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(0\/3)\/((-160)\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 minus -56?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17823 and 227586.\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**2 - 3*t + 2. Let i be 2*1\/6*6. Let j(q) = -2 - 3*q + 9*q**2 - i*q + 3 + 3. Calculate 3*j(g) - 5*r(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -626 - -1389. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18560 and 3456?\nAnswer: 501120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0, 3, 186, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162321795 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00041152 to 5 decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -46751*d**3 + 6*d**2 + 5*d - 3. Let i be r(-1). Suppose 4533 + i = 42*b. List the prime factors of b.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0723 to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.93 + -0.07. Let x = -0.4 + -1.6. Let v = w - x. Which is the third biggest value? (a) 1\/7 (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -17*d**2 - 6*d - 11. Let h(r) = -r + 1. Let f(l) = -a(l) + 2*h(l). Let t = 1205 + -1215. Is f(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2248911313?\nAnswer: 11, 204446483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**3 - 2*x**3 + 3*x**3 + (-x + 0*x + 3*x)*(4*x - 4*x + x**2) to q*x**3 + v + d*x**2 + c*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -549 or -3834\/7?\nAnswer: -3834\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - k**2 + 6*k**2)*(-k + 2*k + 5*k) - 2*k**3 + 2*k**3 - 2*k**3.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7245449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6723 times 0.3?\nAnswer: 2016.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*y**3 - 570*y**2 + 1140*y - 280.\nAnswer: 5*(y - 14)*(y - 2)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3258 by -30976.\nAnswer: 1629\/15488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/52660326 and 59\/66.\nAnswer: 579263586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a**4*l*q + 243*a**4*l + 2*a**3*l*q + a**2*q + 3563*a*l wrt a.\nAnswer: 192*a*l*q + 5832*a*l + 12*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -47. Suppose -15 + 89 = 5*x - 3*j, 2*x = -4*j + d. Solve t + 3*y + x = 0, -2*t + 6*t + y = -19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 + -23640156907549.\nAnswer: -23640156907548.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = 7. Let u = c - -18. Suppose 0 = 2*r + 3*q - u, -2*q = 3*r - 11 - 0. Solve -o = -2*n - 0*n + r, -9 = 3*o + 2*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3124769\/88 - 35508. Find the common denominator of 35\/88 and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -170 + 116 + 33 + 19 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2)*f**(5\/3))\/(f\/((f*f*f\/f**(2\/7)*f*f)\/f*f))**(7\/5))**(3\/11) assuming f is positive.\nAnswer: f**(191\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159 and 167056?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 14. List the prime factors of j\/(-4)*(-3 + -21).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -272? (a) -4 (b) -3\/4 (c) 2\/17 (d) -2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9014 is divided by 7521.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 970421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 0 - 3)*(1 + 0 - 3) - 3 + 4 + 14 + 1 + 1 + 0 + (0 + 3 - 4)*(-3 - 2 + 3))*(3*d**2 + 0*d**2 - 4*d**2) to j*d + p*d**2 + h and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/6, 48\/11, -4, 1.97.\nAnswer: -4, -3, -1\/6, 1.97, 48\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 492*k + 1012. Let v be j(-2). Put 5, v, -2, -5 in descending order.\nAnswer: v, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**5 - 25*c**4 - 1667*c**3 + 36761*c**2 + 337330*c - 372400 = 0.\nAnswer: -38, -8, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 6 + 5 + (5 - -1) + -14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(3 - 5 + 3)*(1 - 2*s - 1 + (s + 0*s - 2*s)*(-4 + 2 + 3) - 5 + 5 - 2*s) + (-6 + 3 + 1)*(-3*s + s - 4*s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*l - 4402*l + 2541*l - 5264*l in the form c + s*l and give s.\nAnswer: -7232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.29 - -17.6. Let j = o + -18. What is j rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i + 389 = 2*x, 34*x = 3*i + 62*x - 25*x + 27 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13919077*p**2 - 3140917.\nAnswer: -27838154*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q + 10*q - 4*q)*(1 - 1 + 2*q) + 9*q**2 + 15*q**2 - 56*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*(-1*(sqrt(175) - (sqrt(175) + 1)) - 3*(sqrt(175) + 1) - (2 + (sqrt(175)*-1 + -4 - sqrt(175) - sqrt(175)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 3*d + 0*d)*(0 + 2 + 2) + 0*d + 1 + 8*d - 4*d.\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/6))\/(p*p\/(p*p**(-2\/5))*p)*(p**0)**47*((p\/((p**(-3\/2)*p)\/p))\/p**(-1\/4))\/(p**(-6)*p**(-4\/11)) assuming p is positive.\nAnswer: p**(4981\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + p - 292 = 0, 4*q - 52*p - 228 = -50*p. Solve -33*v = -q - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -84, -152, -218, -282, -344, -404?\n\"Answer: o**2 - 71*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1183*o - 11. Let r(z) = -237*z - 2. Calculate 22*r(k) - 4*s(k).\nAnswer: -482*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 4 + 3*n**4 + n - n**2 - 4*n**4 + n in the form v*n + d*n**2 + s*n**3 + k*n**4 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39, -37, 69, 327, 785?\n\"Answer: 8*f**3 + 4*f**2 - 66*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 + 57\/(-6))\/(2\/(-4)) is divided by (-2)\/6*(-1 - 38).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 3 - 3 + 4)*(-2 + 1 - 1).\nAnswer: 2*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 22*s**2 - 1 - 3*s**3 - 76*s + 20*s**2 - 1 + 4*s**3 in the form l*s**3 + g*s + z*s**2 + j and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z + 86. What is l(-8)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178570970*y**3 - 178570948*y**3 + 357141916*y**3 + 7*y**2.\nAnswer: -2*y**3 + 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21263 = -3*n - 5*j, -n + 359*j = 361*j + 7088. Is -7087 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 18 = -15*u + 12*u, -2*u = -10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112 by 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v**2 - 4142*v + 1403570. Let p(a) = 23*a**2 - 12445*a + 4210711. Let f(w) = 2*p(w) - 7*t(w). Find c, given that f(c) = 0.\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 41\/(-246) + (-14)\/(-36). Put 3\/5, b, 1 in descending order.\nAnswer: 1, 3\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-182 + 190 - (1 - -74))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2606782970 by -5.\nAnswer: -521356594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 1:12 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -l - 3*n + 94813, -n = 5. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*c - 20*c + 500 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432735930.\nAnswer: 2, 3, 5, 11, 79, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -1\/3*p**3 + 0*p + 0*p**2 + 1. Let k(u) = -u. Let d(q) = -4*q. Let o(l) = -2*d(l) + 6*k(l). Calculate o(h(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (2 + -1))*-15. Let o be (r\/6)\/((-3)\/(-42)). Let u = 48 + o. What is the remainder when 51 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -3, -0.5, -1764?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**5\/30 + 13*n**3\/6 - 18*n**2 - 17*n. Let g(i) be the first derivative of b(i). Differentiate g(j) wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 206.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1902*j + 3614*j + 5333 = -54587 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 - -15a5289?\nAnswer: 15a52b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 524.491mm in meters?\nAnswer: 0.524491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -79030.1803 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -32287 (base 11) in base 15?\nAnswer: -dd82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f + 2. Let u(r) = -r**3 - 3*r**2 + 3*r + 6. Let p be u(-4). Let q(n) = 7*n - 5. Let a(x) = p*z(x) + 4*q(x). Let v(d) = 3*d**2. What is a(v(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 793056\/7, -2\/13, -1\/12 in descending order.\nAnswer: 793056\/7, -1\/12, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p - 116. Determine l(19).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d + 370 - 232 = 28*d - 2022 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051631716 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k. Let s(v) be the third derivative of v**8\/10080 - v**5\/10 - 12*v**2. Let m(x) be the third derivative of s(x). What is m(a(q))?\nAnswer: 98*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t, 2*t - 17 - 9 = -4*w. Let z(k) = -k**3 + 8*k**2 - 7*k - 9. Give z(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69.44 - 68. Let a = -208459 + 208460.44063. Let c = a - n. Round c to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbea when four letters picked without replacement from {a: 2, h: 1, o: 4, c: 1, e: 1, b: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 120 = 5*s, -2*n - 5*s = -0*s - 30. Calculate the highest common factor of 50 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 f when four letters picked without replacement from {l: 5, z: 3, v: 2, y: 5, f: 3}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, d: 5}. Give prob of picking 1 d and 2 j.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(16\/(-4))*(-48)\/8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t = 5*j, -5*j + 2*t + 14 = 0. Suppose 0 = 3*c + 5*r - 30 + 7, j*c + 3*r - 14 = 0. Are -2.5 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69609029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j + 6. Give h(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 - 209 + 103 + 9*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*k - 2. Suppose -9 - k = -5*g. Solve 4*o + g*a + 2 = 0, 2*o = 2*a - 4*a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 6)*(-6)\/(-10). Let g(q) = -23*q - 10. List the prime factors of g(z).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33128971543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 + 1)*(-13 + 35 + 48)*(w - 3*w - w + 2*w**4) to m + b*w + j*w**2 + s*w**3 + a*w**4 and give b.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 11*w**2 + 18*w - 11. Let u = -134 - -147. Let r be b(u). Calculate the highest common divisor of r and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 176 and -8.441?\nAnswer: -1485.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 15*o**2 + 16*o - 6. Let s be k(16). Let b be s\/(-21) + 20\/28. Let i(f) = -3*f**2 - 2*f + 1. Determine i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*(-3)\/6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*u, 494*l + 3*u - 319 = 493*l. What is the highest common divisor of l and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/16*(14\/21)\/(-2 + 25).\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:31 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 4. Let d be v(0). Suppose -19 = 5*t - 6*h + 3*h, -h + 3 = -t. Let g be (-18)\/24*(1 + t). Sort d, g, -10 in ascending order.\nAnswer: -10, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 4*m**2 + 5*m - 2. Give o(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000045778 to seven dps.\nAnswer: -0.0000458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 15728*k**2 + 31464*k.\nAnswer: -2*k*(k - 2)*(k + 7866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/28 + (-12877)\/4977.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*(0 - -8). Let s be 2*g\/(-8) - 0. Let v be (0 + 2 + 1)\/s. Which is greater: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/23, 1, -2, 2, 2\/307, -67?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.70216g to milligrams.\nAnswer: 84702.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - d**2 + (0*d + 3*d + 0*d)*(-1 + d + 1) + (3 - 1 - 5)*(0*d**2 - d**2 + 4*d**2) - 2 + d**2 + 2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*h**3 - 5*h**3 - 21*h**3.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jege. What is prob of picking 2 e and 1 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-245)\/77 + 2\/11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -8 + -11 + (7 - 7) + -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**11*p**(1\/8)*p**(-6)\/((p\/p**13)\/p*p))**45 assuming p is positive.\nAnswer: p**(6165\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -3 + 0*l**2 + 4*l - 3\/4*l**4 + 0*l**3. What is the derivative of m(f) wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -869*j**5 - j**4 - 2*j**3 - 538*j**2 - 42 wrt j?\nAnswer: -52140*j**2 - 24*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d - 12 - 10 + 24. Let z(x) be the first derivative of -35*x**2\/2 + 15*x + 2. Let a(u) = -15*m(u) + 2*z(u). Let s(f) = 2*f. Calculate a(s(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106555927?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222 divided by 1353.\nAnswer: -74\/451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqzrrrrzzzr. What is prob of sequence rz?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/75 and -83\/450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 76.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13305876 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 92, 95, 100, 107, 116, 127?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 66 = -4*r + 86, 0 = 3*r - 3*g - 90. Calculate the highest common factor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = 50*u - 55 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.4 + 0.4. Let b = -0.51 + -0.13. Let m = 0.54 + b. What is the closest to m in f, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1356231885 and 3295?\nAnswer: 3295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 2, v: 3, m: 3, q: 1, o: 3}. Give prob of picking 1 v and 1 q.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12296341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -53. Suppose 0 = l*f - 66 + 3. Let y(v) = 2*v**2 - 6*v - 26. Let q be y(f). Round q to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*f + 53926, 4*r + f + 54501 = 162419. What are the prime factors of r?\nAnswer: 2, 7, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven halves of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.034, -3\/2, -1\/7.\nAnswer: -3\/2, -1\/7, 0.034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*v - 0*v + 44, -2*p + v + 52 = 0. Let r be (2\/(-6))\/((-28)\/336). Solve r*g = -2*g + p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 163248039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 + 1. Suppose 3 + 1 = 2*k. Which is the second biggest value? (a) 0.5 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 523521 = -15*s. Let i = s - 88831. Round i to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5009751 (base 12) to base 11\nAnswer: -8489615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 68*q**2. Let g(b) = -5*b**2 - 42*b + 12. Let i(s) = -s**2 - 7*s + 2. Let n(u) = -g(u) + 6*i(u). Determine l(x) + 51*n(x).\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a**2 - 183*a**3 + 14*a**2.\nAnswer: -183*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5968? (a) -5 (b) -3 (c) 1\/7 (d) -2\/15 (e) -1 (f) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 - 3*t**2 + 2*t - 1. Suppose 2*u - 5 - 5 = -2*m, 2*u + 2 = 2*m. Suppose 3 + 17 = 5*c + 2*p, -m*p = c - 17. What is q(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8374.696ug in nanograms?\nAnswer: 8374696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1288, -5189, -11692, -20791, -32480, -46753, -63604?\n\"Answer: z**3 - 1307*z**2 + 13*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - 313*q. Let z(s) = -2*s. What is k(z(m))?\nAnswer: 16*m**2 + 626*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87066, -87067, -87080, -87111, -87166, -87251, -87372, -87535?\nAnswer: -87746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 5*i**2 + 5*i + 4. Suppose v + v = w + 8, 3*w = -6. Suppose v*b = -13 + 4. What is the tens digit of s(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.88560014 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.0060625 months?\nAnswer: 0.000167171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = 4133 - 11438. What are the prime factors of c?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 28 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0075 + -0.0065. Sort -1, 1\/7, y.\nAnswer: -1, y, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v**3 - 11*v**2 + 10*v - 12. Let o be x(4). Find the second derivative of -136*h - 2*h**5 + o*h + 23*h**2 - 134*h - 137*h wrt h.\nAnswer: -40*h**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -2\/3, -30940, 3, 0.2 in ascending order.\nAnswer: -30940, -2, -2\/3, 0.2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -24213?\nAnswer: -24232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, q: 6}. Give prob of sequence qqqh.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(8\/5)*i**(2\/11)*(i**(4\/9))**(-8\/7) assuming i is positive.\nAnswer: i**(4414\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -44, -59, -68, -71?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -y + 1, 2*y + 2 = -o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4933*x - 986*x - 2346*x as b*x + o and give b.\nAnswer: 1601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 q when three letters picked without replacement from {k: 1, w: 2, q: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -809, -5, -7, 1, -3 in increasing order.\nAnswer: -809, -20, -7, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -16 - 9 - -19?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 85.81629nm?\nAnswer: 0.00000000008581629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 12. Suppose y = -2*t - t + 12. Solve 0 = -v + t*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence raa when three letters picked without replacement from {a: 4, s: 6, c: 1, r: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*p**3 - 25463028*p**2 - 16975364*p - 2829228.\nAnswer: 4*(p - 707307)*(3*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2 + 524*w - 11381. Calculate l(25).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18830 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177155 + 177178.99936. Let w = 0 - -24. Let c = k - w. What is c rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 - -77. Suppose c - b*c = -210. Suppose 3*t - 35 - 115 = 0. Calculate the highest common factor of t and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1662 + 1656. Which is smaller: 1\/27 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 59278475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) -0.4 (c) -29\/4392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 7*a + 5*n - 21, -3*n + 3 = a. Solve -2*v + 4 = -q - 3, -a = -3*v + 3*q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + 4 + -2 + 2)*-1. Suppose -q*w = -5*r - 9, r - 1 + 6 = 2*w. What is the smallest common multiple of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -9*u + 11*u. Let c = -3 - -2. Sort u, -0.7, c in descending order.\nAnswer: -0.7, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 4 - 2*m**2 + 167*m**4 - m + 2 - 162*m**4 as j*m + g*m**2 + k*m**3 + w + r*m**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -38*o - 462. What is m(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/151 >= -0.0296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 146740, 5, 4 in descending order.\nAnswer: 146740, 5, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2190 + 1302. Let d = -599 - w. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4953 and 4168775.\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -4, -1 in decreasing order.\nAnswer: 5, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1473579)\/72*64\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 1003110203?\nAnswer: -1003110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 2*i - 384 = 0. Let q = -247 - -24. Let p = i - q. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 40 = -4*f, -5*t + 4*f + 22 = -23. Suppose 5*i - 2*r - 21 = 3, 0 = t*r - 15. Solve 5*q + i = -4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26607282.\nAnswer: 2, 3, 13, 43, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgpofpj. What is prob of sequence pp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = 5*o - 1060. Let f = 272 + o. Is f a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - -21. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40112 (base 8) to base 2.\nAnswer: 100000001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-32)*20*(-1 - 1). Solve -3*v - 3 = 4*t - 1, -20 = -c*v + 5*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*c + 70, -4*r + 5*c = 2*c - 136. Solve -3*k - r = -28 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/5 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 2*b**2 + b - 1. Let f(v) = -427*v**4 - 4*v**3 + 8*v**2 + 6*v + 94. Let m(h) = -f(h) + 4*j(h). Find the second derivative of m(a) wrt a.\nAnswer: 5124*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15827, -15081, -14359, -13673, -13035?\n\"Answer: -2*h**3 + 760*h - 16585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 1. Let u be 1*7\/(7\/12). Suppose -u = 3*i - 6*i. Put 3, i, l in decreasing order.\nAnswer: i, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -497 - -93. Let d = 355.2 + m. Round d to zero decimal places.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1137 - -1170. Solve -4*j - 37 = -f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11001010011100011101100 (base 2) to base 9\nAnswer: 13430656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 20. What is the tens digit of ((-84)\/k)\/(9\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/64, -33\/7, -12\/3071?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14045 - 14045 - 21*s)*(-s + 4*s**2 - 2*s**2 + 0*s).\nAnswer: -42*s**3 + 21*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1624 - -1626. Put 0.06, 24, p, -1 in decreasing order.\nAnswer: 24, p, 0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 711 a factor of 2293686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 52*x - 171 = 0, -6265*x + 11 = b - 6267*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 19*l**2 + l + 22. Let d be i(-19). Suppose 16 = 2*h + 2*h. Suppose h = g - d. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -6*l - 2*l**3 - 5*l + 0*l - l - 10*l**2 = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, -6191, -2, 49, -8 in increasing order.\nAnswer: -6191, -8, -7, -2, 2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 1, y: 4}. Give prob of sequence bay.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Put 2\/27719, -2, -14, 89, 5, 3 in descending order.\nAnswer: 89, 5, 3, 2\/27719, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19578, 39181, 58784, 78387?\nAnswer: 97990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -36*((-8)\/(-2) - (-77)\/(-14)). Let g = w - -7. Calculate the remainder when 424 is divided by g.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*s - 301 + 461 + 400 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 874940, 874939, 874938?\nAnswer: 874937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 10) to base 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 1312\nAnswer: 7\/1312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1861, 64646, 4 in decreasing order.\nAnswer: 64646, 1861, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.56 times -1?\nAnswer: -15.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - 1.08. Let p = r - -0.19. Which is bigger: -0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + 0.83. Let k = q + 0.04. Let a = k - -0.08. What is a rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -227 (b) -1\/42 (c) -4\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206683, 413216, 619747, 826276?\nAnswer: 1032803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -269 + 412. Let s(f) = 103*f - 2742. Let m be s(26). Let d = y + m. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 2 - (5 + 2). Let g = -6 - p. What is the third derivative of 6 - g*l**2 + l**5 - 6 wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -4, 9064 in ascending order.\nAnswer: -44, -4, 9064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, r: 1, n: 2, l: 2, g: 1}. What is prob of sequence rtgt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -43. Put 12, 2\/3, v in decreasing order.\nAnswer: 12, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 327143815*j**2 - 15333*j + 3337.\nAnswer: 654287630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -216, -0.4, 3\/4 in decreasing order.\nAnswer: 3\/4, 0.3, -0.4, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8007943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4272.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 87\/4. Let g = -17 - -18. What is the third smallest value in 0.2, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 + 2*s**4 - 3*s**4)*(1 - 4 + 2) + (-2*s**3 - 7*s**2 + 7*s**2)*(-5 + 5 + s).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-98)\/56)\/(-2 - 18\/(-8)). Let t(c) = -6*c**3 - 8*c**2 - 12. Let o(a) = -7*a**3 - 8*a**2 + a - 13. Let z(q) = 5*o(q) - 6*t(q). Does 21 divide z(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10106 - -182011\/18. Let h be -3 + (-258)\/(-27) - 1. Let u = z - h. What is the second smallest value in u, -5, 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14664, 13351, 11164, 8103?\nAnswer: 4168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-33 - -41) - ((3 - 1) + -37) - 2\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 9*h**2 - 12*h - 14. Give t(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 0. Let g = -273.29 + 284. Let i = 10.51 - g. What is the third smallest value in -0.4, o, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12087764 is divided by 1447.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3083156 (base 10) to base 12\nAnswer: 1048298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a9 (base 13) in base 14?\nAnswer: 5c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 + -1)\/(16\/4). Let l(m) = 11*m - 29. What is l(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 70 = 3*j + 2*f + 8*f, j - 2*f = -14 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + (-43 - -34 - 8).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*u + 998 = 4894 + 2152 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 421971a (base 11) to base 13\nAnswer: 1704703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/6 and 37\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c - 305. Let b(t) = 2483*t - 17078. Calculate the remainder when b(7) is divided by c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/60 - 5*s**4\/24 + s**3 - 4*s**2. Give m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-7)*(p*p**1)\/p)\/(p**(-3)\/p**(2\/3)) assuming p is positive.\nAnswer: p**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -755 - 4259883\nAnswer: -4260638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -26\/531, -3\/4, 0.3, -46.\nAnswer: -46, -3\/4, -26\/531, 0.3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - -2.3. Which is the nearest to -0.3? (a) 5 (b) t (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u. Let b be j(-1). Let t(z) = -z - 4 - 4*z + 4*z**b - 3*z**2 + z**2. What is t(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 3*i - 1 + 0*i**3 + 5*i**3 + 2*i**2 - 5*i**3. What is v(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3\/3 - 27990*h**2 + 28163520*h - 7312504320.\nAnswer: 5*(h - 15738)*(h - 528)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**5\/5 - 12*k**4\/5 + 216*k**3\/5 - 592*k**2\/5 + 96*k = 0?\nAnswer: -10, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*r = 4*r + 336, 3*d - 504 = -3*r. Round d to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9418.41 months to decades.\nAnswer: 78.48675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 10*y - 13*y + 155, 261 = 5*y + l. Calculate the remainder when y is divided by 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*s = 126. Let h = 29 - s. Suppose -h*n = -4*n - 72. Calculate the smallest common multiple of 16 and n.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86.004 + 86. Let k = 2.004 + z. Is k less than or equal to -3.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 22. Let l(w) = w. Let d be l(11). Calculate the greatest common factor of d and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274100023 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 312868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 152, 0.4, 0.3, -5, 3 in decreasing order.\nAnswer: 152, 3, 0.4, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 3, 103, 0, -25, 4 in descending order.\nAnswer: 103, 5, 4, 3, 0, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfffqq. What is prob of sequence fq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*m**2*s**2 + 2477*m*s**2 - 30044*s**2 wrt m?\nAnswer: -32*m*s**2 + 2477*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 26394.\nAnswer: 52788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhuushhuhhhh. Give prob of picking 2 h.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 2. Let z be o(2). Let l = 182 + -177. Suppose -5*v = -l*f - 50, 4*f = v + 9 - 34. Solve -2*c + v*t = z, 5*c - 40 = c - 5*t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(125) + sqrt(125) + -2 - (-4 + sqrt(125))*-2) + 4)**2.\nAnswer: -300*sqrt(5) + 3161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s + 58. What is y(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 + 200?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 285, -2\/9, 10 in descending order.\nAnswer: 285, 10, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - q + 1, -8*j = -7*j - 8*q - 28. Solve 7 = -4*i + n, j*i + 0*n + 37 = -5*n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from aajaaaajajjaaaaaajaa.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -42, -41, -24?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 28. Solve 0 = -4*f - m - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - -55 - (3 - -20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 15*r + 6 = 0. Suppose 3 = -3*q, 0 = -r*y + q + 1. Let o(s) = s - 7. Calculate o(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -44, 71, 328, 775?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + (4*(-1 + sqrt(832)) + -1)*-5)**2.\nAnswer: -7680*sqrt(13) + 333376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6521*2036.\nAnswer: 13276756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76023 or -75245?\nAnswer: -75245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 - -1 - (157 - 152).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4432 - 2106. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 12. Let h = -12\/77 + 8\/11. Factor 0*y**2 - h*y**4 + 0 + 0*y - 2\/7*y**3 - 2\/7*y**g.\nAnswer: -2*y**3*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 29*y - 17 + (4 - 4 - 1)*(4*y - 2*y - y) - 1013*y - 1060*y + 85*y - 551*y in the form s + z*y and give z.\nAnswer: -2569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 295074 and 970.\nAnswer: 1475370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5098.14 - -5097. Sort 9, r, 0.5.\nAnswer: r, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, w: 3, q: 7}. Give prob of sequence vww.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 26 = -s, 3*s - 6*s = -2*k + 10. Solve -2*l = h + 1, -5*l + 5 = k*h - 7*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + 58*d**2 + 36*d**2 + 16*d**2. Let n(o) = 2*o**2. Calculate n(y(k)).\nAnswer: 23328*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + f + 97250 = 8246, -5*f + 177980 = 4*k. Suppose 2*y - k - 9100 = 0. What is y rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -78*h**3 + 6*h + 4. Let b(x) = -79*x**3 + 7*x + 5. Give 4*b(m) - 5*r(m).\nAnswer: 74*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 16. Let q(w) = -w**3 - w**2 + w - 1. Let g(s) = 2*s**3 - 5*s**2 + 7*s - 6. Let z(k) = m*q(k) - g(k). Give z(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820*o + 85*o - 139*o.\nAnswer: -874*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1736 = -74*o + 1810 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 6*u**2 + 4*u + 17. Let h be l(-6). Let z be -1 - (-7)\/(h\/(-3)). Solve -4 = z*r - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/5 + 52*x**3\/5 + 1529*x**2 + 131924*x\/5 + 46740 = 0. Calculate x.\nAnswer: -50, -19, -2, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4885630.\nAnswer: 2, 5, 17, 29, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s. Let o(v) = 807*v + 9. Give c(o(a)).\nAnswer: 4035*a + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56809411 and 2283.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wff when three letters picked without replacement from ifywriyyyicwyifrwiyf?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 1, 4 in ascending order.\nAnswer: 1, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13\/99 + -1\/11. What is the third smallest value in -0.1, w, -2, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39.4 - -696.6. Let q = f - 748. Sort q, 0.05, 4 in ascending order.\nAnswer: q, 0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/3))\/(p\/p**(1\/5)))\/((((p**(-5)*p)\/p)\/p)\/p*(p*p\/(p**8*p))\/p) assuming p is positive.\nAnswer: p**(238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 - (-4 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -525 (base 6) in base 5?\nAnswer: -1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6. Let i be (-148)\/(-5) + (-4)\/(-10). Let y(l) = 10 - i - l + 14 + 4. Give 2*w(b) - 6*y(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000201323 (base 4) in base 9?\nAnswer: 442513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 29.075588837 - 7.1\nAnswer: 21.975588837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 87977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -10880130 at most as big as -10880130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(14)\/(sqrt(7) - (sqrt(7) + 1*sqrt(7)))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/486 and -145\/791046.\nAnswer: 2373138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 28*j - 15. Let o(b) = 35*b - 14. Calculate -3*o(f) + 4*y(f).\nAnswer: 7*f - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (129 - 55) + -18 + -16?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from eeeedaavcawcceddewad?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 5830*a - 40. Let v(x) = x**2 + 8745*x + 56. Give -5*v(d) - 7*w(d).\nAnswer: 2*d**2 - 2915*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5140457869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(17) + 5 + sqrt(153))**2 + sqrt(425)*-2 + (-4 + sqrt(612) - sqrt(1377)*2).\nAnswer: 28*sqrt(17) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-2))\/(0 + (-5)\/(-8)). Factor b + 0*h - 6\/5*h**2 - 2\/5*h**3.\nAnswer: -2*(h - 1)*(h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153*a**3*h**3 + 3*a**3 + 318*a**2*h**4 + 2*a**2*h**2 + 3*a*h**2 - 72*a - 24*h wrt h?\nAnswer: -918*a**3 + 7632*a**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.291 + 7.391. Is -82 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46, -163, -358, -631, -982, -1411, -1918?\n\"Answer: -39*i**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.7 + -4.7. Let q = a + 1.8. Let f = 2.8 - q. What is the smallest value in 5, -0.1, 2\/7, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -10, -w = -3*y + 17 - 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 67.308.\nAnswer: -71.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276560760?\nAnswer: 2, 3, 5, 7, 17, 107, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-2)\/(-18))\/((-30)\/180).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3 + 232*o**2 - 11220*o + 154800 = 0 for o.\nAnswer: 30, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 13) to base 10.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*6 + (3 - -5). Let v(a) = 0*a**3 - 19 - 3*a + m*a**2 + 23 + a**3. Determine v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430197?\nAnswer: 3, 193, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 13*q**2 - 32*q - 30. Let k be w(-15). Suppose -u + 168 - 145 = k. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1+-0.04\nAnswer: 1.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554421*f**2 + 1077476*f**2 - 523057*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/9 (b) -15 (c) 0.2 (d) -19.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 183, 331, 607, 1053, 1711?\nAnswer: 2623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*k - 831 = 559 + 1888. What is the highest common factor of k and 7029?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-12)*-27*(-50)\/6 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*y - 110, 4*y + 0*y = f - 40. Solve -19*c - f = -6*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b**2 + 13 - 16*b**2 + b**3.\nAnswer: b**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5533 and 3509?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 813854 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (19 - 9) + 891\/(-55). Is r at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x + 68. Let s = -53 + x. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i - 22. Let n(v) = -5. Let s(z) = -6*n(z) + u(z). What is s(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 3*j - 16. Does 6 divide ((-2)\/j)\/((-1)\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -11*f**2 - 2. Let o = -27 - -29. Let a(l) be the first derivative of -5*l**3\/3 - l + 1. Calculate o*b(y) - 5*a(y).\nAnswer: 3*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - f = -646535, -15*q - 4*f = -12*q - 969805. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 434 - -721. Suppose -5*y + p = n, -7*y + 4*y + 4*n + 716 = 0. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*g*n**3*v + 191*g*n**2 - g*v**2 + 2*n**3 + n + 2*v**2 - 463*v - 1 wrt v?\nAnswer: -8*g*n**3 - 2*g*v + 4*v - 463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/165*3840\/2560?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 5*p + 15, 2*p - 3*p - 12 = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -0.4 (c) -0.1 (d) -18\/17 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2. Let i(h) = -47033 - 47070 - 20*h + 94249 - h. What is v(i(l))?\nAnswer: 882*l**2 - 12264*l + 42632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/8816 or 1?\nAnswer: 3\/8816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 3*u**2 + 0*u**2 + 6*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m**2 - m + 4. Let b = -85 - -82. List the prime factors of h(b).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*y + 25 + 24 + 25 - 71 to d + p*y and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 6*o**2 + 5*o + 4. Let z be c(-5). Suppose -3*p + 3*u + 18 = 0, -3 - 5 = z*u. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917428174.\nAnswer: 2, 13, 35285699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r + o + 140 = 0, -5*r + 196 = 4*o. Calculate the highest common divisor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 194466 and 12?\nAnswer: 388932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 11:19 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 5 + (1 - 1 + 2)*(-1 - 1 + 3) - 7 + 3 + 2)*(-3 + 3 - 3*m) as b*m + h and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9885*a - 2511*a - 988*a + 7714*a.\nAnswer: 14100*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6453 = 1755*z + 37703 + 26665 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1917*d + 82433. Determine j(43).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*o + 2598 - 672 = -2160 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 10 + 2. Suppose 3*z - 4*t = 858, -1125 = -v*z - 0*z - t. Let d = -3668\/13 + z. Which is the second smallest value? (a) d (b) 2\/13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 5*p**2 + 5*p - 4. Suppose 2*w + 4 = -2*w. Let d = w - 5. Calculate b(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 144, 594, 1328, 2334, 3600?\n\"Answer: -2*f**3 + 154*f**2 + 2*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 1. Let w be 4\/(12\/(-15)) + (2 - 1). What is c(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 + -0.96. Let l = 0 - c. What is the closest to l in 0.4, -2, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1719*z**4 - z**2 + 2 - 5 + 1 - 1787*z**4 as j + q*z**2 + m*z**4 + o*z**3 + b*z and give m.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1128625.78 - -23.1\nAnswer: 1128648.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 4:30 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 102607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-108)\/225*(-51)\/((-25704)\/(-480)).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 2*h - 33 = 0, 0*h - 28 = -4*v - 2*h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-60)\/25)\/((-1)\/5). Let x be ((-8)\/g)\/(1\/3). Let z be 1\/x*(-4 - 0). What is the second smallest value in -1, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 642*s - 641*s + 11 = 0, -3*q - 4*s - 33 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1345 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259440 divided by 16215.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6457\/369 + -1\/738. Let q be 2\/(-4) - (-155)\/(-9). Let t = q - s. What is the smallest value in 0, 1\/2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 14*m**2 + 15*m - 19. Let s be l(13). Suppose 0 = -2*f + s*f - 360. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**3 + 17*x**2 + 12*x + 2. Let m(f) = -12*f**3 + 35*f**2 + 22*f + 5. Let c = -101 - -97. Let o(s) = c*m(s) + 10*l(s). Find v, given that o(v) = 0.\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106541871479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8135211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.84 + -32. Let m = z - -0.160348. Round m to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from {e: 4, l: 2, g: 3, b: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10246*u - 38200 = 10238*u. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 29 - 4 = 3*g, g = 2*i + 9. Let a(h) = 6 + 0*h - h - 3. Determine a(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a - 430 = -526 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8864 - -822.6864. Let t = 757 - p. What is t rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) + 50\/6. Let j = -1601 + 1658. Suppose -3*z + d = -j, 95 = -3*z + h*z + 5*d. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 12 = -4*h + 100, 32*a - 5*h = 33*a + 16 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-m + 3*m + 0*m) + 35230*m - 69171*m + 34878*m.\nAnswer: 935*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22.1 + -1.6. Let w = 100.5 + o. Let j = w + -121.00000098. What is j rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2 + 35*i + 36 = 0.\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (776\/(-970)*(-5)\/36)\/(16\/(-108))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 4*n - 4. Let l(a) = -3*a**2 - 5*a + 5. Give -6*d(j) - 5*l(j).\nAnswer: 3*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -0.1 (b) -4\/9 (c) -14 (d) 9\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 60*g - 90 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u + 13. Let q(s) = -9*s - 25. Let l(h) = 11*b(h) + 6*q(h). What is the units digit of l(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) 2 (b) -0.5 (c) -12460\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/26328 and 76\/327.\nAnswer: 2869752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*p + 6. Is (-5)\/(p\/3)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 24, -2\/3, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + -75. Is (t + -2)*233212\/(-56) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l - 10. Let o(s) = 4*s + 9. Let z(c) = -5*n(c) - 6*o(c). Let y be z(6). Let b = 4\/39 + 22\/39. Which is greater: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-28))\/((-2)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434363*i = 434319*i - 528 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 7:29 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 38. Suppose 4*c - 2*g - 136 = 0, 0 = l*g + 16. Let f be 2\/(-8) - (-136)\/c. Solve 3*o + r + 11 = -7, -r + 17 = -f*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 20911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/5 + (-48)\/(-60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11426 and -189669367?\nAnswer: 189657941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/5 + 6748*o\/5 + 26928\/5.\nAnswer: 4*(o + 4)*(o + 1683)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y - 2. Let u be i(1). Let r be (-3)\/u*32\/(-12). Suppose -5*m + 14 = r. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876198?\nAnswer: 2, 3, 146033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**3 + 4*k**2 - 4*k**2)*(-38*k**2 + 20*k**2 - 21*k**2) + (0*k**3 + k**3 + k**3)*(0*k + 0*k - 2*k**2).\nAnswer: 113*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbuftub. What is prob of sequence fb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**2 + 3*b + 7. Let c be v(-3). Factor 72 + 140*s + c*s**2 + 9*s**3 - 268 - 5*s**3.\nAnswer: 4*(s - 1)*(s + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -4, -0.3, 29, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 7. Let i be a(-5). Let h(b) = b**2 + 3*b + 1. Let k be h(-3). Let g = 2 + k. Solve -l - i*l + g = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.46? (a) -5 (b) 6 (c) 0.3 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzb when three letters picked without replacement from bzaazqrcbrzar.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 186 + -189. Let y = -5.61 - -6.1. Let d = y + -0.09. Which is the nearest to 0.07? (a) n (b) d (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 598\/1380 - (-6)\/(-10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*p - 13 = 0, 4*u - 9*u = p + 23. Let d(q) = -3*q**2 + 12*q + 14. Let t(r) = 2*r**2 - 6*r - 7. Let m(s) = 3*d(s) + 5*t(s). Calculate m(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 4.95. Let u = -2.95 + j. Let x = 76 + -76. Which is the closest to -2\/7? (a) x (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 342059276 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66465200 (base 8) to base 14.\nAnswer: 1c88728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8871*x + 743063 = 18116*x + 14428*x - 819355 for x.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15326, 15325, 15322, 15317, 15310?\nAnswer: 15301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1243 and -76\/7119?\nAnswer: 78309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 + 1.86. Is -3 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 408?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.4004248 to zero decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3565 + 0*l**3 - 3*l + 0*l**3 - l**3 + 2*l**3 + 850.\nAnswer: l**3 - 3*l - 2715","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -955\/4 - -239. Let 1 - f*a**2 - a + 1\/4*a**3 = 0. Calculate a.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 622 or 662?\nAnswer: 662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 + -16 + 80\/10. Sort 0, -31, -3, z in ascending order.\nAnswer: -31, -3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a day in minutes?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -4, -15, -32?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**5 + 379*h**4 - 377*h**3 - 789571*h wrt h?\nAnswer: -20*h**3 + 4548*h**2 - 2262*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p = 791*p - 3236 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8235 = 213*m - 37560. Solve m*v = 210*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 64922004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -44.327519711 and 1783.6.\nAnswer: 1739.272480289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 368\/69*(-3)\/2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.22802 to 0 dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 113\/6. Which is the second smallest value? (a) -3 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295 divided by -3?\nAnswer: 295\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-3) - (-263)\/(-30) and 75\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scc when three letters picked without replacement from cowowwlcoscwwwl?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3408*g - 6393*g - 23297*g as v + b*g and give b.\nAnswer: -26282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**(-6)))\/(o\/o**(-2\/3))*o**(-3\/4)*o**0)**22 assuming o is positive.\nAnswer: o**(605\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -0.2, 0.16, 4 in ascending order.\nAnswer: -59, -0.2, 0.16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*i = 131 + 54, 0 = -5*i - 20. Calculate the highest common factor of t and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 12, r: 1}. Give prob of picking 2 e.\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 0*o + 47 - 50 + (-3 + 1 + 3)*(-4*o + o + o) - 5*o - 5*o + 6*o.\nAnswer: -7*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 703 - 702.578. Let z = -21.422 + g. Sort z, -8, -0.2 in ascending order.\nAnswer: z, -8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from jmyvyyyyvyyemeymy.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 166? (a) 5 (b) -5 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1953 + -1919. Let q = 67 - -34. Calculate the remainder when q is divided by g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106556, 106557, 106558, 106559, 106560, 106561?\nAnswer: 106562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 94, 99, 106, 115, 126?\n\"Answer: i**2 + 2*i + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 65.88 times -0.492\nAnswer: -32.41296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (sqrt(832) - ((sqrt(832) + 1 - sqrt(832))**2 + 5))) + (0 + sqrt(832) + 1)**2.\nAnswer: 16*sqrt(13) + 839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*v + 115*v - 12*v**2.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3709184 and 4608?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 281051 to the nearest 1000.\nAnswer: 281000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from fffiffiiififfwiiiii.\nAnswer: 80\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577838?\nAnswer: 2, 311, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58606 - 19070. What is the ten thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -783.4912 to the nearest 10.\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = v - 271, -22*v + 7*i = -17*v - 1339. Sort 2, v, 4 in increasing order.\nAnswer: 2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*51\/(-17)*(-1)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 3)*1\/14. Let a = -3.96995 - 0.03005. What is the closest to a in 1\/5, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.883 - 3.283. Which is the nearest to 100? (a) 5 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15*(316\/20 + -2). Suppose -f = -13*o + 10*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1180247172 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47343 - 16728. Is 29 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 160*b + 4001. Let d be h(-31). Let t be (1 - -1)\/(-2) + 2. Solve t = 3*r - d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 12) in base 4?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qshsh. What is prob of sequence hssq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 34 times 37.9942\nAnswer: 1291.8028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 10 + 16 - 4)*(-5*f**2 + f**2 + f**2) + 12846 - 354*f**2 - 12846.\nAnswer: -420*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1682436, -3364875, -5047314?\nAnswer: -6729753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 511 + -2?\nAnswer: 50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 978\/(-9)*3. Is -327 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66216 * 1\nAnswer: -66216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*3406162.\nAnswer: -13624648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3911056 to the power of 1\/2, to the nearest integer?\nAnswer: 1978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547.215m in centimeters?\nAnswer: 154721.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -9368 + 9374 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 2*x + 40856 - 40852, 134 = -n - 13*x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 3 + 4)*(-2*g**5 - 4*g + 4*g)*(-2 + 1 + 3)*(1 - 6 + 2).\nAnswer: 156*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + w**2 + w + 3. Let v be b(0). Suppose -5*c = 0, -4*c + 2 = -a + v*a. Is (1 - 22)\/(a - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 218 = -o + 8*x, 0 = -5*x - 20. Solve o*j - 154*j + 14 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + sqrt(65)\/sqrt(5))*-6)**2.\nAnswer: -3600*sqrt(13) + 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1210979, 4843330, 10897249, 19372736, 30269791, 43588414, 59328605?\nAnswer: 77490364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20563818 (base 9) to base 16.\nAnswer: 971d29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wqwwwfq?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 4.7568.\nAnswer: 5.7568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -5)*(1 - 2). Let t(m) = -6*m**3. Give t(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b30 (base 14) to base 11.\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96448 and 75416?\nAnswer: 82655936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 + 36)*(-1 + 0)*-29?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g**2. Suppose 16 = 3*k + 7. Suppose 2*m - 4*m - 2 = 0, -2*f + 2 = 2*m. Let v(n) = -n**f + n**2 + k*n**2. Calculate v(t(z)).\nAnswer: 300*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -11002101112021?\nAnswer: -11002101112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 2:44 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 44 = -9*b. Suppose -24 = -4*n - 3*v - b, 6 = 5*n - v. Solve t + 6 = -n*t, -w + 5 = -5*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11948 and 348.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 14 = -22. Solve d = 2*k - 9, 6 = -n*k + 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1 (c) -0.1 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -81. Calculate the highest common divisor of 60 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {d: 3, n: 1, w: 6, u: 3}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 5, -19, -5.\nAnswer: -38, -19, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/20 + 5*i**4\/4 + i**3\/6 + 10*i**2 + 3*i. What is the tens digit of f(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9256 and 20707986.\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -210432, -420958, -631582, -842304, -1053124, -1264042, -1475058?\n\"Answer: -49*h**2 - 210379*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*(-4*(3*sqrt(208)*-1 + -1))**2.\nAnswer: -239744 - 3072*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let h = -2276\/21 + 326\/3. Which is the closest to h? (a) o (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*o + 4 + 26 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 4*d + 1. Let q be m(-2). Suppose -q*u = -6*u + 3. Solve 4*w - u*w = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -375*h - 751*h + 686*h - 1838*h to q + g*h and give g.\nAnswer: -2278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -4)*1*816\/(-255).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113 by 27966.\nAnswer: -113\/27966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 295 by 100.\nAnswer: 59\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1314 and -31\/16.\nAnswer: 10512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 540*y + 132*y + 88*y + 169*y + 41*y as q*y + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 486 - 449. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428542.2 kilograms to micrograms.\nAnswer: 428542200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432569 divided by -5.\nAnswer: -432569\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 - -42. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 1 = 5*c. Let y(z) = 2*z. Let h(m) = m - 1 + 1. Give c*y(b) + 10*h(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 (base 8) in base 11?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 125023 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 205 - -635. Calculate the highest common divisor of p and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114270 divided by 65.\nAnswer: -1758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(7) + 2))**2.\nAnswer: -128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/5 - 108\/(-60). Suppose -z*i - l + 40791 = 0, -2*i - 5*l - 61180 = -5*i. Let o = i + -407811\/20. Find the common denominator of -33\/10 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 8*r + 12. Let t be l(-6). Let y = -5 - -7\/2. Calculate the common denominator of y and 3 + (-2)\/(t\/(-52)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + a + 379 = 0, -4*t + 3*t + 137 = 5*a. Let s = 144 - t. What is the greatest common divisor of 153 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 1) + 1\/(-2)*2. Let f(c) = 2*c**3 - 5*c + 3. Let w(z) = 3*z**3 - 4*z + 2. Calculate m*w(r) + 2*f(r).\nAnswer: -5*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298701.4mg to kilograms.\nAnswer: 0.2987014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1663692, 1663693, 1663694?\nAnswer: 1663695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h - 6. Let w be c(-4). Factor -8*n - 4*n + w*n + 3*n**2.\nAnswer: 3*n*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/14 - (-3 + 72\/126)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 306 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r. Let h(v) = -2*v**2 + 28*v + 2. Suppose 27 = 8*c - 85. Let w be h(c). Let x(s) = -5*s**w + s**2 - 6*s**2 + 11*s**2. Determine l(x(b)).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 2. Let o = 6.3 - k. Let n = -41 + 46. Which is the second smallest value? (a) n (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/5 - (-86)\/10. Let m = 9 + t. Let b(w) = -6*w - 1. Calculate the remainder when m is divided by b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/81 and -53\/69?\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21562420 + 21562420 - 8*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 69882\/15*(-18)\/8. Let r = c + 10493. Calculate the common denominator of 53\/4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2362 + 16530\/7. What is the closest to 0 in -0.3, -1\/2, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10132122 (base 4) in base 15?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -8. Which is the closest to 8? (a) 3 (b) 5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 650 and 92.\nAnswer: 29900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6184*m + 24984. What is l(-4)?\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a**3 - 2*a**2 + a. Let r be d(1). Let w be 8\/r*(-9)\/(-6). Suppose -5*z = -5*b + 25, -z + 2*b - 10 = -0*b. Sort z, w, 1 in ascending order.\nAnswer: z, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f + 2. Let l(p) = -3 + p + 3 - 1. Let a = 3 - 6. Calculate a*d(i) - 8*l(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 233, 759, 1777, 3449?\nAnswer: 5937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(98) - 2*sqrt(98))*-3 + -2 + (-3 + sqrt(98) + 0)*-1)**2.\nAnswer: 28*sqrt(2) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5207602*s**3 + 3 + 2 - 5207576*s**3 - 5.\nAnswer: 26*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 47 + (0\/5 + 0)\/(-1). Suppose -b = 2*u - 2*b + m, b - 1 = 0. Which is smaller: u or 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ood. Give prob of sequence odo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.09844\nAnswer: -0.29532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-4)*-1*(56 + -36). Let m = n - -73. What is the greatest common factor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, q: 4, y: 1, k: 8}. Give prob of sequence key.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 1061?\nAnswer: 74.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 230 and 1196?\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-153)*(-10234)\/1204?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 2*a**2 - 4*a - 1. What is the least common multiple of s(-3) and -6 + 4024\/144 - (-2)\/36?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-16)\/(-12)) + (35 - 4). What is the derivative of -31 - 11 + 32*u**3 - 66 + x*u**3 wrt u?\nAnswer: 198*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 24*w + 146 - 387 - 849.\nAnswer: 3*w**3 + 24*w - 1090","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 14. Solve c = -0*r + 4*r + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -421 - -455. Solve -3*c - z = -31 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1384 and 5163012?\nAnswer: 10326024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -654, 4, 116, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 11:29 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcjkjvgz. Give prob of picking 1 c, 1 g, 1 v, and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 407804849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**5\/20 + 2*o**4\/3 + 2*o**2 + 16*o. List the prime factors of i(5).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 0.5, 1, 2\/155?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - (-8 - (-6 - 0 - (-112 + 112)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3279, 6540, 9801, 13062?\nAnswer: 16323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.66 rounded to zero dps?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (0 + -30 + 71)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -169 or -1860\/11?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/5*(115\/2)\/(-23).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-2\/5)\/t*t)*(t**(2\/17)\/t)\/t*t assuming t is positive.\nAnswer: t**(-41\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -734701, -1469420, -2204145, -2938876?\nAnswer: -3673613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 12550*l**3 - 1004*l - 251. Let g(a) = 251*a**3 - 20*a - 5. Determine -251*g(c) + 5*x(c).\nAnswer: -251*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(6*s + s - s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - p. Let l(z) = 8*z**3 + 3*z**2 - 7*z - 3. Let k(j) = -40*j**3 - 16*j**2 + 36*j + 16. Let c(q) = -3*k(q) - 16*l(q). Give c(i) + 4*d(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2*x + 2*x)*(5*x**4 - 4*x**4 - 2*x**4) + 16*x**5 + 9*x**5 - 11*x**5.\nAnswer: 16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 0.05 (c) 1771.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 819, 1600, 2385, 3174?\nAnswer: 3967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) -1891 (c) 3 (d) 0.1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*p**4 + 122199*p**3 + 14604*p**2 - 3?\nAnswer: 480*p + 733194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132700 divided by 2?\nAnswer: 66350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20545 - 19677. What is the remainder when i is divided by 147?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/36 and -81\/7180.\nAnswer: 64620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.784219 decades in months?\nAnswer: 454.10628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 153 times 0.0121\nAnswer: 1.8513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434669?\nAnswer: 593, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 1\/8, -1\/4, -3, 0.5, -1036?\nAnswer: -1036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100110110100000010 (base 2) in base 5?\nAnswer: -220223120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13497018.\nAnswer: 2, 3, 1153, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**3 - 10*s + 21. Let z = -295 + 297. Let t(g) be the second derivative of -g**5\/20 - g**3\/3 + 2*g**2 - 2*g. Calculate z*u(q) - 11*t(q).\nAnswer: -q**3 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -295918545 divided by 5\nAnswer: -59183709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 735, 1144, 1553, 1962?\nAnswer: 2371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 5241.66\nAnswer: 5190.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*w**3 - 4*j**3*w**2 - 6*j**3*w + 8*j**2*w**3 + 18*w**4 wrt w?\nAnswer: 12*j**3 + 48*j**2 + 432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4 = 0, 5*v = 8*v + 4*q - 1016. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 - 173. Solve 3*d = 6*d + t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away 11253173545.2902?\nAnswer: -11253173545.2702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 15*d - 13*h + 15*h, -d + 4*h - 12 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 1)*(-7)\/(-63). Sort -1\/3, a, -0.2 in decreasing order.\nAnswer: a, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205\/328 - 12\/32.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*m - 6400 = 0, 0*i - 3*i + 19148 = -m. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 27. What are the prime factors of 2805\/90 - (-1)\/s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f**2 - 4*f**2 - 4*f + 3 - 2*f**2)*(-11*f**2 - 6*f**2 + 9*f**2).\nAnswer: -16*f**4 + 32*f**3 - 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 + 1 = 0. Suppose f*b + b - 25 = 0. Suppose -5*c = 5*p - 20, -2*c - 2 = 3*p - 6*p. Sort p, -1, b.\nAnswer: -1, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139093?\nAnswer: 367, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5067408 smaller than 65876285\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o**3 + 4*o**2 - 4*o + 2. Let y(q) = 7*q**3 - 5*q**2 + 5*q - 3. Suppose 0 = -8*c - 7*c - 75. Give c*p(b) - 4*y(b).\nAnswer: 2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**5 + 273*q**4 - 450*q**2 - 1494598*q.\nAnswer: -40*q**3 + 3276*q**2 - 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-1 - -6)\/(-5). What is the highest common factor of t and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*v + 65, -4*v - 197 = -0*n - 3*n. List the prime factors of n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 2, c: 2, x: 4, h: 3, d: 3}. Give prob of picking 2 c and 1 s.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.1, 0.4, 81\/8, -3, 6302?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 8*q**2 + 14*q - 20. Let m be h(8). Calculate the greatest common factor of m and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, m: 5, s: 2}. Give prob of picking 1 s and 1 m.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 0.0202592.\nAnswer: -0.4797408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, -514, -2325, -6002, -12169, -21450, -34469?\nAnswer: -51850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -38. What is the third smallest value in -0.5, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29\/8594 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j**5*x**3 + 17*j**4*x**3 - j*x - 25*x**3 wrt j.\nAnswer: -100*j**3*x**3 + 204*j**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00629941918 to 7 decimal places.\nAnswer: 0.0062994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = -3*q - 48 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1969 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1331) + -2 - ((sqrt(1331) - -2*sqrt(1331)) + -3))**2.\nAnswer: 44*sqrt(11) + 5325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 293846876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4715 and 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2325 is divided by 60\/(-8 + 2)*(-19 - -18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 - 8*k + 3*k**3 - 3*k - k**3 to w + y*k + u*k**2 + r*k**3 and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*b = 43*b + 1212615. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1475544852.\nAnswer: 2, 3, 17, 23, 104827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/16)*q\/((q\/q**2)\/q))\/(q**2\/(q**(-4\/7)\/q)) assuming q is positive.\nAnswer: q**(-57\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -46230*c**2. Let s(d) = -6*d. Determine l(s(b)).\nAnswer: -1664280*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 3*m - 1. Let x(n) = 6*n + 94. Suppose -19*y = -26*y - 112. Let d be x(y). What is k(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 25*h + 30.\nAnswer: -5*(h - 1)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 110001 (base 2) to base 16\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, d: 2, e: 1, p: 5, y: 2, a: 2}. Give prob of picking 1 z and 1 p.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23592 and 6600?\nAnswer: 6487800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - 22. What is the hundreds digit of g\/3*-167*(-12)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 119029 and -11.4?\nAnswer: -1356930.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 125*a + 1029 - 2154 = 0 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9 = 0, 5*m = n + 250 + 148. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 + 74*u**2 + 628*u\/3 - 720.\nAnswer: 2*(u - 2)*(u + 5)*(u + 108)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35.2 + 37.2. What is the closest to 0 in a, 2\/11, -6.5, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1699 divided by 4\nAnswer: 1699\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 882*y**2 - 3609*y**2 - 2278*y**2.\nAnswer: -5005*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49, 200, 449, 796, 1241?\n\"Answer: 49*v**2 + 4*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*s - 79*s. Solve s = 5*v - a + 21, 0*a = 4*a - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-1 + -1 + -2). Let r(i) = -i**3 - 7*i**2 + 16*i - 19. Let k be r(-9). Sort k, n, 4 in descending order.\nAnswer: 4, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**4\/8 + 309*r**3\/4 - 92341*r**2\/8 - 242565*r\/2 - 616225\/2 = 0.\nAnswer: -5, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1287 + 1293. Let v = 2202 - 1524. Calculate the greatest common divisor of v and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*a**3*f - 13*a**3 + a*f - 3*a wrt f?\nAnswer: 26*a**3 + a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from goaaxg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2999 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**4\/n))**9*(n\/n**(-2\/5))**50)**(-49) assuming n is positive.\nAnswer: n**(-2548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, c: 2}. What is prob of picking 2 c and 1 y?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = a + 2*a + 30, 12 = -2*p + 3*a. Suppose 0 = -4*i + 2*h - 32, 3*i + 5*h = 7*i + 38. Is p smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/167, 0.341, -2?\nAnswer: 0.341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from {e: 15, s: 3}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(72) + -5 + sqrt(72)*-3 + sqrt(72))*2)**2.\nAnswer: 312*sqrt(2) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o + 20. Let g be w(9). Let b(n) = 17*n**2 - 27*n**g + 7*n**2. Let h(f) = -4*f - 3. Give b(h(q)).\nAnswer: -48*q**2 - 72*q - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 52*g**2 - 1874*g + 89. Determine v(36).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -872\/11 + 22325\/264. What is the common denominator of m and 103\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 - -121 - (1 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from josojtjjsjbovstvoj. What is prob of sequence tv?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4140 divided by -180\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 73 + 55. Let b = 6 - 30. Let l = 35 + b. Calculate the remainder when y is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1281 and -26\/183.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = -4*q, -3*q - 12 = -2*q + 4*m. Suppose -w + q*w - 9 = 0. Solve 0 = 2*d + w - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 360 + -173. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 - 156*y**3 - 412169*y + 412169*y.\nAnswer: -156*y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 1\/17, 4.\nAnswer: -2, 1\/17, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyjgcycgcjjtjcc. Give prob of sequence tgyg.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 49\/(-322)*(-24)\/14. Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/12*4\/6. Let h be (-4)\/3 - (-2)\/(-3). Let p be (h\/(-6))\/(1\/3). What is the greatest common divisor of g and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**5 - 135*q**4 - 689895*q**3 - 5509465*q**2 - 4819710*q = 0. Calculate q.\nAnswer: -354, -7, -1, 0, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-6)\/(-96)*(-34 - -28)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {f: 3, j: 4, x: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47802 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*f + 2415 + 2889 - 628 = 0 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*l**3*z + 7*l**3 - 3*l**2*z**4 - 4*l**2 wrt z?\nAnswer: -5*l**3 - 12*l**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - (26 - 33)) + 47?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3892*h = 2203*h + 2820*h + 5670*h - 1939805 for h.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14335 divided by -6141\nAnswer: -14335\/6141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076490 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -1\/6*b**3 + 0 - 10*b**2 - 1\/24*b**4 + 0*b. Let l(a) = -a**2 - 3*a - 5. Calculate -l(o) + 5*q(o).\nAnswer: o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 5, -4 in increasing order.\nAnswer: -48, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11210111030 - -10300?\nAnswer: -11210100130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529271.\nAnswer: 529271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - 12) + 11 + 8 + -4 + -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24 - (2 - -2 - 8). What is the highest common divisor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 10 = 4*k, 5*h = -5*k + 165. Calculate the remainder when h is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1654*c - 1661*c + 13*c**2 + 4 - 4. Suppose -4*j + 3*j + 7 = 4*w, -5 = -5*w - 5*j. Let y(a) = -3*a + 10*a**w - a**2 - 2*a. Calculate -5*q(h) + 7*y(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71.5 + -80. Let n = t - -4.5. Let p be -2 - (-2 - 4\/(-14)). Which is the third smallest value? (a) p (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*u = 6*u, 0 = -3*u. Suppose p = -3*t - 108 + 483. Suppose -3*c + t = 2*c. Calculate the remainder when c is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1804110 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 49. Suppose 3*a + 5*b = -c + 399, a = -4*b + 119. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 3794 = -2082. Suppose -6 = -p*k + 446*k. Solve -j + k = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 21*g - 3 = 0. Sort g, -14, 2 in descending order.\nAnswer: 2, g, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39104754 less than or equal to -39104750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-259)\/(-35)*(-1035)\/(-23). What is the greatest common factor of y and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 12230*h - 24456*h + 9*h**2 + 12386*h in the form w + g*h**2 + z*h and give z.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve -18704*v = 4*h - 18703*v + 16, h - 2*v + 4 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12*f + 55. Give v(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, -2\/27, 5?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4 - 270*i**3 + 1113*i**2 - 1404*i + 564 = 0. Calculate i.\nAnswer: -94, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17218682?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-1 + (2 - 3)). Let x be (-1 - (1 - j))\/1. Suppose 4*r + 4*u - 3*u - 8401 = x, 4*r - 3*u - 8397 = 0. Round r to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -45, 10485 in increasing order.\nAnswer: -45, -5, 10485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*a = 42, -93 = 5*g - 4*a + 54. Put g, -5, -1 in ascending order.\nAnswer: g, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + sqrt(1573) + sqrt(39)\/sqrt(3)*-2 + 4)**2.\nAnswer: 108*sqrt(13) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*g = 33, 8*g - 25 = -3*z + 3*g. Suppose w = z*w. Let k(o) = -o**2 + 3. Give k(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 at most as big as -1025\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2656*x - 682570. Calculate u(-257).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/24)\/(2\/8). Let z(x) = x**3 + x**2 + 4. Let y be z(-2). Suppose y = -3*d + u - 4, -3*d + 3*u = -7*d + 12. Solve d = -w + b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22430, -89789, -202070, -359285, -561446, -808565, -1100654?\nAnswer: -1437725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*x = 0. Let w(n) be the first derivative of 1\/6*n**6 + 1\/4*n**4 + x*n**2 - 1 + 0*n**3 + 2\/5*n**5 + 0*n. Determine u so that w(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171819.\nAnswer: 3, 17, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -11 + r + 1\/12*r**4 - 28\/3*r**3 + 392*r**2. Factor x(a).\nAnswer: (a - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -13459706*f + 34016. Let n(o) = -3957*o + 10. Let i(v) = -5*m(v) + 17008*n(v). Let h(k) = -6*k. Give i(h(r)).\nAnswer: 12756*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (-4 + 2) - 3) + (1355 - 1353).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00073 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -147*v + 156 - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1697522661 to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**2 + 20800*k + 19209920 = 0.\nAnswer: -2776, -1384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 39. Let q = 505\/2 - 253. Sort f, 5, q, 0.5 in increasing order.\nAnswer: q, 0.5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - r - 5*r)*(-3 + 1 - 1) + r - 6*r + 8*r to g*r + t and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -70854276 divided by 17713569?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 98*y + 945. Calculate n(-9).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*2*sqrt(126))\/(-4*(sqrt(200) + sqrt(200)*-1 + sqrt(200))).\nAnswer: -4 - 9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -21. Is a\/3 - (-16 + -281) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*c - 31*c. Let z(h) be the first derivative of 1\/12*h**3 + c*h - 45 + 3\/4*h**2. What is s in z(s) = 0?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6033617 is divided by 201?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19412640 divided by 13481\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let y(c) = -34924*c. Determine y(h(k)).\nAnswer: -34924*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.04191 milliseconds to microseconds.\nAnswer: 6041.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 0.031.\nAnswer: 0.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2 - 0. Suppose -v - f + 6 = 0, p*v - f + 4 = f. Solve 0 = 5*u + 2*g, -g = v*u + g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 2*u**2 + 2*u + 11. Calculate f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 f, 1 g, and 1 z when four letters picked without replacement from zzzgfgzsszlszglgmz?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 31*j**2 + 30*j - 26. Is 28 a factor of y(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32 from -14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 9:45 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36882621 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eese when four letters picked without replacement from sseeeosss?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 40 + 56. Let a(t) = -t**2 - 13*t + 16. Let u = -38 - -25. What is the lowest common multiple of y and a(u)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 342409.7um?\nAnswer: 0.3424097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -6. Let t be y\/(-9) + 644\/63. List the prime factors of ((-5)\/t)\/(1\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyt when four letters picked without replacement from yyyt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 0*f**2 + 2*f**2)*(-4 + 3 + 3) + (2*f - 9*f + 14*f)*(2*f - 3*f - 4*f).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119749\/10644 + -1\/2661. Calculate the common denominator of -20\/7 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 384, 1004, 1866, 2970, 4316, 5904, 7734?\n\"Answer: 121*h**2 + 257*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.1 (c) -20 (d) 92 (e) -3 (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(162).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 28 = 2*f, 0 = 134980*c - 134985*c - f + 35 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 14*h**2 + 0*h + 0 - 2\/3*h**3 + 1\/6*h**4. Let a be 2\/(-3*4\/(-18)). Calculate b(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 5*s + 7, -2*s - 6 = s. Let t = 5 - x. Calculate the greatest common factor of t and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-6) + 12\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 153 = -0*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b**2 + 2*b + 9. Let n(f) = -6*f**2 + f + 4. What is 3*j(u) - 7*n(u)?\nAnswer: 3*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -83?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d + 7 = 0. Suppose -m - d*m = -3176. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((3 - 7) + 20 + -21 + 6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -3. Let k(f) = -15*f + 5 - f**2 + 3*f - x*f + 38*f. What is the tens digit of k(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.126603 milligrams?\nAnswer: 1126603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1872 - 0.1972. What is the third biggest value in 4, 2\/23, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 55*g + 158. Let w be r(19). Let t = -630 + w. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -356.999789 + 357. What is a rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -356, -360, -366, -374, -384, -396, -410?\n\"Answer: -i**2 - i - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 4. Give k(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*q + q. Let u(o) = -2*o + 1. What are the prime factors of u(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9724140337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 19*z**2 + 696*z + 1949. Calculate o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 3 + 0)**2*1 - (sqrt(3) + (((1*sqrt(21))\/sqrt(7))**2 - sqrt(3)) - -2*sqrt(9)\/sqrt(3)).\nAnswer: 4*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2 - 3*(-6 - -3). Suppose d*o + 12 = 12*o. Suppose -2*w = -o*w - w. Solve 2*s = -5*t - w - 1, 4*s - 10 = 2*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7446 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.108 - 0.592. Which is the second smallest value? (a) -2\/19 (b) f (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2416\/(-1812)*3\/(-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-14)*7 - 63*-1. What is the highest common divisor of 96 and u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/19 (b) 0 (c) 3 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzu when three letters picked without replacement from {z: 2, u: 4, v: 5}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 621273 = 348143. Let z = -1097646 + y. What is z rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(((u*u**(-9))\/u)\/u)))\/(u\/((u*u\/u**(-4))\/u))*(u**(1\/3)*u*u)\/u**(-2\/27) assuming u is positive.\nAnswer: u**(-97\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 4. Let j be (-136)\/(-24) - (-4)\/f. Suppose -2*p = -d + 5, -j = -d - p - 0. Solve 30 = -d*c + 5*u, -2 + 4 = -c - 3*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -4 - (4 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfdfffppfpzfz. What is prob of picking 2 f and 1 p?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 6*g**5 - g**4\/4 + 1354*g**3\/3 - 660. What is the third derivative of v(z) wrt z?\nAnswer: 720*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/28, 525, -2, 175, 0.\nAnswer: -2, -1\/28, 0, 175, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 e when three letters picked without replacement from teektbt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2)\/u*u**(-3\/10))**(5\/6)*((u**(3\/4))**6)**(5\/6) assuming u is positive.\nAnswer: u**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125400485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 2*o**2 + o - 4. Let c be x(-5). Let s = c + 215. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - 4 + 4)*(25*y**2 + 47*y**2 + 62*y**2).\nAnswer: -134*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/12)*c*c*c*c**(-1\/23)*c)\/(((c*c*c\/(c**(7\/6)*c))\/c*c)\/(c\/c**5*c)))**43 assuming c is positive.\nAnswer: c**(817\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 2361 = 219. What is the greatest common factor of s and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + -4 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:10 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-19 - -1) + 17 + (-84 - -77).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/329*-2*(-46389)\/84.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 432 + 447. Let s(a) be the second derivative of 1\/14*a**d - 1\/84*a**4 - 1\/7*a**2 + 0 - a. Let s(l) = 0. What is l?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4914)\/1092 - 17\/(-2). Let r = -133 + 201. What is the highest common divisor of s and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*b**2 - 72*b*h - 3286*h wrt b?\nAnswer: 24*b - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100251*p**3*t**3 + 29*p**2*t**2 - 3*p*t**2 + t**3 + 118 wrt p.\nAnswer: -601506*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2. Suppose n = -2 + 5. Let a(s) = -15*s**2. Let z(q) = q**2. Let t(j) = n*a(j) + 30*z(j). Give g(t(h)).\nAnswer: -450*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 - 79.7184. Let s = q + -0.2810761. What is s rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 40*g**2 + 28*g + 15. Let r be p(21). Is -279 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1500334438.\nAnswer: 2, 750167219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 16*j**3 - 9*j**2 - 22*j - 20. Is q(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l + 3. Let x be n(1). Let p = 275 - x. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.7 - 7. Let n = s - -0.5. Let v = 19425 + -19426. Which is the closest to 0.1? (a) -2\/7 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from xuxuxxux.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 173.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 7454 + 18954. Let o = m - 2179. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ivvjicv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 2293221.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001542 rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*30\/(-1280)*4\/1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -23*n + 18*n + 26, 4*n - 16 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 + 2 = 0. Suppose 2*o = -2*o - 2*g - 2, y*g = -2*o + 4. Let f be o - (6 - (3 + 1)). Let l(w) = -4*w - 7. What is l(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 3) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-558 + 556)\/(1\/(-56)). Calculate the highest common divisor of t and 6144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 38*x - 22. Let o be f(3). Let i be 0\/5 + -2 + (139 - -1). What is the highest common factor of i and o?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23103301 (base 4) to base 7\nAnswer: 252022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*d - 257*d + 3 + 120*d + 68*d.\nAnswer: -384*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10231 + -10230.49671. Round l to three decimal places.\nAnswer: 0.503","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 + 32.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2639, 2628, 2595, 2528, 2415, 2244?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*n - 7684 = -5271 + 9431 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255 and 2720.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131874 is divided by 26374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4)*r\/r**(-1)*(r\/((r*(r\/(((r*r\/(r\/(r**(-2\/3)\/r)))\/r)\/r))\/r)\/r))**(-1\/11))\/(r**(-3\/2)*r**4)**32 assuming r is positive.\nAnswer: r**(-2701\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/((r\/((r**(-7)\/r)\/r*r))\/r))\/(r**(2\/13)\/r*((r*(r\/(r**(1\/7)\/r))\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(-274\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1474549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c. Let x be j(-3). Which is greater: x or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 8*z - 5. Let g be h(9). Suppose 77 = -5*x + 4*c + 1427, -x + 2*c + 264 = 0. Let a = -270 + x. Solve -g = 2*f + a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q + 7. Let a = 0 - -5. Let g(x) = -4*x + 5. Suppose -w - 3 - 4 = 0. Let z(p) = a*i(p) + w*g(p). Let u(c) = 2*c**2. Determine z(u(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 176087085?\nAnswer: -176087083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2915\/12 + -243. Sort -3\/7, j, 0.3, -0.3 in descending order.\nAnswer: 0.3, j, -0.3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0148331 - -136?\nAnswer: 136.0148331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*i - 320 - 582, -3*d + 2651 = i. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + y - 200, 282*h - 281*h + y - 59 = 0. Suppose f = -4*a - 18, 5*f - 4*f + 3 = -a. What is the remainder when h is divided by 1 + (-2)\/(f\/(-15))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/8, 10, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1010 by -101.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0, 3, 1.2, -5, 20.\nAnswer: -5, -0.4, 0, 1.2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 4*p - 4*p - 4)*(-18 + 2 - 14) as j + t*p and give t.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*t - 52 = 0, -2*t = o + 2*t - 16. Let k be (8\/(-4))\/((-8)\/o). Suppose -1 = -4*c + k. Do -3\/14 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -825*v + 9905. Give f(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211724, 846647, 1904770, 3386087, 5290592, 7618279, 10369142, 13543175?\nAnswer: 17140372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 162*l + 14567. Give v(-90).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.81 + -3.8100354. Round a to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*g - 639 = -g, 3*l - 5*g = 471. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*d = 2*d + 14, 3*b + 2*d + 4 = 0. Suppose -1 = -b*f + s, 9*f = 7*f + 4*s - 14. List the prime factors of -4 + 188 + 0 + f.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - 5 - 2987*m - 13 - 3*m**3 - m**4 + 16 + 8368*m to w*m**3 + k*m**4 + n + t*m + x*m**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 5*f + 13, 3*h + 5*f = -29 + 66 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 - x**2 - x**2)*((-1 + 0 - 2)*(0 + 1 - 3) - 1 + 3 - 4) + 21979*x - 82*x**2 - 21979*x + (-3*x - 2*x + 3*x)*(3 - 3 + 2*x).\nAnswer: -78*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 + ((-1)\/(-2) + 189\/(-18))\/(-3)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-80)*22*(-264)\/330.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -1. Let h(p) = 14*p + 1. Determine d(q) + h(q).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (72\/(-8) - -821) + -1 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -41*z**2 + 46*z**2 + 6 + 8*z**3 + 1 - 5*z. Let d(c) = -c**3 - c**2 + c - 1. Give 5*d(n) + k(n).\nAnswer: 3*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 620, 626, 612, 554, 428, 210, -124?\n\"Answer: -4*d**3 + 14*d**2 - 8*d + 618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -4 + 7 - 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 76*j**3 - 81*j**3 - 2 + 153*j**3 - 12.\nAnswer: -4*j**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 177318420 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -o, 2*o + 0 = -4*s - 4. Suppose -2*q - 2*q + 416 = s. Suppose 0 = -2*j - y + 84, 3*j - 6*y + 2*y = q. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61884 + 5272 = -4281*x - 6199*x - 6204 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-18) + (-1)\/(-3). Let v = 17.9 + -19. Let r = v + 0.7. Which is the closest to -1? (a) -4 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*b + 38 = 0, -44 = 9*w - 4*b - 142. Suppose 0 = -0*x - x. Let x + 1\/6*t + 5\/6*t**3 - t**w = 0. Calculate t.\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20\/3 - -6. What is the nearest to n in -10, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 7 = 9. Suppose -r + q*r = -12. Let g = 129 + -397\/3. Do r and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 0 + (-2 - -2) - -60 and (((-1440)\/200)\/4)\/((-2)\/50)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = h + 2, 0 = 4*w - 8. Let g be 8\/h - (-6)\/(-9). Find the second derivative of -s**3 + 3*s**3 + 0*s - g*s wrt s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2. Let v(c) = -3*c - 1162. What is v(o(x))?\nAnswer: 9*x**2 - 1162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**7\/840 - r**6\/40 + r**5\/12 + 5*r**4\/12 - 53*r**3\/2 + 75*r**2. Let c(z) be the first derivative of i(z). Calculate c(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 193*t - 166*t - 297 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31728? (a) -0.5 (b) 7 (c) 3 (d) -43\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-16)\/(-160))\/((-24)\/45).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.189312 hours to nanoseconds.\nAnswer: 15081523200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 30 - 5. Let d be -6*1*k\/15. Determine s so that -4*s + 14*s**3 - 10*s**5 + s**d - 4*s**4 + 5*s**2 - 2*s**4 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-9)\/5 - (2 + -5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 1. Suppose -2*k - 3 = -f, 2*f + j*k - k + 10 = 0. Let n be 1 + (-2 - f) - -4. Solve -2*b + n = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywwbgbqbydgbyy. Give prob of sequence wb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176) + -2*sqrt(176) + sqrt(176))*1 - (sqrt(176) + -4 + sqrt(176)*2)) + -4*(1 + 2 + sqrt(176) + sqrt(176)) + 4)**2 + 2.\nAnswer: 352*sqrt(11) + 21314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4f8556 (base 16) to base 4.\nAnswer: -103320111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 3 + -2)*5. Suppose 0 = 5*l - 20, -3*l + 8 + 1 = -r. Let t(u) = -u - 7. Let a be t(-6). Put s, a, r in descending order.\nAnswer: s, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/(-49) + (-28)\/(-6) and 4\/5.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 3*w**2 - 10*w - 10. Let d be j(-4). What is the highest common factor of d and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from namzece. What is prob of sequence za?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121\/10 - 21\/2. Factor 2\/5*b**2 - u*b + 8\/5.\nAnswer: 2*(b - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**14)**(-2\/111) assuming i is positive.\nAnswer: i**(-28\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21113031130 (base 4) in base 3?\nAnswer: 11121200202101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -123, -9, 25, 2, -3, -1 in increasing order.\nAnswer: -123, -9, -3, -1, 1, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s + 26 - 891 - 1176 - 6 = 0 for s.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1946, -1968, -2004, -2054?\n\"Answer: -7*a**2 - a - 1938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42455981*n**3*o + 10*n**2*o - 5*n*o + 37*n + o - 3942 wrt n.\nAnswer: -254735886*n*o + 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 31 = 5*l, m - 2*l - 42 = -m. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17 + -27 + 329 - -1. Solve 300*b = t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.19 (b) 6 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26340757\/61212036 + 2\/250869. Is t at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -4303?\nAnswer: 4262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0.2. Let f be (-8)\/(-6)*(-10)\/(-140)*7. Put f, -3, z, 0.1 in increasing order.\nAnswer: -3, z, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 8 = -3*p. Let h be (3 + -3)\/(-3) - p. What is the units digit of -2*((-17)\/h + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 18 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/((-2)\/(40\/80*2\/((-3)\/3))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 224172870 to the nearest one hundred thousand.\nAnswer: 224200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 1. Let y(m) = -m**3 + 2*m**2 - 2*m + 5. Let i be y(2). Let v(b) = -4*b + 3. Let c(x) = i*v(x) + 3*n(x). Let p(k) = 4*k. Give p(c(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsu when three letters picked without replacement from {s: 2, u: 7, f: 2, v: 8}?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 5*p**2 - 3*p - 3. Let r(m) = m**2 - 3*m - 6. Let w be r(5). Let h be i(w). What is the highest common factor of 7 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16861 * -4.\nAnswer: 0.67444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*k - 147 + 265. Solve g = -k*u - 121 + 124, 5*g - 5 = -5*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 70*w - 66150 = 0. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -861, -5.\nAnswer: -861, -8, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*r + 5 = 0, -5*n + 5*r = -55 + 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - (3 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5363 is divided by 896.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76.58457 - -58.584. Let i = 18 + d. Round i to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 219\/584 - 23\/104.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -26 (c) 3 (d) 0.5 (e) 1.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/88 and 83\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (1 + 99\/2))\/(7\/(-84)). What is the greatest common factor of m and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 43, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 + 66. Suppose x = -j + 12, -32 = -0*j - j - 5*x. What is the least common multiple of j and r\/14 - (-6)\/(-21)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*t - 25*t = -18. Let v = t + 13. Solve -q - 3 = -3*q + 5*m, -2*q - v = 2*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x - x - 9*x - 3. Does 25 divide k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1\/20144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(2\/19)*d**8 assuming d is positive.\nAnswer: d**(173\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 + 29 + -17 + -3 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 21 = 3*t - 149, 0 = 3*t - 2*g + 5 + 42 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350\/240 - 12\/(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4115*y. Let j(o) = 386*o**2. Determine n(j(h)).\nAnswer: -1588390*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27214301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1787307 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 472*k + 472*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-2)*(-65)\/(9620\/(-111)). Put -1, -2, k in descending order.\nAnswer: -1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151 + 345. Calculate the highest common divisor of 32 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-36))\/(4\/6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*t - 25. Suppose -3 = -s - x, 2*x = -3*s - 0*x + 10. Solve -s = t*z + 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -615, -1229, -1841, -2451?\nAnswer: -3059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -291 - -657. Let a = 255 - m. Let r = 187 + a. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 8*d - 36 = 0. Suppose -15*n**2 + 3*n**5 + 11*n**3 - 12*n + 3*n**2 + d*n**4 - 2*n**3 - 6*n**4 = 0. What is n?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*m - 24 = 0, 0 = 3*m - 3 - 6. Solve k*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (1\/(-1) - -1). Let j(i) = 3*i - 8. Let y(c) = 1. Suppose -k + 5*k - 25 = 5*l, 3*k - 12 = -3*l. Let b(d) = l*j(d) - 3*y(d). Calculate b(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u - 102. Let l be s(-17). Solve l = 13*d - 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*i + 279, 4*m - 2*i - 372 = i. Let r = 207 - m. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4041897 divided by -3\nAnswer: 1347299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t = -29*t + 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/212862 and 23\/234.\nAnswer: 638586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -148433 + -1?\nAnswer: -148434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 26*b**2 + 8*b - 49. Is u(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11938 by 1102.\nAnswer: -5969\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let d(f) = -f**3 - 5*f**2 + 13*f + 1. Let b(o) = d(o) + 5*r(o). Let w = -55 - -65. Suppose 4 = l + w. Give b(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25866 - 25854. What is the lowest common multiple of s and 4185?\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-8))\/(-3)*(-2 + 4). Let b(s) = -s**3 + s - 1. Let u(z) = -5*z**3 + 4*z - 8. Give o*u(v) + 6*b(v).\nAnswer: -v**3 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*l + 10133, 5*l - 2143 - 1229 = -a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 9b674?\nAnswer: 9b672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*f + 3*n, 110*f - 3 = 109*f - n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19, 2.98, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 7*l. Let t = 16613 - 16617. Let z(b) = b**2 + 2*b - 4. Let f be z(-5). Let s(i) = -3*i**2 - 20*i. Calculate f*p(u) + t*s(u).\nAnswer: u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3*m = -27, -350*t + 16 = -347*t - 5*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66444 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 - 5*h**2 + 4*h + 5. What is the units digit of q(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 182. Let c(w) = -w**2 - 10*w + 4. What is the lowest common multiple of x and c(-8)?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + r = 73 - 2089, -2*r = -3*v + 1517. Does 26 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o. Let l(t) = 59*t**2. What is l(p(f))?\nAnswer: 531*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2523 and 6873.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j**2 - 1. Let r(k) = 9*k**3 + 2*k**2 - 2. Let f be 2\/(-7) - ((-325)\/35 - -11). Give f*b(v) + r(v).\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/85853 or 0?\nAnswer: -1\/85853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*o - 78, -4*c - 3*o + 154 = 51. Calculate the smallest common multiple of 12 and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -155 in 0.3, 1, -0.05, 6?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 120402096*s - 1 - 120402074*s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 2*w - 3. Let t(v) = v**2 - v - 2. Let l(k) = -6*t(k) + 5*z(k). Let p be l(-3). Solve 2*c - 2 + 9 = 3*x, -2*c - 4 = p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*(4 + -5 + sqrt(49)\/sqrt(7) - sqrt(28)\/((sqrt(36)\/sqrt(9) + sqrt(4))*2)))**2.\nAnswer: -75*sqrt(7)\/2 + 1975\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1243 and 3616?\nAnswer: 39776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542748?\nAnswer: 2, 3, 31, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/600, -49, -5\/978 in descending order.\nAnswer: 1\/600, -5\/978, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, k: 14}. Give prob of picking 1 b and 1 k.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x + 4. Let r be k(-3). Let q be 2 - (-51 + 2 + -4). Calculate the greatest common divisor of q and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n**3 - 8*n**3 + 18*n**3.\nAnswer: 43*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 122 + 843?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51\/10 - 462\/5. Let j = i - -98. Factor -j*z**2 + 0 - z + 1\/2*z**3.\nAnswer: z*(z - 2)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntootoonononoo. Give prob of sequence on.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858.2376 weeks to milliseconds.\nAnswer: 519062100480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 6709896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573381049.\nAnswer: 17, 43, 784379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -142.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 317, 422, 631, 980, 1505, 2242?\nAnswer: 3227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**3 - 24*z**2 + 106*z - 261. What is o(3)?\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 101200201011 (base 3) to base 5\nAnswer: 23213334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -6 - -14 - 87.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 32*n - 67*n + 38*n = -53, -n - 38 = 21*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0, -0.3, -3.1, 1000 in ascending order.\nAnswer: -3.1, -0.3, 0, 42, 1000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 17 = -11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13692a9 - 2?\nAnswer: -13692ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/9 + 218*i**2\/9 - 3188*i\/9 + 1840\/3 = 0. Calculate i.\nAnswer: 2, 15, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**2 - 4*d**6 + 3*d**2 + 5*d**6 wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.4 + -11.3. Let u = -7.85725 + -0.04275. Let x = u - i. Is x != -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34233576 and 64636?\nAnswer: 376569336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/(-9*(-40)\/270)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196131 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4 - 105\/20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 2. Let u be y(3). Let z be -3*(1\/3 + -1). Suppose z*d - u = 1. Solve -n + 25 = d*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 + 4*p + 3. Let q(v) = -v**2 - v - 1. Calculate f(w) + 2*q(w).\nAnswer: 2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z**3 + 38*z**3 - 9*z**3 + (-7*z + 4*z - 4*z)*(2*z + 2*z**2 - 2*z + (-1 + 2 + 2)*(z + 2*z**2 - z)) to the form p + y*z + h*z**2 + o*z**3 and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - x - 2*x + 5*x.\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191, 312, 433?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 4*j**2 + 8 + 4*j - 7. Let x(q) = -5*q**2 - 3*q - 2. Determine 3*d(n) + 2*x(n).\nAnswer: 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -666048*w**4 + 1166585*w**2?\nAnswer: -15985152*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42912*m**4*u**3 + m**3*u**3 + 38*m*u**3 - 656*m*u wrt m.\nAnswer: 514944*m**2*u**3 + 6*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.848 + -0.152. What is the nearest to 2\/7 in 2, -0.03, q?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/11 (b) 6 (c) 4\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:55 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -5*h**6\/6 + 8*h**3\/3 - 8. Find the third derivative of r(u) wrt u.\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 2*j. Suppose w + 1 = 3*c, c = 2*w + 6*c - 9. Solve m + 5*i = -w*m - j, 4*m - 3*i - 35 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -14*x - 3. Suppose 107*o - 112 = 103*o. What is the remainder when m(-4) is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 602 + -599. Solve 0 = a + b*j + 1 - 7, a - 2 = -j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 10*p**2 - p - 8*p + 4 - 3. Let h be x(9). Let v be 1520*(0 + h + -6251). What is v rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 2\/7 (c) -3 (d) 80 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + q - 119, 3 + 1 = -4*q. Suppose -3*m = -3, -5*f + 10 + 25 = -5*m. Let s = f - -4. Calculate the greatest common divisor of j and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -284 + 299. Let h = 142 - n. What is the remainder when h is divided by (-1 + 53)*(-3)\/(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*((sqrt(1539) + 3 + -4)**2 - (sqrt(1539) + (-3*sqrt(1539))**2 + 4 - sqrt(1539))).\nAnswer: -73893 - 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 + g**4 + 3*g**4 + (0*g**3 - 2*g**3 + 0*g**3)*(-2*g + 0*g + 0*g).\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f\/(f\/(f*f**(13\/3)\/f*f))))\/f)\/f)**(-6)\/(f**(-25))**(-1))**(-3\/7) assuming f is positive.\nAnswer: f**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106.06 + -106. Let i = -10 + 9.93. Let h = c - i. Round h to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.47751 - 0.02249. Which is the nearest to 1? (a) 4 (b) o (c) 47 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -13300*i - 39769. Give r(-3).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 - 2.5. Which is the smallest value? (a) l (b) -3\/4 (c) 35 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48562 * -1.1\nAnswer: 53418.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.35591 litres in millilitres?\nAnswer: 13355.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 o when three letters picked without replacement from totofgtydttyodt.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 5*t**2 + 5*t - 4. Let z be b(4). Suppose z*w - 33 = -3*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 90?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l + 704. Let u(c) = -3499*c + 8. Let r be u(-8). Suppose v - 5*m - 6824 = l, -3*m + r = 4*v. Round v to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmccocbcmccccom. What is prob of picking 2 m, 1 b, and 1 c?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n - 9. Let j(q) = q - 1. Let m(i) = 4*j(i) - y(i). Let o(h) = -h. Let t(g) = m(g) + 2*o(g). Differentiate t(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 366 = -k + 6*k, n + 3*k - 161 = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -134984 > -134986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 673958692 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 1 + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*q = 408 + 184 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12181750 and 1500.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228398629?\nAnswer: 228398629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.52, -4, 0.2, 1 in descending order.\nAnswer: 5.52, 1, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4845 + -4843. Solve -5*f - 6 = n - 21, j*f = 2*n + 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86491 - 159649. What is the units digit of ((-2)\/(-20)*2)\/((-124)\/d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = 26 - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 25*m. Let u(h) = -36*h**2. What is c(u(g))?\nAnswer: -900*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Let o(w) = 8*w**2 - w + 10. Let n(z) = -7*z**2 + z - 9. Let h(f) = -7*n(f) - 6*o(f). Let g be h(0). Solve -10 = -g*k + q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + sqrt(99) + -1 - (3 + sqrt(1584) + sqrt(176) + 3)**2.\nAnswer: -2853 - 189*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17045937.\nAnswer: 3, 37, 113, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 702085 or 702086?\nAnswer: 702085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 395, 478, 561, 644, 727?\nAnswer: 810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8009*g**2*s**2 + 4*g**2 + 10*g*s + 175*s**2 - 12*s + 579 wrt s.\nAnswer: -16018*g**2 + 350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6492174 and -0.2.\nAnswer: 6492173.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-828)\/48)\/23)\/((-1)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 + 1 - 1 + (3*l + 2*l - 4*l)*(2*l**2 - 2*l**2 + 5*l**2) + (1 - 1 - 2*l**2)*(-3*l + 6*l + 0*l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-13) + 2)*73060\/(-16860)?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/7, 4, 46, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 26 = -0*x + 2*x, -5*i = 2*x - 50. What is the units digit of (-40 + i)*6\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -16, 4, -3, 7.\nAnswer: -16, -3, 2, 4, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - a - y - 22078, -4*a - 44132 = -4*y. Let q = -110281\/10 - a. Calculate the common denominator of 95\/6 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let z be (-2)\/(-10) - (-4)\/5. Let r(f) = 1 - z + 26*f - 29*f. Let n(p) = 3*r(p) - 6*u(p). Let g(s) = -6*s. Calculate g(n(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*f - 3, -3*f + 5*f + 5*m = -18. Let q be 2 + -2 + f + 1. Let k = 12 + -12. Solve 0 = -2*d - q*y - 4, -5*d + k*y = -3*y + 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33777 and 927.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**3)\/(y\/(y\/(y\/y**(3\/2)))))**(-24)*(y**(-4)\/(y\/(y**(-5)*y)))\/(y**(2\/5))**(11\/4) assuming y is positive.\nAnswer: y**(259\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 1 - 3 + m - m. Suppose -2*w = -2, -5*b + 5*w - 29 = w. What is s(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 8550?\nAnswer: 8550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 + -49. Let w = s - 68. Let p(o) = -3 + o**2 - 6*o**2 + 5*o + 3*o**2. Let q(k) = 5*k**2 - 11*k + 7. Give w*q(h) - 7*p(h).\nAnswer: -h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26058, -105963, -239138, -425583, -665298?\n\"Answer: -26635*l**2 + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*z = a + 715*z + 122, -3*z = -5*a + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -29964537.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**3 + 3*y**2 - y. Let h(v) = -3*v**3 + 2*v**2 + 1. Let t(z) = -5*h(z) + 4*l(z). What is the smallest common multiple of t(-2) and 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.85205111 and -19590.\nAnswer: -19577.14794889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3235 and 162404764.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 16*t**2 + 29*t + 11. Let v be a(-14). Let z be ((-3)\/(-3))\/(v\/15). Put z, 2, 0 in increasing order.\nAnswer: z, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -9*j**4\/2 - 2*j**3 - 11*j**2 + 84. Find the second derivative of p(u) wrt u.\nAnswer: -108*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 3*b**3 + 2*b**2)*(-2 - 4*b + 4*b + b**2).\nAnswer: 3*b**5 - 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6847676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-295 + 555 + 9*z - 270)*(-2 + 3 - 2 - 2*z).\nAnswer: -18*z**2 + 11*z + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-54)*(-23 - (-69 + 20 - -17))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d - 3. Let w(t) = -t. What is b(z) + 2*w(z)?\nAnswer: 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33, 361, 873, 1575, 2473, 3573, 4881?\n\"Answer: m**3 + 86*m**2 + 63*m - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 32*h = -20*h + 19910. Calculate the remainder when 1821 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 815 - 657. Which is smaller: o or 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83 + 83 + 2073*c**2 - 2819*c**2 to i + b*c + u*c**2 and give u.\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 77*f - 82*f + 7, 4*h - 4*f - 4 = 0. Let g(l) = 12*l - 3. Let j(m) = 13*m - 4. Determine h*g(p) - 5*j(p).\nAnswer: 7*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380048 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k + 2*v = -33*k - 20, 15 = -2*k - 3*v for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**4 - 21529*b**5 - 185*b - b**4 + 21535*b**5 - 27*b wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - -2) + 2759\/(-465))\/((-16)\/10)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20225.\nAnswer: 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.19 and -5.0175.\nAnswer: 10.988325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 63076328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 350 - 351. Put -2, a, 27 in decreasing order.\nAnswer: 27, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1935 and 62\/27.\nAnswer: 5805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 + 22*n + 46. Suppose 634*t + 54 = 640*t. Let z be q(t). What is the closest to 6\/5 in z, 0.5, 5, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 1\/11, 3\/8 in ascending order.\nAnswer: -39, 1\/11, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.058 + -0.012. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27481, 55250, 83019?\nAnswer: 110788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19488 and 924?\nAnswer: 214368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02837 or 1?\nAnswer: -0.02837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -115\/198, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 - -1.8. Sort k, -3, -0.5 in ascending order.\nAnswer: -3, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + s**3 - s**3 + (-4 + 3 + 0)*(-2*s**3 + 7*s**3 + 8*s**3) + s**3 - s**3 - s**3 - 2*s**3 + s**3 + 4*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (86 + -82 - (6 - -1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464728880?\nAnswer: 2, 5, 7, 11, 37, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + d = -d + 2, 2*d - 2 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(76))**2*5 + sqrt(76) + 1 + -3.\nAnswer: -18*sqrt(19) + 378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**4\/24 - w**2 - w. Let v(u) = -21*u**2 + 2. Determine q(v(k)).\nAnswer: 21*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 18 = 2*y, w - 6*y = 3717 - 3674 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 40203 (c) 2\/7 (d) 100\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 2*y + 7. Let p be q(-3). Suppose -p*u = -u + 12. Suppose 9 = -2*x - x. Sort 0, u, x in decreasing order.\nAnswer: 0, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3928, 3929, 3930, 3931?\nAnswer: 3932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - 2\/6*8*-3 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millimeter in micrometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z + 93. Let y be x(18). Solve -4*w = w - b + 3, y*w + 4*b + 11 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42264)\/(-3195) + -14 - 20\/(-25)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-21) - (-8085)\/39102.\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 + -122.058. Which is the fourth smallest value? (a) 1 (b) 3 (c) -4 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1006213 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Suppose 3*k - 2 = d*k. Suppose 3*m + f - 11 = 6*m, -k*m + 3*f + 2 = 0. Sort m, 0, -4 in increasing order.\nAnswer: m, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-1)\/(-1)*1. Suppose q*l = 109 - 673. Let i = 274 + l. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a = -40*a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 106246098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 168444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 93 (b) -9 (c) 1\/15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2\/3 + 2184*m - 38880.\nAnswer: -4*(m - 1620)*(m - 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 43.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-168)\/32)\/(((-6)\/80)\/3). Suppose -x = -2*j + 4*h + 536, 5*j + 2*h - 1853 = 0. What are the prime factors of j?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*c + 1753 + 768 = 183 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/80*4*(-8)\/(-12).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200765 + 859433. Suppose -15430164 = -12*d + 849852. Let y = t - d. Round y to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**2. Let w(g) = -13*g**2 + 8*g**2 + 4*g**2. Give w(n(p)).\nAnswer: -25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21152 + -21151.84. Is d > -752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -11, -2, 36, 0 in descending order.\nAnswer: 36, 5, 1, 0, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 e, and 1 v when three letters picked without replacement from tqyqvttet?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/974 or -2?\nAnswer: -1\/974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.9 (b) -0.8 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -1\/54*j**4 + 1\/135*j**6 + 0*j**3 + 1\/189*j**7 - 1\/90*j**5 + 0 + 0*j**2 + 6*j. Solve o(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*l**3 - 3*l**2 + 1\/2*l**4 + 14*l - 12 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*j - 100*j = 23*j + 88*j - 7525 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/27))**45)**(-20\/11) assuming x is positive.\nAnswer: x**(200\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*l - 20. Calculate the remainder when 24 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1809285*m + 12. What is s(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o + 4. Let q be k(-3). Let h be (-2 - q\/(-4))*-2. Let j be (h\/5)\/((-18)\/(-30)). Are 3 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (105\/9)\/(-7)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -1122002122222102?\nAnswer: -1122002122222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by 19467839.\nAnswer: -26\/19467839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 881 * -0.3\nAnswer: -264.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 11 + -23 - -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40062240*x**2 - 11591*x + 646 wrt x?\nAnswer: -80124480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 3f?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (9 - -6) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 2*n**2 + n + 3. Let c(p) = -p**3 + 2*p**2 + p + 2. Let w be (-1)\/(1*(-2)\/4). Let q(s) = w*h(s) - 3*c(s). Factor q(x).\nAnswer: -x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 8*u**2 - 10*u + 9. Let g be f(9). Suppose 3*h - 16 = -g*r + r, 2*h = -4*r - 8. Solve v = a + 3*v + 13, 2*a - h = 2*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 1)\/(-1 - (-4 + 2)). Let u = -111 - -112. Sort -8, r, 5, u.\nAnswer: -8, r, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(110)\/sqrt(44)*1)\/((sqrt(8) - sqrt(72))*4*5))**2.\nAnswer: 1\/5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*r**4)*(11 + 8 - 8) + 2*r**4 + 0*r**4 - 3*r**4.\nAnswer: -34*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.43? (a) 78.25 (b) -2\/11 (c) 18 (d) -1 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17070 and 596175.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219060967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10268.93592986 + -10182.935931. Let h = -179 - -93. Let j = h + u. What is j rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/174 and 49\/36?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + 43503?\nAnswer: 43523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196543 + 142920 = -4297*q for q.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 6391.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1124*u**2 + 640*u**2 - 506*u**2)*(0*u**2 - 4*u**2 + 2*u**2) as r + l*u**3 + h*u**2 + c*u + a*u**4 and give a.\nAnswer: -2516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 3*w - 1. Let v be o(6). Let x = v - 10. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60916741?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 8499524. Let j(g) = -4*g**2. What is z(j(v))?\nAnswer: -4*v**2 + 8499524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*t - 579 + 2119, 5*t = 3*f - 1160. Calculate the least common multiple of f and 1.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/173 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*f + 2146 = -238*f. What are the prime factors of f?\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3127977*a**3 - 116*a - 3128009*a**3 + 116*a + 6255989*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4499 - 4499*b + 8987 - 4495.\nAnswer: -4499*b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0 - 122202\/(-15))\/(218\/1090) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(784\/(-1022)))\/((30\/(-45))\/((-8)\/(-3)))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6151 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 411\/(-1096)*(-3 + -1 + 2). Which is the nearest to -0.1? (a) p (b) 15 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1\/4)*1. Let o = 0.6282 + -0.2282. Let g be (-2)\/4 - -1 - 1. What is the third smallest value in o, t, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10456 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79373 is divided by 407?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9729.\nAnswer: 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10098337 is divided by 150?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -320 + -6?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -316 + 324. Let p be (4 - v)*2\/8*-2. Solve -2*a - p = -6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 1181603.2.\nAnswer: 15360841.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -p + 7, -11 = -68*p + 67*p - 3*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 60, 94, 46, 0 in decreasing order.\nAnswer: 94, 60, 46, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc2 (base 16) to base 5.\nAnswer: 44020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2, -0.06, 1 in ascending order.\nAnswer: -0.06, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlx when three letters picked without replacement from {x: 2, l: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -12*g**2 - 1131*g + 1038. What is i(-95)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1415, -6, 71 in increasing order.\nAnswer: -1415, -6, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 12*d - 15363. What is the smallest common multiple of d and 30?\nAnswer: 17070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eheg when four letters picked without replacement from tethhetgtgtgtlf?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6050) + -1*sqrt(6050))\/sqrt(10))**2 - ((sqrt(320) - (sqrt(320) + sqrt(320)*1))**2 - (sqrt(5) - (sqrt(5) + sqrt(20)\/(-2*sqrt(4))))).\nAnswer: -320 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2466 and 3438?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -32*i + 13*i + 20*i + 161 + 21*i. Determine k(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -15. Let l(f) = f**2 + 4*f - 8. Let j be l(-6). Sort -1, b, j in ascending order.\nAnswer: b, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8189 - 1.532. Round d to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -42*j - 48. Let n(t) = -21*t - 22. What is -6*b(p) + 13*n(p)?\nAnswer: -21*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1329, -2760, -4347, -6168, -8301, -10824?\n\"Answer: -13*l**3 - 1340*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 85 = s, 0 = 4*o + o + 3*s - 417. Is o a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -1) + 4 + -3. Factor -3 + 3*l**b + 27*l**2 - 15*l**3 + 5 + 4 - 21*l.\nAnswer: 3*(l - 2)*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*h**6 - 5332*h**5 - 10*h**2 + 23003 wrt h.\nAnswer: 2880*h**3 - 319920*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7551550 and 1510310?\nAnswer: 7551550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 8*o**2 + 1814*o - 7240. Determine s(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9078*p - 72. Let d(b) = -3025*b + 26. What is 11*d(n) + 4*h(n)?\nAnswer: 3037*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 543024 or 2172101\/4?\nAnswer: 543024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25096 - -28978. Calculate the lowest common multiple of m and 4.\nAnswer: 7764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**3 - 413*z**2 - 489*z - 73. What is c(70)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3995501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11402550 divided by 6?\nAnswer: 1900425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90.2 + -90. Which is the closest to -1? (a) h (b) 8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4, 517, 0.2, -2 in descending order.\nAnswer: 517, 0.2, -0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008087 to seven dps.\nAnswer: 0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -60801 divided by 749\nAnswer: -60801\/749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -77489*j**2. Let s(y) = -3*y. Give s(x(t)).\nAnswer: 232467*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + 4. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 10*m**2 - 8*m + 18. Let z be q(-9). Suppose 4*s - 956 = -3*x, -z + 25 = -4*x. Let h = 395 - s. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((4466\/(-21))\/(-11))\/((-2)\/3). Let d = -26 - a. Solve 0 = -2*m + 3*m - d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1564\/(-69))\/((-48)\/(-18)).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 251*c**4\/12 - 421*c. Let p(d) = -d. Calculate p(z(o)).\nAnswer: -251*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 2573978927?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002 a factor of 36364328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-342) - ((-86)\/817)\/((-4)\/(-72)*-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/90 and -123\/370.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 16, -45, -13\/280?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 131*i**7\/210 - i**5\/60 + 19*i**3\/6 + i**2 - 29. Find the third derivative of b(n) wrt n.\nAnswer: 3144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4 - ((-2 - -3) + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5769 by 6.\nAnswer: -1923\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0 + 1 + 2*i)*(-3 - 1 + 2)*(1 - 1 + 15).\nAnswer: -30*i - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13269 by -10.\nAnswer: 13269\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -4. Suppose -4*h = -4*f + 28, 41 - 44 = 3*f + 3*h. Put 1, -5, z, f in ascending order.\nAnswer: -5, z, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8279376 by -1148.\nAnswer: 7212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 + 90. Let s be (-1 + 26)*8\/y. Factor -20*i - s*i**4 - 4*i**5 - 40*i**3 - 5 + 1 - 46*i**2 + 6*i**2.\nAnswer: -4*(i + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + 0.8. Let m = -22 + 35. Let y = 14 - m. What is the nearest to y in -5, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Suppose 3*w + 50 - 143 = 3*a, -g*a - 3 = 0. Suppose w = -f + 3*f. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -1\/3, 0.71, -1.2, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) - 36\/(-8). Let h = -17 + 12. Let m = h - -2. Sort m, -0.1, g in decreasing order.\nAnswer: g, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 99*v - 297. What is l(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.1291 to 2 dps.\nAnswer: 4.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19189582 and 4636?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6122?\nAnswer: 2, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 366. Let r(y) = 157*y + 2. Let j(u) = 76*u + 1. Let q(i) = 2*j(i) - r(i). Calculate q(p(w)).\nAnswer: -10*w - 1830","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**2*l**2*n**3 + 592*i**2*l**2*n**2 + 2*i**2*n**2 - 2*i*l*n - 9*l*n**3 + 23*l + 1 wrt l?\nAnswer: 10*i**2*n**3 + 1184*i**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148727 divided by -7?\nAnswer: -306961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 7*t + 27. List the prime factors of p(-16).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f - 41. Let n = -3416 + 3416. Give y(n).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33943 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - a - 1. Let j(m) = -2*m. Suppose -2*f - 7 + 1 = 0. Let i(y) = f*j(y) + 2*x(y). What is z in i(z) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793830377 to the power of 1\/3, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15968407051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1673.06 + 1673. Which is bigger: 49 or i?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 6, q: 3, t: 2}. Give prob of sequence tj.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 3*z**2 - 3*z - 5. Suppose 4*n = 40*h - 37*h + 60, -4*h = 16. Suppose 10*t + n = 52. Calculate i(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**4 - 5*j + 5*j + (-17*j**3 + 172 - 172)*(3*j - j + 0*j) as c + h*j + i*j**4 + z*j**2 + f*j**3 and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3180, 5947, 8712, 11475, 14236?\nAnswer: 16995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -634, -1457, -2610, -4093?\nAnswer: -5906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -17. Let w = -2 + g. List the prime factors of w\/(-15) - 124\/(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*p = -o - 30, 0 = -o + 2*p - 6. Put -1, 1, o in decreasing order.\nAnswer: 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -7. Let v be -1 + 4 + (-138)\/36. Let j = 52.21 - 52.41. Which is the nearest to j? (a) z (b) -3\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 20 = -10*p. Suppose 5*d - 6*d = -p. Let i = d - -29. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(29925\/(-76)) - 3710\/(-150)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56172 (base 8) in base 11?\nAnswer: 16872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 124590 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: Suppose -2*u + 608*f + 1139 = 605*f, 2*f = 3*u - 1701. Calculate the remainder when u is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1946747, 3893505, 5840271, 7787045, 9733827?\n\"Answer: 4*i**2 + 1946746*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 153*s + 1753 = -154*s, 2*r + s - 704 = 0. Calculate the remainder when r is divided by 113.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3 + (-4 + 4 - 1)*(0 - 1 - 1) + 0 + 2 + 1)*(0*u + 2*u - 3*u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-15)\/(-6) - 1. Suppose -3*a + 3 = -g*j + 10, a = 3. Let u = 24 - 28. What is the closest to 2 in u, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 225.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 + 233*b + 234 = 0. What is b?\nAnswer: -1, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -339913 by -49.\nAnswer: 6937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 32*v**3\/3 - 43. Let z(g) be the third derivative of g**5\/60 + g**2. Give z(y(u)).\nAnswer: 1024*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -4*w, -13*u + 10*u - 2*w + 30 = 0 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 11*v + 8. Suppose -4*x - 390354 + 2366 = v*s, -2*s = 3*x + 387991. What is s rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + d - 26748 = 22181, 4*x = -5*d - 48947. Let n = -8878561\/726 + 12928\/1815. Let m = x - n. Find the common denominator of m and 16\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2524, 6550, 10576, 14602, 18628?\nAnswer: 22654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/4853088 and 3\/164.\nAnswer: 4853088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -1047 - ((-5 - -3) + -1). Let g = -695 - v. Suppose -9*f = -2*f - g. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*(10481\/(-28990) + -3 + (-85)\/(-25))\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 48258?\nAnswer: 482580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -797300 rounded to the nearest 10000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 8. Suppose -2*q + 3*t = -19, 0 = d*q - 5*t + t - 40. Suppose -3*m = 3*r - 15, -3*m + 2*m + r + q = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/174 and 55\/117.\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4*d - 4*a**3*d + 83114*a**3 - 847784*a**2*d - 2*a**2 + 2*a wrt a.\nAnswer: 24*a*d - 24*d + 498684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24139733.\nAnswer: 24139733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -51.1. Which is the nearest to i? (a) -5 (b) -3\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.9 + 29. Let l = -4 + o. Let j = 0.03 + 4.97. Which is the second smallest value? (a) 0 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -23. What is the nearest to 0.2 in -2, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571593.5 hours to minutes.\nAnswer: 34295610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/225 and 55\/4019607.\nAnswer: 100490175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (834*v - 840*v + 2 + 2)*(0*v - 4*v + 3*v) in the form p*v + z*v**2 + k and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -1\/2, 3\/152, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40 or 9278\/233?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.69 + -1.8. Let f = -0.11 - n. Let z = 2.97 - 0.97. What is the nearest to f in -2\/5, 4, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/85 + -163\/595. Let h(o) be the third derivative of 11*o**4\/6 + 329*o**3\/3 - 28*o**2. Let z be h(-15). Put -0.5, -5, z, r in increasing order.\nAnswer: -5, z, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 3, -6, -21?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -27a0 (base 11) to base 14\nAnswer: -1467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 48. Determine h, given that -2*h**5 + h**4 + 0*h**3 - 4*h**4 + 0*h**j + 3*h**2 + h**3 + h = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 529119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07718 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - h - 1419538 + 334188, 3*h - 3 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(3024) - (sqrt(3024)*1 - sqrt(3024))) + sqrt(3024))*-2)\/(-3*-2*sqrt(112)*4)*-4.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 92 and 5?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 383694684 to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 381.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 1.86936?\nAnswer: 0.747744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4882458 and 1470.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*i**2 + 90*i**2 - 29*i**2.\nAnswer: 212*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -398 divided by 5\nAnswer: -398\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 706541.3 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 13697505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 14, -2, -3405, -198 in increasing order.\nAnswer: -3405, -198, -2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -5. Let y(s) = -2 + 2 - n + 2*s. Let p be (2 - 7)\/((-2)\/2). Calculate y(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.72 + 0.72. Let q = -30.1 - k. Let r = 127\/46 - 6\/23. What is the closest to q in 0, r, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 144*h - 12136. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29029\/638*(-136)\/119\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 + 378. Let g = r - 458.00000203. What is g rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, -17, -6, 2.4, 4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 35.91848 micrograms?\nAnswer: 0.03591848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -11*q - 9\/20*q**5 + 1\/14*q**7 + 0*q**2 - q**4 + 2*q**3 + 0 + 1\/5*q**6. Let d(j) = 0. Calculate j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 10 + 30. Suppose 8*c = 5*k + 3*c + 45, -h*c + 25 = -3*k. Let i(u) = u**3 + 11*u**2 + 11*u + 11. Let m be i(k). Let a(w) = 3*w + 1. Give a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -363 in 4, 29, 294?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + r - 2123, -3*c + 3*r + 997 + 1118 = 0. Is c less than 707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19832901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 4. Suppose 3*o = 15 - 3. Suppose 3*h - o = 4*h. Let f(v) = 3*v + 9. Let k be f(h). Determine c(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 + 92. Find the third derivative of -91*k**4 + 246*k**2 - 163*k**2 - 5*k**3 + 5*k**t wrt k.\nAnswer: -2184*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 16 + 25 - 57 + 1978*r + 11. Is a(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b666 (base 15) to base 12.\nAnswer: -120980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**5 - 406467281*f**3 - 466467454*f**2?\nAnswer: 120*f**2 - 2438803686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 265 = -3*j - 4*x, 4*x + 93 = j. What are the prime factors of j?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2756543\/192 - -14357. Is 0 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 6*s**2 - 6*s + 6. Let d(r) = 13 - 3*r - r + 0*r + 3*r. Let c be d(8). Suppose -c*n + 16 = -9. Determine j(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5442*n**2 + 2727*n**2 + 2720*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 74*g + 1336. Let x be a(-18). Solve -7*b - 2*y = -x*b - 14, -3*b + 5*y - 14 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - -30 - (-7 + 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*q**3 + 8*q**3 - 119*q**2 - 226*q**2 + 118*q**2.\nAnswer: -272*q**3 - 227*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 10:39 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.1, 1\/6, -5\/32, -14?\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p - 8. Suppose 5*s = 3*j + 8, -2*j - 4*s + 19 = -5. Let m be o(j). Solve m*k - k + 9 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)*1 - sqrt(242))\/sqrt(11))\/(sqrt(1331)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*-2*(-2)\/(-20)*60775\/(-442). What is the highest common factor of j and 720?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 11:54 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -7*c + 160. Let j(n) = 8*n - 2. What is the remainder when c is divided by j(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/5*1645\/(-141)*9\/(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 5*l - 4. Let j be o(-6). Let c be 0 - -2 - 1\/(-1). Suppose 0 = -j*z - 2, 3*i - 2*z = 35 - c. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, e: 8}. Give prob of sequence fffe.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.757 + -867605.\nAnswer: -867605.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**0*l)\/(l\/l**(-2\/21)))\/(l**11\/(l**12*l)) assuming l is positive.\nAnswer: l**(82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 998722*h**4*j**3 - 3*h**4 - 32*h**2*j + 26*h*j**3 + 4*j**2 + 3 wrt h.\nAnswer: 23969328*h*j**3 - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*i + 2*j - 47, 4*i + 3*j = -103. Let l = i + 55. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-117)*4892\/14. Let w be -2 - 2*905\/30. Let s = q + w. Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -2\/21, -4\/9, 18 in ascending order.\nAnswer: -4\/9, -2\/21, 2\/9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 + -103.000049. What is n rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 63419*z**2 - 4*z + 29798*z**2 + 2*z + 25950*z**2. Let w be d(6). Suppose -a = 2*a + w. Round a to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000 a factor of 321604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/7, -1\/4, -2\/59, -0.6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71288 + -44757. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + -8c?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220111 (base 3) to base 11.\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -0.2, 0.0087?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.58734 and 3.4613251?\nAnswer: 4.0486651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4 = 2*r, -r + 3*c - 2 = -0 + 20 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 3, 4, -4, 2, 27121 in ascending order.\nAnswer: -25, -4, 2, 3, 4, 27121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 423 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17105, -34138, -51171, -68204, -85237, -102270?\n\"Answer: -17033*q - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 - 4*b - 5. Calculate i(6).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -137 or 4\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4481*o**2 + 1407042 - 1407042)*(-3*o + o + 0*o + (-2 + 2 + 1)*(0 + 0 - o) + 2*o + o - o - o + o + 2*o) as d + z*o**3 + u*o + w*o**2 and give z.\nAnswer: -4481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 f, and 2 x when four letters picked without replacement from ffxdxfxxpdfxpppfpff.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 3335*m**7\/42 - m**6\/15 + 313*m**4\/12 + 4*m**2 + 5678*m. Find the third derivative of f(v) wrt v.\nAnswer: 200100*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.47 * 21.0678.\nAnswer: 9.901866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497932*z**2 + 995823*z**2 - 497879*z**2.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42, 83, 148, 249, 398, 607?\n\"Answer: 2*x**3 + 27*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21386 divided by 4\nAnswer: -10693\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*a + 1326 = -1239. Calculate the greatest common factor of 99 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1912063, 1912122, 1912243, 1912444, 1912743, 1913158, 1913707, 1914408?\nAnswer: 1915279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470 - 3*x + x - 3*x**3 - 3*x - 424 + 219.\nAnswer: -3*x**3 - 5*x - 675","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 816?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 512 in -0.4, -3\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -258\/2867 (b) 132 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 9\/5)\/((-24)\/(-60)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + u + 1 - 2)*(8 + 35 + 0) + (-u + u - 2*u)*(0 + 1 + 1) to the form t*u + j and give t.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1*6\/4)\/(48\/(-160)). Sort a, 1, 7, -3.\nAnswer: -3, 1, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**3\/6 + 7*z**2\/2 - 4*z. Let u be m(4). Solve 3*r**u - r**3 + r**5 + r - 5*r**3 + r**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6790 and 2134?\nAnswer: 74690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**4\/28 - 2*a**3\/7 - 9*a**2\/14 - 14*a. Find h such that z(h) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17915 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81*0.06.\nAnswer: -4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1837461968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000079081724 rounded to 7 decimal places?\nAnswer: -0.0000791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 6 = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 44145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -1\/72*y**4 + 1\/18*y**3 + 3*y**2 + 1\/360*y**6 + 0*y - 1\/180*y**5 + 0. Factor n(x).\nAnswer: (x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/11 - 380843688*s\/11 - 18130239336180168\/11 = 0.\nAnswer: -95210922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 218, 392, 568?\nAnswer: 746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1696*c - 1736*c - 149*c as u + m*c and give m.\nAnswer: -3581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -27 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91735622 is divided by 625?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4*u - 23125*g**3*u + 2*g**3 - 43865*g*u wrt g?\nAnswer: 12*g**2*u - 138750*g*u + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 13. Let g = -7 - y. Let b = 2 - g. What is the nearest to 1\/4 in -1\/4, b, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 5*p**2 + 4*p + 7. Let j = -147 - -219. Let y = 95 - j. What is the remainder when z(6) is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**3 - 5*w + 5*w + (4 + 0 - 5)*(9*w**3 - 15*w**3 - 15*w**3) + 3*w**2 + 3*w**2 + 2 - 3*w**3 - 7*w**2.\nAnswer: 13*w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37165 = -5*y - 2*s, -10*y - 2*s = -12*y + 14852. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(4\/7))\/o*o**12 assuming o is positive.\nAnswer: o**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 at least as big as 613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5 = 15. Suppose -15 = -0*p - w*p. Factor -12*k**3 + 3*k**2 + 4*k - 3*k**2 + 2*k**2 + 10*k**p.\nAnswer: -2*k*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + g + 323 + 148 = 0, y = -5*g + 115. Suppose 6*s = s - y. Let n = -14 - s. Solve 5 = -4*o + n*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/63 and -41\/693?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 254917847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 565054844*h**2*q + 739179759*h**2 wrt q?\nAnswer: 565054844*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 133603743 divided by 42133?\nAnswer: 3171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -4\/15*i**3 + 0*i**2 - 1\/15*i**6 + 0*i**5 + 5 + 3\/10*i**4 + 0*i. Factor r(d).\nAnswer: -2*d**2*(d - 1)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**3\/6 - 3*t**2\/2 + t. Let r be i(10). Factor -4*c**2 + r*c**3 - c**2 - 2*c**3 + 0*c**2.\nAnswer: 5*c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36*(-49)\/14700)\/(11\/((-55)\/(-18)))?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((2*sqrt(48))\/sqrt(8)) - 3*(-1 + sqrt(363)).\nAnswer: -65*sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68228, 68216, 68202, 68186, 68168?\nAnswer: 68148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 205 = -1338. Suppose 4*q + 4*l = 1952, 1074 = 2*q - 3*l + p. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 - 12*w - 2987*w**3 - 37*w + 6*w**2 + 2993*w**3 to f*w**3 + z*w**2 + m*w + n and give m.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l**(-2\/7)\/l)\/l))\/l)**25)**35 assuming l is positive.\nAnswer: l**2000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + -5. Let m = 22 + a. Solve 0 = m*x - z + 2, -3*x + 2 = -x + z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -15411*q - 10. Let u(k) = 20544*k + 13. What is 13*g(w) + 10*u(w)?\nAnswer: 5097*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 5. Let p be f(0). Let n = 2 + 4. Let r be (-1)\/3 + (-4)\/n. Sort r, 1, p.\nAnswer: r, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 6*v - 4*k - 233, -2*k - 139 = -3*v. Let t = -10 - -28. Calculate the highest common factor of v and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b - 10*b - 189 = 0. Let r(w) = 2*w + 16. Let m be r(b). Let j be 106\/90 - (-6)\/(-15). Is j smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22459.3706 rounded to the nearest 10?\nAnswer: -22460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48177723 to the nearest integer?\nAnswer: 6941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u + 110. Determine a(18).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2434*h**2 + 5*h - 13. Let v(m) = -4*m. Calculate v(n(q)).\nAnswer: -9736*q**2 - 20*q + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((17\/(-34))\/((-3)\/24))\/((-8)\/22))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 10:28 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 24737465?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 25310*t.\nAnswer: 25310*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*q = -4932, 16*j - 15*j = 3*q + 1229. What are the prime factors of j?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6735581 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71944)\/428400 - (-14)\/1764.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 6*p**4 - 2*p**3 + 5*p**3 + 37*p**5 - 11*p**5 - 23*p**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6\/11, 0, -2\/77, -45.1, 3 in decreasing order.\nAnswer: 3, 2, 6\/11, 0, -2\/77, -45.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-18 - (9 + -34)) - -50?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w**4 - 9897*w**3 - 51945*w**2 + 49857*w + 11970 = 0.\nAnswer: -6, -1\/5, 1, 665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 863 - 14*g - 2118 + 1257.\nAnswer: -14*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -27. Let y = -10 + x. Solve 0 = -k + y*k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlgf when four letters picked without replacement from {u: 2, m: 3, f: 1, l: 1, g: 3, d: 1}.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -2.191996?\nAnswer: -1.5343972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 6 - 3)*(a**2 + 10 - 10) + a**2 + a**2 - 3*a**2 + (3*a**2 - a**2 - a**2)*(-3 - 1 + 2) - a**2 - a**2 + 3*a**2 to q*a + p + w*a**2 and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411240.\nAnswer: 2, 3, 5, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - d**2 - d. Let s(y) = -23*y**2 + 2*y. Let q(c) = -6*i(c) + s(c). Let v(r) = 2*r**3 + 6*r**2 - 3*r. Let g = 7 + -10. Determine g*q(k) - 8*v(k).\nAnswer: 2*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 8*j**2 + 6*j - 10. Let c(x) = x**2 - 4*x - 3. Let g be c(2). Determine k(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001116272 to seven dps.\nAnswer: -0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57554 by 2.\nAnswer: -28777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 45863*i.\nAnswer: -i*(i + 45863)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7 + (-87)\/(-15))*3\/((-18)\/520) is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, z: 8, t: 4}. What is prob of sequence ttw?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, d: 4, b: 10, i: 4}. Give prob of sequence dbbb.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3364*n**2 + 3364*n**2 + 1 - 1 + 74*n**3.\nAnswer: 74*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -885 + 889. Solve -h*p + 14 - 14 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 654 and 98363998.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 14) to base 16\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + o + 2*o. Let i be ((-7)\/7)\/((-2)\/4). Let n(y) = 3*y + i*y - 8*y. What is t(n(k))?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + d + 748 = 81, -3*w - 2*d = -990. What are the prime factors of w?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/301477045 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.1, -3168, -1\/12 in decreasing order.\nAnswer: -1\/12, -0.1, -0.4, -3168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 7*y**3 + 5 - 12*y + 11*y + y**4 in the form f*y**3 + g*y**2 + r*y**4 + a + x*y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 63078748067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 666, -5, 2 in ascending order.\nAnswer: -5, -3, 2, 666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 1770 = 2*w. Let l = -356 + 205. Let x = w + l. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 38. Let d be w(-14). Let q = d - -29. Suppose q*y - 43 = 17. Solve 3*r = -3*x, 2*r = x - r + y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 + 2. Let w(s) = -8*s**2 - 11*s + 14. Let i(b) = 3*b**2 + 4*b - 5. Let n(k) = 11*i(k) + 4*w(k). Let g = -1 + 2. Calculate g*m(y) - 2*n(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 1600*a - 128000.\nAnswer: -5*(a + 160)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {p: 2, c: 2, b: 9, g: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l + 1280 = 1700 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -169 + 258. Suppose 93*b + 12 = a*b. Let o be 4\/10 - (-26)\/(-90). What is the nearest to o in -0.4, b, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 2*a**2 + 6*a - 5. Let t = -15 - -22. Let g(k) = -k**3 + k**2 - 6*k + 4. Let m(o) = t*g(o) + 6*u(o). What is m(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1527 and 133779.\nAnswer: 68093511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/7 (b) -1 (c) 0.17 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 743232 and 673554?\nAnswer: 21553728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llfllzllfzffflfll. Give prob of sequence llf.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-90)\/(-72))\/(2\/8). Find the second derivative of -5*g - 5*g - 8*g + s*g**3 - 25*g**3 wrt g.\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 553 + -538. Let d = 307 - 587\/2. Is i less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.566967436 rounded to three dps?\nAnswer: 9.567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w - 5. Let k = -47 - -25. Let d(f) = f - 1. Suppose 0 = -3*b + 4*b - 10. Suppose b*l - 7*l = 12. Calculate k*d(x) + l*u(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47613539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107087127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/12 + 22*x**2. Let r(v) = 2*v. Give r(f(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 651267 divided by 217?\nAnswer: 651267\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-2))\/((-4605)\/614))\/(-1)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -160655625\/2 - 399\/2*s**4 + 40365\/2*s**3 + 3\/4*s**5 + 73324875\/4*s - 937950*s**2.\nAnswer: 3*(s - 65)**4*(s - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 + k + 3. Let u be (6 + -2 + -2)\/((-4)\/(-6)). Calculate a(u).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4159939 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, z: 3, r: 2}. What is prob of sequence xzrz?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h**2*u*y + 38*h**2*y**2 - h*u*y**2 + 2*h*u - 154*h*y - 787*u*y**2 - 45*y**2 - 18*y wrt y?\nAnswer: 76*h**2 - 2*h*u - 1574*u - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-30)*(0 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -15. Let d = 4 + z. Let s(c) = c + 14. What is the lowest common multiple of s(d) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(171) + 0)*1 + (-4 + sqrt(171) + (sqrt(171)*2 - sqrt(171)) - sqrt(171)) + sqrt(171))**2.\nAnswer: -6220 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(110)*5 + -2*sqrt(110)*6)*-1)\/(sqrt(10) + ((3*sqrt(10) + sqrt(10))*2 - sqrt(10)) - (sqrt(120) + sqrt(120)*-1)\/sqrt(12)))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + 11001201120021?\nAnswer: 11001201112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 - 139*h - 1172. Let o be a(-7). What is the fourth biggest value in -0.2, 1\/4, o, -19, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/10 - 12\/(-15). Let j be p + 2 - 3*3. Is 2 a factor of (72\/40)\/(j\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 1009, -196 in descending order.\nAnswer: 1009, -3, -4, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/6 + 87\/(-6). Let h = -12 - z. Suppose -2*u + h*u = 4000000. What is u rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-45)\/36*3\/9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 - 59 - s**4 + 73 + 4*s - 3*s as a + u*s**3 + t*s**4 + h*s + p*s**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 4 - 4*n**3 + 5*n**3 - 11 + 0 to the form a*n**3 + t + z*n**2 + p*n and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.6 in 2, 78, 1.93?\nAnswer: 1.93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/((l**(1\/2)\/l)\/l))*l)\/l*l**4)\/(l**(-1\/3))**(-8\/9))**25 assuming l is positive.\nAnswer: l**(2975\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 a when four letters picked without replacement from {r: 2, j: 4, a: 8}.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -205 - -25510?\nAnswer: 25305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -313, -833, -1557, -2485, -3617, -4953?\n\"Answer: -102*x**2 - 214*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -5 + 10 + -26.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 1)*-1)\/(26\/13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 41 + 799. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 + 3 - 3 + (-t**4 + 0*t**4 - t**4)*(t + 0*t - 2*t) + (2*t - 2*t + 2*t**5)*(-2 + 6 - 3).\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1373.1 + -1373. What is the closest to c in 5.9, 3\/7, 3\/2, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1334026 and 38.\nAnswer: 25346494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4675.37 rounded to the nearest one hundred?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7629 + 22140. What is the remainder when r is divided by 246?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**5 + 1381040*o**4 - 23478915*o**3 + 58007270*o**2 + 5524220*o - 77343000 = 0.\nAnswer: -276225, -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/7 (b) 3 (c) -0.2 (d) -0.1 (e) -79 (f) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2997, -2988, -2979?\nAnswer: -2970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l. Let n(i) = i. Let g = 3 - 2. Let q(z) = g*c(z) + 4*n(z). Let b(a) = 2*a. Determine b(q(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 83 = -2*x. Suppose -b + 75 = 2*z, -z - 954 = -2*b - 1019. Calculate the remainder when x is divided by z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h**3 - 10*h**2 + 435. Let t(u) = 15*u**3 - 12*u**2 + 436. Calculate -7*n(k) + 6*t(k).\nAnswer: -k**3 - 2*k**2 - 429","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(6*1\/4). Is 19 a factor of (n - -1) + 1 - -19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227703908.\nAnswer: 2, 3, 3307, 30937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11124.5247 rounded to the nearest 10?\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.4 + 2.1. What is the third smallest value in z, 1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579339*f**3 + 289191*f**3 + 289694*f**3.\nAnswer: -454*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 6*b - 1. Let k be m(-5). Let x = 1131 - 1563. Let f = -396 - x. What is the greatest common factor of k and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3165521 minus -54959744?\nAnswer: 54959744.3165521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/8 (b) 0.5 (c) 1\/371\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(2*h - h - 5*h)*(-3 + 14 + 1 - 2 + 2 - 1 + (0 - 2 + 3)*(4 - 1 - 4) + 3 - 5 + 4 + 2 + 1 - 1) to a*h + j and give a.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -4*c - 68, 5*r + 273 = -2*c + 274 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101100001111100 (base 2) to base 10.\nAnswer: -120956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and -0.073.\nAnswer: -0.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*a - 16, 3*a + 12 = 3*z - a. Let l be (3\/(-4))\/(z\/(-48)). What are the prime factors of 1 + (l\/(-3) - -17)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578*k + 582*k - 147220 = 0. What is the ten thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5112880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -4*l**2 + 0*l + 0 + 1\/60*l**5 - 1\/12*l**4 + 0*l**3. Find the second derivative of i(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-15)\/1))\/1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11857 - 4946. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - y**3 - 2*y**3 + (-2*y + 3*y - 5*y)*(2*y**2 - 5*y**2 - y**2).\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232551, 465118, 697685, 930252?\nAnswer: 1162819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 + 4*l**2 + 2*l. Let j be v(-2). Let f = j + 4. Solve -3*c = 2*m + 7, -31 = -f*m - 4*m + 3*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 2561505?\nAnswer: -2561510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 25. Let o = 2 + 2. Sort d, o, -6.\nAnswer: -6, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**5\/60 - 5*v**4\/24 - 2*v**3\/3 - 3*v**2. Let t(f) = -f**2 + 2*f + 45. Let b be t(8). Give q(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 6*v - 5. Let o be h(5). Let b(t) = -1 + o + 2*t - t**2 + t. What is b(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) - ((-39)\/4 - -4). Suppose 5 + 1 = z*u. Is -1049*u*-2*4\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10*h + 59. Let d be p(-6). Which is the nearest to -3? (a) -0.5 (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109535 = -83*q + 114731. What are the prime factors of q?\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n + 8. Let f be q(-3). Put -3, -2, 4, f in ascending order.\nAnswer: f, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 49 - 4 = 5*q, 26 = k - 3*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2771542 to three dps.\nAnswer: -0.277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -9. Suppose u = 4*r - 3*r - 4. Suppose 3*k + 5*t = 7*k - 4, -3*k - r*t = -3. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(1 - (-56)\/(-49)). Calculate the greatest common factor of c and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 341 - 201. List the prime factors of (224\/p)\/(1\/215).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 10961625.81.\nAnswer: -10961620.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 7. Let h(d) = 12*d**2 - 3*d. Let p(y) = 13*y**2 - 3*y. Let g(n) = r*p(n) - 3*h(n). Let q(o) = 60*o**2 - 65*o**2 + 7*o**2. Give q(g(s)).\nAnswer: 200*s**4 - 120*s**3 + 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/26)\/(8\/60) and -19\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124416.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*r + 34*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66678, 133356, 200034, 266712, 333390, 400068?\nAnswer: 466746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265396440 to the nearest integer?\nAnswer: 16291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 322.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -22. Let r = -12 - 1. Is r > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9420 - -9420. Which is the nearest to j? (a) -5007 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 1444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(540\/(-84))*5*24\/700?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z + 0*z - z + 3*z + 1. Let j(c) = 5*c - 8. Calculate -6*g(u) - j(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1389 and 11\/9?\nAnswer: 4167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -73*n**2 + 1834*n - 207. Give s(25).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.848 (b) 1 (c) 90 (d) -10\/9 (e) 0 (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1008) + 0 + (0 + 0 + sqrt(1008) - sqrt(1008)))**2 + -1.\nAnswer: 24*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-344)\/16*2\/4 + (-3)\/12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.08 + -6.98. Let q = x - -6.3. Which is the second biggest value? (a) 1 (b) -2\/9 (c) q (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 7*o - 3. Suppose 24 = -19*b + 23*b. Suppose -2*s - b*s + 40 = 0. Let n = s + 2. Give d(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16949, -2\/15, -6 in increasing order.\nAnswer: -6, -2\/15, 16949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 8, u: 7, h: 2, d: 1}. Give prob of sequence ho.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -2 + (6 - 11 - 10).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 5:33 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -172300315, -344600629, -516900943, -689201257, -861501571?\n\"Answer: -172300314*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 9*d + 19 = 4*p, -4*p = -d - 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**4\/12 + 13*x**3\/6 - 23*x**2\/2 + 5*x. Let s be q(11). Let z be (3 + -18 + -4)*s\/(-5). Is z less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 22*o**2 + 22*o - 23. Determine x(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1899*w - 203. What is the tens digit of m(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2*v + 14 = 0, 3*v + 1 + 0 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -1 (c) -2\/3419 (d) -0.5 (e) 0.2 (f) 48 (g) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in -1, -0.2, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 7*w**2 - 6*w + 6. Let k be g(-6). Let p(b) = -6*b + 7*b**2 + k*b. Let z(h) = 7*h - 15*h + 7*h + 3*h. Give z(p(a)).\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10560 and 7736?\nAnswer: 10211520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-7032)\/5*1160\/(-348)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3742023?\nAnswer: 3, 17, 239, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -47. Solve -2\/7*m**2 - 2\/7*m**5 - 6\/7*m**4 + 0 + 0*m - 6\/7*m**r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147895000 rounded to the nearest one million?\nAnswer: 148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v + 7. Let d be o(-1). Suppose -16 = -n + 3*t, -3*n - 8 = d*t - 80. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1711360*f**3*k**3*m**3 + 15*f**3*k**3*m**2 - 2*f**3*m + f*k**2*m**2 - 61*f*k**2*m + 3*f*k*m - 2*m**2 wrt m?\nAnswer: -10268160*f**3*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -359.6 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(8\/9))**(-22\/3))**(-28) assuming x is positive.\nAnswer: x**(4928\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 10939, 2 in increasing order.\nAnswer: -7, 2, 10939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 = 3*c, 4*i = -2*c + 7*c + 6. Let z be (-2)\/4 - 1\/c. Suppose z = 3*s - 87 - 0. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 1. Let t(w) be the second derivative of 2*w + w**2 + 0 + 1\/3*w**3. Suppose -n - 3*h = 16, 4*n + 32 - 4 = -3*h. What is n*x(u) + 3*t(u)?\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -152 + 171. Suppose -5*g + 12 = 2*t, l*g - 15*g - 30 = -5*t. Let b = 8 + -5. Solve -b*c + y + 2*y = -t, c + 1 = 4*y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 235326*i - 235323*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 54744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -32*-15\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5 = -3*z + 18, -z + 13 = 2*d. Suppose 2*u - x - 35395 = -2*u, 5*x - 44250 = -z*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.45005 to two dps.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034939782 to five dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000163 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 1. Let l(d) = -233*d**2 + 229*d + 112. Let x(u) = -1806*u**2 + 1778*u + 868. Let m(w) = 70*l(w) - 9*x(w). Calculate -m(t) + 28*p(t).\nAnswer: 56*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000000 + 1010?\nAnswer: -1010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1144317658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7\/2. Let g = -152 + 305\/2. What is the second biggest value in -4, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5473 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - y - 134, -4*o - 537*y = -522*y - 65 - 58 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.19, -343, -2, 253?\nAnswer: -343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42146 + 42141.2586. Let n = f - -0.0714. Round n to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 8. Suppose 0 = -3*p + t + 1. Solve -2*g + 14 = 3*j, 0 = j - p*g + 3*g - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 178 + -11228888?\nAnswer: -11228710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1385310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 54235349.\nAnswer: -3\/54235349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190*-1.019.\nAnswer: 193.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 4 + 16 + 5 - 25.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1240 = -38*u - 169*u - 205 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 190.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -280*b + 11708. Give p(41).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 - 26. Suppose -4*k = -k - 2*t - 13, d = 4*k + 4*t. What is the derivative of -2*w**2 - 3*w**2 - k + 10 + 0*w**2 wrt w?\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-8)\/4 - 14\/(-35). Put -4, 2, -0.3, d in descending order.\nAnswer: 2, d, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37418 is divided by 12428?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.52? (a) -1\/4 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/38 + (-135)\/380. Sort i, -2\/7, 0.4, 3 in ascending order.\nAnswer: -2\/7, i, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.32 * 1.2207.\nAnswer: -0.390624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*d + 12 = 44*d. Let x(a) = -a + 11. What is the lowest common multiple of d and x(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, m: 1, p: 1, n: 1, z: 1}. Give prob of picking 1 f, 1 n, and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 4*c**2 - 4*c - 5. Let z be d(5). Suppose z = 5*r - y + 4*y - 11, -r = -5*y - 19. Solve -3*i + 10 = r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from swovwvwyw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 6:34 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 + v**2 + 4*v - 8. Let x(r) = -63*r**2 - 58*r**2 - r**3 - 2*r + 120*r**2 + 4. Let n(m) = -2*s(m) - 5*x(m). Give n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tptapptdtaaptqp. Give prob of sequence ptt.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(-78) - (-57)\/(-18). Let z be (-2)\/4*5\/10. What is the closest to 1 in 2\/7, g, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 312 in -0.43, -1, 0.04, 0, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3410, 6840, 10302, 13814, 17394, 21060, 24830, 28722?\n\"Answer: 3*d**3 - 2*d**2 + 3415*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + c - 1. Let y(g) = -3*g**3 - 5*g**2. Give 2*i(w) + y(w).\nAnswer: -w**3 - 5*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/6*1)\/(56\/1260). Suppose 0 = -3*z + d + h, -4*z + 2*z + 5*d = -20. Let t = 117 - 78. What is the remainder when t is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, u: 9, c: 3, t: 3}. Give prob of sequence tcc.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.964957 + -0.064143. What is c rounded to 2 dps?\nAnswer: -4.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 47. Let n = r + 23.0000046. What is n rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(160) + sqrt(24))\/(sqrt(1452)*2).\nAnswer: 5*sqrt(2)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - g + 2. Let n(u) = 57*u**2 - 4*u + 8. Calculate -n(y) + 4*t(y).\nAnswer: -61*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38608732*l**6 + 7*l**2 + 166279*l - 7?\nAnswer: 4633047840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 + -131. Let z(y) = -3*y - 44. Let r be z(-18). Suppose -r*n - 60 = -12*n. What is the remainder when m is divided by n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - -58 - (-5 - (-19 + 4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 36130.6 to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(85) - ((sqrt(85) - ((2*sqrt(85) - sqrt(85)) + sqrt(85))) + sqrt(85))) - sqrt(85))\/sqrt(5).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 385 divided by 244\nAnswer: 385\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-162)\/10)\/((-1)\/5). Let b = -49 + z. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*y - 16, -g = -2*y + 7*y + 17. Let k be (93\/(-124))\/(g\/(-8)). Sort k, 0, -10 in increasing order.\nAnswer: -10, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 1231 = 6*i + 1703. Put -5, 5, i, 0, 6 in descending order.\nAnswer: i, 6, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -639.6 - 1471880.5.\nAnswer: -1472520.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1704.8 + -1705. Which is the fourth biggest value? (a) u (b) -3 (c) 0.02 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89*o**3 - 226*o**2.\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1236 - -2720. Does 60 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1 - (16 - 208\/13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2239 - 2239.3. What is the closest to w in 20, -2\/21, -3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1279\/866 - -10\/433. What is the nearest to 0 in p, -0.3, -9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 25 = 49. Suppose -h*l = 4*t - 176, -3*l + 122 + 18 = 5*t. Suppose -2*x - 77 = -3*x. What is the remainder when x is divided by l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 3*t**2 - 2*t - 1. Let n be c(2). Let a(y) = y**2 + 9*y - 1. Let x be a(n). Let z = -2 + x. Sort 4, -1, z.\nAnswer: z, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -1\/5, 6314?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iihi when four letters picked without replacement from hiiiiihii?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*o**2 + 2*o**2 - 2*o**2.\nAnswer: 62*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 + 8306*w**2\/7 - 39964258*w\/7 - 23773316382.\nAnswer: 2*(w - 4473)*(w + 4313)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -12, -0.2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500 = 80*s - 21*c + 7*c + 10*c, -8 = -2*s + 4*c - 8*c for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 9 - 5 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 993668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3*-6*(-67 + 69). Suppose r*a - 276500 = a. What is a rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 0*y - 2*y + (-y - 3*y + 2*y)*(5 - 2 - 4) - 2*y + 4*y - y - 11*y - 19*y + 197179 - 197204 to u + q*y and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*y + 75*y = 6832. List the prime factors of y.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 87.65955ug?\nAnswer: 0.00008765955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2430)*-4 + sqrt(2430)) + sqrt(2430))\/(sqrt(10) + sqrt(640) + sqrt(640)*1 - 1*sqrt(810)).\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-16)\/(-6)*9\/6. Let c be ((-15)\/(-12))\/((-10)\/4 + j). Let s = 0.018 - -66.982. Which is greater: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from uzuuzzuuuu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.83 - -21. What is the closest to q in -1\/5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717310.\nAnswer: 2, 5, 11, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s + 14*s + 6*s + (1 - 8 + 0)*(2*s + 0*s - s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*v - 216 = -312 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16311 - 16106. Calculate the remainder when 2247 is divided by r.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2. Let i(f) = 2*f**2 - 299*f + 1. Determine i(x(r)).\nAnswer: 18*r**4 - 897*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, n: 2, g: 5, i: 8}. What is prob of sequence niig?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2660\/309 + 612\/103. What is the second biggest value in -3\/7, g, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8953.3274 rounded to the nearest ten?\nAnswer: 8950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three quarters of a century?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (35 + 4)*51 - (1 - 6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*z = -250*z - 456. What is the remainder when 210 is divided by z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847 a factor of 218148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14015 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 6 - (2 - (-8 + 7)) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 531625 divided by 106325\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -1)\/(-1) - 4. Let z(l) = -l**2 + 2*l + 3. Calculate z(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 519856*g**3*k**4 - 5*g**3*k**2 - g**3*k + 5738*g*k**2 wrt k.\nAnswer: 12476544*g**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 27*b**2 - 2*b - 5. Let z be a(-19). Suppose -z = -4*d + 155. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m + 23*m**2 - 7*m**2 - 1 - 1. Let k be -10 - (75\/100)\/((-105)\/(-36) + -3). Determine c(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44\/8320967 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7794022cm in nanometers?\nAnswer: 7794022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15087800 divided by -2275\nAnswer: 6632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 7*n - 3*n - 32, t + 4*n + 16 = 0. What is the nearest to 1 in t, -2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 + 10*k**2 + 97*k\/2 - 322.\nAnswer: -(k - 23)*(k - 4)*(k + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 886 and 92327402.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 10 = 0, 0*k - k = 5*n + 122. Let v = n - -27. Solve -5*s - v - 7 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826647679 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9823661*l**3*z**2 + 574*l**2*z**2 - 2*l**2 - 3348 wrt l.\nAnswer: 58941966*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 375816645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 3, -60, 7\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022\/(-365)*(-5)\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7466 is divided by 2201?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 6*v**2 - 18*v - 10. Let c be u(-8). Is 23 a factor of 3\/6*2*690\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 163, 226, 293, 364, 439?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1572183 is divided by 462.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 20. Let q be k(0). Let i be (-5)\/q + 1935\/(-4). Let v = i + 831. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3484 and 1040678.\nAnswer: 1812861076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5751130043.\nAnswer: 47, 122364469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 18. Let r = -110 - -159. What is the greatest common divisor of i and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -29. Suppose 0 = -y + r + 37. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20885939*y - 20885939*y - 4*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i + 2. Let r be (2 - 0) + (0 - -1). Let x be 0 + 4 + 0 - -8. Suppose -r*s + 14 = n - 1, x = 3*s. Let h(y) = 3*y - 2. What is n*h(w) + 2*v(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-4)*(-16)\/10. Suppose -5*a + 501 = t, 0*t + k*a = 3*t - 1465. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 8*b + 22. Calculate the remainder when 21 is divided by q(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3579738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 64878*u - 128943*u + 1 + 64562*u)*(2*u - 4*u + u) as k*u + x*u**2 + o and give x.\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*y = 60, n = -n + y + 30. Suppose -5*a = -n - 6. Let x = 8 - a. Let q(p) = -p + 1. Give q(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + 0*a**3 - a**3)*(2*a - 5*a + 2*a) + 6*a**3 - 11*a**4 - 6*a**3.\nAnswer: -9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b2a + -99?\nAnswer: a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.79 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 + -0.1. Let b = -0.04 - h. Let o = 3 - b. Sort -0.2, o, -2 in decreasing order.\nAnswer: o, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6ee7 (base 16) in base 12?\nAnswer: -1451b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 7*j - 5*j - 4.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {g: 3, u: 12, k: 1}.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, -6\/5, -2\/5, -2\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9904.2 take away 0.1?\nAnswer: 9904.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000042639 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 5505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -11. Let k be 6\/28*(-140)\/(-120). Let s = -1.99 - 0.01. Which is the nearest to f? (a) -5 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 760*h = 8452533 + 9492307 + 3198360. What is h rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 11:45 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 + a**2 - 7*a + 4. Does 17 divide j(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 7*x**2 + 254*x - 8. Give n(-21).\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**3 - 4*z - 44. Let n(y) = 8*y**3 + 11*y + 132. Calculate -11*m(r) - 4*n(r).\nAnswer: r**3 - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.0560053.\nAnswer: 0.02240212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**3 - 6*d**2 + 5*d + 7. Suppose 3*b = 16 + 47. Let p(w) = w**3 + w**2 - w - 1. Let t(k) = b*p(k) + 3*i(k). Factor t(c).\nAnswer: 3*c*(c + 1)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 717559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-36))\/(24\/108))\/(13\/20)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 53. Suppose -u - 6 = -3*u. What is the nearest to 2\/5 in -0.4, u, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from iyiinnny.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -0.0299 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -36.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**4\/6 + 2*a**3\/3 + 3354*a**2. Let t(c) = 15*c. Give t(s(n)).\nAnswer: -60*n + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -29. Let s = -327 + 327. Which is the third smallest value? (a) s (b) -1 (c) h (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 at most -0.457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7754*o + 3614*o + 3769*o to the form r*o + s and give r.\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -2*j - 15. What is the highest common factor of j and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (2\/(-3) + (-33)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-14 - -11) - (2 + 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1985 + 1960 - (-5 + 0).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6172\/9 at least 686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = s + 2, 2*s = -3*p + 2 + 4. Which is the second smallest value? (a) 0.4 (b) 8 (c) s (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 48*p**2 - p + 1. Let o be k(1). Let d be 10\/85 - 100\/(-17). Suppose -8*j + 9*j = d. What is the highest common divisor of j and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263922625 to the power of 1\/2, to the nearest integer?\nAnswer: 16246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -8)*(-733)\/2. Let b be (-2)\/(-5) + (y\/15 - 2). Suppose r - 80 = -v, 5*r - b = -2*v - 0*v. What are the prime factors of v?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*q + 59, 4*q - 6 = 10. Calculate the remainder when 74 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2721 - -2724. What is the fourth biggest value in -1, 1\/565, k, 1\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 15*r - 6. Let o be p(2). Suppose 0 = n - o - 52. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 12)\/(-1 + 2). Let q = h - 9. Factor 9*i**2 - 6*i**3 - i**2 + 2*i**4 - q*i**2.\nAnswer: 2*i**2*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 2, 1, -31, -1 in decreasing order.\nAnswer: 36, 2, 1, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4940246471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 114996808057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 28*h - 64*h + 35*h. Let k(c) = -25*c + 6. Let o(g) = 373*g + 152*g - 59 - 66. Let p(q) = -125*k(q) - 6*o(q). What is r(p(z))?\nAnswer: 25*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (42 + 12 + 36)*(-3*d - 17 + 3*d - 1829*d**2 + 0*d + 1820*d**2) as a*d + x*d**2 + c and give x.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -33. Is z >= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 2:24 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17762 + -17762.1. Which is smaller: b or 47\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, r: 1, x: 5, m: 5, w: 2}. What is prob of sequence bmrw?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1705 + 0.86821782\nAnswer: -1704.13178218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from pqdp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 - 6. Let n(p) = 54*p. Determine f(n(k)).\nAnswer: -5832*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 135143412 (base 6) in base 7?\nAnswer: 32341331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*-2 - (4 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 5*w + 10. Let v be q(14). Suppose 4 = d - 3*d. Calculate the common denominator of 137\/18 and v\/(-22)*d\/(-8).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5146, -10267, -15414, -20593, -25810, -31071, -36382, -41749?\nAnswer: -47178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y = 8, 5*y + 40 = 5*g. Suppose -5*z = -g*z + 5. Let r(l) be the second derivative of l**4\/12 + 5*l**3\/6 - 3*l**2\/2 - 11*l. Determine r(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2445.68231 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53861473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - 5*s - 8*s**3 + 6*s**4 - 7*s**4 - s**3 - 2*s**2 to the form m*s**4 + t + i*s**3 + h*s + q*s**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2433.\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10937142 less than 10711040?\nAnswer: -226102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 + 2*b**3 - 2*b**3 + (-6*b + 3*b + 2*b)*(-3*b**2 - 4*b + 4*b) + b**3 - b**3 + 2*b**3 in the form q*b**3 + f*b + j + c*b**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -15. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71958918 divided by 7.\nAnswer: -71958918\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3171\/12 + 3\/(-12). Let r = 264 - q. Solve 5*b + 4 + 6 = r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 11638452?\nAnswer: 11638452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/8 - 5*g**3\/8 + 7*g**2\/8 - 3*g\/8.\nAnswer: g*(g - 3)*(g - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 164*c - 2*c**4 + 3*c**4 - 6*c**3 - 165*c - 2*c**2 in the form q*c**2 + n*c**4 + m*c + k + j*c**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvog when four letters picked without replacement from vjvjggkzo.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 1. Let i(q) = -2*q**2 + 5*q - 1. Determine -i(u) - 2*l(u).\nAnswer: 2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 3\/7, 4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103558221.\nAnswer: 25219, 43759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 92?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -645 + 1199.804?\nAnswer: 554.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -9*w**5\/40 - 3*w**4\/8 - w**3\/4 - 5*w**2. Factor r(k).\nAnswer: -3*(3*k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18006 (base 13) to base 4\nAnswer: -23100333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -27*c**2. Let u(q) = -955*q**2. Give u(z(g)).\nAnswer: -696195*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -5\/2, -1\/166148, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -1\/840*n**7 + 0 + 0*n + 0*n**6 + 0*n**3 + 0*n**5 + 0*n**4 - n**2. Solve z(s) = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - 20\/5 - 0. Suppose d + 482 = 5*n, f = -3*n - 0*d - 4*d + 280. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74005.716 to the nearest 10.\nAnswer: 74010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r. Let x be l(-5). Suppose -x*p + 42 = -113. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.25 - 22.75. Let r = 23.5 + j. Let g = 1.5 - 1.3. What is the third biggest value in r, g, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 6*x**2 - 3. Let i(a) = a**2 + 12*a + 26. Let y be 1*-14 - (-10 - -6). Let m be i(y). Determine v(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 223.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31 + 1a3a?\nAnswer: 1a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w**2 - 2*w + 0 + 0)*(8*w - 4*w - w)*(35 - 69 - 10*w + 337) to m*w + h + u*w**4 + r*w**3 + q*w**2 and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 32 = -p, -40 = -p + 15*g + 51 - 26 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -27.49729?\nAnswer: -24.49729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -9. Let w = m - 18. Let h be w*1\/7 - -2. Sort h, -3, -0.5.\nAnswer: -3, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*l = -49, -3*m + 3*l + 34 + 14 = 0. What is the second derivative of 25*z**3 - 14 + m*z + 14 wrt z?\nAnswer: 150*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009264839 a multiple of 2569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*((7\/2 - 0) + -2). What is the derivative of 6*p**2 - 5*p**4 + k + 6*p**2 + 1 - 9*p**2 + p**2 wrt p?\nAnswer: -20*p**3 + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57750 is divided by 269?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 178688506?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*n - d, -n - d - 1 = -0*d. Let i = n + 7. Find the third derivative of 4*c**2 - 2*c**2 - c**2 - i*c**2 - c**3 wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*u - 0*u. Suppose b + 9 = 4*b. Suppose 4*j - b*h + 55227 = 16812, 19190 = -2*j - u*h. Round j to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*8\/(-84))\/(2\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -355094, -1420413, -3195944, -5681687, -8877642?\n\"Answer: -355106*q**2 - q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1411*m - 570.\nAnswer: -1411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.26 + 0.56. Which is the third smallest value? (a) -1\/2 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v + 115 = 141. Let h(q) be the first derivative of 3*q**2 + q + 1. What is h(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -n**2\/2 - 2. Let t(v) = 4*v. Give t(z(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 16*o + 4. Let z(w) = w**2 - w - 1. Suppose 0 = u + 4. Let g(r) = u*z(r) - n(r). What is the second derivative of g(t) wrt t?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a kilometer in meters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-two fifths of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-42) - (-4)\/(-14). Suppose -q + d = -f*q - 10, 4*d + 5 = -3*q. Solve -3*k = -4*v - 6, 3*v - q*k + 0 = 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 6:03 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -144912882\nAnswer: -86947729.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 141 = -3*m, 3*m - s = -m + 188. Suppose 21 = 4*l - m. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19813.06528 to the nearest ten.\nAnswer: -19810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2273 = 333. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**3 - 14*c**2 + 3*c - 11. Let k(m) = m**3 + 5*m**2 - m + 4. Let i(v) = -3*j(v) - 8*k(v). Let o be i(-3). Is -4 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 100*c**2 - 730*c - 185. Let a(b) = -25*b**2 + 183*b + 46. Let l(f) = -25*a(f) - 6*x(f). What is w in l(w) = 0?\nAnswer: -1\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 923075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 487.3548 millennia in decades?\nAnswer: 48735.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/49*(2*1 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t + 1. Let l be b(3). Let d = l - 11. Let h(a) = -52*a**3 + a + 1. What are the prime factors of h(d)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1072184 and 2144368?\nAnswer: 2144368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210220100010 - -10200?\nAnswer: -210220012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.67 - -3.72. Let y = 780 + -5462\/7. What is the nearest to -2\/5 in y, 4, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -41. Let p = t - -11. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 1\/10, -2, 256\/13, 0?\nAnswer: 256\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.040881 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*c - b, -129796*b - 19 = 4*c - 129795*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = y - 2 - 1, -2*y - 4*u = 18. Put y, -6, 1 in decreasing order.\nAnswer: 1, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**3 + j**2 + 8*j + 13. Let c = 9 + -4. Let x(p) = p**3 - p**2 + p + 1. Let b(u) = c*x(u) - z(u). Does 11 divide b(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 - (-5 + 14 + -15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3051 and 498.\nAnswer: 506466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3043\/11 in 4\/11, 8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-302)\/453)\/((-1)\/(-24))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 8*a**2 + 8*a + 2. Let v be j(-7). Let u = -3 - v. Solve 5*l - u*p + 8 = -0*p, 11 = -4*l - 3*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 479884 divided by -108.\nAnswer: -119971\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 118610281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 - 2*u**2 + 4*u + 337. Let k(i) = 6*i**3 - 5*i**2 + 10*i + 675. Determine -5*c(n) + 2*k(n).\nAnswer: 2*n**3 - 335","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -381319.523 rounded to the nearest ten?\nAnswer: -381320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - m - 3*m = -824, 0 = -5*z + 2*m - 1030. Let g = z - -255. Calculate the remainder when 141 is divided by g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -2*j + 5*j. Let v be 4\/3*j\/(-4). Let p(i) = i**3 + 7*i**2 + 5*i - 1. Determine p(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90983?\nAnswer: 37, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 44?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2229*f + 3207. List the prime factors of s(28).\nAnswer: 3, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 2*c - c + 4*c - 1.\nAnswer: c + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {m: 3, i: 3, j: 1, d: 1, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508010*n - 507761*n = 23406 for n.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14119200.\nAnswer: 2, 3, 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27993 and 180471?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 - 219*n - 223. Give k(-72).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(44)\/sqrt(4) + sqrt(11) + (sqrt(99) - sqrt(11)) + 2.\nAnswer: 2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 5, -4\/5, 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3380906 and 4881?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + i + 5*i - 62 = 0, -j = i - 13. Solve 0 = -2*y - 6 - j for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/sqrt(2) + 1)*5.\nAnswer: 5 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + z + 3 = 0, -z - 1 = -3*a + 8. Let q(o) = 124*o**3 + 3 + 2*o - 128*o**a - 2. What is q(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, -1\/4 in ascending order.\nAnswer: -0.4, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**2 + 16*p + 13. Let c be n(12). Let x = c - 137. Let h = 696 - x. What is h rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70))\/sqrt(10))**2*-1 + (1 + sqrt(567))**2 + sqrt(7) + (sqrt(7)*1*-3)**2.\nAnswer: 19*sqrt(7) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 v when three letters picked without replacement from {e: 5, v: 3, o: 1, h: 2, m: 4, p: 5}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.000013 - 11. Round x to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5613 + 5612.6. Let k = 10 - 14. Put k, q, -0.2, -36 in decreasing order.\nAnswer: -0.2, q, k, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001224 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -824357.7 rounded to the nearest one thousand?\nAnswer: -824000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(2 - 2 - 1)*(6 - 3 - 2)*(-3*a - 3*a + 4*a)*(136*a**2 + 301*a**2 - 28*a**2).\nAnswer: 1636*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 1)\/(2\/31). Find the common denominator of c\/16 + 1 + 1 and 71\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 5*x + x)*(80*x - 50*x + 12*x) + (-4*x**2 - 2*x**2 + 5*x**2)*(-2 - 3 + 6) + 2*x**2 + 6 - 6 in the form f*x**2 + a + n*x and give f.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6071, -6070, -6069, -6068, -6067, -6066?\nAnswer: -6065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/4))\/u**(-4)*u**(1\/6)\/(u**(4\/3)*u) assuming u is positive.\nAnswer: u**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 11.00309?\nAnswer: -5.501545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -3) + 8 - 12. Let b(g) = -g**3 - g**2 + 2*g - 7. Determine b(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -26*l - 249. Calculate m(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) -0.02 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Suppose -4*w**4 - 2*w**3 - 8*w + w**5 + 4*w**3 + 4*w**2 + 4*w**3 - w**h = 0. Calculate w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-1 + (4 - -2))) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -18 - 2. Let b be 36\/(-16) + 1\/y. Let u = b + 2. Solve -2*g - 1 = -w - 4, u = -3*g + 3*w - 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 45 + 4*v**2)*(2*v - 4 + 4) + (0 + 0 + 2*v)*(-v**2 - 3 + 3) - 6*v**2 + 6*v**2 - 13*v**3 + 0*v**3 - 2*v**3 + 2*v + 3*v**3 + 62*v**2.\nAnswer: -6*v**3 + 62*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1156\/7345 - -2\/565. Let n = 18 + -11. Let d = -6 + n. Which is bigger: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33133.54 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -8*j. Let q = -0.5 - -0.2. What is the nearest to 0 in q, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.2. Let h = 399 - 398.9. Which is the biggest value? (a) -4 (b) h (c) -0.4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*g - 13*g + 98*g + 35*g - 32*g - 5*g.\nAnswer: 175*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1541*f + 1541*f + 2*f**2. Suppose 16 = a - 0. Let p(o) = 17 - a*o - 7 - 10. Calculate w(p(j)).\nAnswer: 512*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3955 - 3925. Let a(t) = -t**3 - 4*t**2 - t + 2. Calculate the smallest common multiple of a(-4) and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 39*q - 1053. Let g(i) = -4*i + 105. Let c(p) = 2*b(p) + 21*g(p). Let u be c(16). Factor -8\/7*m + 0*m**2 + 4\/7*m**4 + 8\/7*m**u - 4\/7.\nAnswer: 4*(m - 1)*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -7*u + 102. Suppose 2*y + 790 - 3789 = -u*z, -4488 = -3*y + 3*z. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33)\/77 + (-6)\/(-14). Let k = -0.827 - -0.047. Let x = k + -0.22. Which is the third smallest value? (a) x (b) 4\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1251107 divided by 1251107.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 = -1187*g + 1215*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140275 and 27693?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514 = -49*d + 661 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178712 = -12*a + 1101724. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 475 - 799. Let z = -254 - w. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 410*l**3 - 1. Let j = 8 + -2. Suppose 0 = -y - x - 0*x + j, 2*y - 3*x + 13 = 0. Is g(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*f - 18 - 26, -f = -c - 12. Solve -20*s + 22*s = f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11367519?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 624, 619, 612, 603?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*a**3)*(-a - 2*a + 4*a) + a**4 + 2*a**4 - a**4 - 157*a**3 + 4*a**4 + 157*a**3.\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(12)\/(sqrt(36)\/sqrt(36))*-6)*4*-2.\nAnswer: 40 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a**4 + 43*a**3 - 17*a**2 - 87*a - 18.\nAnswer: -(a - 3)**2*(a + 1)*(9*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1023\/1033?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 5) to base 11\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -83047*z - 13619715. Calculate s(-164).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - (-3 + 7 + -1). Suppose z - 59 = 3*u, f*u - 2*z + 3*z = -85. Let n = u - -29. What is the greatest common factor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 338 and 45745869.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0 + 10 = 2*k, 0 = -5*k - 5*b + 25. Let s(z) be the third derivative of 0*z + 0 - 21*z**2 - z**3 + 1\/4*z**k + 3\/8*z**4. Factor s(m).\nAnswer: 3*(m + 1)*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 13*q - 41. Give h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n - 13*n + 5*n + (2*n - n - 3*n)*(2 + 0 + 0) - 1 + 1 + 2*n + 2*n - 9*n + n to the form r + s*n and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-8 + 9 + 5 + 7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -491 + 535. Calculate the remainder when 306 is divided by z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -15 (b) 3\/14 (c) -0.5 (d) 1\/3 (e) -158.92 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0. Let r = 0.3 + u. Let b = 0.34 - 0.24. Is r less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 + 497*j + 1147. Give u(168).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 1028 = -2*j, -3*j = -5*l + l - 1588. Suppose 6*m - j = 82. Suppose -3*y + 305 = -29*s + 28*s, -3*s = 2*y - 185. Which is smaller: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at most as big as 342.069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 342*y - 342*y - y**2 + 1. Let j(f) = f**3 - 5*f**2 + 2. Give -2*d(g) + j(g).\nAnswer: g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/4, 3.5, 0.08, -0.12, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 2*p = -8, 0 = 4*g - p - 0*p + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (858\/(-78))\/((-1)\/31). What is the greatest common divisor of 31 and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/(-12)*(-2)\/((-20)\/(-15)). Suppose -3*z - 2*f = -62, 6*z + p*f - 38 = 5*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 39*s + 1365 = 0. What is the lowest common multiple of s and 63?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -934, -170, 29.66.\nAnswer: -934, -170, 29.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 0*w + 2*w**2 + 0 - 1\/24*w**4 + 0*w**3. Let k(u) = u. What is x(k(z))?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.1 + 18. Let z = n + 0.3. Let g = 1 - z. Which is the closest to -1\/4? (a) 1 (b) -3\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3*(-1)\/6). Let f be (-39)\/(-15) + r\/(-5). Solve 0 = -f*c + 4*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1331555, 1331619, 1331733, 1331903, 1332135, 1332435, 1332809?\n\"Answer: v**3 + 19*v**2 + 1331535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -395, -1559, -3493, -6197, -9671?\n\"Answer: -385*h**2 - 9*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*j - 83, -2*j - j + 3*c + 39 = 0. Let x be 3\/(-15) - (-18)\/j. Solve 5*p - 21 = -x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 5. Let x be l(5). Let m = x + 43. Let h = m + -8. Calculate the highest common factor of 165 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let r(z) = 16*z. Let n(q) = -r(q) - 20*u(q). Let x(a) be the first derivative of a**2 + 16. What is x(n(k))?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 1:39 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-8)*(9 - (-152)\/(-24)). Solve 0 = v, -11*o + q*o - 10 = 3*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (513\/(-1881))\/(15\/9900*20).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011 plus -48568.16295?\nAnswer: -48568.16185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*((-406)\/28)\/(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 - 73.29. Let j = h - -54.29. Let y = -58 + j. What is the third smallest value in 0.3, y, -0.8, -3?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -40 - 44) + 1 + 1 + 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = z + 3 + 2, -14 = 2*z + 5*w. Find the second derivative of -9*g**3 + 26*g**3 + 13*g**z - 9*g wrt g.\nAnswer: 180*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 s, and 1 i when four letters picked without replacement from sddsidisdssd.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113020 (base 4) to base 3.\nAnswer: -2000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16171? (a) 0.4 (b) -1.4 (c) -1\/2 (d) 3 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)*i*i**(-2\/19))**(2\/133)*(i\/(i**(1\/3)\/i))**(-3\/13)*(i**(7\/5)*i*i)\/(i*i\/i**(-3\/8)*i) assuming i is positive.\nAnswer: i**(-3144563\/9198280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (23 + -68 + 16).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eesel. Give prob of sequence ees.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 3*t**4 - 7*t**2 + 1\/3*t**6 + 6*t + 13 - 2*t**5 + 4\/3*t**3. Let d(p) = 0. Calculate p.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 2, 3 in decreasing order.\nAnswer: 23, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306675564 by 4.\nAnswer: -76668891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/5 - 447*a**2 - 84360*a - 410700.\nAnswer: -3*(a + 5)*(a + 370)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -71 (base 15) to base 14\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -104, -115, -130, -149, -172, -199?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 877 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28, 7, 1.1, 3, 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -137\nAnswer: -6\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5263 or -8253?\nAnswer: -5263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -0.5 (b) 5 (c) 0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 836 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 = 20. Put -1, i, -5 in descending order.\nAnswer: -1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 920.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35615 and 9?\nAnswer: 320535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 26. Solve -5*d + 3*l - 32 = 0, 8 = -2*d - 2*d - u*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 113, 137, 161, 185?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 232 = 34*l - 15*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2109480*x + 922858*x - 5331759*x.\nAnswer: -6518381*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and 1463.4535.\nAnswer: -1609.79885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 5) to base 10\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*b = 49, 4*d - b = 60 - 20 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 10*k + 13. Let v be j(7). Let d be (-91)\/140 + (-6)\/v. Let y = 13.8 + -14. What is the nearest to 3\/4 in y, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -2*b + 2240. Let c = 512 + b. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 8*z + 123*z**3 - 115*z**3 - 2*z**2.\nAnswer: 8*z**3 + 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67932 and 16.\nAnswer: 271728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -1\/4*p**3 - 1\/20*p**5 + 75*p**2 - 1\/160*p**6 - 5\/32*p**4 + 0*p + 0. Factor z(o).\nAnswer: -3*(o + 1)**2*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-19)*o\/o**(-20) assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + 8. Let d = l + -14. What is the remainder when (-1)\/5 - 282\/(-10) is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -45746 and -228737\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 0, 3 in increasing order.\nAnswer: -60, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 694*j = 714*j - 620. Solve -j = 7*k - 45 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1374 and 18.\nAnswer: 4122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 5*q**2 - 3*q + 0*q - 3*q.\nAnswer: 3*q*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*b - 149 + 85 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**11\/d*d\/d**(3\/7))**(-40)*(d**(-7\/6)*((d\/d**(-1\/9)*d)\/d)\/d)**(-35) assuming d is positive.\nAnswer: d**(-58705\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12209*g*j**3*o**3 + 60*g*j**3 + 207*g*j**2*o - g*j*o**2 - 12*j**3*o - 148*j**2*o**3 - 6*j + 17*o**3 wrt j.\nAnswer: 73254*g*o**3 + 360*g - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (1*sqrt(190)*-6 + sqrt(190))) + 1*(sqrt(190) + (6*sqrt(190) - sqrt(190))))\/(3*sqrt(160) - sqrt(1000)*6).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1525 - -310?\nAnswer: 2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:29 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1648 and 47689?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*p + 4*a, -4*p = p + a + 51. Let i be -1 + 2 + 2\/p. Is 2 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2, -35, -3 in descending order.\nAnswer: 5, 4, 2, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -2\/27 (c) 1\/7 (d) -564 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 120396953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 9*k**2 + 7*k + 11. Let i be l(8). Let j = 3 + -3.3. Which is the closest to -0.1? (a) j (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 2, 5, -1271490 in descending order.\nAnswer: 81, 5, 2, -1271490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12797?\nAnswer: 67, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1244 and (-60)\/(-48) + (-2061)\/612?\nAnswer: 21148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9122547 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.85243 years in decades?\nAnswer: 6.085243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -645 - -1167. Suppose 2*o - f = -o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4177*v - 50123. Suppose -12 = -k - 2*k, -5*k + 25 = 5*a. What is the remainder when a is divided by t(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**4 + 10*q**3 + 10*q**2 - 6. Let r(x) = -x**4 + x**3 + x**2 - 1. Let v = 18 + -24. Let d(j) = v*r(j) + f(j). Factor d(k).\nAnswer: k**2*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*o**2 + 45*o**2 - 33*o**2 + (0*o - o - o)*(-3*o - 3*o + 4*o) + 2 - 2 + 2*o**2.\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g + 2*j + 1204, 2*g - 790 = -5*j. Suppose -g - 440 = -12*c. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1230, 0, 5, -2, 18 in increasing order.\nAnswer: -2, 0, 5, 18, 1230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + -4 + 2 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 446 + -303. Let f(w) = w**2 - 9*w + 10. Let d be f(7). Let n be d*(-3)\/12*13. Calculate the greatest common divisor of n and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30196 + -16938. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5*p + 5, -p + 2*p + v = 3. Suppose p*q + 4*c = 3*c + 13, -4*q + 3*c + 11 = 0. Solve q*r + 12 = -4*m + m, 5*m + 10 = -5*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -742.\nAnswer: 2\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.0409, 26.12, -1 in descending order.\nAnswer: 26.12, -1, -1.0409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 3*u - 3. Let s(b) = b**2 - b - 1. Let f(m) = -d(m) + 3*s(m). Factor f(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*c - 32 = -152*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1933646*j**3 - 154503 wrt j?\nAnswer: -5800938*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, t: 1, i: 1, e: 2}. What is prob of picking 2 y, 1 e, and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/4)\/((-5)\/(-25)). Suppose -3*n - t*g - 1432 = -3*g, -2*n - 5*g - 973 = 0. Let u = n - -3771\/8. What is the common denominator of 57\/10 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a75e (base 16) in base 12?\nAnswer: b66a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 150.951l?\nAnswer: 150951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -8, -4 in increasing order.\nAnswer: -8, -4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*f + 34480, -3*a - 3*f + 12341 + 39397 = 0. What are the prime factors of a?\nAnswer: 2, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1015 + 11155\/11. Let f = k - -79\/99. Let d = 2\/997 + 5972\/4985. Put d, f, 0 in ascending order.\nAnswer: f, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 26 = 3*w. Suppose -2*s + 390 = 13*s. Let z = s - w. Put z, -2, 3 in descending order.\nAnswer: 3, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -40*a**3 + 4*a - 95. Let u(m) = 40*m**3 - 6*m + 96. Let f(v) = -4*d(v) - 3*u(v). Differentiate f(c) with respect to c.\nAnswer: 120*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -0.13?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 19*h - 40. Let d be l(-13). What is the highest common factor of d and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1412*v**2. Let j(b) = 10319*b. What is j(o(c))?\nAnswer: -14570428*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*s - 20, -2*c = 4*s - 3*s - 5. Suppose 5*m + 0*m = -z + 27, 3*m = -c*z + 23. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 1 + 9 - 116*b**2 + 114*b**2 - 15*b - 1 as d + n*b + x*b**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*n - 3. Let x be 1\/(-2)*n*3. Suppose -3*u - 21 = -k - x, -4*k + 4*u = -36. Solve 3*v - v + k = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxd when three letters picked without replacement from {x: 1, h: 4, v: 2, a: 3, d: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 5*w + 8, 0 = 4*b - 2*w - 9 + 1. Let a = 8 - 6. Suppose 0 = a*d + 2 - 8. Put d, b, 0 in ascending order.\nAnswer: 0, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w. Let n be 3\/(-7) - (-20)\/14. Let z(b) = -5 + 7*b + n - 6*b. Calculate z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**10\/180 - 13*z**6\/360 - 13*z**3 - 26. Let q(n) be the third derivative of r(n). Find the third derivative of q(y) wrt y.\nAnswer: -3360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 13. Let u be 357 - 1 - (2 - (4 - -3)). Let k be (-10)\/(-8) + u\/76. What is q(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/30 and -89\/165?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1279*o + 131*o - 1563*o.\nAnswer: -2711*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/5 - (-14)\/5. Let m be (-21)\/15 + (r - 2). Let p = -2.268 + 2.368. Which is the nearest to m? (a) -0.5 (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u = 55*u - 87100. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6257\/2 + -3128. Let d(s) be the second derivative of 0 + 5*s + 0*s**2 - 1\/6*s**3 + 0*s**4 - f*s**5. What is the second derivative of d(u) wrt u?\nAnswer: -60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, 11, -5 in increasing order.\nAnswer: -5, 0, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by (-90)\/12*2\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.41493415*-16.\nAnswer: 6.6389464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65290529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 57894*u + 142. Determine w(0).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036276 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in -1, 3, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*n + 444 = -65*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 12 = -l. Let q be (-9)\/(-15) - 2\/(-5). Let u(g) = -39*g + 7. Let d(t) = 10*t - 1. Let c(i) = q*u(i) + 4*d(i). Calculate c(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllz when four letters picked without replacement from {l: 2, z: 2, c: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 98, 138?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -7. Let r(b) = b**3 + 10*b**2 - 12*b - 13. Let i be r(-11). Is (i\/x)\/((-2)\/(-114)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -21\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 664414069*h + 271137352 wrt h?\nAnswer: 664414069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10254642*b - 7118387.\nAnswer: -10254642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11976, 11697, 11418, 11139, 10860, 10581?\n\"Answer: -279*r + 12255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -358, 0.3, -13, 676\/5 in descending order.\nAnswer: 676\/5, 0.3, -13, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezzz when four letters picked without replacement from zzezzzeezeezee?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2, -0.2, -0.3, -0.08955?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55965 and 2100?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llkkkkkkkk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -194.81 + 0.81. Let x = 193.975 + i. Which is greater: 0.2 or x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -24?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(-7 + 1 + 5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2751 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 5*d - 2*r, -1 = -4*r - 13. Let h = 2 + d. Let t = h - -10. Is t at most as big as 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 + 0.5. Let v = -0.4 - a. Let r(n) = n**2 + 8*n - 1. Let b be r(-8). What is the closest to b in v, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -3 + 0*n + 6*n**2 + 231\/4*n**4 - 147\/5*n**5 - 32*n**3. Factor p(x).\nAnswer: -3*x*(x - 1)*(7*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*l = 1, 10 = -5*z - l - 6. Which is the smallest value? (a) -2\/5 (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0814877764 to five decimal places.\nAnswer: 0.08149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + c**2 - 13*c. Let u(n) = 7*n**3 - 13*n**2 + 4691*n. Let r(f) = 2*g(f) - u(f). Find the second derivative of r(h) wrt h.\nAnswer: -30*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxyelxzxeeyx. Give prob of picking 1 x and 2 e.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.16*-2.3\nAnswer: 0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25 (b) 0.4 (c) -0.2 (d) 2 (e) -411\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w + 76*w + 15*w + 30 + 83*w + 5.\nAnswer: 184*w + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 9. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(66668\/42858)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7\/(w**7\/w))**(-28)*(w\/w**(3\/8))\/(w*(w*w*w\/(w*(w*w\/w**(-3\/5))\/w*w))\/w)*w**0\/(w*w*w\/((((w\/w**4*w)\/w)\/w)\/w)) assuming w is positive.\nAnswer: w**(-1391\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 - 5 - 22*p**4 + 9*p**4 + 2*p + 11*p**4 + 2*p**2 as u + r*p + y*p**4 + h*p**3 + w*p**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*s + 20*s - 17*s + 22*s to the form f*s + n and give f.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*m + 397*m = -60 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 4:29 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5763588 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2\/3*v + 2\/3*v**3 + 0 + 0*v**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 0*z = 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3733219 is divided by 1098.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 27. Suppose -7*i - 14 = -a*i. Find the second derivative of 12*x + 0*x**i + 0*x**2 + 10*x**4 wrt x.\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5421*x - 25 = 5420*x + o, 0 = 4*x - o - 40 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(18\/7)*(u*u**(-8)*u)\/u**(-6\/11) assuming u is positive.\nAnswer: u**(-60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -791*-24563\nAnswer: 19429333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3711)\/4948 + (-122)\/8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8652790.\nAnswer: 2, 5, 19, 45541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 39*f + 3. Let i be g(19). Is 13\/((-182)\/(-567))*i\/(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1246\/(-3))\/(4\/(-26)). Let t = 2675 - d. Calculate the common denominator of (-22)\/((-20)\/(-50)*10) and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2130 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*g**3*l**2 + 993*g**3 + 107*g**2*l**2 - 2*g*l - 110*g + 4181*l**2 + 2*l wrt g.\nAnswer: -96*g*l**2 + 5958*g + 214*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/118963 + -7971319\/47466237. Calculate the common denominator of t and 85\/28.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16621 + 16871 = 50*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 1\/6 (b) 5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 14*t + 26. Let y be p(-2). Solve -3*c - 2*v = 0, -c - 4 = -0*v + y*v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 196 = -45*j - 314 - 1153 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4401.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*i - n, 4*i - 39*n + 8 = 3*i + 4*i - 44*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -17, 2, -2\/3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {q: 7, s: 3, x: 9}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15 = 0, b + o = -3*o - 3. Let a(x) = -4*x**2 + 23*x + 11. Calculate the remainder when b is divided by a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 12:47 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 5*f**2 + 6*f - 6. Let q be d(-5). Let w be q\/(-21) + 6\/21. Is w at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 0*i - 6*i**3 + 1 + 18*i**3. Let w = -3181 - -3182. Give x(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*l - 1. Suppose 0 = 2*i - 9 + l. Let f(o) = 2*o - 4. Let x be f(5). Solve 0 = -5*v + 5*h, -4*h - 8 = x*v - i*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**3 - 6*f**2 - 5*f + 4. Is p(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (13 - -12) - (-2 + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -528228.60529.\nAnswer: -528229.10529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35032849 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -16 - 8 + 9 + 3*c. Let k be t(7). Suppose -31 = -k*z - 7. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9796 and 13764?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 81440*l**4 - 10*l**2 + 12265 wrt l.\nAnswer: 325760*l**3 - 20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**4 + 3*t**4 - 4*t**4 + (-3 + 3 + 2*t**3)*(0*t + 2*t - 3*t) + 2*t**4 - 21*t**4 + 2*t**4 to the form r*t + o + g*t**4 + n*t**2 + d*t**3 and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13244 + -4?\nAnswer: 13240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p + 22. Let v(q) = 37*q - 5. Let s be v(1). Let r = s - 26. Let k be j(r). Solve -k*b + 2 = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n + 2. Let y(o) = 11*o + 3. Let v(q) = -8*m(q) + 5*y(q). Determine v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-267 + 548 - 281 + 21199*q)*(0*q + q + 0*q)*(3 + 3*q - 3).\nAnswer: 63597*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = l + 23, 2*l + 1573*t = 1574*t - 34 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194268 is divided by 2206.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 871081 and 821?\nAnswer: 871081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/11)*o**(-8)*(o**(1\/3))**(-42))**(-20) assuming o is positive.\nAnswer: o**(4880\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppo when three letters picked without replacement from vjjjpdpjddpotjd?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + 46 + -26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l**4 + 5*l**3 - 21*l**2 - l - 5189.\nAnswer: -60*l**2 + 30*l - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -82. Find the third derivative of -13*z**2 + 5*z**3 - 10*z**3 + y*z**2 - 24*z**3 wrt z.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45525998?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98\/139 or 0?\nAnswer: 98\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112 - -86) + (-6 - -5 - 4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 520, 2045, 4594, 8173, 12788?\nAnswer: 18445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - 1508\/143*-2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/12)\/(1\/9). Let o = w + -34. Which is smaller: -3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g + 72 = 0. Let r = 11 - g. Let f be (-1 - r\/21)*3. Is 2 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -421 - -462. Suppose -3*y + y - 6 = 0. Let t = y + 18. What is the remainder when z is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 35*t**2 - 60*t**2 + 29*t**2 - 3*t + 3*t. Suppose 2*k - 4*j - 16 = 0, k - 2*j = 2*k + 4. Let d(y) = 4*y**k + y**2 + y**2. What is d(f(u))?\nAnswer: 96*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 + 3 + (-2 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4009.0589 rounded to the nearest integer?\nAnswer: -4009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -374, -373, -366, -347, -310, -249, -158, -31?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r - 12. What is the remainder when q(-7) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5\/4, -5, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from {q: 8, t: 4, m: 1, d: 1, z: 1, c: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6386 - 4683143331.\nAnswer: -4683143330.3614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*a - 23 - 49 - 58 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -7*g**4\/12 + 6184*g - 1. Let m(i) = 4*i**2 + 19. What is d(m(y))?\nAnswer: -112*y**4 - 1064*y**2 - 2527","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1192218 and 804054?\nAnswer: 34574322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 181 + 395 = 154 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -7.25\nAnswer: 36.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 22 = -4*r, 4*b - 2*r = 18. Suppose 2*w + b*w = 60. Factor -60*p - p**4 + w*p**2 + 2*p**4 + 14*p**4 - 20 + 50*p**3.\nAnswer: 5*(p - 1)*(p + 2)**2*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 11:53 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1772223475?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 3*u - 0, -3*u = -3*c - 3. Let x = 1 + u. Solve -3*s + 6*s + 9 = x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 3, -4, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(847) - (2 + sqrt(847) + -1)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45946 minus 719528?\nAnswer: -673582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 3*i**2 + i**2)*(5*i**3 + 3 - 2 + i - 3*i**3).\nAnswer: -2*i**5 - i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -502*s**5 + 7*s - 29 wrt s?\nAnswer: -10040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (26\/(-3))\/(34\/(-6) - -5). Suppose y - 17 = -t. Solve -a + 6 = -y*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) - (-3 - 80\/(-36)). What is the nearest to -0.03 in v, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*x**3 - 9*x**3 - 4*x**3 + (1 + 1 + 1)*(-2 + 2 + x)*(5 - 3*x**2 - 5) - x - x**3 + x in the form p + h*x + n*x**3 + z*x**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 98, 142, 206, 296?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 48443 and 48444 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 8*a - 13. Let x be j(10). Suppose u - x*u = 6. What is the units digit of (-1)\/(-2)*(-6)\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32596*u**3*w**5 + 158*u**3*w**2 + 3*u**2*w**2 + 18*u**2 wrt w.\nAnswer: -1955760*u**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1 = f, 0*o - 28 = -3*o + 5*f. Let l be o*15\/(6\/2). What is the highest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l - 28. Let t be z(2). Let s(u) = -u**3 - 8 + 6 + 3*u - 2*u**2 + 5*u. Let p(m) = 2*m**3 + 5*m**2 - 17*m + 5. Give t*p(f) + 5*s(f).\nAnswer: -f**3 + 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/8 + -1\/4. Find the common denominator of -1*(2 - (-556)\/24) and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -3172, 3, -1, -5 in ascending order.\nAnswer: -3172, -5, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-5)*(-4 - -2). Let a(w) = -9*w - 2. Is a(g) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 121, 5\/6, -1.\nAnswer: -1, 5\/6, 3, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.3 + -0.3. Let z be (-1659)\/(-474)*1\/(-7). What is the fourth biggest value in m, 0.3, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -12*i**2 + 7*i - 84. Let u be c(-13). Round u to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9196*z - 1 + 0 + 7544*z + 1 in the form h + n*z and give n.\nAnswer: -1652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 334, 662, 996, 1336, 1682, 2034?\n\"Answer: 3*j**2 + 319*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/(2\/3). Let o be y - -1 - 4\/(-2). Solve 3*t + o*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 4*t - 77199, m - 3*t - 15532 = 10227. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.136 and 2971?\nAnswer: 2971.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1524 - 779. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 222, 221, 220, 219, 218, 217?\n\"Answer: -f + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6924*h + 6912*h - 20763*h + 6927*h - 3*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 926640?\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3839423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 smaller than 70208\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 473412 - 473412 + 175*j - 3021*j to r + l*j and give l.\nAnswer: -2846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309795039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1994417944 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + g - 1. Let x(v) = 66*v**3 + 6*v - 6 + 0*v - 151*v**3 + 68*v**3. Give -x(b) + 6*z(b).\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45250 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.136 * -0.082.\nAnswer: -0.011152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6476995117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/123926 and -13\/64627409.\nAnswer: 129254818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -204740 and -0.0229.\nAnswer: 4688.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1592399801.\nAnswer: 1592399801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 409 or 8321\/31?\nAnswer: 8321\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2807 + 259 = 7*t. Suppose -m = y - t, 2*m + 1304 = 5*m - 2*y. List the prime factors of m.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*j + 35, 4*j + 0*s + 43 = s. Is j\/(-30) + 2\/10*558 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*4\/22*(-2)\/42?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2624350 and -27.\nAnswer: -70857450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 7*k**4 - 2*k**4 - 2*k - k**3 + 4*k**3 + 2*k**2 in the form d*k**2 + c*k + v*k**3 + x + h*k**4 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -2, -1, 3, 0 in increasing order.\nAnswer: -2, -1, 0, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 746 divide 12932656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*p + 721 = -p, o - 723 = 2*p. What are the prime factors of o?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592966 at least 6522638\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + v - 507 = -508, -t + 3*v + 3 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from jiiiiji?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -57*f + 272. Give l(6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*g + 1390 = 263 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/9)\/(f**(5\/7)*f)*f**8\/f**(-3\/2) assuming f is positive.\nAnswer: f**(967\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44071 + 44349 = 14*i + 21430. Is i a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2. Let s(z) be the third derivative of -845*z**4\/24 + 3*z**2 - 16*z + 2. Give g(s(y)).\nAnswer: 2856100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmmcowvoc. Give prob of picking 1 c and 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -5. Suppose d*w - 3*w - 20 = -x, 0 = -x - w + 16. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 898.3582m?\nAnswer: 898358200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.62 rounded to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*(-1 + (sqrt(147) + -3)*-6 + 2 + 0)*6)**2.\nAnswer: -2068416*sqrt(3) + 7326288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83427?\nAnswer: 3, 27809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 bigger than -45\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*g + 60 - 28 - 32 to the form t*g + j and give t.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -698410000 to the nearest 1000000.\nAnswer: -698000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111680 is divided by 27918.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:12 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in -0.3, 4, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24931\/3 - -8312. Which is the fourth smallest value? (a) 4 (b) 7 (c) j (d) 2\/5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*h + h + 12*h + 5*h.\nAnswer: 39*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from qppbpdq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*u + 5. Let x be (-6)\/24 - u\/(-8). Is 1\/6 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**2 - w - 1. Let j(a) = 5*a - 9*a + a - 1 + 5*a + 3*a**2 + 3. What is -4*d(b) - 3*j(b)?\nAnswer: 7*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 633\/1477 - (-202)\/(-14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 29. Suppose -32*d = -8*d - 48. Suppose -4*k + 5*w + 62 = 0, d*k - w = -0*w + 34. Calculate y(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -516 times 18129\nAnswer: -9354564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 786784763 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40\/7, -3, 1\/366, 3\/7 in descending order.\nAnswer: 3\/7, 1\/366, -3, -40\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1247\/30 + 31\/15. Calculate the common denominator of 21\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-1590)\/(-9) - (4 - (-30)\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l = -27*l + 54 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.66 (b) -2\/59 (c) 47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -32111?\nAnswer: -32112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -599*w**4\/4 + 1379*w**2 - 1294. What is the second derivative of i(n) wrt n?\nAnswer: -3594*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 46*v**2 - 47*v + 7. Let t be o(47). Which is the closest to 1\/3? (a) 1\/7 (b) -2\/9 (c) t (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-360) - (-186)\/(-496).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*v + 16594, 4*v - 16598 = -5*n + v. List the prime factors of n.\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11791 = -10*a + 3409. Is 38 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 164 = -p. Calculate the remainder when p is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 598957852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6433*m**3 + 84*m**3 + 48470*m**2 - 48470*m**2)*(3 - 4 - 1) to l + n*m**3 + h*m**2 + b*m and give n.\nAnswer: -13034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -173 - -26?\nAnswer: -14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**0\/c))**(4\/9)*((c**(-2)*c)\/c)**24)\/(((c**2*c)\/c)**(-29)\/(c*c*c**(1\/4)*c)**(-33)) assuming c is positive.\nAnswer: c**(-3469\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - 21\/(-3) - 6) + (-14289)\/2970 and -1 + ((-47)\/126)\/1.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3388992614 - -3388992706.99999844. Let a = j + -93. What is a rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f - 3*f**2 - 2*f - 6 + 9*f = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 - 2389*f**3 - 6*f**5 + 2389*f**3 + (4*f**2 + f**2 - 4*f**2)*(0*f**3 - 4*f**3 + 2*f**3).\nAnswer: -8*f**5 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.38 and -3.\nAnswer: 25.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from {s: 11, o: 2}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 - 1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**3\/3 - 2*r**2 - 2*r - 8. Determine s(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -173*t + 45. Let k(c) = 5*c. What is k(l(v))?\nAnswer: -865*v + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.76969 nanoseconds in milliseconds?\nAnswer: 0.00002776969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = 0, -3*q + 17 = -0*q + n. Find the third derivative of -4 + 4 + 30*b**q - 6*b**2 - 27*b**5 wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -42*2\/(-4) + 5. Let i be -62*(-2)\/k + -4. Is i greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.34.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 6. Let s(z) = z + 3. Let y be s(w). Sort -3, -4, y in decreasing order.\nAnswer: y, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010200102 - 21?\nAnswer: 1010200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22516750 (base 8) to base 12.\nAnswer: 1779ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 162866860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 354348 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -3*h - 35. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.0173 + -0.0173. Which is the second biggest value? (a) 1 (b) 3 (c) -0.007 (d) p (e) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*5\/(-15) + 53. Let r = -46 + g. Solve r = -2*j - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 795*x + 9*x**3 + x**3 - 795*x.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, l: 2, z: 4, f: 1, b: 2}. What is prob of picking 2 l, 1 z, and 1 n?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -8829, 9676 in ascending order.\nAnswer: -8829, 7, 9676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c + 4*c - 3416 + 8927 - 3416 - 2095.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 52656620*q + 138635981491220.\nAnswer: 5*(q - 5265662)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-5 + 2 + 4)) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 5:09 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:32 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -5174, -5, -1, -4 in decreasing order.\nAnswer: -1, -4, -5, -7, -5174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-6 - -4 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22655 + -44?\nAnswer: -22699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*i + 5 = -116*i + 50*i - g, -5*i + 4*g = -5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7613293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443.5021 tonnes to nanograms.\nAnswer: 443502100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-312)\/32)\/(-3)*12\/78.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 47*j**2. Let u(t) = t. Determine u(n(r)).\nAnswer: 47*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**7*o*(o**(-1\/29)*o)\/o)\/((o\/((o\/((o*o\/(o*o\/o**(-4\/25)*o)*o)\/o))\/o))\/o**(4\/5)))**29 assuming o is positive.\nAnswer: o**(7921\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rywvjjrw. What is prob of sequence wyw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24879 - -3060086\/123. Find the common denominator of n and 76\/1353.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115351 (base 7) to base 9.\nAnswer: 31851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14673*y + 266569 = -6*y - 1245368 for y.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1226674010 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*h - 90 + 279 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -6. What is the second derivative of 4*f**5 - 8*f**5 - 2*f - 2*f + y*f**5 wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22.8, 3, 0.09, 1.5, -3\/2, -0.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -158*g**2 - 166*g**2 - 2*g**4 + 324*g**2 + 97*g + (-2 - 3*g**2 + 2)*(-1 + g**2 + 1).\nAnswer: -5*g**4 + 97*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57949 and 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dswwwsw. What is prob of sequence sd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 4*m + 4. Let z(a) = a**3 + 10*a**2 + 7*a - 13. Let h be z(-9). Let j be n(h). What is the units digit of ((-45)\/j)\/((-1)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 13) to base 5\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 4)*(6*o + 24*o + 0*o) + o - 3*o + o + (2 + 2 - 2)*(o - o + o) - 3*o + 5*o + o + (-o - o + 4*o)*(-3 - 3 + 5) to i + s*o and give s.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6\/z**(-3\/22) assuming z is positive.\nAnswer: z**(135\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 - 0.018.\nAnswer: -108.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/17)*a\/(a\/(a*a*a**3\/a)))\/(a**(-2)*((a\/a**(3\/4))\/a)\/a)*a**(-3)*(a*(a\/(a\/a**(-7)))\/a)\/a*(a*a*a\/(a\/a**(2\/3)))**(-4\/27) assuming a is positive.\nAnswer: a**(-19429\/5508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 8*t**2 + 32*t - 6. Determine c(12).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -897 * 6.\nAnswer: -5382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2741330 and 210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -170 + 238. Let c = o - 28. Suppose 5*p = -15, -s + 4*p + 129 = c. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**5 - 6147*a**4 + 2*a**2 + 1412?\nAnswer: -180*a**2 - 147528*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 1. Let c be g(-4). Suppose -3*h = -4*y + 26, h - 5*h = y + c. Solve q - y = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5649 divided by -16?\nAnswer: 5649\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*12\/(-24)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 18*l. Let n(d) be the second derivative of d**4\/6 - 59*d**3\/6 + 3*d + 245. Give n(m(a)).\nAnswer: 648*a**2 - 1062*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/9)\/(2\/(-18)*-1). Let v(n) = n - 1 + 4 + n. Determine v(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-9))**25 assuming a is positive.\nAnswer: a**(-225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1 - 2)\/1. Suppose -4*g - 19 = -2*s - 3*s, s + 2*g - 1 = f. Let x be 1\/s - (-6)\/9. Sort x, 5, 2 in decreasing order.\nAnswer: 5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60410, -120745, -181004, -241187, -301294, -361325?\n\"Answer: 38*g**2 - 60449*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30511 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64566156 is divided by 949502.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-176)\/(-20) + -8)\/(26\/325)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/2 (b) 31\/3 (c) 0 (d) -0.3 (e) 6547\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -2*h + 10. Suppose 0 = 4*p + 2*p. Solve 2*c - h*c - 12 = p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -138*j + 4. Let q be k(-6). Suppose 0 = 8*v + 5*v - q. What is the remainder when v is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 5*a**2 + 4*a - 6. Give l(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - -3. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v + 20. Let i(f) = v + 0*f + 2*f - f + 0*f. Let t be i(-5). Solve t*z - z = 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 12 = -24. List the prime factors of 4 - (i + (-3)\/(-3)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and 8?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -92, -168, -242, -314, -384, -452?\n\"Answer: t**2 - 79*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 2778210*h**3 + 385891978685*h**2 - 8490632047920*h + 46700325235520.\nAnswer: 5*(h - 11)**2*(h + 277832)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 82119 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab61 + b?\nAnswer: -ab54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6*j. Solve 4*c + 24 = 4*f, -4*c - 15 = -f - j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j + 512666 = 513426 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11074*i**3*p**3 + 5*i**3*p + 3*i*p**3 - 2*i*p**2 - 513*p**2 wrt p?\nAnswer: -66444*i**3 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 14*s - 10*s - 4232, 0 = 4*n - 8. What is the highest common divisor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**3*q**2 + 30041*m*q**2 - 58656*q**2 wrt m.\nAnswer: 6*m**2*q**2 + 30041*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**2*s**4 - 4*m**2*s + 23*m**2 + 30674*m*s**5 + 148*m*s**2 wrt s?\nAnswer: -72*m**2*s + 1840440*m*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4\/9 - 4*c**3\/9 + 40*c**2\/9 - 32*c\/9 = 0. What is c?\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -83, -156, -211, -242, -243, -208, -131?\n\"Answer: v**3 + 3*v**2 - 89*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, u: 4, g: 1, y: 10}. Give prob of picking 1 v and 1 u.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 9*x**2 - 15*x - 5. What is i(8)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/4199 and -55\/9096649?\nAnswer: 118256437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 22*p**3 - p**2. What are the prime factors of y(1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 12868*j**3 + 12877*j**3 + 12871*j**3 - 38622*j**3.\nAnswer: -6*j**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -930 bigger than -931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*u*v**3 - 2*u*v**2 + 26146*u - 3502211*v**3 wrt u.\nAnswer: -38*v**3 - 2*v**2 + 26146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 5 (b) -0.2 (c) -5 (d) -147 (e) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -303\/2 - -153. Let f(o) be the first derivative of 3\/4*o**4 + 0*o - 1 + 0*o**3 + z*o**2. Find the second derivative of f(s) wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.217 to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**2 + 3*v + 2. Let m be j(-1). Let t = m + 13. Suppose 0 = p - 9 + t. Solve p = -s - s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7533096 to the power of 1\/2, to the nearest integer?\nAnswer: 2745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u**3 + 14*u**2 - 30*u - 311. What is s(-7)?\nAnswer: 4358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-4032)*24*(-36)\/111?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 375 and 7315290?\nAnswer: 182882250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttjutjuttjjujmjtjmm. What is prob of sequence mmum?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 3\/2, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (36\/144)\/((6\/(-56))\/3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13b (base 13) to base 16\nAnswer: -db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*v + 73, -v = -3*o - 6*v + 107. Suppose -4*m = -20, x - 4*m - o = -3*x. Calculate the greatest common factor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -642 by 5.\nAnswer: -642\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-150987)\/24 - 3\/(-24). Let f be ((-2)\/(-9)*-3)\/((-18)\/i). Let p = -1177\/5 - f. Are p and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2. Let i(q) be the first derivative of 0*q**3 + 0*q - 1\/2*q**2 - 1\/12*q**4 + 4. Let h(o) be the second derivative of i(o). Calculate h(z(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nooorosronooooorrro. Give prob of sequence so.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 633*l + 6327. What is u(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4987, -4986, -4975, -4948, -4899?\nAnswer: -4822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 12*a + 5. Give t(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - p = 21, -21*p = 5*m - 26*p - 45 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 155*g. Let p(z) = -617*z**2. Determine p(o(v)).\nAnswer: -14823425*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5258*y**2 - 44*y**3 + 85*y**3 + 0 - 5357*y**2 - 42*y**3 + 0.\nAnswer: -y**3 - 99*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -236*o + 1. Let s be (-6)\/24*(-16)\/(-4). Is x(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 - b**2 + b**2)*(224*b + 45*b - 59*b).\nAnswer: 630*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -1 - -38 - 4\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3 - 5*v + 2*v + 4*v + 3*v. Calculate k(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 8:16 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 + 2*r**2 + 63*r + 3*r - 2*r**2 - 1 - 74*r in the form z + x*r + b*r**2 + j*r**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -89538c?\nAnswer: 895388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 11921 + 17679. List the prime factors of p.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 2191?\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 5*r**2 + 4*r + 3. What is the units digit of c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 798, 0.4, 1\/3, 0.16, -4, 2\/7, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(25)\/sqrt(245) - sqrt(180)*4) + -1).\nAnswer: -835*sqrt(5)\/7 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-9 - (2 + -1)). Let l be 17\/3 + w\/12. Let c = l + 0. Solve 1 = -c*q - 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/58 and -40\/203.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.64 - -7.14. Let r = 2 + 3. Which is the third biggest value? (a) g (b) -0.3 (c) r (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 6*i**2 + 3*i - 6. Calculate the lowest common multiple of l(6) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - i**2 + 1. Let f = 0 + 2. Let b be c(f). Suppose -3*y - g = -0*g - 35, 0 = -4*y + b*g + 53. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448080?\nAnswer: 2, 3, 5, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-45)*108\/78?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 h when four letters picked without replacement from {j: 4, h: 4, l: 3}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5685 = -5*k - 5*h + 3*h, -5*k - 3*h = -5680. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + 2*g**5 - 2*g**5 + 19428*g**4 - 19428*g**4 + 1862*g**5 + (g**5 - g**3 + 0*g**5 - 2*g**5)*(3 - 5 - 1).\nAnswer: 1863*g**5 + 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (1 + -1)) + 107 + -100?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 11:28 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4442835, 8885679, 13328523, 17771367?\n\"Answer: 4442844*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 18*s = -546. Which is bigger: s or -40?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 5, p: 9}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1900.0108 + -1900. What is the closest to -0.2 in 4\/9, s, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f + 4 = 0. Let q(i) = i**3 + 14*i**2 - 16*i - 13. Let v = -31 + 16. Let t be q(v). Solve -4*z + 4*p = f, 4 = t*z - 6*z - 5*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by 3\nAnswer: 83\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 1792 and 5.\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/9, 1\/18, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/69771 and -29\/69771.\nAnswer: 69771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*u**5*z**3 + 3*u**5*z**2 + 2*u*z - 6*z**3 + 7 wrt u?\nAnswer: -900*u**3*z**3 + 60*u**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 80?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64009.63l?\nAnswer: 64009630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 3*t**5\/20 - t**4\/2 - 3*t**3\/2 - 7*t. Factor p(l).\nAnswer: 3*l*(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-18)*g*g)*g*g**(-21))\/(g**(11\/5)*g\/g**(-1\/26)) assuming g is positive.\nAnswer: g**(-811\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124331734?\nAnswer: 2, 2251, 27617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3 + 7. Let s be (-4)\/(-14) + (-443)\/7. Let h = 695\/11 + s. Which is the nearest to -1? (a) -0.2 (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i + 104 = -6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u + 58. Suppose 0 = 9*h - 5*h - 104. Let g = u - h. Solve d + g*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612984.\nAnswer: 2, 3, 25541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkkkkkkkw. Give prob of picking 1 w and 2 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-10 - -10)) + (-9 - (-7 - 7)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(6655)*5)\/(sqrt(180)*-2 - ((sqrt(60)\/(sqrt(12) + sqrt(12)*1) - sqrt(5)) + sqrt(5))))**2.\nAnswer: 21296\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 78, 5 in decreasing order.\nAnswer: 78, 5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 30. Which is the nearest to 8? (a) 4 (b) y (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -19*k**6\/8 - 38*k**3\/3 - 1015*k**2. Let f(y) = 19*y**3 + 5. What is -76*f(q) - 5*m(q)?\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37252, -74503, -111754, -149005?\nAnswer: -186256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5)**(-2)*q\/q**5*q\/(q\/(q\/(((q\/(q\/q**(1\/18)))\/q)\/q))))**(-7) assuming q is positive.\nAnswer: q**(1393\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.1 - 1.1. Let x = 7 - w. Which is the nearest to 2? (a) x (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, b: 2, o: 3}. What is prob of picking 1 y, 1 o, and 2 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = g + 6 - 3, -3*z + 3*g - 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 12198 = -2097. What are the prime factors of b?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 4543088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2908.7421 take away 0.7018?\nAnswer: 2908.0403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -201.91 - 0.09. Let o = 284 + p. Let v = 82 - o. Sort -3, -6, -5, v.\nAnswer: -6, -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13 and -512.\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 15. Let j(a) = 14*a**3 + a**2 + 4*a - 5. Calculate the remainder when j(1) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, -0.4, -7, -75, 0.1 in descending order.\nAnswer: 0.1, 0, -0.2, -0.4, -7, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 10. Let l(z) = -y*z + z - 4*z + z. Let d(u) = 2*u. What is l(d(m))?\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16915 * 21975.\nAnswer: 371707125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 4:50 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 75*n + 1115. List the prime factors of c(14).\nAnswer: 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294421459.\nAnswer: 23, 1489, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -924 by -231.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5177 + 5217. What is the remainder when 869 is divided by c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-106)\/(-477)*9\/(-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23372563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4694720050 to the power of 1\/2, to the nearest integer?\nAnswer: 68518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 + 2*w - 2*w - 34.\nAnswer: 4*w**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62826 and 2433234.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 32*t - 16 - 4 + 16 in the form o*t + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44\/31 - -295\/186. Let l(g) be the third derivative of -12*g**2 + 4\/3*g**3 + 0 + p*g**4 + 0*g - 1\/30*g**5 - 1\/120*g**6. Solve l(u) = 0 for u.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 - 29028*h**2\/5 + 105328098*h\/5.\nAnswer: 2*h*(h - 7257)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 662177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zszc. Give prob of picking 2 z and 1 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 294.8 - 295. Sort n, 3, 0.1, 0.5 in descending order.\nAnswer: 3, 0.5, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1677 is divided by 228.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(32)\/sqrt(4)) - (sqrt(17) - 4*(sqrt(68)\/sqrt(4))**2).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-42 - -18) + 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -289*g**2 + 646*g - 361.\nAnswer: -(17*g - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*k**5 - 160*k**4 + 3772*k**3 - k**2 + 51172659*k wrt k.\nAnswer: -2040*k**2 - 3840*k + 22632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 222 - 168. What is the second derivative of 25*h**5 - 40*h + 73*h - u*h + 2*h**2 wrt h?\nAnswer: 500*h**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -4 + -2 - (-6 + 20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13855 - -9493. Is (0\/(-7) + -2)\/(4\/w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z**2 - 4*z - 6. Let x be k(-4). Let u = -23 - x. Let l = -15 + 34. What is the greatest common divisor of u and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*t + 2*w, 40 = -5*t + 4*w + w. Let i be (-3 - (-226)\/t)\/(1\/(-6)). Let p = i + -240. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520512 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a**3 + 2*a**2 - 2*a + 1. What is the smallest common multiple of x(1) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821 is divided by 69?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20.34, 5, 4, 2\/13, 0, -9\/359 in decreasing order.\nAnswer: 20.34, 5, 4, 2\/13, 0, -9\/359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -142322066 >= -142322069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.464915 micrometers to centimeters.\nAnswer: 0.0002464915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1625659828.\nAnswer: 2, 13, 191, 163679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.678 and 13.25.\nAnswer: 7.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**5 - 14*t**4 - 16*t**3 + 26*t**2 + 24*t = 0?\nAnswer: -1, 0, 3\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/64*-200*(1584\/(-45))\/11?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 e, and 1 w when four letters picked without replacement from {e: 2, f: 1, w: 1, n: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 + 14)*(-1 - 1 + 1)*(0 - 3 + 5)*(3*w + 4*w - w).\nAnswer: -276*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**4\/3 - 2*p - 1. Let o(u) = 2*u**2. Calculate j(o(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5694220 divided by -28?\nAnswer: -203365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-four fifths of a kilometer?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/68912 and 103\/1615066.\nAnswer: 943198544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y - 115*y + 245531 = 0. Does 69 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 2*q**3 - 2*q**3)*(q + 3*q - 2*q) + 0 + 0 - q**4.\nAnswer: -13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 43.29. Let o = u - 19.29. Let c = o - -17. What is the smallest value in c, -0.1, 2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(2 + 1 - 2)*(-2*w - 8 + 8).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) + -2*(sqrt(1900) + sqrt(1900) + sqrt(1900) + sqrt(1900)*-1).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -1701. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 534*a**2 - 25828*a + 331056.\nAnswer: -2*(a - 209)*(a - 36)*(a - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1285, 2578, 3883, 5206, 6553?\n\"Answer: d**3 + 1286*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 184151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 3, -1.\nAnswer: -22, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1054 + -1549. Let a = 88 - h. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (618\/21)\/((-2)\/(-14)). Let t = c + -146. What is the remainder when t is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3 = a, 2*a + 0*a = -4*h - 6. Let j(r) = 9*r**2 + 2*r + 1. Let k be j(h). Solve -4*d = 4*v - k, 0 = -4*v + 3*v + 2*d - 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**2 + 4*a - 21. Let y be w(7). Is 1658\/y + (-10)\/90 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 403465204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73776902461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 11:31 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 420*o**2 - 3*o - 3. Let i be n(-1). Round i to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1029*o**2 - 12*o + 3. Let l(b) = -4114*b**2 - 44*b + 11. Determine -6*l(r) + 22*q(r).\nAnswer: 2046*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z = -60. Suppose 0 = 3*t + z*t - 60. Which is the closest to 1? (a) -5 (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10 - 3 - -15) + -11 - -17) + -83 + 1.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 936401.1 months to centuries.\nAnswer: 780.33425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17599.\nAnswer: 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 160052 and -0.068593.\nAnswer: 160051.931407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 2*d + 9. Let u be o(0). Suppose h = u*h + 32. Is ((-15)\/(-2))\/(h\/(-16)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.3208 rounded to one decimal place?\nAnswer: 160.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 455891099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57909041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34, 40, 34, 10, -38?\n\"Answer: -x**3 + 13*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opp when three letters picked without replacement from bpoppppopoppppppppoo.\nAnswer: 91\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w + 223798920 - 223795817 = 0 for w.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346 a factor of 72977022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 8*c + 2. Let p be o(7). Let t = -30 + p. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 376065?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-15)*b\/(b\/(b*b**(-21\/4)*b*b))*(b**(-21))**(-3\/19))**(2\/133) assuming b is positive.\nAnswer: b**(-1059\/5054)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 720*k**2 - 3024. Let r(i) = -i**2 + 3. What is -3024*r(z) - 3*t(z)?\nAnswer: 864*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/8 + 367*q\/8.\nAnswer: -q*(q - 367)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9 and -5096?\nAnswer: 5105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 1. Let y = d - -5.04. Which is the third biggest value? (a) -4 (b) 1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q + 1. Let r = 233 + -131. Let i(m) = r - 56 - 16*m - 50. Calculate -10*d(h) - 3*i(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8266391 - 939455.\nAnswer: -9205846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*c**3 - 130*c**3 - 2*c**2 + 72*c**3 + 4*c**2 + 0*c**2.\nAnswer: 15*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*f + 51 = 0, -254 + 193 = -2*q + 7*f for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5542)\/187 + 30)\/(18\/(-297)*(-9)\/15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 849*b**2 + 11738*b - 11736. What is x(1)?\nAnswer: 851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 338991290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1046.37 or 0?\nAnswer: 1046.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(2\/57)*l*l)**(-47)*(l**(-1\/21)*l*l*l)\/l*l*((l\/(l**2\/l)*l)\/l)\/l)**(-2\/123) assuming l is positive.\nAnswer: l**(36548\/16359)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743955.\nAnswer: 3, 5, 49597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 31*z**2 + 36*z - 32. Let d(b) = 25*b**2 + 35*b - 32. Let n = -528 - -523. Let r(u) = n*d(u) + 4*m(u). Factor r(i).\nAnswer: -(i - 1)*(i + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/20*10*(-26)\/4. Let i(t) be the third derivative of 2*t**5\/15 - t**4\/4 + t**2. Let s be i(4). Calculate the highest common divisor of s and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367478278?\nAnswer: 2, 19, 31, 311951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1002 divided by 1.\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**2 + 1. Let g(n) = -n**2 - n + 1. Let k(x) = 26*x**2 + x + 3. Let b(q) = 3*g(q) + k(q). Let a(v) = b(v) - 6*c(v). Determine a(-7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97279, -97275, -97281, -97303, -97347, -97419, -97525?\nAnswer: -97671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z + 1. Let i be f(2). Let v = -4 - i. Factor 0*k + 3*k**3 + k**3 - 8*k**2 + 8*k - 2*k**v.\nAnswer: 2*k*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5292 and 4511808.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8216243603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 1 - (216\/6 - 10). What is the hundreds digit of 643 + a\/5 + (-12)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 362*f**4 + 3771*f**3 - 13919048*f wrt f?\nAnswer: 4344*f**2 + 22626*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -1, -4, -170 in decreasing order.\nAnswer: 3, -1, -4, -6, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26 or 13376\/499?\nAnswer: 13376\/499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**3 + 46 - 20 - 22.\nAnswer: 9*x**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -543777*p - 717672 wrt p?\nAnswer: -543777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 - -120. Suppose -27 = -8*i + a. Let h = -9 + i. Are -1 and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 137, 6, 1486, 3.\nAnswer: -1, 3, 6, 137, 1486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 - 48 + 269*o - 96*o + 26 - 153*o. What is d(-7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*g, -5*u - 5*g - 314 = -309 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-3))\/(3*-1). Suppose -4*a + a = i. Let r(q) = -q + 28. Is 10 a factor of r(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + 126381\/5047 + -22?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100935656.999798 + -100935813. Let u = y + 156. Round u to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 2. Let b be j(3). Suppose 5*o - 2*z - 7 = 18, 0 = 5*z. Suppose -o*n + 4*n - b*i + 147 = 0, -i - 142 = -n. What are the prime factors of n?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**3 + 37*n**2 + 53*n + 18. Calculate z(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -10 + 13 + -7 + (3 - 0) + 9\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 - 38*s**2 + 21*s + 27. Let f(c) = -16*c - 144. Let g be f(-10). Is t(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11. Let j(v) = 3. Let y(n) = -7*j(n) - 2*t(n). Let f(k) = -6*k - 4. Determine -f(q) - 6*y(q).\nAnswer: 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + 8) - (4636 + -4634)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -z + 3 + 2, 4*z = 5*v + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -51.03. Let j = k + 0.23. Sort j, -14, -3 in increasing order.\nAnswer: -14, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 27*t + 40*t - 24 - 44*t + 6. What is the remainder when g(4) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1\/2, 0.1, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 756\/45*2550\/(-714)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*u - 2*u. Let w = 3416 - 3413. Put w, u, 3\/5 in decreasing order.\nAnswer: w, 3\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52503 times -1.145?\nAnswer: -60115.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 15. Let k be n(9). Let y(c) = 2 + c**3 + 2*c**2 + 3*c**2 + 3*c**2 + 12*c. Let b be y(k). Solve b*p + 2*p = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - -1.7. Let c(g) = -1. Let b(z) = z + 5. Let j(d) = b(d) + 5*c(d). Let f be j(0). What is the nearest to s in 1, -1\/4, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8200137?\nAnswer: 3, 11, 17, 47, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23760 and 648.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(3*m**2 - m**2 - m**2) - 3*m**2 + 17*m - 17*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29445 smaller than 29422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - x**3 + 12*x**3 - 2*x**3 - x**3.\nAnswer: 8*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*n - 2*l + 1, -3*l = 3*n + 6. Let x be 2 - (0\/1 + n). Let u be -1*6\/((-6)\/x). Solve -u*c - c = -4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 11:06 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dip when three letters picked without replacement from {u: 9, i: 4, p: 2, m: 3, d: 1}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 8*x**2 + 8*x - 3. Let a be u(7). Let d = 93 + -63. Solve -a*z - 3*k = -z, 3*k - d = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21379689, -21379686, -21379683, -21379680, -21379677, -21379674?\n\"Answer: 3*m - 21379692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**3 - 3*q**2 - 2. Let b(k) = -5*k**3 + 2*k**2 + 2. What is 4*b(d) + 3*v(d)?\nAnswer: -5*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10344229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**4\/4 - m**2\/2 - 12. What is a(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/b)**11)**(-4\/3)*b*b**(3\/10)\/b*b\/b**2*b**(-3\/4)\/b**(1\/4) assuming b is positive.\nAnswer: b**(389\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + s = 2*s - 1223, 3*s = 2*r - 496. Calculate the greatest common factor of 98 and r.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, z: 4, u: 3}. What is prob of sequence uuuo?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 868014013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, 0.1, 1, -1471, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/108 - ((-21)\/6 - -3)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 9*x**2 + 13*x - 3. Let k(m) = 16*m**2 + 28*m - 5. Give -4*k(g) + 7*o(g).\nAnswer: -g**2 - 21*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-48))\/((-280)\/(-252))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 806972*f = 807192*f - 2640 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/463785 and -31\/70770?\nAnswer: 312591090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuupeuuuu. Give prob of sequence uuuu.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 0*f**2 + 0*f**4 - 15 + 1\/3*f**3 + 4\/3*f**6 + 0*f**5 + 0*f. Find the third derivative of l(u) wrt u.\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 + 3*s**3 - 4*s**3 + 0*s**3 + 0*s**3 - s**3 + (3 - 3 - 1)*(-2*s**3 - 1 + 1) + 4*s**3 + 3*s**3 + 0*s**3 - s**3 + 0*s**3 + 2*s**3)*(-4 - s**2 + 4).\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 501813509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 663461*l**2 + 260297*l**2 - 649311*l**2.\nAnswer: l**3 - 1052475*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u + 13. Let n be m(-10). Suppose -2*v - 731 = -5*a, -a = -0*a + 3*v - 136. Let s = a - 139. Solve -4*k + z - 2*z - n = 0, -2*z = -k + s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 7*m + 4. Let w be g(-8). Let h be (w\/10)\/(2\/5). Put 5, h, -4 in increasing order.\nAnswer: -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -249*p**4 + 408*p**3 - 385*p**3 + 286*p**4 + 2*p**4 + 0 + 0 + (-2*p - p + 2*p)*(-2*p**3 - 4*p**3 + 4*p**3).\nAnswer: 41*p**4 + 23*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-311))\/(20\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -162\/1535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.01, 5, 0.1, -165?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3107 smaller than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(847) - -4*sqrt(847))**2 + 3) + (sqrt(462)\/sqrt(275))\/(sqrt(6) - (sqrt(96) + sqrt(96)*-2 + sqrt(96) + sqrt(96)) - sqrt(6) - sqrt(6)).\nAnswer: -sqrt(7)\/25 + 84712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -68268, -68235, -68202, -68169, -68136, -68103?\n\"Answer: 33*c - 68301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1008069, 1008348, 1008627, 1008906?\nAnswer: 1009185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 97 = -q - 1196, -3*q + 383 = m. What is the highest common divisor of m and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 + 1.97. Let v = 0.4 - 0.6. Let l = 0.3 - v. What is the biggest value in -0.2, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(720)*-6)\/(((sqrt(2880) - ((sqrt(2880)*-1 - sqrt(2880)) + sqrt(2880)) - sqrt(2880)) + sqrt(45) - sqrt(45))\/(sqrt(5) - sqrt(800)\/sqrt(10))).\nAnswer: 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whhhhutthuuhu. What is prob of sequence uwth?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804322524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*4*sqrt(2299)*4 + (4 + sqrt(2299)*-3)*-1)*-6)**2.\nAnswer: -110880*sqrt(19) + 101386476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1 - 5*3\/(-5). Which is bigger: q or -2\/2421?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12302437 is divided by 12302384?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2)\/((-3)\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**5 + x**3 + x**2. Let f(b) = -8*b**5 + 7*b**3 + 9*b**2 + b. Let p(k) = -36*c(k) + 4*f(k). Let p(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p - 7. Let x be m(5). Let c = x + -15. What is the highest common divisor of c and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 12 = -3, -3*s = 3*k - 21. Suppose m + m = w + 475, -s*m - 4*w + 968 = 0. Suppose 4*t - 1 + m = 3*i, -2*t - 236 = -3*i. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u - 8. Let g be v(1). Suppose 0 = -g*n - 15*n + 255. Solve 0 = 2*t + 3*s + 18, -t + 5*s = -0*t - n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 414442?\nAnswer: -414434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 187*i**4 - 200*i**2 wrt i?\nAnswer: 4488*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0 + 1)\/(-2))\/((-3)\/30). Let u = 148\/39 + -32\/13. What is the second smallest value in u, -4, 2, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 1. Let o be i(3). Let w be (-4 - -6)*-1*65\/26. Put w, o, -2, 3 in decreasing order.\nAnswer: 3, o, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1065 - 587. Suppose -6*p - m + 22 = 0. Let w = -79 - p. Let n(b) = -3*b + 1. Calculate n(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 57 (b) -0.1 (c) 0.5 (d) 0.01 (e) 2 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 19 = 3*i + 4*z, 3*z = 4*i. Let o(j) = -5*j - 5. Suppose 27 + 15 = -3*b. Let u = -10 - b. Let r(c) = -4*c - 4. Give i*o(v) + u*r(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j. Let o be z(-1). Let k be 3\/(3\/2) + o. Let w = -16 - -38. Solve m = -k*q - 5, -4*m + q = -0*m - w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -94047660, -94047658, -94047656, -94047654, -94047652, -94047650?\n\"Answer: 2*y - 94047662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3013770928 is divided by 433.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 644657409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 4*y**2 + 4*y**2 - 2911360*y + 2911360*y - 1041 - y**3.\nAnswer: y**3 - 1041","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 346335545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 2*o**2 - 2*o - 2. Let f be k(2). Let z be (-62 + 82)*(126\/f - 1). Calculate the greatest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + 3*v + 58 = 6*a + 6*v + 52, -v = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 16517\/329, 3, 5\/2, 0.5 in decreasing order.\nAnswer: 16517\/329, 3, 5\/2, 0.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -2)*2\/3. What is the tens digit of (-1)\/((-1)\/8) - s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x - 5. Let r be m(8). Let s be 2\/5 - (-18)\/r. Suppose -k = -s*d + 2*d - 43, -4*k + 2*d + 152 = 0. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20407, 20413, 20423, 20437, 20455, 20477, 20503?\nAnswer: 20533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 736 and 94?\nAnswer: 34592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372467?\nAnswer: 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196001 by -5.\nAnswer: 196001\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((-7)\/2 + -1). Let a be (z\/(-12))\/(1\/4). What is the biggest value in -2\/5, -3\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 0*j**2 + 0*j**2 - 10*j + j**2 + 5 + 0. Let f be u(12). Let v = f + -16. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75 + 4*h + 6*h + 1083*h**2 - 1085*h**2 wrt h.\nAnswer: -4*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*(-6)\/(72\/(-3))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 18 = -4*n. Suppose -3*m + 18 = 5*x, 12 = -6*m + 9*m + 3*x. What is the smallest common multiple of n and 11 + (-3 - m - 0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 13876776?\nAnswer: 1\/13876776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*g - 960, g = -5*o - 66 - 174. Let v = -235 - g. Solve b = v, -q - 1 = 2*b - 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 170 and -66.783155.\nAnswer: 103.216845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23\/5, 0.4, -4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.28 to one dp.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*l + 3\/2*l**2 + 0.\nAnswer: 3*l*(l + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*s + 20, -20*s - 5*z = -25*s + 10. Solve 0 = -0*d + d + m + s, 10 = -5*d + 5*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010203000 - -331302?\nAnswer: 1011200302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Suppose 5*d + 8 = -0*y - 3*y, -f*y + 3*d = 2. Which is the closest to y? (a) 2 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1804.9 - 1805. Which is the fourth biggest value? (a) l (b) -2\/3 (c) -6 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2618547 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - z**2 + 3*z - 4. Suppose -n - n = 8. Is 16 a factor of c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2713)\/(-3) - 246\/(-369). List the prime factors of b - (-12 - (-15 + 7)).\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 17*n**2 + n + 20. Let j(k) = -4*k**2 - 8*k - 5. Let q be j(-3). What is the units digit of f(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633*z**2 - 4 + 4.\nAnswer: -633*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*j + 15 = 0, -3*g + 3 = 4*j - 5*j. Solve 0*w - w + 4 = g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -1\/4, 2\/3, -750, 22?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 9 = 6*x - x, 3*x = -2*r - 3. Let l = 5 + x. Suppose -8*w - l*v + 26 = -4*w, -w + 4*v + 11 = 0. Calculate the remainder when w is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(114) - -1*sqrt(114))*4)\/sqrt(6) + 2)*-2.\nAnswer: -16*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:51 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/((-280)\/(-21))*(-18)\/(-12) and 69\/998.\nAnswer: 7984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-18))\/(((-30)\/(-18))\/((-45)\/18)). Let l be ((-1)\/114)\/((-4)\/6). Which is smaller: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101129, -101153, -101193, -101249, -101321?\nAnswer: -101409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 8, 252, -135, 5.\nAnswer: -135, -2, 1, 5, 8, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/5)\/(6\/330). Suppose 3*s + s - 20 = 0. Solve 0 = -7*m + 2*m + x - 21, -s*m - b = -2*x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 2*b**3\/15 - 2*b**2\/5 + 2*b\/5 - 8. Let p(r) = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 6:59 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 81759313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 164*k + 1146. What is r(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/5))**(15\/7))**10*(d**(-2)\/d**5)**(-35) assuming d is positive.\nAnswer: d**(1745\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5173 divided by 1?\nAnswer: -5173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (2 + (1 + sqrt(1053) + 2*sqrt(1053) + sqrt(1053) + sqrt(1053) - (2 + sqrt(1053)*-3))**2)*-2*-5).\nAnswer: -2695788 + 5760*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o*o\/o**(-3))*o)*o**(-8\/5)*(o**1)**23 assuming o is positive.\nAnswer: o**(127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxxttosssotttot. Give prob of sequence xd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**5\/30 - m**4\/24 + m**3\/18 + m**2\/12 + 7. Solve w(n) = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2038169 or 2038077?\nAnswer: 2038169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5558 - 55513\/10. Find the common denominator of l and 5 - -3*10\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 54 = 54. Solve 5*x = -2*d - 0*x + 1, w = 2*d - 3*x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + l - 1. Let p(o) = -o + 1. Let y be p(-2). Suppose -y*b - 17 = 5*h, -b + 13 = -3*h - 0*h. Is t(b) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**4\/4 - 2*m**3 + 3*m + 24. Let p(c) = 3*c - 1. Let i be p(8). Suppose 2*j - v = -11, -j - i = 2*j + 5*v. Give k(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 115, 486, 1105, 1972, 3087, 4450?\n\"Answer: 124*x**2 - x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35583 - 35570. Suppose 2*c - 468 = -2*c. Calculate the greatest common divisor of p and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 = 7. Solve 3*q + 2*t - 14 = 0, -3*q + s*q + 4*t = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(4)*-3)\/(1*sqrt(25)\/sqrt(5)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6755 and 350?\nAnswer: 67550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 644551 (base 10) in base 6?\nAnswer: 21452011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/1 + 182\/14. Let s = u - 9. Let d = -5 - -9. Solve s*w = -d*p - 10 + 3, -5 = -w - 5*p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6.5 (b) 4 (c) 171 (d) -162\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -0.5, 4 in descending order.\nAnswer: 10, 5, 4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.817 - -2.317. What is the second smallest value in 10, -2, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30*6\/9*(-1)\/((-105)\/6)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yziyiyk. What is prob of sequence iy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8709 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 79902 and 84630 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13226039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3076 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 36230 + 49432362\nAnswer: 49468592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.3 + -9.22. Let a = -2.1063 + n. What is a rounded to three dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 219 + 219.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.9 - 2.8. Let j = 5\/17 - 47\/102. What is the third smallest value in j, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 7. Differentiate -70*z**g - 42 + 187*z**4 + 11 wrt z.\nAnswer: 468*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + sqrt(112) + -4 + sqrt(112).\nAnswer: 1 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.2 (b) 6 (c) -0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7190853890 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 470897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8 = -4*m, m - 10 = -2*m - w. Solve -2*s + m*y = 4, 2*s - 5*y + y - 2 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50807?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 10. Let d be (-22)\/12 + (69\/(-18))\/23. Let q(l) = -l**3 - l. Let w(h) = 6*h**3 + 7*h. Calculate d*w(u) + t*q(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 + 10 = 0, -4 = -2*h + 3*m. Let j(c) = -c**2 + 9*c + 1. Let t be j(h). Let g = t + -1. Solve -4*d = 3*i + 23, -d + 0*d + g = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598.7 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**3 + 16 + 2*t - 19*t**2 - 7 + 2*t**2 - 3*t**2. What is the remainder when s(15) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 1\/5*f**6 + 0 + 0*f + 0*f**4 + 0*f**5 - 5*f**2 + 10\/3*f**3. Find the first derivative of j(s) wrt s.\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1401473 and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 1\/2*c**4 + 0*c + 0*c**2 + 2 + 2\/3*c**3. Find the third derivative of f(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-90)*(-9150)\/7686.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 8203 in descending order.\nAnswer: 8203, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 686643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2964\/24700*(-5)\/18?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**1)**(-50)*o**(-3\/4)\/o**(1\/4) assuming o is positive.\nAnswer: o**(-101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -29?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 3. Let t be h(0). Suppose 2*d - 252 = -t*n, -5*d = -d - 2*n - 488. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnng when four letters picked without replacement from nnnngnnnngg?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 118086*f**3 + 1162025283*f**2.\nAnswer: 3*f**2*(f - 19681)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -283.4, -1.05, -5?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = 20. What is the second derivative of s + 2*s + s - n*s**5 wrt s?\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128*n - 71*n - 66*n)*(2 - 2 - n) + (-n + 0*n - n)*(n + 2 - 2).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/72 + 33\/792. What is the nearest to 1 in w, 1\/2, 0.2, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 35489303\nAnswer: 11\/35489303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/5, 1\/7, 11, -1\/2, -3\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165593.\nAnswer: 43, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqqwqqq. What is prob of picking 2 q?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 373\/6668 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23416 is divided by 3864.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 21.\nAnswer: 25\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwnhhnhwwwn. What is prob of picking 3 n?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 - 50*v**2 + 46*v + 50. Let g be a(24). Find the third derivative of -4*x + 4*x - 32*x**3 + 73*x**g + 46*x**3 wrt x.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -11.5\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3*w)\/w**(-4))\/(w**(-1\/6))**(-48) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21498 + 21498 - 201*y)*(0 + 4*y**2 + 0) + (2*y**2 + 5 - 5)*(-3*y - 2*y + 6*y) to x*y + a*y**2 + f*y**3 + i and give f.\nAnswer: -802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17430 is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8673, 17390, 26107?\nAnswer: 34824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*t**4 - 132310*t**3 + 1217265*t**2 - 2638080*t + 527580 = 0. Calculate t.\nAnswer: 2\/9, 3, 6, 2931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - i = -6*i + 35, 40*i - 42*i + 6 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -41.2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22750131 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08659 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u - 4. Let q be m(-9). Suppose -c - 9 = a, c = -4*c - 3*a - 47. Let i = c - q. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 + -4)*665232\/192 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a - 14 = -2*i, 4*i - 12 = -2*a. Suppose 29 = 5*g + 3*c, -34 = -3*g - i*c - 7. Solve -5*l - 1 = g*f - 3, 3*l - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 13*x + 12. Let f be g(12). Let t be (f - (-2)\/(-2))*-5. Solve -15 = -5*z + t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1304)\/(-24))\/((-4)\/24). Let u = 350 + n. Calculate the smallest common multiple of 4 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-4)*340\/(-238).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308076 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -10*o. Let l(n) = -4598590*n**2. Calculate l(z(t)).\nAnswer: -459859000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r + 4 + r + 0 - r**2 - 8*r. Let n be u(-10). Is n\/14 + 524\/28 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 180866553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 337, 254, 65, -272, -799, -1558?\n\"Answer: -7*f**3 - 11*f**2 - f + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 637 and 7735?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.04 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 minus 0.0083?\nAnswer: -53.0083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.466 + 0.366. Let t be 2 - (18\/10 - 0). What is the biggest value in 0.3, k, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-5 + 2) - -1 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418878 = -2484*q - 63666 for q.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjjz when four letters picked without replacement from vzjvvvvvzvvj.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 0. Let r(y) = -3*y**3 - 107*y**2 + 33*y - 112. Let p be r(-36). What is the smallest value in -0.3, x, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eey when three letters picked without replacement from {e: 3, y: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 36 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33b21cb (base 13) in base 11?\nAnswer: 8a89912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*(-1*3*sqrt(605) + sqrt(605) + sqrt(605) + -1*sqrt(605)*-1 + 1))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 27*t. Let m(g) = 4*g + 29. What is m(a(u))?\nAnswer: 108*u + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**6*g)\/(g*g**(-4\/3)*g)*g**(-2)*g*g**(-4\/7)\/g)**23)**(4\/7) assuming g is positive.\nAnswer: g**(9200\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 20*b**4)*(-3*b + 3*b - 2*b) + 38*b**5 - 11*b**5 + 6*b**5 - b**3 + b**5 + b**3.\nAnswer: 74*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 5*x**5\/12 + 2676*x**2. Let j(w) = -33*w**2. Determine j(c(k)).\nAnswer: -20625*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10801, 10894, 10987?\n\"Answer: 93*r + 10708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -44 times 1800\nAnswer: -79200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -15. Let x be b - 3*9\/(-21). Factor 4\/7 + x*r**2 + 6\/7*r.\nAnswer: 2*(r + 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 28. Let f be l(16). Let b be f*(3 - 5) - -3. What are the prime factors of 6\/b - 44\/(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550592687.\nAnswer: 10939, 50333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10 + (-9)\/(45\/(-10)). Let f = y + -10. Suppose -r - 2*a = -16, 3*a = 2 + 1. What is the highest common factor of f and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**2 - 2*h - 3 - 5 + 14 - 5. Give p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.268 + -4.608. Let y = z - -1.34. Let o = 2 - 2.1. Which is the third biggest value? (a) 0 (b) o (c) y (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.026 - -24.026. Let w(s) = -55*s + 498. Let a be w(9). What is the biggest value in c, a, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7793?\nAnswer: 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-520)\/35 + 0)*(-3612)\/(-2064)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2521321160, 2521321158, 2521321156?\nAnswer: 2521321154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1790*-18.\nAnswer: -32220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t + 4*a - 24 = 0, t + 4*a = 16. Factor 5*n**3 + 3*n**2 + 0*n**4 + 11*n**t - 2*n**4 + 3*n**5 + 4*n**3.\nAnswer: 3*n**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 571881103 and 5?\nAnswer: 571881098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(((s\/s**24*s)\/s)\/s))\/(s*s**8) assuming s is positive.\nAnswer: s**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1782, -21, 0.65?\nAnswer: -1782","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 + -38. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.32, 2\/13, 0.3, -2 in ascending order.\nAnswer: -2, 2\/13, 0.3, 0.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*d + d - 2600016, -4*d + 3900016 = -3*z. Round z to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 8:31 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142975 and 6755.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4*(4*3\/(-114))\/(9\/(-171))*-5\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 4*w**2 - w**2 + (-2 + w + 2)*(3 - 6 + 1)*(w + 2*w - 2*w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = 5*s + 324, 0 = -4*s + 16. Suppose 20 = -t + 5*f, -114*t + 112*t + 2*f + 16 = 0. What is the remainder when i is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 10\/473, 435?\nAnswer: 10\/473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 33*w**3 + 264*w**2 + 219*w - 30. Calculate f(-7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/4 in 2\/5, -1.351, 1\/5, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 7580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from {d: 1, s: 1, h: 10, r: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 = 54*n - 122 + 215 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v - 5. Calculate c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 - (-678)\/(-57))*-1. Which is the second smallest value? (a) z (b) 2\/37 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/11 + (-1 - (-93)\/33). Let d be (m\/6*-3)\/((-2)\/10). Solve q + 0*q + d*z = -13, -11 = q + 4*z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 649458?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0150025 rounded to four decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 1, 763, 4 in descending order.\nAnswer: 763, 4, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 1:50 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17b + 4?\nAnswer: 17f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18\/133, 3, 0.4, -71\/11?\nAnswer: -71\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -16 - (-3 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**2 + t + 2. Let s(x) = 5*x**2 + 5*x - 13*x**2 - 9*x**2 + 10 - 1. Determine 9*d(c) - 2*s(c).\nAnswer: -2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-538)\/(-10) + (-7)\/(-35). Suppose -2*l + u = l. Suppose 3*f + x - 4*x = 36, 4*x = f - l. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4*q + 28 = 0, -4*c + 31 = 422*q - 419*q for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5)*u)\/(u*u**(5\/7)))\/(u**(-41))**(13\/7) assuming u is positive.\nAnswer: u**(493\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5335 * 102.75.\nAnswer: -548171.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443613162?\nAnswer: 2, 3, 31, 191, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 (base 10) in base 9?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 23\/7, -0.2, 6\/29, 1\/2, 16?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63381318 a multiple of 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = c + 6, 0 = h + 3*c - 48. Let i = 80 - h. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 l, and 1 x when three letters picked without replacement from hemmmbhlhxlh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*b + 10 + 8, -4*n + 4 = -3*b. Let h be 1\/2*(n - 2). What are the prime factors of 2\/h*(-9 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h + 26. Let w(b) = 1. Let u(v) = -t(v) + w(v). Let n(z) = z - 8. Let i(y) = -7*n(y) + 2*u(y). Suppose 0 = 5*x + 10 + 15. Calculate i(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*d = 36*d + 103*d + 4*g + 4, 0 = -92*d - 2*g + 268 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/2)\/(3 + -5). Let w = 1.524 - -0.476. What is the second biggest value in g, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 13*g - 5204 + 5136 = 0, 3*g = 3*b - 24 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/1104)\/((-1)\/(-6)*3)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -2. Let y(g) = g**2 + 7*g + 5. Let q be y(-9). Let o be q*(-3)\/21 - -3. Sort 0.2, o, r.\nAnswer: r, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4*-780\nAnswer: -3120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*h = -10, -4 = -2*x + 3*x + 3*h. Calculate the remainder when -9*(-2 + 10\/6) is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -748*i - 2066. What is the ten thousands digit of g(-48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/b**(6\/19)))\/b**(2\/79)*b**7*b*b**(-2\/3)\/b)**(-8) assuming b is positive.\nAnswer: b**(-202592\/4503)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -92832.66 and 10.\nAnswer: -92822.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -172*w + 16. Let c(s) = -170*s + 14. What is -3*c(n) + 2*h(n)?\nAnswer: 166*n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -7330485?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11613 divided by 5795.\nAnswer: -11613\/5795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2518 is divided by 272.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5)**(-9) assuming l is positive.\nAnswer: l**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -704, -568, -432, -296, -160?\n\"Answer: 136*p - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336135 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1286 is divided by 424.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**3 - 2*v**2 + 3*v + 3. Calculate q(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 68 = 3*h, -5*h + 5*s + 10 = -4*h. Let x be h\/(-8)*(-5 + 1). What is the units digit of 1\/(x\/14)*5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/1218413 + 2457542141\/633574760. Let k = 1097\/420420 + 2\/1617. Let y = v - k. Find the common denominator of y and -49\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 555 - -4?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -20. Which is the closest to 1? (a) x (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 331816*y + 10286304. What is w(-31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*n + 189*n = 28 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkussgkggtrt. What is prob of picking 1 u and 1 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 23*o**3\/6 - 48*o**2 + 106*o. Is 50 a factor of z(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4330904, 8661805, 12992706, 17323607, 21654508, 25985409?\nAnswer: 30316310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 2*r + 8. Let q be p(-4). Suppose 9 = i - q. Let k be 12\/i*(-6)\/(-8). Solve -4*d - k = -2*y + 3, 0 = 5*d + 5*y - 25 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 39. Suppose -n + 1 = -2*m. Suppose 2 = -4*h - 3*i - 0, 0 = 4*i - m. Let o(u) = 2*u - 2. Calculate o(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2363? (a) -3\/7 (b) -645 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-5)\/(-270)*6*(-9)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/6 and -1*(-172)\/(-48)*3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60588 + 30292 - 68*u**2 - 439*u**2 + 30296.\nAnswer: -507*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 33*p = 1566. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -35, -72, -129, -212?\n\"Answer: -o**3 - o**2 - 13*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 1944*y**2 + 1950*y + 3892.\nAnswer: -2*(y - 2)*(y + 1)*(y + 973)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.1 + -22. Which is the biggest value? (a) -2 (b) l (c) -4 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 847 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g**2 + 456*g - 15. Determine k(38).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 38 = -29. Suppose -5*i + i - 4*r = -1120, -2*i + 550 = -b*r. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 1. Let w be t(-4). Suppose -6*r = -r - 35. Let v = r + w. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34223, -3, 39, -2, -4, 2 in descending order.\nAnswer: 34223, 39, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -115 and -1.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18\/1573, 1199, 1?\nAnswer: 18\/1573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.01, 2, -0.5, 2810?\nAnswer: 2810","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -541*z**8\/336 - 155*z**4\/24 + z**3\/6 + 2*z**2 - 11*z. What is the second derivative of u(n) wrt n?\nAnswer: -10820*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -37*m + 41. Determine h(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -50. Let s be v + (0 - 8) - (-2 - 0). Which is greater: -1\/203 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b + 196 = 4*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3.272, -112354?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dppd when four letters picked without replacement from {v: 4, r: 2, d: 4, p: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/10*5\/2. Let l(g) = -g + 3. What is the remainder when l(p) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -28*g + 2352900000. Round g to the nearest 1000000.\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -9*o**2 + 532*o**3 + 3 + 7*o**2 - 531*o**3 - 3*o. Determine w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -168*h - 3. Let w(n) = 84*n + 2. Calculate -2*s(x) - 5*w(x).\nAnswer: -84*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 8*h**2 + 2*h + 66. Let b be s(8). Suppose b*w = 29*w. Suppose 1\/5*p + w - 1\/5*p**2 = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -1. Suppose -4*g + d = -2*d, 4*g - q*d = 4. Suppose g*f + 0*f + 2550000 = 0. Round f to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6189 or 142338\/23?\nAnswer: 142338\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15738 = -86374*v + 86632*v for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 1*(-6)\/2. Let d be (f\/(-2))\/(10\/20). Suppose 3*w - 8*a + 3*a = 184, -d*w + 245 = 4*a. Calculate the remainder when w is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39368 divided by -4?\nAnswer: -9842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*b**3 - 128 + 95 + 33 + 131*b**3.\nAnswer: -295*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**6\/900 + l**5\/300 - l**4\/30 + 3*l**3\/2 - 9*l. Let f(j) be the second derivative of z(j). Suppose f(x) = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -37345134?\nAnswer: -18672567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 2*k**2 + 3*k - 4. Let n be a(3). Let f = n - -11. Calculate the remainder when f is divided by (-4)\/(-5)*25\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -71615?\nAnswer: -7161a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggjgggbgjjbj. Give prob of picking 2 b and 1 g.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -2 - -18) + 3. Let n = -1189 - -1279. What is the greatest common factor of n and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**2 - 2. Let g be d(1). Suppose 3*f - 4*b - 245 = 0, 3*b = g*f - 2*b - 405. Suppose -f = -2*z - 31. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/9 - 14\/30. Let n(x) = x**2 - 3*x - 4. Let k be n(4). Which is smaller: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1152681000 to the nearest 1000000.\nAnswer: 1153000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 + 2*h**2 - 2*h + 1. Let i be k(1). Let x = i - 4. Let z be 33\/(-6)*(-208)\/572. Solve -z*w + w + 2 = x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -3*j - 11, -29*j = -27*j - 3*m + 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/((n\/((n**(-1)*n)\/n))\/n)))\/n*n*n**0*n\/((n*n**(-2)*n*n)\/n)*n\/(n**(2\/3)*n) assuming n is positive.\nAnswer: n**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 212\/3429?\nAnswer: 212\/3429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177674462 is divided by 484?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*3*(sqrt(343) + (-1 + sqrt(343))**2)*-4.\nAnswer: -4132 + 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -2*c**3\/3 - 2*c. Let x(p) be the third derivative of 2*p**4\/3 - 524*p**2. Determine u(x(g)).\nAnswer: -64*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 - 16*x**3 + x**3 + 14*x**2 - 15*x**2 + 3*x**3.\nAnswer: -6*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 316 = 5*g, 68 + 40 = 2*g + 3*a. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -21. Suppose 8 = 5*v - a. Let l(b) = b + 2. Determine l(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 38*o**2 + 33*o - 238. Let y be f(-39). Put 5, y, 465 in ascending order.\nAnswer: y, 5, 465","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 2014719555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 = 2*c, 4*c - 9 = -5*k - 4. Solve 0 = -3*p + k*s + 18, -p - 11 + 0 = 4*s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -23. Suppose -g*v + 105 = -5*v. Suppose 2*i + 5*z = 23, 3*i - 22 = -3*z + v. What is the greatest common divisor of i and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p*p*p*p**(3\/4))\/p)**(-15))**(2\/151) assuming p is positive.\nAnswer: p**(-285\/302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117796325.\nAnswer: 5, 4711853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4\/m*m**(1\/4)*m*(m\/(m*m*m**5*m))\/m**(-2\/5) assuming m is positive.\nAnswer: m**(-47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1831.57 or -35\/6?\nAnswer: -1831.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 213426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -15. Suppose 0 = -3*j - 0 + x. Solve 0 = g - j*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 540 - 85 = 2*v, 4*f + 4*v = 612. Is f < 150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2286, 2, 3, 4, 0.3?\nAnswer: 0.2286","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -1d76494?\nAnswer: -1d76493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1597.18 and -3.\nAnswer: 4791.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13\/i*i**11\/i)\/(i\/(i**(3\/8)\/i))**(-1\/17) assuming i is positive.\nAnswer: i**(3005\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, -3\/14, -1406, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(-48))**(4\/25) assuming p is positive.\nAnswer: p**(192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18476*m**4 + 3*m**3 - 351412*m**2?\nAnswer: 443424*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 + 45*r - 302. Let o be t(13). Is 959 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 3 = -3*n + x, -5*x + 25 = 0. Which is the fourth smallest value? (a) -3\/4 (b) n (c) -2\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xlss when four letters picked without replacement from sslxxuxxsslusxu.\nAnswer: 5\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1949*x + 11703. Determine d(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 14 = -4*s, -2*g + s + 16 = -4*s. Suppose 0 = -z - 3, g*t + z = -0 - 9. Is 3 + t + 81 + 6 + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 814701a + -4?\nAnswer: 8147016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -116, -218, -316, -410, -500, -586, -668?\n\"Answer: 2*z**2 - 108*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2088 - 0.1088. Let q = 5.1 + -4. What is the closest to -0.1 in q, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 93 + 113)*(-2*w**3 + 1066 - 9*w**2 + 2*w - 1066).\nAnswer: -426*w**3 - 1917*w**2 + 426*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(325))**2 - (sqrt(208) + -3).\nAnswer: -972 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*v + 195*v + 1172 = -198*v - 868 for v.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 13*r**2 + 2*r - 14. Let m be w(13). Let k be m\/16 + (-10)\/16. Let z be (1\/3)\/(15\/(-45)). Which is the closest to 1? (a) k (b) z (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -22. Suppose -n = -2*r + 17 + 40, -147 = -q*r + 4*n. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8580 divided by 165.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 1018 + 1025 = -8*q, 34*q = 2*a - 86 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, b: 2}. What is prob of sequence bv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.46 - 5.46. Let h(v) be the first derivative of v**2 - 3*v - 1. Let w be h(2). What is the closest to -2\/3 in 3, l, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 18*d + 82. Determine l(6).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y**2 - 1688 + 1684 + 8*y**4 - 5*y**2 - 2*y - 36*y**4 as o + t*y**3 + i*y**2 + g*y**4 + p*y and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11\/7 (b) 295 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1. Suppose 9*x + 180 = -81*x. Let u(n) = n**2 - n + 1. What is x*u(g) + 3*p(g)?\nAnswer: -2*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12971594\/15 - 865195. Let m = p - -422. What is the nearest to 0.3 in 3, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17950 - -17949.7. What is the nearest to 3\/5 in 2\/5, s, 0.191?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 7e56a?\nAnswer: 7e565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11.9 * -4.5\nAnswer: 53.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 467?\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*m + 85 = 0, 4*y + 117 + 62 = -3*m. Let v = y - -207\/4. Find the common denominator of v and 49\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 725930.2 + -725930. Let h = 0.1 - 0.1. Which is the nearest to -0.1? (a) -18\/5 (b) h (c) -5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 37*o + 117. Let f be y(-5). Let t be 2*(f\/(-8) - 5). Solve 7*s + 0 + t = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lkoo when four letters picked without replacement from kvvrkavvvaooavklv?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2328, 2960, 4018, 5502, 7412, 9748, 12510?\nAnswer: 15698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 144643565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + m - 3 + 2 + m to the form v*m + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) + (sqrt(3) + 1)**2)*-4.\nAnswer: -60*sqrt(3) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:16 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*o = -172*o + 1122 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10344*o**3 + 10310*o**3 - 20679*o**3.\nAnswer: -25*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2170753 to the power of 1\/2, to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 88.5 and -10.\nAnswer: -885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v + v)*(-2 + 2*v + 2) + (6*v - 2*v - 3*v)*(-4*v + 9*v - 4*v).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -565654, -565651, -565646, -565639?\n\"Answer: y**2 - 565655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 6*j - 3. Let r be p(-6). Let m be -1 + (-3 - r) + 3. Suppose 0 = -m*v - v + 39. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2471 - 26 = 171*y + 393 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-60)*15 - -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -2)\/2*60. Let i = -357 + 418. Suppose -6*o - t - i = -11*o, -5*o = -2*t - 62. Calculate the highest common factor of o and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 7*f - 6. Let b be a(5). What is the derivative of 0*s - 68*s**3 + 0*s + 70*s**3 + 18 + b*s**2 wrt s?\nAnswer: 6*s**2 + 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/9)\/(553\/(-21)). Let o = 701\/395 - d. Let -s**2 + o + 3\/5*s + 1\/5*s**3 = 0. Calculate s.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a - 3. Let y(s) = -6*s + 0*s + 3*s + 4 - 2. Let u(n) = -4*h(n) - 5*y(n). What is the first derivative of u(j) wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 10 + 22 = 0. Suppose -3*f + 189 = m*b, 4*b = 3*f + 16 + 335. Calculate the highest common divisor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 3:37 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19331713 and 647.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -283, -305, -339, -385?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1 = 19. Which is the second smallest value? (a) 1\/5 (b) 1 (c) h (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + q - 3*q)*(-1 + 2 - 2).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n**4 + 2*n**3 + 22*n**2 + 16*n + 4. Let l(t) = -11*t**4 - 2*t**3 - 21*t**2 - 17*t - 5. Let m(j) = -5*h(j) - 4*l(j). Factor m(c).\nAnswer: 2*c*(c - 3)*(c + 2)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 1. Let j(s) = s**2 + 4*s + 2. Let x be j(-3). Let n(k) = -71*k**3 + 72*k**3 - 2 + 6 + 0 + 4*k. What is x*n(m) + 4*l(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-9)*3\/(-18)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u*u**1))*u**5*(u*u**(-2\/5)*u)**41 assuming u is positive.\nAnswer: u**(363\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1 - 6 - 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 z, and 1 q when three letters picked without replacement from {l: 3, z: 1, q: 2, i: 1, g: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 - 33. Let w = y + -28. Round w to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*l**5 - 4878*l**4 + 218396*l**3 + 358774058*l**2 - 448747728*l + 89760160 = 0. Calculate l.\nAnswer: -428, 1\/4, 1, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*w - 45 = 0, -3*w + 81 = 4*c + 198. Is c greater than or equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40712, -42866, -45034, -47222, -49436?\n\"Answer: -i**3 - i**2 - 2144*i - 38566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/104 and 71\/9958.\nAnswer: 39832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72156*d + 72258*d + 510 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2923, -11765, -26519, -47173, -73715?\n\"Answer: 2*a**3 - 2968*a**2 + 48*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) 5\/4 (c) 3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -3, -5, 0.5, -998, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 931662669 is divided by 7369.\nAnswer: 7368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12671*b**3*i**3 + 2*b**3*i**2 + 2*b**3*i + 38*b**3 - 2*b**2*i**3 + 4*i**3 - 28 wrt i.\nAnswer: -76026*b**3 - 12*b**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 539966 and -0.1.\nAnswer: -53996.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33 - 45 - (-771)\/48 and -69\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 41?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-86)\/1935*3\/13.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 23*m**3 + 3*m**2 - m + 1. Let j be f(2). Suppose 2*l = 7*l - j. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 k, and 1 s when three letters picked without replacement from sooosomk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 7*d**2 - 7*d - 15. Suppose 378 = -s - 135. Let h = s - -507. Determine q(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -x + 5*x - 4, -3*x = -2*c + 4. What is the third derivative of -4*v**2 - 2*v**c - v**2 - 3*v**3 + 0*v**2 wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -139819.9.\nAnswer: -139819.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i - 8. Let f(g) = -g + 1. Let u(v) = 8*f(v) + n(v). Suppose 8*r = 3*r. Let k(q) = -q + r*q + 3*q. What is k(u(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 + -1.03. Let t = 127\/476 - 2\/119. Is n less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(3) + sqrt(192)) - sqrt(3)) + sqrt(9)\/(1*sqrt(3)) - (-6*sqrt(135))\/(1*(sqrt(45) - sqrt(5))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6744 + -6744.1. What is the nearest to t in 34, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-212 - -194) + (3 - 4 - 30).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22766886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-1 - 3*-13). Let t = a - 6. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 598?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x**2 + 108*x + 14. Let q(p) = 3*p**2 - 41*p - 5. Give 11*q(n) + 4*u(n).\nAnswer: n**2 - 19*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/5 + (-18)\/30. Let q be -10*((-2)\/(-4) + -8 + 7). Solve d = 5*j - q*x - 15, 3*j = -2*j + x - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 - 343.3952014.\nAnswer: -357.3952014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811 a factor of 240053306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3812736 is divided by 1021?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 2*g**2 + 3*g - 2. Let y be l(2). Let r(n) be the second derivative of 0 - 1\/12*n**4 + 0*n**2 + n**3 - n. What is r(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(-6)\/(-9)*-12. Let g = 12 - u. Suppose -4*b + n + g = -3*n, 56 = 4*b + 2*n. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 2*h**2 + 38*h - 18*h**3 - 1965963 + 1965964 to the form t + u*h**3 + d*h**2 + i*h and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 750924304 to the power of 1\/2, to the nearest integer?\nAnswer: 27403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 11:57 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1730048869 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 61*b**3 + 11*b**2 - 54*b + 1826. Let t(p) = -12*p**3 - 2*p**2 + 10*p - 365. Let z(r) = 2*i(r) + 11*t(r). Find the first derivative of z(c) wrt c.\nAnswer: -30*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 786511 and 72644.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*p - 287*p**2 - 129*p - 2.\nAnswer: -287*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 7*a - 4. Let q be s(-6). Suppose -q*i + 12 + 6 = 0. Is 100 - 0 - -1 - (i - 6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d + 3113 = 2633 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20563104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109831673*g*o - 37261530*g wrt o.\nAnswer: 109831673*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -44*z**3 + 6*z**2 + 11*z + 3. What is the remainder when i(-2) is divided by 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - 0 - (1 - 2). Suppose 0 = -5*f + 3*k - 30, -1 = -2*f + 2*k - 17. Is -2 - f - (q + 3)*-1 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 22*y + 35. What is p(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 71 + -230c9?\nAnswer: -23058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177.4 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7857*n**5 + 187968*n**4 - 415140*n**3 + 234090*n**2 - 13917*n - 858 = 0. Calculate n.\nAnswer: -26, -1\/27, 11\/97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1933 and -1933 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 8*h + 4*h**2 - h**2 + 17*h.\nAnswer: 3*h**2 + 24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 + 492*i**2 - 297*i**2 + 989*i**2.\nAnswer: 1202*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) - 2*(sqrt(700) + 3 + sqrt(700))) + -1 + 2*sqrt(343)*-2 + -3.\nAnswer: -58*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddwddwwddwdwddd. What is prob of sequence www?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.5, -2\/15, -2\/9, -24, 5 in descending order.\nAnswer: 5, 3.5, -2\/15, -2\/9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -4.4. Let c be (-4)\/(-30) - 21\/45. Sort -2\/17, p, c in descending order.\nAnswer: p, -2\/17, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2052 - 5?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1158.74 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8618 - -c1?\nAnswer: 86d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -0*l + 2*l + 6 + 14, 5*l = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*y + 1306 - 2540 + 2224 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28528337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 2*l + 3. Let s be y(2). Suppose 0*w + w = -s*i + 18, 3*w = -3*i + 18. What is the second derivative of h - 8*h - h**2 - i*h**3 + h**2 wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1878272?\nAnswer: 2, 11, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 99*c + 114*c - 37 + 37. Let a(w) = -w. Determine x(a(q)).\nAnswer: -213*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = c - 4, -s + 4 = -4*c + 3*c. Suppose -y + 8 = y. Suppose 0 = 4*g, 2*z + y*g - 4 = 4. What is the remainder when z is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkhk when four letters picked without replacement from {k: 5, m: 1, u: 5, h: 8, v: 1}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 30*i**2 - 34*i + 38. What is the hundreds digit of z(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2. Let c(f) = f**2 - 6*f + 1 - 1 + 17*f. Let l(r) = -r. Let n be (176\/20)\/((-2)\/(-5)). Let k(u) = n*l(u) + 2*c(u). Calculate w(k(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065141 is divided by 2025.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1628 = 3*m, 1154 = 3*m + 2*x - 477. Let r = -343 + m. Calculate the greatest common factor of r and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/33, 3\/7, -1, -83?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/((o**8\/o)\/o)*o*((o**(-6)*o)\/o)\/o*o\/o**9*(o\/o**(-2\/3))\/o assuming o is positive.\nAnswer: o**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 241*i + 12 - 198*i - 12 as l + s*i and give s.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -30, 4, 36, -8 in descending order.\nAnswer: 36, 4, 2, -8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-10 + 682\/66)*9\/5\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 41. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -122833*m + 269667 wrt m.\nAnswer: -122833","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -82482?\nAnswer: -82482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + u + 8. Suppose -l - 16 = 4*q, 2*l - 5*q - 20 = 7*l. Is 3 a factor of f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 314659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1\/s*s)**(-41))**(-1\/16)\/(s\/s**(-2\/9)*s*s**(-1\/11))**(-1\/30) assuming s is positive.\nAnswer: s**(62573\/23760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15 from -11815004816.\nAnswer: -11815004801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009869 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 7 - ((1 - -2) + 2) - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*l - 426 = 0, -5*r - 145 = 5*l - 535. Solve -55 = -93*y + r*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33646472021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*v = -39, f + 0*v + 2*v = 9. Suppose 6 = -x + 4*b - 4, 30 = -3*x + 4*b. Let g = -6 - x. What is the remainder when f is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21604982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0, 106, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -373954086 times -4?\nAnswer: 1495816344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7 = -b, 0 = -3*c - b + 2 + 2. Let v be ((-9)\/(-4))\/(c\/8). Is 227\/9 - v\/27 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3941465)\/(-15)*(1\/5 - 154\/(-55)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/5)*d\/d**(-1)*d*d**(-4\/7)\/((d**1\/d*d*d)\/d)*(d*d**(2\/5))**(-1\/43)\/(d*d**3*d\/(d*d**(-1\/10))) assuming d is positive.\nAnswer: d**(-6333\/3010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4 - 21097448*w**3 + 55637767916636*w**2 + 111275599125624*w + 55637810111538 = 0. What is w?\nAnswer: -1, 5274363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g*h**5 - 2*g*h**3 + g*h**2 - 64*h**5 + 10*h**2 + 11*h - 7 wrt h.\nAnswer: -360*g*h**2 - 12*g - 3840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2254.\nAnswer: 1\/1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(13\/2)*(m**(2\/5))**(-19\/2) assuming m is positive.\nAnswer: m**(-103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 8*k**2 - 8*k + 5. Let i be g(-9). What are the prime factors of i\/24 + 93\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, n: 3, d: 2, e: 4, z: 3, q: 4}. Give prob of sequence ddqn.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 8:58 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*t + 1174, 4*q + t - 255 = -1421. Do q and -292 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 + 0*r**3 + 0*r**3 + (r**2 - 6*r**2 + 3*r**2)*(0 + 0 - 2*r**3) + 13*r**5 + 2*r**5 + 18*r**5 + 0*r**5 - r**5 - r**5.\nAnswer: 37*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*w - 56*w + 8. Suppose -132 = -4*l - 2*f, -w*f - 20 = f. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c + 3 = -21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85185 and 10426644.\nAnswer: 52133220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/65 (b) -129 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 8495?\nAnswer: 76455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1900)\/((-1700)\/(-34)) - (-4 - 8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/(-4) - 53\/((-1696)\/(-320))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*((-1)\/(-1))\/(-1). Let s be (-7)\/(-4) + l\/4. Let h = -6 - -16. What is the highest common factor of h and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 16*f**2 - 33. Let q(k) = -k**2 + 1. Let w(d) = 2*q(d) - y(d). What is the derivative of w(p) wrt p?\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h. Suppose -5*w + 29 = 2*d, 3*w + d - 11 = 3*d. Let a(i) = 13*i + 9*i + 10*i - w*i. Give a(l(q)).\nAnswer: 27*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (537\/(-1432))\/(10\/(-32))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315)\/sqrt(5) + sqrt(63))\/sqrt(3))\/(sqrt(252)*4).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r - 22. Let c be y(-3). Suppose -4*s = -4*k + 8, 4*s = -c*k - s - 31. Let t(q) = -32*q + 20. Is 29 a factor of t(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - t**2 + 2. Let p be q(2). Suppose -8*k + 39 = -1. Is k bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141068 to the power of 1\/2, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7389374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 22*i**2 + 22*i + 27. Let s be (-5)\/(-10) + 43\/(-2). Let q be v(s). Solve -q*x - 6 = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.00271 - 0.49729. Which is the third biggest value? (a) t (b) 0.1 (c) 0.2 (d) -5 (e) -1.51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 3:59 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 4. Let d be t(0). Suppose 0*f - 3*o = d*f - 195, o - 150 = -3*f. Suppose -271 - f = -2*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -322271*i**3 - 2644?\nAnswer: -966813*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - l**3 + 0*l**3 + 0*l + 3*l**3 + 0*l + (-2 - 1 + 2)*(-3*l**3 + 5*l**3 - 3*l**3) - 222*l**3 - 2*l**2 + 263*l**3 + l**2.\nAnswer: 47*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 6:05 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = -4, -6 = -a - 5*x. Solve a = -z - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60229 + 60533 = -38*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30173 (b) -41 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(330) + sqrt(330) + -2*sqrt(330) - sqrt(330))\/sqrt(11))\/sqrt(10))**2 - (0 + 4*(-5 + sqrt(9)\/sqrt(3)))**2.\nAnswer: -444 + 158*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60878 and 488?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169 - 48. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*(4 + ((-42)\/12 - (-3)\/6))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 72 = -192. Let o = 74 - j. Suppose o = 5*w - 3*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 659 - 657. Factor 0 + 1\/2*r + 1\/2*r**y.\nAnswer: r*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5849.2 - 5849. Which is the closest to u? (a) 0.2 (b) 6 (c) 9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 4. Suppose 0 - 8 = -2*a. Let c be w(a). Let q = -24 + 790\/33. Which is smaller: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 64*l**2 - 3*l**2 - 8 - 2 - 2*l - 2. Is b(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 2:34 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 638135 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: Subtract 389361980 from 6555.\nAnswer: -389355425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 61 - 66 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 1, a: 1, i: 1, z: 1}. What is prob of picking 1 i, 1 z, and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d - 3. Let o be r(2). Suppose -6*q + o = -9. Suppose t = 2, -5*t = -5*i - q*t + 74. Calculate the smallest common multiple of 28 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**7\/630 + c**6\/90 + 23*c**4\/12 - 77*c. Let f(m) be the third derivative of a(m). Factor f(d).\nAnswer: -4*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7780375.29 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304750 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 446432826 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/50060 and -1\/5416.\nAnswer: 67781240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 3, 5.\nAnswer: -19, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*p + 5*a, 2*a + 2*a = -4*p + 12. Suppose -3*u + 13 = p. Solve 5*i - 15 = -0*n - 4*n, u*n - 23 = 3*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 576 and 648?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*h**2 + 2*h**2 - 4*h**2)*(-3*h + 3*h + 5*h)*(33 + 2*h - 24 - 14).\nAnswer: -150*h**4 + 375*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 13 - 2 - (-918 - -925).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64 in 2\/9, 3\/2, 5, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 - 23*x**2 - 6*x - 18. Let o be s(-10). Suppose 3*j + 4*y = o, 5*y = j + 3*j - 1010. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11795800 to the nearest one hundred thousand.\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10673*h + 10648*h - 31998*h + 10675*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -15 (b) 2\/15 (c) 1 (d) 2.69 (e) 0.2 (f) -3\/4 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -7*t - 3*t. Let r be ((-15)\/t)\/(33\/(-44)). Solve -3*j = 5*o - 28, -j + 26 = r*o - 0*o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 9. Let t(w) = -3*w**2 + w**h + 0*w**2 + 0*w**2 - 2*w**2 - 6*w. Let s be t(6). Solve -2*l - 2*r - 8 = 0, s = -5*r + 2*r - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-255) - (-116)\/(-30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -2\/7, 0.33, 6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83 * -62.\nAnswer: 5146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (225\/27)\/((-1816099)\/3). Let c = v - -16335873480\/4574753381. Let f = -15\/229 - c. Calculate the common denominator of f and -14\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 64 = 2*x + j, 3*j = 12. Let u be -2 + 1 - (18 + -1). Let o = u - x. Solve 3*d + 2*d = o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2607 and 2017707.8.\nAnswer: 2015100.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 627 and 43512557?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 19 = 7*l + g - 12, -2*g + 11 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 g when four letters picked without replacement from pgghph.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2. Let s(o) be the first derivative of -89*o**5\/15 - 17*o**2 + 2*o + 277. Let v(y) be the second derivative of s(y). What is j(v(h))?\nAnswer: -253472*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1237 is divided by 53?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3491*m**3 + 1744*m**3 + 1745*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -761, -208, 347, 892, 1415, 1904?\nAnswer: 2347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6*(-2)\/(-4))\/(22 - 19). Solve v = -3 - u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 16*i**2 + 16*i - 14. Suppose 3*y - 45 = -5*j + j, 0 = -4*j. Determine o(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 0 + -52 + (-64 - (-86 - 19))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 7*r**3\/6 - 10*r. Let p(l) = -l. Give p(z(s)).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2439474?\nAnswer: 2, 3, 406579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 1. Let b be r(3). Let h = 6 - b. Calculate the least common multiple of h and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*u - 5373 = -25179 - 5061. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10717.4 - -1.3.\nAnswer: -10716.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0.02421 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/15*((-324)\/(-42))\/9.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j - 5. Let x be o(-7). Let b(l) = -l**2 + l + 99. Suppose y + y = 0. Let a be b(y). Calculate the highest common factor of a and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 7480.\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -607.8 - -608. Is -54 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/60 + 1)*(2 - -4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**15\/q)\/q**8)**(4\/3)*((q\/q**(2\/3))\/q)**(2\/79)\/(q**5*q**(2\/11)) assuming q is positive.\nAnswer: q**(7303\/2607)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -1, 5, 65, -19053 in descending order.\nAnswer: 65, 5, 2, -1, -4, -19053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**5\/12 + 197*o**2. Suppose 2*i = -h + i, 0 = -2*h + i + 15. Let r(n) = -n + h*n - 3*n + 4*n. Determine r(g(l)).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4024360578?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*u + 4*a + 22 = -99*u, -4*a = -3*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23051712 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*b - 1833 = 379, 4*c + 3*b - 4391 = 0. What is the greatest common factor of 400 and c?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 495810229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfkkofokkfoookcfkck. Give prob of sequence cc.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - b = 2, 0*r - 3*b + 6 = r. Let u(i) be the second derivative of 3\/2*i**2 + 0 + 2*i + 1\/6*i**r. What is the derivative of u(j) wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003117 to six decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220464 and 1087010?\nAnswer: 78264720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p = -0*p - 117 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -932*t**2 - 99721*t + 335. What is u(-107)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22176287641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -162\/13 and -13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2211200100 - -10?\nAnswer: 2211200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 5*j - 3 + 7. Let d(i) = -i - 1. Suppose 3*o - k = 87 - 33, -4*o = 2*k - 72. Calculate o*d(q) + 4*x(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -14365052043176+4\nAnswer: -14365052043172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-66) + (-215)\/((-111155)\/564)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + v**2 + 8*v**2)*(0*v**2 + 4*v**2 - 3*v**2) - 17*v**4 - 1379*v**3 + 1379*v**3 to the form k*v**2 + y*v**3 + n*v + f + h*v**4 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 - 2*b**2 - b**2 + (-b**2 + 2 - 2)*(-220 + 1337 + 209) as r*b**2 + v*b + h and give r.\nAnswer: -1325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2871.983 - -22\nAnswer: -2849.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 3*h**2 + 8*h + 4. Give t(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((13 - 22) + 11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 7 (c) 0.6 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*q**6 - 8*q**4 - 4*q**3 - 49*q**2 + 215 wrt q?\nAnswer: 4560*q**3 - 192*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n*q**2 + 6204*n*q - 433*n + 186435*q**2 + q - 4 wrt n.\nAnswer: -2*q**2 + 6204*q - 433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, h: 1, c: 2, t: 1, k: 1, u: 1}. What is prob of sequence hcxt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 9*r**5\/10 + 3*r**4\/2 + 2*r**3\/3 + 10. Factor u(b).\nAnswer: b**2*(3*b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 6*t**5 - 2444*t**4 + 31546*t**3 - 10244*t**2 = 0.\nAnswer: 0, 1\/3, 13, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 489*q**3 + 3*q**2 + 2*q - 771.\nAnswer: 2934*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59831?\nAnswer: 19, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 6*q + 13 = 4*y, 2*y - 3*q - 7 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 18. Let q(a) = 98 + k*a - 49 - 47. What is the tens digit of q(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 + 12 = 0. Let p = c + 8. Suppose -y + 23 = 3*t, -4*y + 21 + 45 = -t. What is the remainder when y is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 2.6, -4, 2?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.4 - -8. Let w = -0.12 - -0.21. Let p = -0.09 + w. What is the nearest to 0.1 in y, -3\/8, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3407, -10, 5, -4, 2, 19, -3.\nAnswer: -3407, -10, -4, -3, 2, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/1235315 and 5\/37306513?\nAnswer: 186532565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 125725210 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7343 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 13 - 334*a**3 - 2 + 336*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/32581245 and -26\/15.\nAnswer: 32581245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -393\/11 - -3158\/77. What is the common denominator of -81\/28 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*(-7)\/((-420)\/(-1700)) - 5\/3.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3422, 3414, 3406, 3398, 3390, 3382?\nAnswer: 3374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**5\/12 + v**4\/8 + v**3 + 2*v**2. Let c(w) = 6*w**2 - 3*w - 6. Let k(f) = 2*c(f) + 3*p(f). Factor k(m).\nAnswer: -3*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173257461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from jfjtfiktatffkii?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -13*n. Let x(w) = 22*w**2. Calculate x(z(s)).\nAnswer: 3718*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 16.5 and -39795850083.\nAnswer: -39795850066.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 5:09 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -622, -2405, -5362, -9481, -14750, -21157, -28690?\n\"Answer: 2*p**3 - 599*p**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pttptpwfwptwptwtppmp. Give prob of sequence wf.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1548)\/(-1032)*5\/(-9).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111.3 - -118. Let p = 7 - c. Put p, 2\/23, -5 in descending order.\nAnswer: p, 2\/23, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -113*q**4 + 223*q**4 - 113*q**4 + 3*q**5 - 3*q**3 + 3*q**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/10 of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.876749 to two decimal places.\nAnswer: 20.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = v + v. Suppose -23 = 3*g - v. Let i = g - -8. Solve a = i*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-215754)\/378 + (-2)\/9)*-7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -8, -10\/11, -5, -7?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -24*-4*4\/(-80)*(-75)\/120. Put -9, 2, w, -19 in decreasing order.\nAnswer: w, 2, -9, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018386 to seven decimal places.\nAnswer: -0.0000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 - -1)*4\/(-12). Let k be (4\/f)\/4*(-1 + 7). Find the second derivative of -11*c + 0*c + 611*c**2 + c**4 - 611*c**k wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2\/8 + 3 + 460\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1860\/55 - (2 - 48\/22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 3684302874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.97697 microseconds to seconds.\nAnswer: 0.00007997697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**2*u**5 + 90*i**2 - 33*i*u**5 - i*u**2 wrt u?\nAnswer: 60*i**2*u**2 - 1980*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from zvvvrdvrzdvvvvdzv.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29\/105 + -2\/35. What is the closest to -2\/7 in 0, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102472939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50259997)\/7 + 3\/(-7). Round o to the nearest 100000.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.183 + 301.183. Let u = -299 + n. Let c = 3.94 + 0.06. What is the biggest value in u, c, -2, -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2 - 6*c + 8*c**2 - 2*c**3 + 2 - 5 + c**3. Is u(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*r**2 + 7020524*r - 458810013 wrt r?\nAnswer: -26*r + 7020524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 115349718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 12:02 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, l: 2}. What is prob of sequence kl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -2188820\nAnswer: 2188824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3371269, -6742616, -10113963, -13485310, -16856657?\nAnswer: -20228004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-624)\/8)\/(-4 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31993414*z = -31993451*z - 2257 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/(2\/32). Let j be -6 + 18\/(-24)*(-24)\/(-9). Is d greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 2) + 1 + 1 + (19058 - 19014)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4340*p + 1041606. Determine d(240).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**2\/7 + 48\/7 = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72 + 138 - 48*o - 57 + 71*o to the form h*o + t and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 5*t**7\/28 + 11*t**6\/10 - 33*t**5\/20 - 4*t**4 + 17*t**3\/4 + 15*t**2\/2 + t - 21. Suppose y(i) = 0. Calculate i.\nAnswer: -5, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*q + 24037 - 63481. Suppose -3*x + 4*s + s + 35 = 0, 2*s = -8. Suppose -3*r - x*l + q = -3*l, 2*l - 690 = -4*r. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1532*b - 18801*b + 7107*b - 51190*b.\nAnswer: -64416*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/422499 and 199\/186186.\nAnswer: 10984974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from wwlczwl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzs when three letters picked without replacement from {q: 3, s: 3, k: 1, b: 2, z: 1, c: 3}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 3*j**2 - 4*j + 3. Let a be z(2). Let w be (-52)\/(-60) - (2 + a). What is the closest to w in 2\/5, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 2780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 255 + 13215 = 0. Suppose 9*o - i = 4*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f + 30. Let i = 4 - f. List the prime factors of ((-4)\/i)\/((-3)\/(-90)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*g - 5*g + g)*(-1 - 3 + 2) + 4*g - 3*g + g)*(2*g**2 - 4*g**2 + 3*g**2 - 3*g**2 + 2*g**2 + 2*g**2 + (1 - 1 + 2)*(g**2 + 4*g**2 - g**2)).\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3992 is divided by 207.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-1)*t)\/(t\/(t\/t**(-4\/3))))\/(t**(1\/4))**(-32)*(t**(-3)\/(t\/(t\/t**3*t)*t*t))**(3\/8) assuming t is positive.\nAnswer: t**(209\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 800?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + 0 + 0 - 3*k**2 - 3 - k + 3 - 2*k**2 + 0*k**2 + 4*k**2 + (3 + 0 - 1)*(k**2 + 2*k - 2*k) - 1 + k**2 + 1.\nAnswer: 4*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1644, 1713, 1768, 1803, 1812, 1789, 1728?\n\"Answer: -g**3 - g**2 + 79*g + 1567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 377 = 17*w - 4*i, 0 = -w + 3*i + 83. What is the highest common factor of w and 2233?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3207905624 to the power of 1\/2, to the nearest integer?\nAnswer: 56638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.2 from -0.3.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -58*s**2 - 80*s + 28. Let a(w) = 10 - 89*w + 32*w + 30*w - 19*w**2. Let o(b) = -14*a(b) + 5*f(b). What is the second derivative of o(y) wrt y?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*a = -a - 2, -5 = -w - 4*a. Suppose 0 = 4*s + 3*c - w, 5*s = 4*c - 3 + 43. Let q(x) = x - 3. Determine q(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/(-64)*(-2)\/(-3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Let v = -24 + 34. Calculate the smallest common multiple of (-2)\/(1\/(-8)*q) and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -17038563.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1872485*u*z**3 - 452*u*z**2 + u*z + 16*u + 5*z**2 + 7 wrt z.\nAnswer: 11234910*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 136\/714 + 0 + 4\/6. Factor z*c - 4\/7*c**2 + 0 - 2\/7*c**3.\nAnswer: -2*c*(c - 1)*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. Suppose 3*l - 3*h + 18 = a*l, -4*h - 16 = 0. Let u be ((-1)\/(-3))\/(5\/l). Solve q = -5*s - 4, 5*s + q + 12 = -u*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8297308 and 5.\nAnswer: 41486540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*n + 21. Let u(d) = -d + 5. Let t be u(n). Solve 3*f = -0*f - t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 0*y**2 + 17*y - 3\/4*y**4 + 0 + 7\/20*y**5 + 0*y**3. What is the third derivative of m(v) wrt v?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4 + 189*m**3 + 3561*m**2 + 17955*m + 23226 = 0. What is m?\nAnswer: -7, -2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10915 (b) 0.1 (c) 5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + -2*sqrt(363)) + -5 + -1*(-1 + sqrt(147)).\nAnswer: -51*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1522974, 1522994, 1523014, 1523034?\nAnswer: 1523054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 13) in base 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49 - -2977549?\nAnswer: 2977500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1761 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1412.2 from -0.5.\nAnswer: 1411.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 18*p - 52 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/84)\/(30\/(-1620) + 2 + -2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 37 = 162. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486751752 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 13*q**2 - 10*q + 118. What is the tens digit of u(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v - 47*v + 5 = 0. Suppose v*q - 3689 - 1046 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 + -2822)\/(-6 - (-64)\/11) a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h - 2. Let t(j) = 78*j + 27. Give 54*b(s) + 4*t(s).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308962?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - f - 2. Suppose 4*c - 45 = -5*h + 3, 27 = 3*h + 3*c. Suppose 9*b = h*b - 105. Suppose 6*p = -z + p + 23, 5*p = 5*z + b. Determine j(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.371 - 7.371. Let s = 20 - 18. Which is the nearest to 1\/2? (a) l (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 plus 136.9?\nAnswer: 136.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g - 5. Suppose 24 = -4*w - c, 4*w = 3*c - 28 + 4. Is l(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -25, 2.\nAnswer: -25, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52141585467 minus -6?\nAnswer: 52141585473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/(2\/99). Let p = 49 - w. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(2*z - 2*z - 2*z)*(-68 - 92 + 38) - z - z + 3*z to x*z + d and give x.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - y - 3)*(3 - 6 + 2) + (-5*y + 3*y + 0*y)*(0 + 1 + 0) + 2*y + 0*y - 3*y)*(429 - 429 - 142*y).\nAnswer: 284*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -167 and 848.3677.\nAnswer: 681.3677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000073802 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10113 (base 4) to base 6.\nAnswer: -1143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5363 + -343?\nAnswer: -6036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 3*q + 2*q)*(q**2 - q**2 + q**2) + 14*q**3 - 461*q - 13*q**3 + 460*q + 380.\nAnswer: 2*q**3 - q + 380","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -555373036 + 1?\nAnswer: -555373035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-657)\/73 + (22 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28366072, 28366067, 28366046, 28366003, 28365932, 28365827, 28365682?\nAnswer: 28365491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 2*z + 1. Calculate y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390 + 79 = -27*u + 10 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5009*a**2. Let t(m) = 3*m**2. Give x(t(i)).\nAnswer: -45081*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -1. Let q = -24 - -23. What is the closest to q in 5, j, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - l**3 - 2*l**3 + (l**3 - 3*l**3 + l**3)*(-1 + 4 - 15).\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185195\/79926 + 4\/3633. Let v = 12 + -32. Calculate the common denominator of (-42)\/v - (-3)\/12 and r.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*x - 55 + 180 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.94931 + 0.05069. Which is bigger: 1.9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-1 + 7 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20355.\nAnswer: 3, 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -460184438708 - 0.5.\nAnswer: -460184438708.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4 = -5*l, -5*l + 16 = -2*s - 2*s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -167, -204, -267, -362, -495, -672, -899, -1182?\n\"Answer: -r**3 - 7*r**2 - 9*r - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 12*m - 65, -224*u - 218*u - 4*m = -440*u - 18 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -2*l - 1 - 0, d + 4*l + 3 = -6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -22220321?\nAnswer: -22220312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8518518*p + 734229 wrt p?\nAnswer: 8518518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.3, -4.3, 1\/6 in decreasing order.\nAnswer: 5, 0.3, 1\/6, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 4:03 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.032*-1\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15805, -15796, -15767, -15706, -15601, -15440, -15211?\n\"Answer: 2*h**3 - 2*h**2 + h - 15806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6048\/3456)\/((-7)\/(-76)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4 + 238796*z**3 - 9499938336*z**2 + 125766118824192*z + 6312085649049600 = 0.\nAnswer: -50, 39816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36135 and 26422715?\nAnswer: 4015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2212 and 3147044?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-4 - 1) + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 4, -0.5, 32\/3, 100, 18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 522, 987, -1 in increasing order.\nAnswer: -1, 522, 987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - (-24 + (-10 - -14))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428523 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 10 - 27 = -5*z, -4*z + 8 = -4*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.44*5.\nAnswer: -142.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 21. What is the hundreds digit of (212\/m)\/((42\/60)\/(-7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 91, 4.\nAnswer: -2, 4, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -189*u**3 - 5 + 227*u**3 + 3*u + 8 + 376*u**3 wrt u?\nAnswer: 2484*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + sqrt(432)\/sqrt(6) + -1 + (sqrt(800) - (1 + sqrt(800))).\nAnswer: -5 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -1, -3, -0.1, 1\/5, 2\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3934 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53997269 to the power of 1\/2, to the nearest integer?\nAnswer: 7348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)\/p**(-35))**1 assuming p is positive.\nAnswer: p**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -210018400 divided by 10?\nAnswer: -21001840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39944603823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - 1 - (-53 - -56) - -28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-27))\/(-7)*2\/(-4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3*w - 15, s - 2*s = -5*w - 25. Suppose -3*m - k - 2*k = 48, -4*k + 8 = s. Is 7 a factor of 4 + 1*-2 - m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, h: 9}. Give prob of picking 2 b.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 245335 + -155906. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1658011 is divided by 43626?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (244\/1647)\/((-2)\/(-21)*4\/(-4))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**5\/60 + 19*r**4\/24 + r**3\/3 - 11*r**2 + 3*r. Let m be s(19). Solve -c - c = m*z + 4, -2*z = 5*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 137*h - 3799. Determine l(98).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531109 is divided by 346?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**3 + 29*n**2 + 220*n + 2323. Let w be u(-10). Determine g so that -529 - 1\/4*g**2 + w*g = 0.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = 3. Suppose -i*k = 5*z - 28, k - 3*k - 32 = -3*z. Let x = -118 + 118. Solve -17 = -3*a - v - z, a + v - 3 = x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51479497*w**3 - 219152*w**2 + 23 wrt w.\nAnswer: 308876982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -122*z**7\/105 - 60*z**3 - z**2 + 257*z. Find the first derivative of x(r) wrt r.\nAnswer: -976*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b1 (base 15) to base 5.\nAnswer: -11331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.04, -0.02, 6\/119, 0 in descending order.\nAnswer: 6\/119, 0.04, 0, -0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -326 and -0.04726.\nAnswer: -326.04726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23698 + 23201.59. Let p = b + 2.41. Let i = 494.00000377 + p. Round i to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*k - 287*k + 6285 = -817 - 1088 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96461 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20161*c - 20158*c - 4*z + 5*z - 5, -2*c - 2*c + 2*z + 40 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 3:38 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 41.11. What is the second biggest value in -0.5, v, 6, -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1353114?\nAnswer: 2, 3, 7, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -186*n + 2472 - 19 + 895 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 6*a**2 + a + 8. Let m be r(6). Suppose -m*h + 12562 = 8*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -11*q**3\/3 - 3*q**2\/2 + 1. Let v(z) be the third derivative of z**4\/12 - 36*z**2 + 18. Determine r(v(d)).\nAnswer: -44*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1544, 6157, 13816, 24497, 38176, 54829, 74432?\nAnswer: 96961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 16 + 29)*(857*l - 857*l - 60*l**2)*(0*l + 0*l - 3*l).\nAnswer: 4500*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -579*l + 22. Is o(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1325 + -1311 + (8 - -2 - (6 + -4)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46719 and 3470517?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbqqqqbqq. Give prob of sequence qq.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 59*b - 590. What is the hundreds digit of m(47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-1))\/((-2)\/170). Let s be (-5)\/125*(10 + -1005) + (-5)\/(-25). What is the greatest common divisor of z and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**4 - 3*b**4 - b**4 + (3*b - 3*b - b)*(0 + b + 0)*(-28 + 28 + 20*b**2) to o*b + l*b**3 + x*b**4 + u + k*b**2 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/110305 and -29\/55926?\nAnswer: 474532110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1274, -10574, -35820, -84986, -166046, -286974, -455744?\n\"Answer: -1329*z**3 + z**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = p + 3*j - 29, 0 = -2*j - 4. Suppose v - 6 - 5 = 0. What is the greatest common divisor of p and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*a + 169*a + 337*a + 424*a.\nAnswer: 1079*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -14*m + 8*m + 2, 11*m = -4*r - 4 + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1019, -1163, -1307?\nAnswer: -1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -39743 at least as big as -39746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6, 4*y - 1 = 5*l + 5. Suppose -5*v - 4*d = -4*v - y, -d - 35 = -2*v. Solve -a - v = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 6*i + 1\/6*i**3 + 0 + 1\/2*i**6 + 0*i**5 + 0*i**4 + 0*i**2. Find the second derivative of n(z) wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 6*l = -11*k + 26*k - 126, 4*l = 3*k - 89 - 48 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 13, i: 5}.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 8. Let b(u) = -184*u + 48. Calculate b(d) - 6*h(d).\nAnswer: -178*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -289 + -11?\nAnswer: -29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8256 is divided by 92?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/6)\/(-4 + 34\/9). Suppose l + 164 = z*f, 48 + 112 = 3*f - 2*l. Suppose 10 + f = 3*v. Calculate the smallest common multiple of v and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1870 and 105842?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-207.\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*k**2 + 15*k - 225\/2 = 0. Calculate k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*s = -61, -q + 0*q - 3*s + 7 = 0. Let b = -11 + q. Factor -4*i**b - 45 + 9 - 18*i - 6*i.\nAnswer: -4*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buu when three letters picked without replacement from {u: 4, b: 16}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 381841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*w**4 + w**3 + 370*w**2 - 25909*w wrt w.\nAnswer: -156*w**2 + 6*w + 740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = -14. Suppose -80 = -4*u - b*p, -2*u = -3*u - 3*p + 14. Let q be u\/(-5)*(-6 - -1). Calculate the greatest common divisor of 161 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3214 + 702. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 - 4*h**3 + 5*h**2 - 2*h.\nAnswer: h*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139 + 2*t**2 + 706*t**4 + 75 - 11 + 193*t**4 + 129*t**4 wrt t.\nAnswer: 4112*t**3 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -40. Let b = y - -17. Let t = 16.78 + b. What is t rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 384\/150611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -11 + 0 + (-2)\/(-2). Let v(h) = h**2 - 4*h - 7. Let w be v(1). Is i > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12754 - 460. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467.4467832 rounded to the nearest 10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**3 + 6*j**2 + 15*j + 11. Let s be y(7). Suppose -25*q + s = 568. What is the remainder when q is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - -0.5. Let a = g + -5. Let l = -36\/205 - 1\/41. What is the third biggest value in 1, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - 238?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -9 - (331 + -319) - (-2 + 13 + -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, i: 4, y: 3, g: 1}. What is prob of picking 2 q and 2 i?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - sqrt(170)*4 - sqrt(170))*-6*-1)\/(-5*-2*sqrt(10) + sqrt(30)\/(sqrt(3) + sqrt(75)))*1.\nAnswer: -144*sqrt(17)\/61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19856 = -f + 14404. Let o be (f\/50)\/((-1)\/(-5)). Let h = o - 1297. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Let o(m) = m**2 - 3*m + 4. Let p be o(l). What is the nearest to 0 in 5, p, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 2*z + 2. Let i(u) = 5*u**3 + 8*u**2 + 9*u - 4. Suppose -k = 3, -7*k + 5*k = -3*p + 9. Let n(l) = p*i(l) + 2*w(l). Factor n(r).\nAnswer: 5*r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*-4*4 + (sqrt(891) - (0 + sqrt(891)) - sqrt(891))*-2 - (4 + sqrt(891) + 2 - (sqrt(891) - (2 + sqrt(891) - sqrt(891)))*-3))**2 + -1.\nAnswer: 288683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24023014 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35898?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2841393?\nAnswer: 3, 19, 79, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (9\/36)\/(7\/8)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**2 + 5560931*t + 30034543?\nAnswer: 2*t + 5560931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19795051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(2\/2 + 1). Suppose 3*d - 6*o + 7 = -2*o, -k*d + 3*o = 0. Let b(g) = -g - 3. Determine b(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 8. Let z be g(-11). Let i be z\/7 + 92\/84. Put 0.4, -4\/7, i in ascending order.\nAnswer: -4\/7, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**5 + 11695*z**4 - 804030*z**3 - 2517460*z**2 - 46840*z + 3356640 = 0.\nAnswer: -2, 1, 74, 2268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -10. Let d(b) = 7 + 15*b**2 - z*b + 0 - 2 - 2. Is d(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -11, 3 in ascending order.\nAnswer: -11, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 11:12 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -8, -27, -64, -125, -216?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-5 - 966\/(-196)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -65*c + 275. Calculate g(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 - 287\/(-28) - 428225\/(-28) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 38*w - 34*w. Which is the third biggest value? (a) -1\/5 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/3)\/(6\/9). Which is the nearest to -1? (a) 0.2 (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {w: 2, n: 2, a: 5, d: 4}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -928 - -919. What is the third biggest value in 0.5, 2\/3, i, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -9 - 6) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 68000 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i + 6*i - 4*i. Let c(t) be the third derivative of 1\/6*t**4 + 0 + 0*t**3 + 38*t**2 + 0*t. What is c(r(u))?\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 911 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 5*n + 2. Let t be g(-3). Let q(y) = 2 + 11 + 2 - t - y. Let p be q(5). Calculate the highest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -1046?\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (40\/6)\/(16\/24). Let i = 20 - f. Suppose 3*l + 132 = 2*k, 3*k + 3*l - 178 + i = 0. What is the highest common factor of 40 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -435993.375397?\nAnswer: 435993.875397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, g: 1, r: 1, u: 1}. What is prob of picking 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 x, and 1 b when four letters picked without replacement from tystbttx?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**9\/60480 + l**8\/5040 - l**7\/1680 - l**6\/240 + 2*l**5\/15 + l**2. Let j(h) be the third derivative of z(h). Determine j(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 384997 + 3775*i - 384997 + 0*i - i + 2*i + (-3 + 5 - 4)*(0*i - i - i) as k*i + h and give k.\nAnswer: 3780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z\/z**24)\/z*z*z)\/z)**(-2\/113)\/((z\/z**(-2\/9))\/z**(2\/15)))**32 assuming z is positive.\nAnswer: z**(-113824\/5085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 9*x**2 + 12. Let f be 75*(7\/5 + -1). Suppose -f = -4*z - 0*r - 2*r, -5*z + 5*r = -60. Calculate the least common multiple of 6 and t(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + 0 + 0 + 0*z**2 + z**5 + 0*z**2 + z**5 + 0*z**5 - 3*z**5 + (4*z - z**2 - 4*z)*(z**3 + 0*z**3 + z**3) - 2*z**5 - 3*z**5 + 3*z**5.\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 2*d + 15, 0*r = -2*r + d + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184126.\nAnswer: 2, 53, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/38 + (-6988)\/(-38). Calculate the remainder when (-9)\/(9\/5) + u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22352, -44878, -67590, -90500, -113620, -136962, -160538?\nAnswer: -184360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3877645.\nAnswer: 5, 457, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4\/5 (b) -11 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884801775?\nAnswer: 3, 5, 11, 13, 82499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t**3 - 16*t**2 - 2*t + 7. Let z be a(-3). Calculate the highest common factor of 250 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.3 (c) 632\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -162*y**2 + 1268*y + 7. Calculate n(8).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = 148 + 192. What is the units digit of 1*((-78)\/(-65))\/((-1)\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2 - -0.8. Let v = -64 + 58.9. Let s = h + v. What is the closest to s in -0.4, 1, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.189 - 1.559. Let g = -1.37 - u. Let n = 10 + -8. What is the nearest to g in n, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1389 + -528. Suppose -3*h - 3*j = -1372 + 526, 3*h = 2*j + w. Calculate the greatest common factor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxwwwwwxwwxw. What is prob of sequence xwwx?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 58 (base 16) to base 13\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdb when three letters picked without replacement from ccccbccccdbdddcbb.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86444283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 1 + -6 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1382*1.\nAnswer: 0.1382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/126)\/((-3)\/9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -98 - ((6 - 1) + -3). Does 9 divide k\/(-3) - 3\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-3)*12\/8. Suppose 0 = 3*k + c*k. Suppose 2*a + 3*d = 6*a - 6, k = -2*d + 4. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0451 - 0.6551. Let d = q - -7.61. Put d, -0.4, 4 in decreasing order.\nAnswer: d, 4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 + y**3 - 2*y**5)*(-74 - 189 + 18).\nAnswer: 490*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2959661330 is divided by 10329.\nAnswer: 10328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85672 is divided by 336?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 + (-78)\/36. Suppose n + 1 = r, 47*r + 3*n = 48*r + 1. Let k = 75 + -378\/5. Which is the third smallest value? (a) s (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = -2*g + 9*d, -3*g + 4*d + 11 = 0. Find the common denominator of (-159)\/11*1\/(-15) and -1 + -1 + g - (-7467)\/2565.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) + sqrt(78)*-2))*3 - (sqrt(78)*1 - sqrt(78))*-3)\/(sqrt(486)\/sqrt(9) - -3*sqrt(24)\/sqrt(4)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/2526678 and -5\/721908.\nAnswer: 5053356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.24 - 0.3328849?\nAnswer: 54.9071151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-694 + 401 + 453)*(-2*j**4 - 2*j**4 + 3*j**4).\nAnswer: -160*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 19*r - 75. Let l be t(22). List the prime factors of 19 + ((-30)\/l)\/(4\/(-6)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/5))**(-2\/23)\/(h\/(h**5\/h)*h*h\/(h*h\/((h\/h**(-2\/13))\/h)*h*h))*(h**8\/h**5)\/(h*h**(1\/3))**(2\/129) assuming h is positive.\nAnswer: h**(4497364\/578565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 28490 = -39*o. Suppose -2*w + 9 = -73. Calculate the remainder when o is divided by w.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*o**3 - 3*o**2 + 2*o**2 - 33*o - 4 + 18*o**3 - 12*o**3 + 9*o**3 to the form c*o + t + a*o**2 + q*o**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 - -90. Let w(p) be the second derivative of p**3\/6 - p**2 + p. Let h be w(o). Calculate the highest common divisor of h and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 - 3*s**3 + 5 - 2*s - 8 + 2*s**3. What is l(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1496 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 - k**2 + 123503*k + 123498*k - 247001*k - k**2. Let o(c) be the first derivative of -4*c**3 - 1. Give o(z(f)).\nAnswer: -300*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 31703099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -46. Suppose -8*j + 6*j = -p. Let g(a) = -3*a - 5. Let y(t) = 9*t + 14. Determine j*g(q) + 6*y(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -587*b + 225718 = 228653 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11192150 and 4476860.\nAnswer: 22384300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 29*u**3 + 37*u**2 - 2*u**4 + 8*u - u**2 + 11*u**3 + 14*u**4 = 0.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106.997 - -0.003. Let r = 106.907 - h. Round r to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 7*x**4\/4 + x**3\/3 - x**2\/2 - x - 1. Calculate q(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 70265218, 70265223, 70265228, 70265233, 70265238?\n\"Answer: 5*w + 70265213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 1. Let r be w(-7). Let b be r\/2 - 2\/2. Solve 0*u - 4*u = 5*l - 15, -l + b*u = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348904150 and 1075.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Suppose m + 2*m = 12. Suppose 2*r - 5*t = -10, -2*r + t + 2 + m = 0. What is the smallest common multiple of r and k(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -36, 1\/22, -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/22 - 4\/22. Suppose 1 = o - w*o. Suppose m - 3*r - 2 - o = 0, -28 = -2*m - 5*r. Calculate the highest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (-2 + 2 + -10). Let m be (-8)\/20 - (-1)\/(-5). Let n = -27\/34 + 47\/102. Put d, m, n in descending order.\nAnswer: d, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 12974480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 22.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 7*k + 2*p = -610, 595 = 5*k + p. What is the remainder when 3597 is divided by k?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 6:12 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1004*v**4 + 5*v + 37.\nAnswer: -12048*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218656480?\nAnswer: 2, 5, 7, 195229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -24. Suppose -3*w + 18 = 3*g, -8 + 14 = 4*g - 2*w. Suppose -g*s + 27 = -45. What is the lowest common multiple of x and s?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.852814 nanoseconds in milliseconds?\nAnswer: 0.000007852814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86 (base 16) to base 15.\nAnswer: 8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249941 is divided by 7121.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5569354, 5569357, 5569360, 5569363, 5569366, 5569369?\nAnswer: 5569372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8736736 * -0.042.\nAnswer: 366942.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*n**5\/7 + 274*n**4 - 218446*n**3\/7 + 5284130*n**2\/7 - 961832*n + 237888 = 0. What is n?\nAnswer: -413, 1\/3, 1, 36, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(4\/(-1)) + -629. Let z be (-4)\/3 - h\/6. Find the second derivative of -104*v**4 + z*v**4 + 7*v**5 + 12*v wrt v.\nAnswer: 140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4386, -16323, -35942, -63243, -98226, -140891?\nAnswer: -191238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15989 and -6.9.\nAnswer: -1.103241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/7*((-4)\/3)\/((-40)\/12)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3766 and 319641133?\nAnswer: 1883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1325 in 2, 1\/4, -3, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w = 25 + 59. Solve 20 = -w*r, 3*x - 2*r + 26 = -6*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v**2 + 220*v + 38. Calculate the remainder when b(35) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*d - 80*d = 0. Is d greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 8:04 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 14*c**2. Let i(n) = -n - 5. Let f be i(-7). Let v be 2 - (f + 2) - -5. Let o(k) = 771*k + v*k**2 - 771*k. Give t(o(m)).\nAnswer: 126*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-168))\/((6\/(-9))\/2)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from {m: 5, y: 2, l: 1, t: 1, a: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is bf01 (base 16) in base 13?\nAnswer: 19344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (266 - 17*b - 266)*(22 - 7 + 4) to s + k*b and give k.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -11\/6, -0.3, 0.4, -0.5 in descending order.\nAnswer: 3\/2, 0.4, -0.3, -0.5, -11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -3. Let g be ((-9975)\/(-504) - 20)\/((-2)\/((-16)\/(-10))). What is the third biggest value in r, -8, g?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 11:11 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1115 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2591 + -1382. Let y = b - 657. List the prime factors of y.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2312*f - 36986. Determine z(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 9*y + 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t + 7*t)*(t + 3*t - 3*t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/9 - 8236*t**2\/9 - 5663762*t\/9 - 119533024.\nAnswer: -2*(t + 403)**2*(t + 3312)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and 297935?\nAnswer: 387315.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/4)\/(y*(y**(-3)\/y)\/y)*(y\/(y\/(y*y\/(y\/(y\/(y\/(y**(-2\/3)\/y))*y)))))**(-27) assuming y is positive.\nAnswer: y**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18492 divided by -353\nAnswer: -18492\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -124 and -5?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -123756039?\nAnswer: 123756038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/3 (b) 2\/9 (c) -1\/2 (d) -3\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**2\/2 + 5734. Let m(o) be the second derivative of -15*o**4\/4 + o. What is m(w(u))?\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 3*d**2\/2 - 10*d + 2. Let u be c(7). Solve 1 = -4*v - u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 2:45 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020.445504 less than -154.73?\nAnswer: -1175.175504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -24548 (base 13) to base 4\nAnswer: -100103333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3924795 by -15.\nAnswer: 261653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 96230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2581006406?\nAnswer: 2, 11, 117318473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 9*i + 41*i - 736 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99 + -35. Suppose -191 = 5*x + k. Let m = -34 - x. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 49. Let b(a) = -4*a**3 - 2*a**2 + 6*a - 6. Let m be b(j). Let w = 36 + m. What is the remainder when 4 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 574*h - 2. Let o(w) = w + 10. Let j be o(-5). Suppose j*l = -0*l + 15. Let v be i(l). Round v to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4062998.65 from -0.28.\nAnswer: -4062998.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s. Suppose 3*q + 7 + 2 = 0. Give i(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, h: 4}. What is prob of sequence hhvh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 961987?\nAnswer: 1\/961987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/7 - 72*f**3\/7 + 547*f**2\/7 - 474*f\/7 = 0. What is f?\nAnswer: -79, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 0 + s + 1\/6*s**4 + s**2 + 0*s**3. Let o(a) = -a**2 + a - 2. Let d(z) = -2*i(z) - 3*o(z). Give d(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 31*n**2 + 2*n - 2. Let z(c) = 4*c - 4. What is the remainder when g(1) is divided by z(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18236340816 and 7.222?\nAnswer: 18236340823.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21243157*u + 6965285 wrt u?\nAnswer: 21243157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 21. Let n be w(16). Suppose 337 = -n*s + 1402. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/213? (a) -0.7 (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 6:51 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 t, and 1 j when four letters picked without replacement from {e: 1, t: 1, j: 4, y: 9}.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 398981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.52 + -1.398. Let o = 0.082 - i. Which is the nearest to -0.1? (a) 0.1 (b) -4\/5 (c) o (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*-1*(11\/22)\/(3\/(-6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 79*d**3 - d**2 + 5*d. Let g(b) = 39*b**3 - b**2 + 2*b. Give 5*g(c) - 2*p(c).\nAnswer: 37*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5\/11 + 132768*r**4\/11 - 929438*r**3\/11 + 217276*r**2 - 2655624*r\/11 + 1062256\/11 = 0.\nAnswer: -66391, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13492 is divided by 71?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*r = z + 345*r + 1, -5*z + 11 = -4*r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.446967 years?\nAnswer: 0.08446967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: de1aa (base 15) to base 2\nAnswer: 10101100010011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84092335 to the power of 1\/2, to the nearest integer?\nAnswer: 9170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331666 is divided by 1002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2692 = 22*m - 2516 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from atqaqac.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*d - 3*d - d**2 + 68*d to z*d**2 + y + j*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.22221 and -2.\nAnswer: 0.44442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1928 and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*3\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 21*k**2 + 44*k + 34. Let p be i(23). Which is the third biggest value? (a) 1\/4 (b) 3\/2 (c) 0.5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2\/3 + 3150*c + 9455\/3.\nAnswer: -5*(c - 1891)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(((-33)\/(-108))\/11). Let k = 94 + -2. Suppose -5*v + k = f, 4*v - f - a = 43. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2 + -1)*-3. Let w be h\/3*(0 + -3). What is the remainder when 20 is divided by -1 - 2*4*w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/54 and -131\/150?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 - 3*s**4 - 204360 + 5*s**3 + 204230 as g*s**3 + t*s**2 + i + w*s**4 + n*s and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1000110100010001 (base 2) to base 7\nAnswer: -210200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 117?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - -33 - (9\/(-4))\/((-123)\/(-533)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = 1. Let m = 4 - 9. Let w(j) = j**3 - 4*j**2 - j + 4. Let r be w(4). Sort r, m, l.\nAnswer: m, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 4*r**2 - 4*r**2)*(0*r**3 + 3*r**3 + 4*r**3) + (-r - 2*r + 5*r)*(-r**4 + r**4 + r**4) - r**4 - 3*r**5 + r**4.\nAnswer: -15*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*k**3*q**2*x**3 - 407*k**3*x**2 - 17*k**2*q**2*x**2 + q**2*x - 3107*q*x**3 wrt x.\nAnswer: 186*k**3*q**2 - 18642*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**5 + 0*c**5 - c**5 + (6 - 6 + 7*c**3)*(3*c**2 + 0 + 0) + (1 - 3 + 0)*(c**5 + 2*c**5 - c**5).\nAnswer: 19*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 84.9984 and 19?\nAnswer: 1614.9696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4860, -4863, -4866?\n\"Answer: -3*a - 4857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3. Let r(c) = c - 1. Let l(d) = d**3 - 6*d**2 - 13*d - 128. Let z be l(9). Let s = -2 - -4. Calculate s*r(n) + z*t(n).\nAnswer: 2*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*i)\/((i\/((i*i**(-2\/51))\/i*i))\/i*i)*(i\/(i\/i**14))**1 assuming i is positive.\nAnswer: i**(814\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 11 - (-10 - (-1 - 4) - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -27*w**2 + 5*w - 5. Let j(u) = -13*u**2 + 2*u - 2. Let r(f) = 2*b(f) - 5*j(f). Let c(o) = -o. Give c(r(a)).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*c - 2*z - 54, z = 5*c - 178. Let a = 1069 + -553. What is the remainder when (-10)\/3*a\/(-10) is divided by c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*v**2 + 110*v + 24.\nAnswer: -(v - 4)*(29*v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91487 and 671?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*m - 42*m - 388. Put -11, 5, m, 1 in ascending order.\nAnswer: -11, m, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:30 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -76 - 4. Suppose 2*v - v - x = 3*i, 0 = 4*v + i - 132. Suppose 4*j + 0*j - v = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 983 - 983.516. Round w to two decimal places.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**2 - 5. Let z be 5\/(-1 - 0 - -2). Let t(i) = 1 - 3 - 108*i**2 + 314*i**2 - 5 - 118*i**2 - 97*i**2. Calculate z*t(x) - 7*p(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/((-15)\/(-600)*10). Solve 0 = -3*v - 12, 5 = -5*r - 3*v - x*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 1698 + 822 = 0. Is 60 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/5)\/k*k)\/(k\/((k*k**(-1\/18)*k*k)\/k)))**(-23) assuming k is positive.\nAnswer: k**(-2369\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-15\/8)\/y)\/(y\/(y\/(y**(-21)\/y))))\/((y**(12\/7)*y)\/(y*y*(y*y**(4\/27))\/y)) assuming y is positive.\nAnswer: y**(28061\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, c: 11}. Give prob of sequence mcm.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 107740931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - p + 537. Suppose 3*f - 10 = -0*w - 2*w, -20 = 4*f - 4*w. Is u(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1031\/7620 + 1\/508. Let w = 116.09 + -116. What is the second biggest value in w, a, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 2271.3 (c) -0.2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (4266\/(-306) + 23).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83 - 10.73.\nAnswer: -93.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11212 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -109, -149, -263, -487, -857, -1409, -2179, -3203?\n\"Answer: -6*u**3 - u**2 + 5*u - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14 - 9 - -9) + -2. Let b(w) = w**3 - 7*w**2 + w - 3. Let n be b(7). Solve v - 4*h = 16, 4*v + n*h - h = -m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 462 - 461.9894. Let u = f - 0.0106. Which is the closest to -1\/14? (a) -1\/4 (b) u (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3) - (-1)\/(-3). Let y = 969 - 966. What is the closest to y in -2, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 5*p + 5. Let j(o) = o - 1. Let l(y) = h(y) + 5*j(y). Let b(s) = -2*s**2. Give l(b(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**7\/2520 + 2*u**4\/3 - 5*u. Let v(h) be the third derivative of p(h). Let a(c) = -4*c. What is v(a(q))?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 26*w**2 - 23*w - 106. Let d be f(27). Sort -10\/7, 3\/8, d, -8.\nAnswer: -8, -10\/7, 3\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 19*v = -1050. Calculate the lowest common multiple of 77 and v.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*((p + 0*p + p)*(5*p - 5*p + p**2) - 2*p + 2*p - 3*p**3 - 2*p**3 - 3*p**3 + 7*p**3).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by -12011.\nAnswer: -124\/12011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -87, -196, -349?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2*f**2 - 82*a**2*f - 804*f**2 with respect to a.\nAnswer: 6*a*f**2 - 164*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 - 3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/80*(-72)\/18)\/(-6*(-2)\/70).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7862, -7864, -7866?\nAnswer: -7868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 11) to base 8\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*-77*57\/627?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*y - 8*y. Suppose 0 = -3*i - y*i - 10. Let z be (12\/(-24))\/(i\/(-12)). Which is the closest to 3\/10? (a) -4 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 38.1, 1, 494\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-13) + 11\/(2288\/25180656) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**6\/20 - c**5\/20 - 3*c**4\/8 - 7*c**3\/3 + 277*c**2. Calculate the lowest common multiple of b(-2) and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43669*c**3 + 2*c**2 + 4678 wrt c.\nAnswer: 262014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9337343 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81096 and 340?\nAnswer: 6893160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 90566550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - n**2 - 8*n - 6. Let g(k) = 103*k - 2. Let u(h) = 137*h - 3. Let r(o) = 4*g(o) - 3*u(o). Calculate d(t) + 6*r(t).\nAnswer: -2*t**3 - t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -12) + -1 + 4. Suppose 0 = 3*l + 2 - f. Suppose 3*b + 7 = l*v + 71, 5*v = -5*b + 60. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5 + 1. Suppose -5*n = 3*c + c, -21 = -c + 4*n. Calculate the remainder when c is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3067 + 998*z + 3067)*(-4 - 1 + 3)*(-6 + 6 + 9)*(-1 + 1 + 2*z).\nAnswer: -35928*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22013, -6, -4 in increasing order.\nAnswer: -22013, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: a2 (base 13) to base 4\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 28*o**2 - 44*o - 418. Let z be b(-29). Solve 3*h = -3*f + 5*h - 13, -3*f - 4*h + z = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7083372427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 43371421, 4 in descending order.\nAnswer: 43371421, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3, -36 = -j + 3*i - 37. Suppose -19*l = j*l. Solve l = -8*w + 8 + 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33\/(-1)*(13 - 14) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 8, -106332, -2 in decreasing order.\nAnswer: 8, 4, -2, -4, -106332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2092368 is divided by 149454.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.0446?\nAnswer: 0.1338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -2*a + 3*t, 0 = -5*t - 5 - 0. Let i be a\/(-9) + 4\/(-18). List the prime factors of (-6)\/(-5)*i\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 43 - 28, 17 = 2*f + 3*g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 14}. Give prob of sequence cmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.48923? (a) 0.5 (b) 2\/9 (c) -1\/10 (d) 0 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h = 3. Let y be (h\/5)\/(2\/10). Solve 3*p - y = 0, -p - 3 = 4*z + 4*p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 2:07 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4.2. Let q = 947 + -950. Sort q, 7, w in descending order.\nAnswer: 7, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 429118209 to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -14*y + 10. Solve y*h = 5*h - 5*f + 27, -3*h - 5*f = -3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) -1.7 (c) 1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-99)*5751\/(-142).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 4, -34 in decreasing order.\nAnswer: 4, 0, -8, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 130673*u - 24. Let i(n) = -10889*n + 2. What is -25*i(b) - 2*w(b)?\nAnswer: 10879*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -51*v**3 - 9*v**2 + 3*v + 13. Let y(i) = -101*i**3 - 21*i**2 + 7*i + 27. Calculate 7*n(s) - 3*y(s).\nAnswer: -54*s**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + 2.9. Which is the nearest to t? (a) -3 (b) -0.3 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**4\/24 + 3146*l**2. Let j(k) = -25*k + 1. What is j(f) - 6*w(f)?\nAnswer: -19*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50914276 to the power of 1\/2, to the nearest integer?\nAnswer: 7135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 32970*u + 85*u**2 - 65933*u + 32962*u. Let r(c) = -30*c. Calculate r(p(z)).\nAnswer: -2550*z**2 + 30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35717.\nAnswer: 11, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:03 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 353683 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 4*s - 3066, 5*j - 2841 = -s + 213. What is the remainder when j is divided by (-2 - -51) + (-27 - -13)\/7?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1969 and 65935903.\nAnswer: 1969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 22250*z + 10 = -22249*z, -2*z = a - 30 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6) + (-20)\/(-6). Let q(a) = 5*a + 2 - 2*a - a. Let t be q(l). Solve -4*w - 3*x = 2*x - 29, 5*w - 3*x = -t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**3 + 5*n - 5. Let m(y) = -8*y**3 - 4*y + 4. Calculate 4*j(r) + 5*m(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 639662 = 764338. Is a a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1815? (a) -0.4 (b) 202 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 88366.\nAnswer: 176732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 262*a**3 - 2*a + 17 + 3 - 41 + 3*a**2 to q*a**2 + z + b*a + l*a**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*r. Suppose r = 2*u - 23 + 5. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*q + 1 = 11, 0 = -5*p + 4*q + 39. Suppose -4*y - 33 = -p*y. Solve 4*r = c - 5, 0 = -2*r + 3*r + 3*c + y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 9:57 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1188 by -108.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 2*t - 2*t)*(-5 + 3 - 1)*(2*t**2 + 0*t + 0*t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 12*b - 1. Let d be q(3). Suppose -d = -3*t - 4*w, -2*t + 4*w + 16 = 3*w. What is the remainder when 17 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.82136261095 and 0.129.\nAnswer: -2.69236261095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 1637 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 0\/1 - -77. Calculate the common denominator of -19\/6 and 2 + -2*x\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 16. Suppose 2*r + 3*j - v = 52, 4*r + j - 140 = 0. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from {m: 1, i: 4, q: 2, o: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 23*d - 14*d - 13*d to the form v*d + o and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -27. Suppose n + 215 = o*p + 5*n, -20 = 4*n. What is v in -47 + 4*v**2 + p = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-65))\/((-138)\/(-45) - 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -94027 smaller than -94030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1000000100011?\nAnswer: -1000000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20460 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 13*y - 4. Calculate c(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6341 is divided by 493?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -215? (a) 2\/5 (b) -0.5 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-2)\/(-3)))\/(51\/17)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + k**2 + 3*k + 2. Let r be h(0). Suppose 200 = q + b, 0 = -2*q + r*b + 188 + 216. What is the smallest common multiple of 15 and q?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.35111 to two dps.\nAnswer: -11.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o**3 - 3*o**2 - 33*o - 4. Give c(-4).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/41 or -10109?\nAnswer: -10109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {x: 3, c: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + (-16)\/10)*-5. Let g(c) = 6*c**2 - 1 + 2*c**2 + 2*c - 5*c**2. What are the prime factors of g(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 y, and 1 h when three letters picked without replacement from {h: 4, y: 1, b: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 106606 = -491394. What is s rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.9 + 2. Let g = -0.2998 + -3.59795. Let k = b + g. Round k to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 7) to base 11.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2\/5 + 6789*c - 2803662\/5 = 0. Calculate c.\nAnswer: -11397, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -289474522*l**3 - 45451*l**2 + 2422 wrt l?\nAnswer: -1736847132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19\/308 - -1063\/924. What is the common denominator of j and (-102)\/(-30)*5\/(-24)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2. Let g(d) = -11 + 5*d + 7 + 2 + 11*d. Give p(g(m)).\nAnswer: -512*m**2 + 128*m - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69801 is divided by 334.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -8041, 1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-11)\/4)*3\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17533 and 2879061.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/21 (b) 0.63 (c) -26 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**2 + 1. Let n(k) = -k**2 + 23*k - 39. Let i be n(21). Let p(m) = -17*m**2 - 3. Give i*p(x) + 8*s(x).\nAnswer: -3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, n: 11}. What is prob of picking 1 n and 3 r?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -13) + -7 - (11 + -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k - 14*k + 0*k + 0*k - 6*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s - 2*v = 107, -4*v = -2*s + 46. Calculate the remainder when 56 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/8 - (-3077)\/1448. Solve -16 = o*z - 8, -2*p - 22 = 3*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-7) + 2 - (-75301)\/(-1799). Sort h, 12, 0 in descending order.\nAnswer: 12, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 509?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 108 - 42 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-112)*(-2)\/8 + 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -49 + 14. Suppose s*k - 165 = 192. Suppose 0 = n - k + 33. What is the least common multiple of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from xxmawwbxaww?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + -52 + (-2 - (0 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5416 and 28676366?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1750, 1850, 1950, 2050?\nAnswer: 2150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 24 = 220*n - 216*n, 5*n + 4*d - 30 = 0. Solve -20*a + n*a = -84 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 221*k**2 - 60 - 221*k**2 - 2*k**3.\nAnswer: -2*k**3 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-16) - 141\/4. What is the common denominator of (-437)\/14 - (-10)\/h and 25\/(2100\/(-24)) - (-249)\/(-182)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -486*t - 221. Let p(b) = 111 + 65*b + 195*b + 66*b - 83*b. Let w(l) = -6*k(l) - 11*p(l). Find the first derivative of w(s) wrt s.\nAnswer: 243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234025, 467949, 701769, 935491, 1169121, 1402665, 1636129?\nAnswer: 1869519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 21370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/15426 and 13\/17140.\nAnswer: 154260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5*s**2 - 5*s + 10. Let b(g) = -11*g**2 - 10*g + 21. Let r(y) = 6*b(y) - 13*q(y). Let x be r(4). Solve 2*o - o = x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 1. Let x be k(6). Suppose x*w - 5 = 5*t, -4*w - 14 = t + t. Calculate the least common multiple of ((w + 3)*-11)\/(-1) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 242*q - 2. What are the prime factors of j(3)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 32311510?\nAnswer: 32311503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/7)\/((x*x**(1\/17)\/x)\/x))**(-17)\/(x*x\/(x*x**(-2\/21))*x*x\/(x*x*x**2*x))**(-2) assuming x is positive.\nAnswer: x**(-620\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2145184786.\nAnswer: 2, 1072592393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2485 + q**2 - 2*q**2 - 2*q**2 - 4316 to the form r + p*q + t*q**2 and give r.\nAnswer: -1831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 take away 3.5?\nAnswer: -71.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 145697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 4*o + 4*o)*(-o - 3*o + o + 2*o - 2*o + o - 4*o + 3*o + 2*o - 3*o + 6*o - o + (-o - 1 + 1)*(0 - 1 - 1) - 128*o + 38*o - 388*o).\nAnswer: 475*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -20) + 33 + 1829\/(-59)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*u + 15. Let i be u\/3*(-12)\/(-8). What is the units digit of (1 + (2 - i))*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w + 81. Suppose i = -0*i + w. What is the remainder when i + 3\/((-3)\/2) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.038 (b) -1 (c) 117\/5 (d) -2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d1ae (base 15) in base 16?\nAnswer: -2fe2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**4\/7 - 99*o**3\/7 + 369*o**2\/7 + 1039*o\/7 + 570\/7 = 0.\nAnswer: -1, 6, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 2*y - 6*y**3 - y - y**3. Let v(l) = l**3 - 7*l**2 - 8*l - 1. Let j be v(8). Is p(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-80))\/(1*2\/4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*d = 7189, -7191 = -3*j + 24*d - 21*d. What is the smallest common multiple of 3924 and j?\nAnswer: 43164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**2 + 292*x + 2634. Calculate s(-9).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249140 + 250001 = -21*i for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 + 5*q + 6. Let v(d) = d**2 + d + 1. Suppose -4*o - 9 = 11, 0 = -j + 4*o + 12. Let h be j\/(-6) - (-6)\/(-18). What is h*x(g) - 5*v(g)?\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 104652682?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(704) + 1) - (sqrt(704)*2 + sqrt(704))*-3)**2 + 2 + 1.\nAnswer: 160*sqrt(11) + 70404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -400?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a - 28?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34544 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**4\/24 + 3*z**3\/2 + 3*z**2. Let h be l(6). What is the second derivative of 2*a**2 + h*a - 3*a - 7*a**2 + 4*a wrt a?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6027\/1670 - -3\/334. Let a = -260927\/20 + 13043. Let j = a - g. Sort 2, 3\/2, j in ascending order.\nAnswer: j, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.81 (b) -2\/39 (c) -9945\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(1008) + 0 + -6*-3*sqrt(343) + 3.\nAnswer: 3 + 162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/125 - 238\/375. Which is the closest to -1? (a) n (b) -3 (c) 54 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 0)*(-34)\/4. Suppose 18 = -5*z - 2*p, 5*p + 7 + m = -2*z. Sort -1, z, 0 in ascending order.\nAnswer: z, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*l - 7. Suppose -y = 2*f - 1 - 0, -l*y = -2*f - 14. What is the lowest common multiple of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.96 - 5.1. Let o = 0.86 - l. What is the nearest to -1\/6 in -5, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 18*l - 73. What are the prime factors of m(21)?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2587995, 5175868, 7763753, 10351656, 12939583, 15527540, 18115533, 20703568?\n\"Answer: r**3 + 2587866*r + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10*m + 4 - m + 9*m. Let d(l) = -l + 1. Determine -5*d(q) + z(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/24184384 and -19\/2688?\nAnswer: 145106304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/11)*j)\/(j**(-2\/7)*j*j)*(j\/(j*j\/(j**(-3)*j*j)))**40)**(3\/17) assuming j is positive.\nAnswer: j**(-18393\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/12 and -81\/428.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-35) - (-1256)\/14. What is the highest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 1. Let r be g(3). Is 252\/r - 1*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*o**5 + 19*o**3 + 676*o**2.\nAnswer: -780*o**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + (-50)\/30. Let i(u) = -2*u**3 - 7*u**2. Let v(x) = x**3 + x**2 - x. Let l(a) = r*i(a) - v(a). Is l(3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-368)\/(182160\/(-3375)))\/(2\/22)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/8712 and ((-365009736)\/174240)\/(-91) + -23.\nAnswer: 43560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**3 + 93*x**2 + 10*x - 337. Let s be i(-23). Suppose 2*w - 5*w = 123. Is s equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4097363 hours?\nAnswer: 24.584178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -359 - -b?\nAnswer: -34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94 - 94.06. Which is the third smallest value? (a) t (b) 1 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3926, 3924, 3922, 3920?\n\"Answer: -2*i + 3928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 14. Let k = -16 + 22. Let x be u(k). Suppose -x*b + 26 + 94 = 0. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6759\/1336 - 11\/167. Let v = -70592023\/12573 + 24\/1397. Let h = -5609 - v. Find the common denominator of h and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -128829, -257454, -386079, -514704, -643329?\n\"Answer: -128625*o - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4369002.4699969 + 4369003. Let z = -73.47 - -74. Let g = l - z. What is g rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6666777l in millilitres?\nAnswer: 666.6777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*u + 3*u + 10, 5*u - h - 45 = 0. Solve 0 = 4*n - 4*q + 16, 5*n + 3*q - u - 2 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, z: 1, u: 2, o: 13}. Give prob of sequence uuz.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -44235 (base 8) in base 16?\nAnswer: -489d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 254 and 14?\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/15)\/(16\/(-10)). What is the closest to -1 in j, -2, 4, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 - 60 = 47*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -64678391.98 rounded to the nearest one million?\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158*l**3 - 160*l**3 + 320*l**3 - 63*l to the form u*l**3 + n*l**2 + d + b*l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 210012220110?\nAnswer: -210012220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21929813 to the power of 1\/2, to the nearest integer?\nAnswer: 4683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 100603254021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 11313*h + 11317*h = -36, 0 = -4*o - 2*h + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057036784 rounded to 3 dps?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.027 + -0.007. What is the biggest value in i, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2683 is divided by 532.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -211, -215, -219?\n\"Answer: -4*k - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/8 - (36\/(-1062) + (-141150)\/2832).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9939316*i**4 - 22*i**3 - 159*i**2 + 22133*i wrt i?\nAnswer: -238543584*i - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*-8*(-4)\/(-16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 575707.66753+-0.71\nAnswer: 575706.95753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/69*(-4500)\/5250.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 15 = -j - 3*z, -4*j + 5*z = 3. Suppose 2*y - 1 = j. Let u(s) = 33*s**2 + 4*s + 1. Is u(y) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/11 - 1398846*a**2\/11 + 5595360*a\/11 - 5595352\/11.\nAnswer: 2*(a - 699419)*(a - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71169, -142321, -213477, -284637, -355801, -426969, -498141?\n\"Answer: -2*p**2 - 71146*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 6) to base 7\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 255 = 159. What is b in 0 - b**4 + 7*b**2 - n + 0*b + 0*b + b**2 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4074 - -1894.2. Round v to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -23*w**7\/210 + w**5\/30 - w**4\/24 - 19*w**3\/3 - 19*w**2 + 5*w. What is the second derivative of i(l) wrt l?\nAnswer: -276*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 10 = -9*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.285 - 170.715. Let a = j - -170.72. Which is smaller: 4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 0 + sqrt(396) + 5)**2 - (sqrt(396)*3 + 1).\nAnswer: 102*sqrt(11) + 1608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (sqrt(133) - (sqrt(133) - (sqrt(133) + sqrt(133) + -4*1*sqrt(133)))))\/sqrt(7).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 6*r - 8. Let k = 6958 + -6945. What is the greatest common divisor of r and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*m + 15 = 110*m, 0 = 6*x + 2*m + 28 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*q + 0 + 0*q**2 - 9\/5*q**4 + 3\/5*q**5 + 6\/5*q**3 = 0. What is q?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 0*h + 4*h)*(1 + h**2 - 1) - 16*h + 16*h + 9*h**3 - h**2 - 2*h**3 - 3*h**2 + 0*h**2 as k*h**2 + b*h + f + z*h**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17*f**2 - f. Let y be s(1). Let o be ((-156)\/y)\/((-2)\/8). Let j be (-8)\/(-10) + 1952\/160. What is the greatest common divisor of j and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/7 - 7984*z**2\/7 - 15940*z.\nAnswer: -z*(z + 14)*(z + 7970)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3096658, 6193315, 9289970, 12386623, 15483274, 18579923?\n\"Answer: -n**2 + 3096660*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 4801991583 and 25.736.\nAnswer: 4801991608.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 30. Calculate the common denominator of 468\/16*10\/m and -10\/13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*-2*546\/112.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*i - 506, 0*i + a = -5*i - 1279. Calculate the remainder when 4 + i\/(-5) + -3 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = h - 203. What is the remainder when 80 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -295 - -310. Let c*l - 16*l**3 + 24*l**2 + 24 + 5 - 27 = 0. Calculate l.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - ((13 - 6) + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204270408 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7088.608ml?\nAnswer: 7.088608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11260746 - -11260714.0000048. Let z = 0.26 + -32.26. Let g = z - u. Round g to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2987248980 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83796 and 15408?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47499*h**2 + 10*h - 5208557 wrt h?\nAnswer: 94998*h + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 84343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-1)\/2). Let c(v) = -v**3 + 17*v**2 - 2*v + 36. Let d be c(17). Suppose d*u = -2*u - 3*b + 2, -2*u + 5*b = -14. Solve -h = r + u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167630 + 0.4.\nAnswer: -167629.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112 - -117. Solve 29 = u*k - 3*q, -q - 3 = -0*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 4*v**2 + 5*v + 4. Let m be s(-2). Let h(l) = 5*l - 2 + 5*l**3 + l - 3*l - 2*l**2. What is the tens digit of h(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1729, -111 in descending order.\nAnswer: -0.2, -111, -1729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssooostsooo. What is prob of picking 2 o?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5 - 32822*y**4 - 65606*y**3 + 492270*y**2 = 0. Calculate y.\nAnswer: -16409, -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 42 = 4*l, -5*v - 100247*l = -100251*l + 33. Suppose 0 = 5*p - 10*p + 30. Solve p + 0 = -v*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, u: 3}. What is prob of sequence uaaa?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35.9 - 36. What is the nearest to c in 3, -0.2, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56*(-68)\/11424*4\/26.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2822, -5656, -8500, -11354?\nAnswer: -14218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 23. Suppose 3*c + 0*y = y + 1, b*c + 3*y = 19. Let x = 35257\/27433 + 2\/3919. Which is greater: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3012, 3028, 3060, 3114, 3196, 3312?\n\"Answer: f**3 + 2*f**2 + 3*f + 3006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 431 - 469 = 4*w, -5*f + 3 = -4*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 3:43 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35517\/7 + 5064. Let r = x + 103\/14. Let h be (-48)\/9 + 2\/6. What is the third biggest value in h, r, -2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 2*b**2 - 11. Let j be x(3). Put 2, -3, 1, j in descending order.\nAnswer: 2, 1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*q - 24, 0 = 3*q + 3*d - d - 28. Is 8 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 176809, 1414435, 4773707, 11315449, 22100485, 38189639, 60643735, 90523597?\n\"Answer: 176804*d**3 - d**2 + d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/21 and -47\/175.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -617, -1251, -1907, -2597, -3333?\n\"Answer: -2*o**3 + o**2 - 623*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(s + 0 + 0) + (-2*s + s - s)*((-2 + 4 - 1)*(-2 + 2 - 9) + 1 - 4 + 2 - 2 - 12 + 0).\nAnswer: 45*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 698338826 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*o - 150*o = 99*o + 125 + 75 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181792368, 181792369, 181792370, 181792371, 181792372, 181792373?\nAnswer: 181792374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 861 + 56*r - 1594 + 781 wrt r?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -14201332030?\nAnswer: 14201332022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -244*f**3 - 13*f**2 + 5*f + 11. Is m(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38 - 344342?\nAnswer: -344380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 435 = 10. Let v(k) = 174 + 5*k - a - 89. Let n(b) = 148 + 6*b**2 - 148. Determine n(v(o)).\nAnswer: 150*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -13. Let l(f) = -3 + 2*f**3 + 9*f**2 + 4*f + 2*f**2 + 2 - 3*f**3 - 8*f**2. Determine l(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 354*f - 6. Let p(g) = 1414*g - 24. Let j(v) = 9*i(v) - 2*p(v). Let k be j(3). What is the greatest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2000 - -3608. Let m = 467 - z. Let o = 2340 + m. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - n**2 + 2*n + 5. What is k(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49\/165 + 2\/55. Suppose 0 - 12 = -4*l + 3*d, 0 = -2*l + 5*d + 20. Let s = 47.64 + -47.44. What is the smallest value in k, s, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18860 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 8154755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 6*x - 6. Let n be y(-5). Suppose -4*a = -a. What is the remainder when 22 is divided by (n - 7)\/(-1) - a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1468 + 1914. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*-10*2*(-5)\/40)\/(-9)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(1\/5))*q)\/q*q)**(-25) assuming q is positive.\nAnswer: q**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d. Let v(p) = p**3 + 11*p**2 + 9*p - 13. Let n be v(-10). Let l be g(n). Let a(r) = r**3 + 5*r**2 - 6*r + 6. What are the prime factors of a(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 2. Let r(f) = 24 + 20 + 5*f - 57 + 18. Determine -14*g(p) + 6*r(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 1 - 6*y**2 - 5.\nAnswer: -6*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -54, -60, -76, -108, -162, -244, -360, -516?\n\"Answer: -c**3 + c**2 - 2*c - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11407 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 4*g + 0*g)*(-4 + 0 + 5) - 2*g + 2*g + 2*g + (2 - 1 + 1)*(g - 2 + 2) - 3*g - g + 2*g + (4 - 4 + 2)*(-122*g - 8*g - 6*g) as f*g + q and give f.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/129 and -64\/21.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 264898228 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030458737 to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 258*y**2 + 19*y + 42. Is k(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 28, 6?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:45 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 12 = -5*y, -40 = -4*k + y + y. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**5\/20 - k**4\/3 - 2*k**3\/3 - 3*k**2\/2 - 6*k - 31. Let p(a) be the first derivative of c(a). Determine p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.958057 plus 6071?\nAnswer: 6092.958057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 7*b**2 - 7*b - 6. Suppose -3*x + 3 = 0, 0*x = -4*r - x - 27. Let y(p) = 2*p**2 + 6*p - 50. Let m be y(r). Calculate s(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/90 and 107\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167121957?\nAnswer: 3, 4211, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -7278.\nAnswer: -7278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3826.634 micrograms to tonnes.\nAnswer: 0.000000003826634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2 + 0*i + 2*i)*(-1 - 5 + 5).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 0*c**2 - 825*c + 415*c + 4 - 3 + 419*c + c**2. Suppose o - 8 = -2*f, -4*o + o + 2*f - 16 = 0. Let g(t) = t**2 + 5*t + 1. Let w be g(o). Give b(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65)*1*-6*1)\/(-6*sqrt(40)\/sqrt(200)*-6).\nAnswer: -5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/(-7) + 21\/(-49). Let m(c) = -c**3 + 3*c**2 - c - 5. Let a be m(2). Sort 4, j, a in decreasing order.\nAnswer: 4, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-2 + 1) - (6 - -83). What is the common denominator of (i\/(-18) + -2)*36\/20 and -57\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.1 + -493587.\nAnswer: -493599.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28 - 2*d - 37*d**3 - 4 - 11*d**3 + 46*d**3 wrt d?\nAnswer: -6*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708*l = 477*l - 232*l + 89582 for l.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*g**3 - 20*g**2 + 14*g**2 - 4*g**3 + (-5*g + 3*g + 0*g)*(49*g - 45*g + 46*g**2 + 11*g**2).\nAnswer: -110*g**3 - 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qswl when four letters picked without replacement from cpqplssw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {x: 5, j: 2, n: 6}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.082.\nAnswer: -0.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 432*s**2 + 3860*s + 39576.\nAnswer: 4*(s - 97)*(s - 17)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5932, -3, 7, -0.3?\nAnswer: -5932","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -1 + -1 - -160. What is the greatest common divisor of 23 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13963116?\nAnswer: 2, 3, 23, 50591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5362 = -1188*t + 1571*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 + 8956*y**4 + 4999660*y**3 - 15079692*y**2.\nAnswer: 4*y**2*(y - 3)*(y + 1121)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*v = 7*v + 536813. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-338)\/169 - 499*(-5 + 1) a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r + 24 = 0. Suppose -s = -4*s + 5*u, 3*s - u - r = 0. Suppose -2*t - 77 = -s*j + 20, 5*j + t - 94 = 0. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 + 0 + 2)*(-1 + 4 - 5) + 0 + 5 - 3 + (-3 + 3 + 2)*(4 - 1 - 1) - 1 + 1 + 2 - 1 - 3 + 7)*(-3*m + 4*m + 0*m) as r + g*m and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.402 or 480.9?\nAnswer: 480.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5527*w**4 + w**3 - 11*w + 209 wrt w.\nAnswer: -66324*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**4\/8 - 23*v**2. Let f(x) = x**2. What is r(f(p))?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482931172?\nAnswer: 2, 89, 2029, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**5\/12 - n**4\/8 - n**3\/3 - 72*n**2 + 1. Let c(t) = -4*t**2 - 2*t - 2. What is 2*b(i) - 3*c(i)?\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aabaoba. Give prob of picking 1 b and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11\/(-4))\/1 + -1 + 3. Which is the closest to 2\/3? (a) 0.1 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v + 4*s = 57, 2*v + 2*s = 24. Let z(l) = -l**3 + 8*l**2 + 13*l - 2. Is 17 a factor of z(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 3*x - 30 = 0. Suppose 2*p - 2745 = -x*y, -3*y + 1368 = p - 5*y. Round p to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*p = w - 4, 4*w - 4*p = 36. Suppose b + s = -0*b + w, 0 = b - 5*s + 10. Suppose 3*j - 96 = -3*z, 0 = -3*z + b*j + 89 - 25. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*r + 105*r = -9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8921012 divided by -2.\nAnswer: 4460506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -89*h - 3642. Let s(p) = p + 5. Calculate s(v(i)).\nAnswer: -89*i - 3637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Let b(l) = -d - 1 - 2 - l. Suppose -f + 2*f + 5 = 0. Give b(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.08043.\nAnswer: -0.024129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782310?\nAnswer: 2, 3, 5, 89, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 612*y**3 + 8*y + 17 wrt y.\nAnswer: 3672*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/(-12) + (-60)\/(-45). Let q be 896\/1440 - 2\/5. Which is the nearest to 2? (a) x (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/99132 and 125\/636?\nAnswer: 5253996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 34 = 3*p - 5*p, -3*x - 11955*p = -11959*p - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 16 + 151. Let l be 10\/y - 47\/(-9). Solve -l*r + 4*s = 22, -3*r - 2 = -s + 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/(8\/(-60))*2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 3. Let o(s) = 93*s - s**2 - 1 - 93*s. Determine -3*o(w) - q(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20759589?\nAnswer: 3, 2306621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/17)*b*b*b**(2\/21))\/((b*b**(-4)*b)\/(b\/(b\/b**4*b*b)*b)) assuming b is positive.\nAnswer: b**(2932\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdr when three letters picked without replacement from ikikrrddipdikd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-22)\/(-10) + -2). What is the third derivative of 2*b**2 + 0*b - r*b**2 + 0*b - 7*b**3 wrt b?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 4:51 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 6*l + 32. Let h(a) = -3*a + 2. Determine h(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59312*t**5 - 64822*t.\nAnswer: 1186240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -607*l**2 - 143*l + 369. Let b(k) = 202*k**2 + 45*k - 123. Let t(o) = 19*b(o) + 6*u(o). Find the first derivative of t(c) wrt c.\nAnswer: 392*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4108, 7468, 10828, 14188?\nAnswer: 17548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(13 - 16)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6414864647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -6*m - 5. Let a = 14 - m. Suppose -f + a = 5*b, 3*b - 4*b + 3 = 3*f. Solve 4*u = 4*i + b*u + 8, 0 = -2*i + 3*u + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 8:26 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1648100 to the nearest 10000.\nAnswer: -1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150354?\nAnswer: 2, 3, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, d: 6, l: 5, s: 2, m: 1, u: 1}. What is prob of sequence lldo?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 28. Let z = -188 + 184. Which is the smallest value? (a) l (b) z (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - 17751?\nAnswer: -17736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.6 in -0.4, -0.03, -0.2, -2.2, -1?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42037957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -138 and 0.59090991.\nAnswer: -137.40909009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000462639938 to 6 dps.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 284.4358 to 1 dp.\nAnswer: 284.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31994495 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2 + s. Let v(d) = 58*d**2 - 18*d - 10. Let r(l) = 14*m(l) + v(l). Determine r(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-4) - 13)\/(-1). Let r(t) = t - 6. Let c be r(f). Solve -w + c*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23103 - 10131?\nAnswer: 12312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 4203100?\nAnswer: 4203051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6386.98 litres?\nAnswer: 6386980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 7 = 2*o. Let u = -92 - -236. Let p = 157 - u. What is the remainder when o is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 5*y - 2. Let a be n(6). Let r = a + 12. Suppose -39 = -2*q - 5*x + 30, 4*q - 180 = r*x. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9483767 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4\/2 + 286*w**3 + 6211*w**2\/2 + 11244*w + 13464 = 0.\nAnswer: -561, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 372*p - 4424.\nAnswer: -4*(p + 14)*(p + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Suppose 0 = 3*q - h - 13, -b*q - h - 3 = -3*q. Calculate the remainder when q is divided by (-1 - -4)*(6 - 56\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -1 (b) -2 (c) -0.2 (d) 25\/12 (e) -20\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l - 76 = 31*l. Let f = l + 218. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 28*j**3 - 21*j**3 - 369 + j + 2206*j**2 - 2204*j**2 to c*j**2 + o + b*j + s*j**3 and give o.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.195 - -1.805. What is the biggest value in 4\/7, g, 12, -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3001 and 0.13.\nAnswer: 3001.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -18. Let c = f + 9.2. Which is greater: c or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -3. Let w(o) = o - 1. Let j be w(7). Let h = j + -4. Sort h, 0, z.\nAnswer: 0, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*t + 6 = 18, 3*t = 12. Let m(n) be the second derivative of 5*n + 0 - 2*n**h + 0*n**3 - 5\/12*n**4. What is the first derivative of m(u) wrt u?\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*w**4 + 4*w**2 + 19*w**4 + 6*w - 6*w**4 + (0*w - 2*w**4 + 0*w)*(-2 + 6 - 2) + w**4 + w**4 - 7*w**4.\nAnswer: -8*w**4 + 4*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -20. Suppose -4*j + 5*v - 19 = 0, -2*j + 5*v + 0 - 17 = 0. Let d be j + (-11)\/(-4) + 1. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16057 + 15992. Let n = -0.6 - -5.6. Sort c, -4, n in descending order.\nAnswer: n, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15609215\/1416 + -354654\/59. Let s = 17031 + h. Find the common denominator of -113\/18 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -29*r**3 - 19*r**2 - 3*r + 32. Give y(2).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000069245038 rounded to 7 dps?\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.199204?\nAnswer: 0.796816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 25*i + 1. Let u be w(-5). Let k be (-287)\/(-70) - u\/10. Put -1, k, 3, 0 in decreasing order.\nAnswer: k, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115.48 - -114.48. Suppose 5*t - 10 = 3*t. Which is the nearest to 0.1? (a) m (b) 6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4\/3 - 881018*k**3\/3 + 3524114*k**2\/3 + 4405130*k\/3 = 0. Calculate k.\nAnswer: -440513, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51\/5 of a gram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105 by -7.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -343, -874, -1601, -2518, -3619, -4898, -6349, -7966?\nAnswer: -9743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -149\/4 and -36 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001511270045 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207, -247, -311, -399, -511, -647, -807?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -11*c + 1. Suppose -5*i - 462 = 3*y, -5*y + i - 124 = 646. Let w = y + 153. Give m(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.05 - 2. Let v = 8.05 - r. Let g = 6 - v. What is the third smallest value in -1\/3, -2\/9, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463188.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -187\/11039 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**3\/2 - 153*r**2\/2 + 3675*r\/2 - 3519\/2 = 0.\nAnswer: -69, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 14) to base 8.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {g: 1, w: 4, d: 9, k: 3, y: 1}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*r**2 + 24*r**2 + 12*r**2.\nAnswer: 74*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 7:21 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 7 = 7*z. Let c be (2\/(-4))\/((z + -4)\/(-6)). Is c\/((-6)\/3 + (-2012)\/(-1004)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414*d = -374*d - 160. Solve 0 = v + 4*v + d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 287.11 - 288. Let j = -4105236 - -4105235.1099898. Let x = p - j. What is x rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48299*r**3 + 2098*r**3 + 7128*r**3.\nAnswer: 57525*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2 + 9*f + 2 - 7*f - 9. Determine a(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhschcocjs. What is prob of sequence so?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (9 - (-10 - (-5 - 3))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4650 is divided by (0 - -1)\/((-2)\/(-3))*(-760)\/(-60).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f. Let u = -49 - -47. Let m be (-14 - -11)*u\/3. Let l(p) = -8*p**2 + p**m + 6*p**2. Calculate h(l(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(2\/33)\/z))\/z**(-26) assuming z is positive.\nAnswer: z**(955\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2094 - -4214. What are the prime factors of l?\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, w: 4}. Give prob of picking 2 w.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 + 18 + 22 - r**2 to t + h*r**2 + d*r and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 100*r**4 - 11178020*r**3 + 13413336*r**2 + 16096144*r + 3576928 = 0.\nAnswer: -2\/5, 2, 111779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19 + 0 + 1 + 0. Suppose u - 2*n = -n + 7, p = 5*u - 2*n. Let x be ((-2)\/(-4))\/(25\/150). Solve 4*j - 2*s - 16 = 0, -x*j - u*s + 2 = -s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 5*b**2 - 3*b + 3. Let f(k) = k**3 - 5*k**2 + 3*k - 4. Let q(c) = 3*f(c) + 4*x(c). Suppose -142*n - 205 = -183*n. Determine q(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-551)\/(-285) - 1)*(-1)\/((-14)\/24)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107210955 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 60 + 32 = 0. Suppose 0 = -3*u - 0*u + 480. Suppose 0 = 5*f - 0*o - 3*o - 160, 4*f + z*o = u. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 1:54 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1287 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1\/5 (c) -12\/13 (d) -2\/9 (e) -59\/5 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67281270?\nAnswer: 2, 3, 5, 7, 320387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) -4 (c) 0.1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1015*i = -1210*i - 1365 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccci when four letters picked without replacement from cciicic.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (35\/(-10))\/(6\/12). Let c be (6989\/(-3) + p)*12. What is c rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5 + 28*i**4 + 144*i**3 + 320*i**2 + 256*i.\nAnswer: 2*i*(i + 2)*(i + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.6 + -8.3. Let q be -1 + (-7)\/(-2) + -2. Is z at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Suppose -l*s - 32 = -8*s. Suppose t + 3*t = -s. Sort 1, t, 0 in decreasing order.\nAnswer: 1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*t, -9*a + 3*t + 9 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/5 + (-6)\/(-15). Let u be -1 + (-12)\/c + 6. Let b be (-38)\/(-14) + (0\/u - 2). Which is bigger: b or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 179786?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k**2 + k. Suppose 2*f = -4*f + 204. Let r = f + -35. Give a(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2310 and -854.\nAnswer: -3164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 27*q + 4. Does 22 divide u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and (6 - 6\/(-2))\/(-1) - -418?\nAnswer: 4090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-44)\/24)\/((-2)\/(-6)). Let u = d - -23\/4. Let h = -0.8 + 0.3. Which is the third smallest value? (a) u (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 - -1 - -6) + 6. Suppose 0 = -3*k - 12, k - v = -5*a + 128. Calculate the greatest common factor of a and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 3*z**2 + 6*z + 10. Let b be m(-4). Suppose 3*a + 18*j - 7 = 14*j, 4*a - 46 = 2*j. Solve -b*i + a = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 57206 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710303092 to the power of 1\/3, to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*((((((y\/y**(2\/7)*y)\/y*y)\/y)\/y)\/y*y)\/y)\/y*y))**(1\/5)*(y**2)**(-23) assuming y is positive.\nAnswer: y**(-1608\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 2*p - 1. Let a be k(1). Suppose a*o = 3*o. Suppose q + o = 2. Solve 0 = w + 4, q*y + 7 - 25 = 5*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(156) + sqrt(156)*-2)*-3 + sqrt(156) + sqrt(156) + sqrt(156) + (sqrt(156) - sqrt(156)*3)*4)\/(-2*(sqrt(108) - (sqrt(108) + sqrt(108)*1))*3).\nAnswer: -sqrt(13)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 16*o + 2*o**3 - 10*o + 755 - o - 7*o to the form a*o + s*o**2 + w + n*o**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 27. Which is the closest to -1? (a) z (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/5 - 6*t**4\/5 + 2*t**3\/5 + 6*t**2\/5 - 4*t\/5 = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -0.14 (c) 0.1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2817 (base 15) in base 12?\nAnswer: 4b64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b - 133. Let o be z(12). Let j(d) = d**3 + 12*d**2 - 15*d + 2. Let p be j(o). What is the greatest common divisor of p and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.97 + 10.014. What is i rounded to 1 decimal place?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21294187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a millennium?\nAnswer: 81600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/2079*7 - 43\/(-11). Solve 0 = 2*x - 4*u + 12, 9*x - 8*x - 24 = -k*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6813.\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njqqrqrnqnqjnqqq. Give prob of sequence jr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) - (-30)\/(-8). Let p(y) = y**3 + 12*y**2 - 5. Let l be p(-12). Which is the biggest value? (a) f (b) -1\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24, -110, -270, -516, -860, -1314, -1890, -2600?\n\"Answer: -2*j**3 - 25*j**2 + 3*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -11. Which is the closest to n? (a) -0.5 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 4*j**2 + 6*j + 9. What are the prime factors of i(-4)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j. Let t = -14 + 8. Let g be (-6)\/4*t\/3. Let u(r) = g*r + 0*r - r. Give u(l(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -42.2. Let r be ((-1)\/3*-6)\/(21\/49). Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/1240? (a) 5 (b) -3 (c) -0.5 (d) -4 (e) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Suppose n + 8 = g*v, -5*n + 0*v + 4*v + 4 = 0. Which is smaller: 3 or n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447 - 93 = -4*s + 4*k, -5*s + 643 = 3*k. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2\/2 + 3*a\/2 + 9 = 0. What is a?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86178 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.42 - -44.48. What is t rounded to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -132*h*l**3*v - 2*h*l**2 + 724*h*v wrt l.\nAnswer: -396*h*l**2*v - 4*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1949 = 2*p + 25707, -5*i = p - 69116. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 r when four letters picked without replacement from hoshwhworhohooorrhh?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938969 is divided by 104274?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 86529807, 86529808, 86529809, 86529810?\n\"Answer: u + 86529806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 12*f - 5. Let n be o(-3). Let s = 122\/3 + n. Let t be -1*1*(-1)\/(-2). Which is greater: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -3, -105, 4 in ascending order.\nAnswer: -105, -4, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 3*s = -12, -g - s + 231 - 225 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5632374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let i = s - 3. Let c(g) = -3*g - 3. Let q(j) = 3*j + j - 5*j - 1. Calculate i*c(u) + 4*q(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**4\/12 - 7*y**3\/6 - 3*y**2 - 8*y. Let i = 18 - 29. Let f = -15 - i. Determine h(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.2, 1, -561.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - v + 26 = 0, -i = 2*v - 4 - 3. Suppose -i = -4*p + p. Solve 5 = p*q + 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4 - 10774*y**3 + 8731604*y**2 + 35055640*y + 35098704 = 0.\nAnswer: -6102, -2, 719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11982*v - 191301.\nAnswer: 11982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 - -22. Let k = 7 + q. Suppose o + 36 = k*o. What is the highest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 84945422, 169890842, 254836262, 339781682, 424727102, 509672522?\n\"Answer: 84945420*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/(-14)*(-25)\/(5250\/(-24))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Suppose 5*i + 2*z - 928 = 0, 4*z = 6*i - x*i - 376. List the prime factors of (i + 1)\/((3\/1)\/3).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((240\/(-1188))\/(-10))\/(2\/18).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + i + 141. What are the prime factors of i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 + 2*p**2 - 5*p + 5. Let d(g) = 3*g**2 - 1. Let c be d(1). Does 19 divide a(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 330*u**2 + 15562*u + 538. Calculate h(-273).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/22, 1, -1\/2 in decreasing order.\nAnswer: 5, 1, 1\/22, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2539080 and -86\/1215?\nAnswer: 22851720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*w**2)*(9*w - w - w)*(1307*w + 1292*w - 2548*w) to q*w**4 + j + t*w**3 + x*w**2 + k*w and give q.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 390521073 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 10*x + 120 = 0. Suppose q + 2*n - n = 17, 4*n = -2*q + 44. Suppose q*c - 3*c = 90. Solve -i - c = -x*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 16*g**2 + 37*g + 19. Determine y(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 438 and 876.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-42) - 30\/45. Which is the closest to 0.1? (a) i (b) 1 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 75 = 4*g, 0*g + 4*g = 5*k - 87. Let i be -1 - (g\/3 - 3). Let c = 17 + 71. What is the highest common factor of i and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -2*h + 5*l, -3*h + l - 31 = 25 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 1206?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 10*n - 8. Let u be f(-11). Suppose 0 = a + a - 8. Suppose u*l + a*b - 64 = 0, 2 = b + 1. Solve -7*q + 3*q + l = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 11, -91, -243, -451, -721, -1059, -1471?\nAnswer: -1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/18*(-37)\/(1332\/(-216))?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/4)\/((-15)\/12). Solve -3*n = p*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 7*u. Let m be y(-6). Is -2 + (m\/3 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2845.146 + -2841. Let h = -0.046 + d. Let j = h + 0.9. Put 0.4, -4, j in descending order.\nAnswer: j, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-194)\/(-14) - -1)\/((-20150)\/(-70525))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95281353 or 95281360?\nAnswer: 95281353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4\/11, 4\/5, 1\/3, -3\/2?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2142, -18127, -61592, -146277, -285922?\n\"Answer: -2290*g**3 + 45*g + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 38 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 6*n + 3*n)*(4 - 4 - 1) + (-n + 0*n - 4*n)*(1 - 1 + 1) - 6 + 6 - 4*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002443 rounded to five decimal places?\nAnswer: -0.00244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 108 - (-217 + 223).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1106, -2213, -3320, -4427, -5534?\nAnswer: -6641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*b**4 + 15*b**3 + 784*b**2 + 10211753*b.\nAnswer: -240*b**2 + 90*b + 1568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 - -3.7. Let p = -2.89 + 1.53. Let t = p - -1.76. Which is the closest to 1\/3? (a) y (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -895412114 less than -895412113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 58*y**3 + 2*y**2 - 1. Let g(f) = f**2 + 7*f - 7. Let a be g(-8). Is i(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7738867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*w = -154*w - 5*v + 27, -4*w = 4*v - 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/2)\/d*d**7*d*(d\/d**(1\/10))\/(d**(1\/3)\/d) assuming d is positive.\nAnswer: d**(136\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1177 + 675 - 1737 - 2*p**2.\nAnswer: -2*p**2 + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 22 = 5*t, t - 926*u + 14 = -923*u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - f + 8, 25 = 5*k + 1457*f - 1453*f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98.7 + 101.7. What is the nearest to -3 in -12, 0.4, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10528 and 5074496?\nAnswer: 5074496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 11*r - 14. Calculate z(-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -5, -10, -17, -26, -37, -50?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1383*w - 1692 + 5176 = -512*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216\/176*(-437)\/11799?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 588.198+-0.2362017\nAnswer: 587.9617983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 57 - (-5 + -30 + 13).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - -1)*14\/4. Let c be f + (3*-1)\/(-3). Find the common denominator of (-1*c\/12)\/(-1) and -63\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2861*x - 33. Let l be a(8). Suppose 3*f = 8*f - l. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107*b*k**3 + 83*b*k**2 + 135*b*k - 2*b - 323038*k**3 + 165*k**2 wrt k.\nAnswer: 642*b - 1938228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16.8*19.9\nAnswer: -334.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/677751?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -6, 4, -10 in ascending order.\nAnswer: -30, -10, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 3*z**2 + 2*z + 1. Suppose -2*y - 2*y = -24. Suppose -154 = -y*m + 134. Suppose m*p = 51*p - 9. Calculate f(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Suppose -l + 3*i + 12 = 0, -i = -t*l + 3*i + 24. Suppose -2*c = -5*c + 3*o, -l*c = 5*o - 40. Solve -c = -a, a + 1 = 3*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29924*y**3 + 29184*y**3 - 1 + y**2 + 1 to f*y + r + b*y**2 + k*y**3 and give k.\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 67 = -512. Calculate the greatest common divisor of 89 and f.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4060.196 + 4013. What is k rounded to the nearest integer?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -2*p - 1 - 5 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, -2361, 3, -1740.\nAnswer: -2361, -1740, -0.2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 108, 95, 62, 3, -88, -217?\n\"Answer: -p**3 - 4*p**2 + 6*p + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -81365.\nAnswer: -1\/16273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 12:26 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n + 3*n - 202*n - 44 + 45.\nAnswer: -243*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1. Let s = 7 - h. Let j be (-18)\/s - (-5)\/20. Are j and -1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143365?\nAnswer: 5, 53, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c**3 + 5 + 3*c**3 - 3 to the form f*c**3 + z + t*c + b*c**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3447.\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qauvauvaqfafpvup. What is prob of sequence vp?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 149615 or 149632?\nAnswer: 149632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 - 42 = -13*q. Let y(k) = k**3 + 8*k**2. Let t be y(q). Suppose 5*c - 244 - 51 = -5*p, -4*p - 5*c + 241 = t. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3\/4 - 13345*i**2\/4 + 1132170*i - 90682020 = 0. What is i?\nAnswer: -2981, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -606159390 rounded to the nearest 100000?\nAnswer: -606200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - 11. Let o be s(-8). What is the second derivative of 264 - 264 + 7*c + 2*c + o*c**4 wrt c?\nAnswer: 156*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6975 = 43*r - 18*r. Suppose 0 = -2*n - 2*t + 7*t + 273, 3*t = 2*n - r. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/56 and -4 + 2516\/240 + 12\/(-9)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 351 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8815 + 9023. Is u greater than or equal to 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 2, i: 2, b: 1, v: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1353016.\nAnswer: 2, 7, 37, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5 - (-14)\/5) + 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 12*c + 15. Let d be m(11). Let h be (-1)\/d + (-42)\/24. Sort 1, 13, h.\nAnswer: h, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942654.\nAnswer: 2, 3, 157109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24315.83 + 5.\nAnswer: -24310.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f. Let s(k) = -5*k + 50*k + 33*k + 31*k. Give t(s(y)).\nAnswer: 218*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = 3*i - 63*i + 459. Let j = 0.07 - -0.43. What is the second biggest value in i, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0)\/(((-594)\/22 + -74)\/(0 - 1))?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*x**4 - 2*x**2 - 150*x.\nAnswer: 288*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7634851129 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 829611 divided by -829611?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17983692 a multiple of 1410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132470 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/72*4\/(-5)*1.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 7 = -y, -41 + 9 = -4*y + 5*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 6\/630*-45.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -17*f**2. Let h(o) = -o**2 - o + 1. Let u(b) = -4*b**2 - 2*b + 2. Let d(q) = 2*h(q) - u(q). What is w(d(k))?\nAnswer: -68*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**3 + 6*o**2 - 3*o + 6. Let s(n) = -n**3 - n**2 + n - 1. Calculate k(c) + 6*s(c).\nAnswer: -2*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h - 7. Let y(i) = -7*i - 5. Let w(f) = 8*f + 6. Let z(o) = 6*w(o) + 7*y(o). Give -b(p) - 6*z(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j - 119. Let g(t) = -2*t. What is v(g(s))?\nAnswer: -26*s - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-2))\/((-9)\/(-264)). Let p = -172 - t. What is the second smallest value in -0.5, 0.2, 4\/9, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1199 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -35*s**2 - 6*s - 4. Let a be g(-4). What is the remainder when a\/(-21) + (-2)\/(-7) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1584) + -1 + 4 - ((-2 + sqrt(1584) + -3 - sqrt(1584) - sqrt(1584)) + sqrt(1584) + (sqrt(1584) + (sqrt(1584) - sqrt(1584)*2))*5)**2.\nAnswer: -25 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 7 = -l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/(2\/(-24)). Let t be (83\/(-253150)*-122)\/(2\/10). Which is the nearest to -1\/17? (a) f (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*k - 28 = 0, 4*k = -3*m + 3*k + 25. Let u(c) = c**2 - 9*c - 2. Let a be u(m). List the prime factors of (1 + a)*(3 + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*-9*(-4)\/(-60).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 757321313 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3890 + -89694.1965\nAnswer: -93584.1965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -2*n - 3*u, -3*n - u - 19 = -8. Let t(c) = -23*c**2 - 2*c + 2. Let a be t(n). Let x = 136 + a. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0384, 4, 2\/9, 1\/2 in ascending order.\nAnswer: 0.0384, 2\/9, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67227425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/3)*z)**(-28\/3)*(z**(2\/3)*z)**(-6\/17))**(-29) assuming z is positive.\nAnswer: z**(113042\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58\/8)\/(40*(-1)\/160)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2774390, 5548779, 8323168, 11097557, 13871946, 16646335?\n\"Answer: 2774389*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 30 - 1176 = 0. Let n = s - 96. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**4\/6 - 3*d. Let j(o) = 6*o**2. Calculate j(k(b)).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 591789901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28\/3*a + 2\/3*a**2 - 10 = 0. What is a?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - h. Let m(j) = 260*j**2 + 174626 - 220*j - 174626. Calculate 2*m(f) - 440*r(f).\nAnswer: 80*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -0.133.\nAnswer: -2.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*3*-6)\/(((-1*sqrt(110) - sqrt(110)) + sqrt(110))\/sqrt(10)).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 13 - 8)*(-830*k + 2034*k - 886*k).\nAnswer: 4452*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f**4 + 2445*f**3 + 5250*f**2 - 18040*f - 4800 = 0 for f.\nAnswer: -120, -4, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5185 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4 (c) -8 (d) 0.4 (e) 1.414 (f) 3\/61 (g) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 813 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4800\/7*j - 1440000\/7 - 4\/7*j**2.\nAnswer: -4*(j - 600)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20790*w - 19560*w - 33210 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -0.44, -0.4, 4, -3 in descending order.\nAnswer: 4, -0.4, -0.44, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 19. Let y be c(-14). Let i be 454\/6 - (-6)\/y. Calculate the greatest common factor of i and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3243226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*n - 3. Let j(t) = 2 + 8*t**3 + 2*t**2 - t - 3*t**3 - t**2. Let o(v) = 6*v**3 + v**2 - v + 2. Let p(q) = n*o(q) - 7*j(q). Give p(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2*t**4 + 8)*(-13 - 2 + 3) + 8*t**4 + 0*t**4 - t**4.\nAnswer: -17*t**4 - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 4. Find the third derivative of -12*b**6 - q*b**2 + 6 + 0*b**2 - 2 - 6*b**6 wrt b.\nAnswer: -2160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1375082, -2750167, -4125252, -5500337, -6875422?\nAnswer: -8250507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5993\/912 - -1\/6384. Find the common denominator of (24\/(-7))\/((-793)\/(-273) + -3) and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -64?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*z + 70, 3*m = 2*z + 5 + 45. Let a(l) = l**3 - 26*l + 33. Is a(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d - 6 + 0*d - 3*d. Let u be f(11). Suppose u*v - 75 = -0*v. What is the remainder when 44 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186086 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 295085459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*g + 4, -2*w + 3*g + 0*g = -24. Suppose w*a - a = 9950. What is a rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-14) + (-15 - -12). What is the smallest value in 2\/11, o, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-180)*-3*(-6)\/4. What is the closest to x in 1\/4, 4, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/((-4)\/100) - -3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(8)*2)*-1 + -3.\nAnswer: -5*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13257 + 9053. Let c = -2743 - m. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(36)*5)\/sqrt(12) + 4*((sqrt(3) + 1*sqrt(3))*-6 + sqrt(3)))*-4)**2.\nAnswer: 167088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**8\/1120 + o**7\/112 + o**6\/60 - 157*o**3\/3 - 2*o + 16. Let d(v) be the second derivative of u(v). Solve d(n) = 0 for n.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 16 - 13. Let k(m) = 9 - 11*m + b - 5. Is k(-11) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 197404*w. Let l(c) = 15*c**2. What is o(l(t))?\nAnswer: 2961060*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 25 = 11*f. Let g(p) = -25*p**2. Let r(d) = 24*d**2. Calculate f*g(n) + 6*r(n).\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 4)*(141 - 17 + 150)*(3 - 2*b - 1 + 0).\nAnswer: 3288*b - 3288","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/133)\/((-328)\/6601).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-286)\/(-33) - -8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 56. Let k be f(28). Differentiate k*j**4 + 4*j**4 - 2*j**4 - 13 + 4*j - 11*j wrt j.\nAnswer: 8*j**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + p = -9, 12*y - 15*y = 3*p - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 84452\/16 + (-21)\/(-12) + -2. List the prime factors of x\/52 + (-1 + 0)\/2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55b0 (base 13) to base 15\nAnswer: -3833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25b (base 12) in base 14?\nAnswer: 1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453916 (base 11) to base 12.\nAnswer: 2aa150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 936?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 108?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -488.6279\nAnswer: 244.31395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 22 - 2 = 0. Let k be 32\/n - 6\/18. Solve -f - 15 = -k*b + 7, -4*b + 11 = -3*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(-m + 2*m + 0*m)*(85 - 140 - 89) to the form u + n*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 177271\/190 - 933. Let t = -959\/1710 + z. Is 0.1 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(1 - m**2 - 1)*(3*m**2 - 2*m + 2*m).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 577747963 to the nearest ten thousand.\nAnswer: 577750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -55*x. Suppose 2*a + 163 = 5*w + 1057, 1736 = 4*a + 3*w. Let s(j) = -220*j - 215*j + a*j. Calculate s(n(t)).\nAnswer: -110*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 30 = 2*z. What is the remainder when z is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2875292 and 7?\nAnswer: 2875285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1 + v - 1 + 0. Let l(s) = 9*s. Let z(q) = -l(q) + 6*u(q). Let d(y) = 3*y. Calculate z(d(a)).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33 + -5c?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x**(-1)\/x)\/x))**(-15\/4)*x\/x**(-6)*x*x**(-1\/3))**(1\/26) assuming x is positive.\nAnswer: x**(-43\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.204 - 0.304. Which is the nearest to 0? (a) -9 (b) 0.4 (c) g (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1018 (base 14) to base 4.\nAnswer: -223032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*-1 - -2)*(-28)\/28. Suppose -4*b + 2 = -14. Solve b*m + p*m = -20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + 48 - (-6 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210120 - 110?\nAnswer: -211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s - 12. Let d(c) = -63*c**2 - 14*c - 2. Calculate d(i(w)).\nAnswer: -2268*w**2 - 8988*w - 8906","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -0.3 (c) 0.2 (d) -12\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*f - 113*f - 135*f - 117*f + 371 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 20*o + 99. Let m be l(-24). Suppose j = 5*w - 7*w + 11, m*j + 9 = 0. Let x(a) = -2*a - 8. Let b(y) = 3*y + 12. What is w*x(t) + 5*b(t)?\nAnswer: t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 865.3*3.3\nAnswer: 2855.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, a: 2}. Give prob of picking 3 s and 1 a.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**2 + 6*q**2 + 2*q**3 - 5 + 5 + 2*q**3 + (0*q + 0*q - q**3)*(0 + 1 + 0) - 201*q**3 + 2606*q**3 + 2845*q**3 as v + i*q**3 + u*q + t*q**2 and give i.\nAnswer: 5253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -11. Suppose o = f + 3*f. Suppose f*u - 7*u = -260. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3189*o - 153450 = 1926*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/168)\/(145\/18270).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, p: 5, i: 1, m: 1, y: 5}. Give prob of picking 4 p.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-572)\/(-99) - 12\/(-54). Solve -15 + 39 = -u*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*x - 172 = -9*x, -3*x + 60 = y. Let h be (-20)\/6*y\/(-12). Solve -h = 3*c - 0*c - i, -i = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*w + 500, 5*c + w - 509 = 3*w. Is c a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*h - 30, 4*h + 10 = -3*w - 1. Suppose -a + w*k = -0*a + 10, 3*k = 12. Suppose -4*z = -z + 3. Put 3, a, z in increasing order.\nAnswer: z, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z - 4. Let m be (5 + -8)*(-10)\/(-6). Let v = -2 - m. List the prime factors of x(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116410*i**2 - 491832254*i + 16900.\nAnswer: 2*(i - 4225)*(58205*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1652 plus 2?\nAnswer: -1650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2328586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 151799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637318 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - q - 4 = q, -2*s - 5*q = 11. Suppose -s*t + 4*t = 22. What is the highest common factor of t and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/13673 and -26\/29667.\nAnswer: 36876081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -435727.3683 rounded to the nearest ten?\nAnswer: -435730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 4*a**2 + 25*a - 6. Let d(g) = g**3 + 7*g**2 - 3*g - 3. Let t be d(-7). Let l = 0 + t. Calculate the lowest common multiple of l and n(7).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 76037*z**2 + 2*z**3 - 76019*z**2.\nAnswer: 3*z**3 + 18*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2, 11.\nAnswer: -17, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f + 184 = 0. Let d = f + 553\/6. Let p = 1\/3 + d. Which is the smallest value? (a) 8 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.4. Let l = 4.13 - 4. Let p = l - 4.13. Which is the third smallest value? (a) p (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.350099980194 and -4.\nAnswer: -4.350099980194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*((2*d**2 - 4*d**2 + d**2)*(4 - 6 + 4) + 10*d**2 - 468*d**2 + 52*d**2) as c*d + q*d**2 + i and give q.\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-7 + -1 + (-162)\/(-36)*2. Let m(d) = d**2 + 2*d + 4. Let h(j) = -j**2 - 3*j - 5. Determine g*h(x) - 7*m(x).\nAnswer: -x**2 + 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqvz when four letters picked without replacement from {v: 2, q: 3, n: 4, z: 7, x: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 - 117. Which is the closest to j? (a) -0.1 (b) -0.02 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/2*6*195\/(-450)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-4)\/8*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*h - 15 = 0, 2*c - 18 = -2*h + 6*h. Let f = -4 + 3.6. Let p = -0.4 - f. What is the smallest value in 1, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 - -145. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 26*y. Suppose 128 = -29*d - 249. Let u be f(d). What is the biggest value in -2\/5, 0.4, -2\/3, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12471201 divided by 1?\nAnswer: 12471201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (7 - 9))*(-2)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4 + 32*x**3 - 92*x**2 - 288*x - 162.\nAnswer: -2*(x - 9)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 0*o + 3\/2*o**2 + 0*o**3 - 42 - 3\/16*o**4. Solve x(z) = 0 for z.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 18*u**3 + 41*u**2 - 38*u - 3. Give q(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1022 or 137.93?\nAnswer: 137.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 30*d - 32. Let s(t) = -31*t + 69. What is 3*g(q) + 2*s(q)?\nAnswer: 28*q + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 377363.93 + -375657. Let y = o - 1715. What is y rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(132) - sqrt(132)*1))\/(sqrt(120)\/(sqrt(40)\/sqrt(4)))*3 + (sqrt(88)*-2)\/(sqrt(2)*-2*5).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -60) + -70 - (4 - 22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -285 - 0?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17649 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1095 + 1094. Sort 4, 2\/137, 2\/9, k.\nAnswer: k, 2\/137, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16791 + -0.0655\nAnswer: -16791.0655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70566.\nAnswer: 2, 3, 19, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 25 - u**3 - 14 - 14 + 9*u**2 - 6*u. Let y be c(8). Suppose -20 = -2*l - 2*z, 2*z - z + 5 = 2*l. Solve 0 = -l*d - y - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39846 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 54?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -24 + 73 + -27 + 0 + 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 23*o + 36. Let w be k(21). What is the common denominator of ((-30)\/18 - 1)*16\/w and 35\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 6*h - 30 = 0. Let p(y) = -1 - y**3 - 4*y**2 - 3 + 1 + 4 + h*y. Is p(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -t - 16, 3 = -5*t + 5*z - 42. What is the biggest value in t, 2.6, -1, -3?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m + 8. Let n be l(7). Let w = n - 8. Let g = -12 - w. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652454763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 585169 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 854978274 plus 47.52?\nAnswer: 854978321.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*j**2 + 25*j**2 + 77*j**2 + (6*j - j - 3*j)*(5*j - 3*j - 3*j) in the form r*j + v + q*j**2 and give q.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -t + 2*t. Let b(h) = -3*h + 7*h + t*h + 7. Let a be b(6). Calculate the highest common factor of 22 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 45 = -6*q - 4*n, 0 = n + 1. Solve q*m = 12*m - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40940899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + z - 4. Let y be b(-3). Let t = y - 18. Suppose -4*f = 2*u + 1 - 9, 0 = 5*f - t*u - 19. Solve 15 = f*v - 6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (12 - 7) - (0 + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/2))\/k)\/(k**(-3)\/k))\/(k\/(k\/(k**1*k)))**14 assuming k is positive.\nAnswer: k**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3\/4 + 495*n**2\/4 - 81675*n\/4 + 4492125\/4 = 0. Calculate n.\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 153\/(-12) - (-68 + 55)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -30, 64*u - 66*u = 2*v - 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 10)*(-4)\/(-6). Suppose j*z - 5 - 13 = 0. Calculate the remainder when z is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88\/7920*(-24)\/18\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 41 = -5*d - 15, -4*u = -5*d + 28 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11454.\nAnswer: 2, 3, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5*v + 4)*(4*v**2 + 4*v**2 - v**2) - 1 + 5*v**3 - v**3 + v**2 - 6*v**3 + (-2*v**2 + 3*v**2 + v**2)*(-3 + 2*v + 3).\nAnswer: 37*v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9022265 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109\/84 + 1\/28. Let p be 1*4\/(-12) + 5\/6. Put c, p, 0 in descending order.\nAnswer: c, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 x, and 1 e when three letters picked without replacement from {y: 2, u: 2, x: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 3 - (-1 + 9\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 7*o**2 + 2*o - 3. Suppose 28 = 8*q - 28. Let v be z(q). What is the highest common factor of 44 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*h + 40*h - 38*h to v + b*h and give b.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u\/((u\/(u**(1\/2)*u))\/u))\/u*u)**33*(u**(-13)\/u)\/u*(u*u\/(u**(-10\/3)\/u))\/u)**(1\/4))**(4\/7) assuming u is positive.\nAnswer: u**(635\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 1083*a**3\/2 - 2047383*a**2\/2 + 1507716*a - 555366 = 0?\nAnswer: 14\/19, 1889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3*4\/(-24) + (-90)\/168 and -89\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 28\/34)\/(12\/8)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176667 is divided by 179.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -44, -165, -388, -743, -1260, -1969, -2900?\nAnswer: -4083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 557 - 541. What is the highest common factor of p and 240?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -7*x + 45. Suppose 4*i + 13 = -l, x*i = -3*l + 4*i - 4. Let u be (-16)\/l - (-4)\/14. Let g(b) = 2*b**3 + 4*b**2 + 4*b + 2. What is g(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.56 - -0.16. Suppose 2*p + 3*p = -u + 4, 2*u + 6 = 4*p. Which is the third smallest value? (a) k (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 10*b + 2. Let i be l(-4). Let h = i + 18. Suppose 38*m - 59 - 131 = 0. Sort h, m, 3, -5.\nAnswer: h, -5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 10:24 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y*y**(-12))\/y)\/y)\/y)**(2\/83) assuming y is positive.\nAnswer: y**(-26\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 0*l**3 + 1\/2*l**4 - 1 + l + 0*l**2. What is the derivative of w(z) wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, -921 in decreasing order.\nAnswer: 11, 1, -921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x + 12 = 0. Let m = -25 + 67\/5. Let w = x - m. Does 0 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = 4*v - 12, -5*h = -5*v + 45. Suppose -v*x + 47 = -61. Calculate the remainder when 51 is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/107893 + 16831323\/539465. Solve t*y + 3\/5*y**3 - 144\/5 - 48\/5*y**2 = 0.\nAnswer: 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*w + 4*w - 21 = 0, 0 = 2*w + 4. Let b = d + 64. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (-2 + sqrt(1053))) + 3 + 3 + -6*sqrt(1053)*-2*5)**2 + -5.\nAnswer: 8640*sqrt(13) + 3790859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -76, -294, -656, -1162, -1812, -2606?\n\"Answer: -72*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**4\/3 - y**3\/3 - y**2 - y. Let j(x) = -5*x**2 + 2*x + 3. Suppose 4 = 3*c - 2. Let m be (c\/1)\/(-2)*2. Give m*j(o) - 3*w(o).\nAnswer: -2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*r - 0*n + 18, -2*n + 15 = -5*r. Let y = r - -26. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1565*s - 4. Let i(y) = 6266*y - 19. Determine 2*i(n) - 9*r(n).\nAnswer: -1553*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + f**2 - f. Let w(m) = 18*m**3 + 3*m**2 - 3*m + 20. Let r(h) = 16*h**3 + 2*h**2 - h + 30. Let i(b) = -2*r(b) + 3*w(b). Determine -i(g) + 5*z(g).\nAnswer: -17*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1439 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1002*a - 53099. Calculate m(53).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 2, s: 1, u: 2}. What is prob of sequence us?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 1:23 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90881.\nAnswer: 7, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 53a07 (base 12) to base 8\nAnswer: 327347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 58*z**2 - 14*z + 24. Let w be l(-7). Suppose w = 6*y + 13*y. List the prime factors of y.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 9. Let m be k(-6). Let p be m - -3 - 1\/4. Let u be (-2 + 0 + 0)\/(24\/(-2)). Which is the biggest value? (a) u (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-18))\/((-2)\/(-6)). Suppose 5 = -5*k, x*k - 671 = -5*b - 75. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y - 23 = 36 + 74 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -10*m**3 + 2*m**2 + 4*m - 3. Does 7 divide x(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10417*b - 26. Let d(c) = -20825*c + 56. Give 6*d(n) + 13*s(n).\nAnswer: 10471*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1949 + 1954. Solve 604 = -d*o + 594 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 1 - 7. What is the units digit of ((-4)\/6)\/(a\/1287)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149952702461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + 7*g + 4. Let a(q) = -q - 1. Calculate -4*a(i) - v(i).\nAnswer: 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111001 (base 2) to base 13.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3313600 divided by 2?\nAnswer: 1656800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107308 smaller than 107308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4322 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66.4 + 62.33. Let i = a - -3.57. Sort -4, -5.2, -1, i in decreasing order.\nAnswer: i, -1, -4, -5.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.86 plus 8.6?\nAnswer: 9.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*(-2)\/(-1). Let x = h + 6. Let c(k) = -18*k + 1. Let s be c(-1). Solve b = 3*f - s, 0 = -4*b - x*f - 1 - 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2. Let i = -8314 - -49885\/6. Let c(r) be the second derivative of 0*r**2 + i*r**3 + r + 0. Calculate y(c(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - ((-84)\/12 - (-4 - -5)). Suppose -b - 6 = -2*b. Solve -j*q - b = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14524 is divided by 184.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**3 + 3*a**2. Suppose 2*x - 7*x - 110 = 0. Let s(u) = -15*u - 328. Let j be s(x). What is l(j)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (576\/12)\/((-6)\/4). Let f = 5\/5053 - -550707\/70742. Calculate the common denominator of f and (6\/c)\/(33\/(-1111)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4\/5 - 213564*u**3\/5 - 24598854*u**2\/5 - 48557004*u\/5 - 24171717\/5 = 0. Calculate u.\nAnswer: -113, -1, 71303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -523*b - 687*b + 54450 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4 - 8. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*((-1)\/(3\/(-12)))\/8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 9*x + 11. Suppose -3*i + 10 = 31. Let a = i - -15. Let w be r(a). Solve 3*n = 6*n + w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 534 and 1146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-8))\/((-6)\/8). Let q be (-1 - -2)\/(z\/(-8)). Suppose -2*c + 0*c + 10 = -3*p, q*c - 20 = 4*p. Solve -3*m = -8*m + 3*r + 30, c*r = 3*m - 34 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*o - 9. Let u(s) = -5*s**2 - 129*s - 817. Let f be u(-11). What is the fourth smallest value in -0.5, f, 14, o?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 263347\/960 - 824\/3. Find the common denominator of -63\/832 and i.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 127 + 155. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 49, 146, 321, 598, 1001?\n\"Answer: 4*x**3 + 3*x**2 + 6*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -308 times -660457\nAnswer: 203420756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3338.2051 and -0.067.\nAnswer: -3338.2721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzw when three letters picked without replacement from {z: 4, w: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*b - b = -8163, -6166 = -3*t - 5*b. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 357*j - 8. List the prime factors of g(1).\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1855848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/9)*u\/((u*u**4\/u*u)\/u))\/((u*u**(-1\/4))\/u**(1\/21)))**(-11) assuming u is positive.\nAnswer: u**(11495\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 205, 255, 305, 355?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32288962.\nAnswer: 2, 107, 150883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -49 (b) -0.2 (c) 9 (d) -3\/4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)\/i)**(-49)*i**(2\/9)\/(i*i\/(i*i\/i**(-1))) assuming i is positive.\nAnswer: i**(1367\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by -3628467.\nAnswer: 86\/3628467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2487, 2, 1, -214, 4\/11?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, b: 7}. What is prob of picking 3 b?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/12 - (-4)\/6 and 77\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 60*q + 39. Let m be v(-5). Let d = -155 - m. Let l(t) = d*t - 10*t**2 + 14*t**2 - 106*t. Let g(c) = -20*c. What is l(g(z))?\nAnswer: 1600*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -30*(-1)\/3 + -5. Let j = 38 + -27. Let k be 33\/j*1*-1. Sort 4, 2, n, k in decreasing order.\nAnswer: n, 4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 0.025?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*q = 3*s - 13, 5*s = q + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18) + (-46)\/(-126) - (-1485)\/(-105)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236, 211, 160, 77, -44, -209?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1336, 3939, 7772, 12835, 19128?\n\"Answer: 615*r**2 + 758*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Suppose 0 = -r - l + 4. Suppose -q = r*q - 60. Calculate the highest common factor of q and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -22, 304, -3, -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 9*u**2 - 15*u + 15. Let w(r) = 2*r - 4. Let y be w(2). Suppose 3*b + y*b - 36 = 0. Is n(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456592 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-340 + 340 + 442*l**2)*(-8 - 4*l + 8).\nAnswer: -1768*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*y - 126 = -9*y. Which is the third biggest value? (a) y (b) 0 (c) 2\/15 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from jjkcacchkckhchkcck.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s + 30. List the prime factors of a(5).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 345.515 - 346. Let c = h + 0.885. Put -1\/5, 5, c in decreasing order.\nAnswer: 5, c, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-93907*7\/(-7))\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -1)*-2*(-3)\/(-4). Suppose -236 - 94 = -s*k. Suppose 2*g - 2*i - k = 0, -4*g + g + 195 = 3*i. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirteen fifths of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0169 (b) 6370 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 517041 and 8100309.\nAnswer: 24300927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 362*m**2 + 1. Let u(g) = -g - 2*g + 43482 + g - 43482. Give u(s(k)).\nAnswer: -724*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.265 * -1730.69.\nAnswer: 458.63285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 9. Let i be q(8). Let d(u) = u**3 - 16*u**2 + 17*u + 10. Let v be d(i). Let r = v + 7. List the prime factors of r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 4, -0.1, -42\/5?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 126636000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 37*m**2 + 4*m + 148.\nAnswer: -(m - 2)*(m + 2)*(m + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9*a + 4. Let j(c) = 10*c - 5. Let f(k) = 5*b(k) + 4*j(k). Let d = 5095 - 5089. Let g be ((-2)\/(-6) - 0)*33. Let h(p) = 3*p. Give d*f(l) + g*h(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k**3 + 2*k + 1. Let v = 6 + -7. Let b be h(v). Calculate the greatest common factor of b and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 944881 or 944880?\nAnswer: 944880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1732249 is divided by 333.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16356404627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 + -13520.079181?\nAnswer: -13521.179181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 1 - (-1 + -2 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i**3 - 127 + 55 + 53 - 2*i as g*i**3 + v + u*i + o*i**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4483 smaller than -66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*g = -148, 150 - 54 = -2*t - 4*g. Let s = -47 - t. What are the prime factors of (-6)\/s*((-204)\/2)\/1?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24353.969046 - -24354. Let g = 0.031 - l. What is g rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 166064 and 32398.\nAnswer: 27732688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2112\/6292 + (-1 - 18\/(-22)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.834692l?\nAnswer: 4834.692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2350 and 9400?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 47 - 5. What is the remainder when 66 is divided by ((-56)\/6)\/(7\/m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61*0.0449.\nAnswer: 2.7389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988467847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5042, -10137, -15308, -20585, -25998, -31577, -37352, -43353?\n\"Answer: -5*i**3 - 8*i**2 - 5036*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikok. Give prob of sequence ki.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 - 248044*l + 17879904 = 0. Calculate l.\nAnswer: -62083, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 214 and -6469281.\nAnswer: -6469067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/((-135)\/(-10)))\/((-132)\/(-1122)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171621 and 66?\nAnswer: 3775662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/4 + (-204)\/(-16). Let u = s + -16. What is the closest to -0.1 in 5, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7174 in -30, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12111211 (base 3) to base 12.\nAnswer: 23aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 1305929096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2447558411 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-2)\/x)\/x)\/(((x\/(((x*x\/(x\/(x\/(x\/x**(2\/19)))))\/x)\/x)*x)\/x)\/x))\/(x**(2\/99)\/x**(-5\/3)) assuming x is positive.\nAnswer: x**(-10499\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = c. Suppose i - f = c + 4, 5*f + 41 = 4*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 b, and 1 l when three letters picked without replacement from {y: 4, l: 1, n: 1, b: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 - 63. Let k = 24 + t. Suppose -k*h**2 - 14 + 6 - 5*h + 33*h + 4 + 35*h**3 = 0. What is h?\nAnswer: 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c - 3. Let p be (21\/(-14))\/(c\/(-28)). Let o(m) = -11 + m**3 - 5*m + p*m**2 - 3*m + 16. What is o(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2880717 to the nearest integer?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*s**2*u**2 - 6102*s*u**2 + 223133*u**2 wrt s?\nAnswer: -8*s*u**2 - 6102*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4 = 2*v, -4*y = 87*v - 94207 + 94286 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 - 4 = 0. Suppose 5*r + 4*n + 30 = -0*n, 25 = -a*n. Let y(q) = q**3 + 2*q**2 - 3*q - 3. Give y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, -360, -753, -1094, -1371?\nAnswer: -1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 divided by 23.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3))**(-1\/43)*((y**(3\/5)\/y)\/y)\/(y\/(y*y**(-4\/5))) assuming y is positive.\nAnswer: y**(-1424\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -76*c. Let d(m) = m. Determine x(d(g)).\nAnswer: -76*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1284763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1572*j - 3*j**4 + 1572*j + 16*j**5 + 450*j**2 wrt j?\nAnswer: 960*j**2 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 12:57 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*u + 7. Suppose -2*c + c + 4*k + u = 0, 2*k = 0. What is the lowest common multiple of c and (-3)\/(-15) + (-18)\/(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25838200458 minus 0.053?\nAnswer: -0.31138200458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -4*y**6\/15 + 5*y**2 + 11*y. What is the first derivative of q(p) wrt p?\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 - 10*g. Let a be n(8). Suppose -86 = 9*t - 185. Calculate the highest common divisor of t and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/6 + -3)*-104. Suppose i = 3*q + 181. Let d = q + 48. Solve -n = 4*a - a, 2*n = -d*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -849 - -79815\/94. Is p >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnalnalllnrxaux. What is prob of picking 1 r and 3 l?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:56 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and -1?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 9534\/38 + -9 + 1903\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 13932, -0.5, -2, 4, -6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*u + 273. Let g be u\/40 + 3\/(-8). Solve -g*l + 3 = -3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.53 + 26.53. Let q = -3.933 - 0.067. Which is the closest to n? (a) -0.03 (b) q (c) 0.09 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10 = -5*b + d, 0 = -5*b - 5*d - 10. Let w = b - -5. What are the prime factors of (-2 - (-14)\/w)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21554 (base 8) to base 7.\nAnswer: 35303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + k**2 + 3*k**5 + (-9*k + 9*k - k**3)*(2*k**2 - 3*k**2 - k**2) - 3*k**4 + 4*k**4 + 0*k**5 + 2*k**5 + k.\nAnswer: 7*k**5 + k**4 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -13676061, -5 in increasing order.\nAnswer: -13676061, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-132)\/(-4) - (1 - -3). Let g = r - 23. Let f(d) = d**3 - 5*d**2 + 6*d. Is f(g) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -75334 and 19.3.\nAnswer: -75314.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 + 579573*a + 335904862329\/2.\nAnswer: (a + 579573)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1200 + -6320240?\nAnswer: -6316040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 787153926 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -18*o + 13. Let d = -54 - -58. Let c be d*(-2)\/16*2*3. Is z(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1478239?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*m - 20 = 0, -4*m - 8 = -6*m. Let b be (-2)\/u - 5\/12. Sort -2\/3, 5, b.\nAnswer: -2\/3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14355 - -344431\/24. What is the common denominator of -187\/60 and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 + 293*w**2\/2 - 30699*w + 361388\/3.\nAnswer: -(w - 541)*(w - 334)*(w - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -62*k**3 - 186*k**2 + 17. Let w(q) = -12*q**3 - 37*q**2 + 3. Calculate 4*v(b) - 21*w(b).\nAnswer: 4*b**3 + 33*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 24*i = 23*i + 8, -2*r + 4 = 31*i for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let x = 11 + -8. Let p(g) = x*g + 3*g - 3*g - g. What is p(t(y))?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 4. Let p(n) = 3*n - 8. Let d(m) = 2*p(m) + 5*w(m). Let j(b) = 2*b. Let i be j(4). What are the prime factors of d(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44016 divided by 336?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2299979717.\nAnswer: 7, 83, 3958657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.312 + 1.688. Let w = -6.7 - -7. Which is the third biggest value? (a) w (b) x (c) -4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/81765 and 51\/790?\nAnswer: 163530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 8) to base 11\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-5 + 10)) + (-15 - 22) - 7\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2 - 3294*w - 478920 = 0. Calculate w.\nAnswer: -130, 1228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 4. Let o be k(-8). What is the lowest common multiple of 20 and (-2)\/o*-50 + -1?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16\/5 (b) 2\/23 (c) -5\/8 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 28 - 35 + 101 - 38.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2))**40\/(((q*q**5)\/q)\/q**6))\/((q\/(q*q**(-1\/9))*q**(1\/2))\/((q\/(q**(2\/3)*q))\/q)**(-33\/4)) assuming q is positive.\nAnswer: q**(-211\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 10, -54, -0.1, 3, 5\/3, 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h**2 - h**3 + 0*h + 8*h**2 - h + 3*h**4 - 4*h**4 to the form a*h**4 + y + g*h + f*h**2 + j*h**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.188 (b) 113 (c) -2283 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 405, 446, 501, 576, 677, 810, 981, 1196?\n\"Answer: t**3 + t**2 + 31*t + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-4 + sqrt(90)\/sqrt(2) + 1 - ((sqrt(245) - -1*((sqrt(245) - (sqrt(245) + -1)) + sqrt(245))) + -2))**2.\nAnswer: -92*sqrt(5) + 2649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b6 (base 13) to base 9.\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**1)**(6\/25)*d**3\/(d**8*d) assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 10*h**2 - 19. Give r(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*q - 226*q - 16 = -460*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*c)*(-2*c**2 - 2*c**2 + 3*c**2) + (-3*c**3 - 3*c**3 - 40*c**3)*(-1 - 2 + 1) + c**3 + 3*c**3 - 2*c**3.\nAnswer: 96*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15276\/5 - -3056. What is the third biggest value in 43, -0.08, y?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 16 + 45 = 0. Suppose 57*w + 96 = d*w. What is the lowest common multiple of w and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l + 1. Let f(j) = j. Give -18*f(d) - 2*t(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -142, -140, -138, -136, -134?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1294490.\nAnswer: 2, 5, 129449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*t + 159*t + 4*u = 25, -3*t + u = -10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**4 + 5*x**3 - 3*x**2. Let k(c) = -5*c**4 - 4*c**3 + 2*c**2. Let b(v) = 5*k(v) + 4*s(v). Find the third derivative of b(n) wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -890, -279, 696, 2035, 3738?\n\"Answer: 182*m**2 + 65*m - 1137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2941008, 2940988, 2940954, 2940906, 2940844, 2940768?\n\"Answer: -7*v**2 + v + 2941014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16137 + -10526?\nAnswer: -26665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35991 and 95976?\nAnswer: 287928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0*w - 4*a - 300, 2*w = -3*a + 272. Let g = w - 140. Solve -4*j - g*v + 14 = -v, 10 = -5*v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*p - 2270 = 6*p - 53*p + 5344 for p.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 702422628 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, v: 7, o: 4}. What is prob of picking 2 o?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247719 is divided by 246.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*t - 28003 = 111405, 0 = -3*h + 2*t + 104558. What are the prime factors of h?\nAnswer: 2, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**2 + 3*q + 3. Let k be -1 - 0 - (-4 - -1). Let x(i) = 3*i**2 - 6*i - 6. Let c(t) = t**2 + t + 1. Let g(p) = k*c(p) + x(p). Give 6*b(l) + 5*g(l).\nAnswer: l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 2544149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 2)\/(3\/(6 + -3)). Is 21 a factor of r + (-3 - -94 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.53 - 3.73. Which is the closest to 3? (a) z (b) -19 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 487241*r**3 + 303622 wrt r.\nAnswer: 1461723*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 12. Let v be (j\/(-4))\/1*46. Find the third derivative of -16*d**6 + 27*d**2 - 20*d**2 + v*d**2 wrt d.\nAnswer: -1920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16595472149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31020187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.6*-5582.\nAnswer: 64751.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 354728911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149, 2606, 9787, 23608, 46283, 80026?\nAnswer: 127051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59.07 - 59. Let v = 7\/40 - -3\/40. Which is the nearest to -2\/5? (a) v (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 6:25 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201 divided by -67.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21200111 (base 3) in base 16?\nAnswer: 15e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*u = 66*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -22*t**2 + 9*t + 210. Let s(b) = 13*b**2 - 5*b - 104. Determine 3*d(w) + 5*s(w).\nAnswer: -w**2 + 2*w + 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1008 divided by 6.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*y - 3*q, -y - q = q + 2. Let w be (0 + y)*(-2)\/6. Let c = -329\/4 + 82. What is the third smallest value in w, c, -4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 600 + -588. What is the remainder when 803 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from bilbbiibbbblbliylbb?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 27. Suppose -3*z = 2*z - 85. Calculate the remainder when z is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-12)\/4 - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 9*v**2 + v - 3. Let a be h(9). Let y = 5 - a. Does 4 divide (1\/3)\/(y\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1185406 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1919501 by 255.\nAnswer: -1919501\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**3 - w**3 + 60*w - 60*w + 2*w**2 in the form m + o*w**3 + g*w + d*w**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*f - 35*f - 39*f + 69*f - 20*f in the form l + d*f and give d.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*s + 27*k**2 + 105567*k*s + 1071879*s - 3 wrt k.\nAnswer: -2*k*s + 54*k + 105567*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*r - 11, r = 5*t - 9*t. Find the common denominator of (14\/(-147))\/(r\/469) and 27\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -176096, -704234, -1584464, -2816786?\n\"Answer: -176046*f**2 - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-1)*(-38)\/19.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0, -19, -1, -140?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1726876 take away -302.6?\nAnswer: -1726573.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0.09971\nAnswer: 0.90029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 100000010111101010010111 (base 2) to base 3\nAnswer: 120222002221210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q. Let f be x(4). Suppose -4*w + 3*h + 61 = 0, f*h - 2 - 38 = -4*w. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69\/265, -1\/3, -3\/8, -74 in ascending order.\nAnswer: -74, -3\/8, -1\/3, -69\/265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/50)\/((-208)\/70 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2\/9 + 13148*s\/9 - 26344\/3.\nAnswer: 4*(s - 6)*(s + 3293)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -3*i**2 + 18*i + 445. Let z(d) = 2*d**2. Give z(o(t)).\nAnswer: 72*t**2 - 432*t + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 3:49 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3158339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkzz when four letters picked without replacement from zkkkzkkkzkzzkk?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/22 - 1\/((-360)\/200 - 4\/(-5)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -896 = -9*l + 85. List the prime factors of l.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127.74 + 127.94. Which is the third biggest value? (a) w (b) -1 (c) -23\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/5, 2\/171, -0.25, -1\/8 in decreasing order.\nAnswer: 7\/5, 2\/171, -1\/8, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141000.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 2*n**3\/3 + 12. Let v(y) = -y**2. What is v(j(p))?\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 285775017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.5592nm to micrometers.\nAnswer: 0.0715592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1734.283 hours?\nAnswer: 104056.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 375 = 3*b + 364, -4*r = 2*b - 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*f - 677 = 295. Let c be 6\/(-9)*33*-1. Suppose c*m - 972 = f*m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13119320 divided by -8.\nAnswer: -1639915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/21)\/((-4)\/18). Suppose 5*t - w*c - 24 = -0*t, -4*t = 3*c - 3. What is the third derivative of 0*j**4 + 6*j**2 + 6*j**4 - t*j**4 + 0*j**4 wrt j?\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 984 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 13*f**2 - 13*f + 2. Let n be j(12). Let c be (4\/n)\/((-1)\/5). Let m(v) = 4*v - 2. Let w(p) = 13*p - 6. What is c*w(k) - 7*m(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 77, -1\/852, 1, -0.03, -8?\nAnswer: -1\/852","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -4*o. Suppose -6 = o*g - 4*g. Suppose 0 = -5*d - 4*w, 3*d - 2*d - g*w - 19 = 0. Solve 3*f - 4 = -d*s + 9, -f = 5*s - 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t - 9*t - t - 5*t as j + i*t and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, e: 7, l: 4, k: 1, c: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6388 divided by -6\nAnswer: -3194\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 452 - 427. Sort 5, v, 1 in increasing order.\nAnswer: 1, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.182*-2\nAnswer: -0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6962, 7566, 8170?\n\"Answer: 604*k + 6358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 567713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 163?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m + 0*m - m + (3 - 2 - 3)*(2*m - 4*m + 3*m) - m + 5*m - 6*m + 0*m - 3*m + 2*m)*(-2 + 1 + 6) as p + n*m and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*i + 77 - 57, 4*a = -2*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -29. Let w be (0 + o)\/(-1)*1. Suppose 2*a - 7 - 7 = w. What is the remainder when 34 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhghpupptttu. Give prob of sequence uphg.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95804\/1114 + 510\/(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 3*z + 4*d + 3, -z - 4*d = -23 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201649895*0.3.\nAnswer: 60494968.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -96, -369, -830, -1485, -2340, -3401, -4674, -6165?\n\"Answer: -b**3 - 88*b**2 - 2*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(1 - 38\/36). Suppose 3*r = r + 6. Let y be (d\/(-5))\/(r\/(-200)). Round y to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -71*h**3\/3 - 5*h**2 + 108*h. What is the derivative of o(z) wrt z?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/((-14)\/(-35)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211 - -10?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1939 or -1942?\nAnswer: -1939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 258\/7*q**2 + 0 + 0*q + 15\/7*q**4 + 93*q**3.\nAnswer: 3*q**2*(q + 43)*(5*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10765 = 246*i - 241*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100 + -47. Suppose r = 5*w - 480, 7*w = 9*w + 3*r - 175. What is the remainder when w is divided by i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 7:25 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 2. Let q = 2 + -6. Let r be y(q). Find the common denominator of 524\/(-96) + (-4)\/r and -13\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45.1? (a) 2\/9 (b) -0.23 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*s**2 + 2*s**3 + 13*s**2 + (-2*s**2 + s - s)*(-2 + 1326*s - 836*s + 3160*s + 2678*s).\nAnswer: -12654*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h + 0*h + 4*h. Let k(w) = 6*w**2 + 10*w - 10*w. Determine v(k(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, p: 4, k: 3, j: 1}. What is prob of picking 1 y, 2 k, and 1 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4 + 860456*q**3 - 92564412634*q**2 + 3516267233260*q - 6662283699600 = 0.\nAnswer: 2, 36, 215095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*v**2 + 0)*(-18*v + 20*v + 18*v) + 4*v**3 - 5*v**3 - 6*v**3.\nAnswer: 33*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1013?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 7)*(-39*x**2 + 33577 - 33577) as j*x**2 + o + b*x and give j.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -70*a**2 - 183*a - 13. Let s(o) = 33*o**2 + 92*o + 6. Calculate 6*f(d) + 13*s(d).\nAnswer: 9*d**2 + 98*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 390 + -342. What is the remainder when q is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12152 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37533\/19 or 1974?\nAnswer: 37533\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 22*o + 4915. Calculate x(60).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185154*k**3 - 105*k**2 + 1952*k + 19757 wrt k?\nAnswer: 1110924*k - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -164bd0 (base 14) in base 2?\nAnswer: -10111110110101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-7 - 5) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4 + 8. Suppose -10*a - 20*a = -90. What is the least common multiple of a and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42*(-8)\/(-96)*(-1352)\/(-91)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -202 - -239. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3632, 7262, 10888, 14510?\nAnswer: 18128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*v + 20. Is 38 a factor of (v + (-30)\/(-9))\/(5\/7410)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 672432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17187)\/1011 + -1 + (1 - -1 - -8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*t + 42607, 10*t - 79193 = -5*w + 6042. Calculate the highest common factor of t and 360.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 1016*h**7\/105 + 2555*h**3\/6 + 50*h**2 + 15. What is the derivative of b(i) wrt i?\nAnswer: 8128*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000001111000010100 (base 2) in base 4?\nAnswer: 2001320110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19234 + -11037. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 10*i - 18. Let a be j(-12). Calculate the greatest common divisor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*r - 54*r + 4*r to the form a*r + s and give a.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7073049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2. Let m(c) = 26*c**2 - 295*c + 2. Give m(i(g)).\nAnswer: 416*g**4 - 1180*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19175 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 2*t + 32. Suppose -21 = -2*y - 9*k + 10*k, -5*k = -3*y + 49. What is the greatest common factor of y and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 42. What is the smallest common multiple of (j - 15)*(-18 - 0) and 4 + (4\/(-1))\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2329982?\nAnswer: 2, 1164991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -970 - -1072. Let y = 110 + -42. Calculate the highest common factor of y and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/(7 - 28\/3). What is the second biggest value in 4, -2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 115*x + 17. Let d(z) = -116*z - 17. Let w(i) = 3*d(i) + 2*o(i). Let m be 1 - 33\/(-11) - (-1 - -15). Is w(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(6*(sqrt(4212) - 1*sqrt(4212)) - sqrt(4212)))\/(-3*(sqrt(100) + 6*(sqrt(100)*-1 + sqrt(100) - sqrt(100)) + sqrt(100)))*-5)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*r + 70 = -56*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41679.\nAnswer: 3, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -17*h. Let p be l(-2). Let u(i) = -12*i - 83. Let k be u(-9). Let f = p - k. Calculate the remainder when 25 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1539378, 3078773, 4618168, 6157563, 7696958?\n\"Answer: 1539395*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1076, 1\/4, -5.3, -4\/7?\nAnswer: -0.1076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 121, 338, 651?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (1 - 70\/(-10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011100111000 (base 2) to base 9.\nAnswer: 21346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -16*k**3 + 3*k. Let w be i(2). Which is greater: w or -123?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*p + p - 111835 = 0, -5*p = -10. Suppose 144010 + t = 13*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**4\/24 - w**3 - 2*w**2. What is the units digit of q(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*x - 4*k, -5*x - 2*k + 1 - 18 = 0. Let g be (0*(-4)\/(-24))\/x. Put g, 56, -4 in descending order.\nAnswer: 56, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 10) to base 2\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2624002231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -17, 0.5, 1\/10, -18\/11, -0.5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j - 38. Let o be v(9). Suppose -6 - 15 = o*g. Put 14, g, -4 in descending order.\nAnswer: 14, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7811253.\nAnswer: 3, 449, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-15) - (-1 - 63\/(-15)). What is the third biggest value in -5, 2, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1542449 + -6850015965\/4441. What is the common denominator of p and 31\/3?\nAnswer: 13323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -192*x - 2030. Give u(-9).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47458 is divided by 1808.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkyzyz. What is prob of picking 1 z and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*s - 169 + 157, 5*f + 20 = -5*s. Let c(w) = w**2 - 2*w + 2. Let v be c(2). Suppose f = -4*y + y + 4*q + 1027, -v*y = q - 670. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 631 + 506. Suppose -o + 4*o + b = 0. Let z = -120 - o. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 3*y**5\/80 - y**4\/16 - y**3\/4 - y. Solve h(s) = 0 for s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-26)\/39)\/((-1)\/33). Let t(l) = l**3 - l. Let f(w) = 10*w**3 - 11*w - 1. What is s*t(m) - 2*f(m)?\nAnswer: 2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -598 - -6580\/11. Let k = 0.064 + -0.664. Which is the nearest to -2\/3? (a) m (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227\/227*((-6)\/(-9))\/((-6)\/279)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*u**2 + 36*u**3 - 2*u**2 + 316*u**3 + 1298*u**3 to the form l + i*u + d*u**2 + w*u**3 and give w.\nAnswer: 1650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 3*f + 2*f)*(-2*f + 2*f - 2*f)*(2 - 7 + 3).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.7 in -128, 1\/3, 116, -7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 7\/3*c**5 + 4\/3*c**6 - 78*c**2 + 0*c + 0*c**3 + 5\/336*c**8 + 11\/42*c**7 + 0*c**4 + 0. Factor b(d).\nAnswer: 5*d**2*(d + 2)**2*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -381, 0.4, -3\/2, 7, 0.02?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.01916611 rounded to 5 decimal places?\nAnswer: 0.01917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12482560 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16893300 divided by 15\nAnswer: 1126220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 751747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1040, -1012, -934, -782, -532, -160, 358, 1046?\n\"Answer: 4*n**3 + n**2 - 3*n - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -1459.\nAnswer: 7\/1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 9*s**2 - 14*s + 15. Suppose 36 = 3*m + t, -t = -4*m + 2*m + 19. Is w(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f**2 + 3*f. Let h(x) = -105*x**2 + 40*x. Calculate -3*h(w) + 40*q(w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46209273?\nAnswer: 3, 11, 19, 73699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**6\/120 + p**5\/10 - p**4\/12 + 2*p**3\/3 - 2*p**2. Suppose 13 = g - 17. What is the remainder when g is divided by y(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292835069 take away -1.57?\nAnswer: -292835067.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418.7819l to millilitres.\nAnswer: 418781.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113 or -410186?\nAnswer: -410186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:14 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 5) + (-3 + -11)*-1. Let z(k) = -k + 13. Let o be z(l). What is the units digit of 4 - 5 - (o + -119)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 3268*o + 135654. Calculate p(-41).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, l: 5, x: 3, y: 2}. What is prob of picking 3 x?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 50.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 + 2*z. Let w be q(4). Suppose -4*a - 23 = -3*c - 4, 0 = 2*c - 2*a - 14. What is the greatest common factor of w and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -14 + 107. Let m = -29 + a. Suppose -2*i = 8 - 2. Put -5, i, m in increasing order.\nAnswer: -5, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbii when four letters picked without replacement from {a: 4, y: 1, i: 3, b: 4, r: 2}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 145*k = 141*k + 36, -4*k + 28 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (202\/12)\/((-4)\/(-477)). Let p = 2010 - q. Calculate the common denominator of p and -83\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*y = -46*y + 584 + 511 - 107 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41720 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65228645?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 2652*b + 10560.\nAnswer: 3*(b - 880)*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 329 - 206. Let w = 127 - d. Solve 4*l + 20 = w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 s, and 1 w when three letters picked without replacement from azssszzsaw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -225.6 + 225.5. Let s = -0.04 + 0.34. Let o be 1 + -1 - 34\/(-153). Which is the closest to m? (a) -5 (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a**3 + 31*a**3 - 62*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -19. Let v be -2 + u - (2 + -6). Let n = 0.03 - 0.43. What is the nearest to v in -3, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 6, 5\/3 in descending order.\nAnswer: 6, 5\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, i: 3}. Give prob of picking 1 i and 2 u.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n = -446. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/154 and 3333\/(-16170) + (3 - 26\/10).\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 836 (base 13) to base 2\nAnswer: 10101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7499, 7498, 7497, 7496, 7495, 7494?\n\"Answer: -d + 7500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*j**4 - 7*j**5 - 34*j**4 + (-3*j**5 - 4*j**5 + 6*j**5)*(-2 + 5 - 1) - 560 + 560 + 23*j**5.\nAnswer: 14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/5)\/((-6)\/(-20)) is divided by (-114)\/12*(-186)\/589.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -573740 take away -27.8?\nAnswer: -573712.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 398719002*p**4 - 470223581*p.\nAnswer: 4784628024*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 191690942*t**5 - 20*t**2 - 2860514*t - 2 wrt t.\nAnswer: 11501456520*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szzzzszz. What is prob of sequence zzss?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 16*v + 5. Let u(a) = 17*a + 5. Let h(c) = -7*t(c) + 6*u(c). Let r(x) = 15*x + 7. Give -7*h(k) - 5*r(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -31. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27247, -41416, -55585, -69754, -83923, -98092?\nAnswer: -112261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**2 + 210*z + 215 = 0. What is z?\nAnswer: -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1076?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + m + 25 = 0, 5*t - 3*m - 39 - 1 = 0. What are the prime factors of ((-255)\/(-6))\/t*2?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 - 68*s**3 - 26*s + 28*s**3 + 1 + 36*s**3 wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, 12.5, -29\/3, 2\/19, 0?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6038 + 0.003992?\nAnswer: 6038.003992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5 + 8 + 5 + d. Let h be y(-6). Suppose h + 0 = 2*t. Solve -2 = n - t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -306 - -308. Suppose o*z - 3*q - 1330 = 0, -8*q = -6*q. List the prime factors of z.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3327 + -3345. Which is the nearest to h? (a) -2\/9 (b) -5 (c) -2\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 433168 divided by 15.\nAnswer: 433168\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1)\/u*u)\/u*u*u*u\/(u\/(u*(u*u**3)\/u))*(u**(-1\/2)\/u)**(-12))**(2\/3))**(-11) assuming u is positive.\nAnswer: u**(-484\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2 - 17 = 3*h, -3*h + 5*y = 7. Let n(w) be the second derivative of -1\/2*w**3 + 0*w**2 - w + 0 - 1\/12*w**4. Determine n(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.39 + 1.09. Let s = d + 56.1. Round s to zero decimal places.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32060393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -2\/1049026661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s + 7*s + 9*s)*(-3 + 1 - 4)*(-s + 54*s + 21*s) to t*s**2 + i*s + a and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*k - 546 = 0, -2*k = 7*o - 6*o + 132. Let n = 121 - o. List the prime factors of n.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20659 + 1055 = 327*d + 4224 + 697 for d.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7463 + 7477. Solve 14*v - q = -42 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inxn when four letters picked without replacement from {a: 1, v: 1, x: 1, i: 1, n: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*f - 363 + 344 - 1068 - 695 = 0 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162567801?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-165)*-93 + -2*(1 + -4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3519.51632 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - -4 - 189\/3. Let w = h + 1237\/20. Calculate the common denominator of -49\/16 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15636353191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 u when four letters picked without replacement from qcbqbcbqucwbbqbqbcbb.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**2 - 11 + 0*x**2 + 12 - 329*x**2 - 334*x**2 + 592*x**2 + (-2*x - 3*x + 3*x)*(5*x + x - 4*x) + 2*x - 2*x**2 - 2*x + (1 - x - 1)*(x + x + 0*x).\nAnswer: -74*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, c: 1, u: 5}. What is prob of picking 1 z and 1 u?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 104\/5 (c) 0.46 (d) 2\/333\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*g + 5*g**2 + 86 - 84 - 57*g + (g**2 - 1 + 1)*(-1 + 1 + 1).\nAnswer: 6*g**2 - 45*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -71?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26100 and 113100.\nAnswer: 339300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-1\/3)*h*(h*h**(-1))\/h)\/(h**1*h)**(-15))**(-38))**41 assuming h is positive.\nAnswer: h**(-148010\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 - y - 2. Let m be t(2). Suppose 4*a - 3*v - 27 + m = 0, 0 = 2*a - 5*v + 1. Let g(c) = -a - 4*c + 4*c - 6*c + c**2 + 12*c. Give g(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + -8 + 14\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1465 divide 125924837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -23. Let r(m) = m**2 + 8*m - 5. Calculate the remainder when 9 is divided by r(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 31. Calculate v(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {l: 1, y: 2, g: 5, w: 3, u: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.0089 - -38. What is j rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j + 12. Let w = 139 + -136. Let q(r) = -61 + w*r + 65 - 8*r + 2*r. Let k = -30 + 19. Determine k*q(u) + 4*c(u).\nAnswer: u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*m. Let z = 45753\/28 + -1634. Which is greater: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdybduuddb. Give prob of sequence byb.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 w, and 1 q when four letters picked without replacement from {h: 6, q: 1, w: 2, f: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009067652 rounded to seven decimal places?\nAnswer: -0.0000907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2. Let i(g) be the third derivative of -g**5\/20 + 3*g**4\/4 + 2*g**2 - 17*g. Give f(i(w)).\nAnswer: 18*w**4 - 216*w**3 + 648*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -48. Let y = 15 - g. Which is the closest to 1? (a) -5 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 589 divide 458242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 12\/54*3 + (-56)\/(-24). Let a(w) be the first derivative of 10 - 10*w**2 - w**4 - 16\/3*w**h - 8*w. Factor a(i).\nAnswer: -4*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2531863 by 2077.\nAnswer: -1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 5 - 0 - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*b - 87. Let k = 40 - b. What is the greatest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 24*o**5 + 52*o**4 + 76*o**3 + 60*o**2 + 40*o - 8. Let j(q) = -q**5 + q**3 + q**2 - q + 1. Let h(l) = 12*j(l) + r(l). Factor h(w).\nAnswer: 4*(w + 1)**4*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 3:02 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313673251.\nAnswer: 29, 10816319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 8*n = -32292. Suppose -16*q + 49852 + n = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w = -5. Let o = w + -1. Put 5, o, 1 in decreasing order.\nAnswer: 5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*303262.\nAnswer: -1819572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 divided by -156294?\nAnswer: -329\/156294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 5*s**2 - 7*s - 2. Let h be n(-5). Suppose 15 = -4*i + 3*j, 4*i - i + 5*j + h = 0. What is the units digit of -2 + (-3)\/i*12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 8*x - 4*x in the form f*x + u and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1163 * -0.1.\nAnswer: 116.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103021 - -103?\nAnswer: 103130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 29.021. Let u = y - -0.221. Let d = -3.06 - -0.06. What is the closest to u in -1\/2, -4, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2)*r)**(-4\/7))**(-2\/109))**(-1\/2) assuming r is positive.\nAnswer: r**(4\/763)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j*j*j\/(j\/(j*j\/(j*j\/(j**(3\/4)*j))*j)))*j*j)\/j)\/j**(-1\/3))\/(j\/(((j*j**(3\/4))\/j)\/j)*j*j**(-5)))**(-46) assuming j is positive.\nAnswer: j**(-184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 75 (b) -0.3 (c) -16 (d) -0.5 (e) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, b: 3, z: 4, c: 4}. What is prob of sequence bbzz?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 34762266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2. Let t(r) = -1111927*r. Give t(g(c)).\nAnswer: -2223854*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2381?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 725603*t**6 + 3798*t**2 - 4*t - 10 wrt t.\nAnswer: 87072360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/19)\/b*b)\/b*b*b*b*b*b**(-1))**(-2\/59)\/(b**5*b**0)**(1\/22) assuming b is positive.\nAnswer: b**(-139\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1138 divided by 37715.\nAnswer: -1138\/37715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 3. Suppose -3*z = 2*z - k. Suppose -j = z*j. Solve y + 4 + 1 = j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10998.249 - -11003. Let o = 33.2 - 28.6. Let m = n - o. What is m rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8 - -8*9\/(-288)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16760, -33531, -50304, -67079, -83856?\nAnswer: -100635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 43. Suppose -5*a = -24 - 146. What is the remainder when a is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 314*h = 310*h + 28, -128*b + 14 = -124*b + 2*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006689 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5\/2 (b) 0.08 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18266568502 + 18*v + 18266568502.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 7 + 8\/3*l**3 - 9\/2*l**2 + 0*l. What is the second derivative of f(h) wrt h?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 12 = -u. Let n = 2 - u. Let a = n + 2. Solve 0 = d - a + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 164*w + 2 - 5.\nAnswer: 164*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 9*a. Let x(f) = 16*f**2 - 45*f - 1. Let d(n) = 2*x(n) - 11*y(n). Let m be d(8). Does m = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 448*g + 13. List the prime factors of n(17).\nAnswer: 3, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from gwwwggw?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Suppose -5*o + 26 = 2*g, i*o + 5 = g + 10. Calculate the remainder when g is divided by 1 + -1 + -1 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**14\/(b**22*b))\/((b*b**21)\/(b*b**(3\/4)\/b)) assuming b is positive.\nAnswer: b**(-121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + w**2 + 24*w - 46. Let i be t(3). Solve -46 = i*m + 2 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 f when three letters picked without replacement from {q: 2, i: 5, f: 2, r: 2, c: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a week?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 521*p - 61856. Give v(-183).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of -21 - -18 - 241\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(3 - 4))\/(-1)*432\/95976*31?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l + 8*l + 4*l + 0*l. Let v(c) = 6*c**2. Determine n(v(w)).\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*n - 3*x + 2*x, n - 4*x = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9857819 nanometers in millimeters?\nAnswer: 0.0000009857819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -31\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1365*p + 1363*p - 12. Let q(w) = w**3 + 3*w**2 - 2*w - 7. Let s be q(-3). Sort p, -3, 5, s in decreasing order.\nAnswer: 5, s, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13584611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4 - 12. Let m be l\/2*(-10)\/(-8). Let n be (3\/6)\/(1\/(-2)). Sort n, m, 3.\nAnswer: m, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21908*f**4 + 367*f**2 + 12.\nAnswer: 525792*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, t: 1, q: 3, a: 4, w: 1}. Give prob of sequence abt.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -5*c**2\/2 - 3*c + 2. What are the prime factors of u(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {q: 1, r: 2, d: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-1)*b))\/b)**(-2\/25)*b**2\/(b*b\/(b*b\/(b**(-2\/15)*b*b)*b)) assuming b is positive.\nAnswer: b**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 9:14 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-24) + (-2)\/24*3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -137610, -275209, -412808, -550407, -688006, -825605?\n\"Answer: -137599*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -12*s + 25 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 42.58. Let u = k - -11.02. Let g = u + -13. Which is the second smallest value? (a) -0.1 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 117 = v - 471, -4*y + 3*v = 477. Let j = 159 + y. Calculate the least common multiple of j and 27.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 7. Give f(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1339.5 + 23.5. Let l = d - -1316.01318. Round l to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in -9, 5, 50\/17, -16?\nAnswer: 50\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/43 (b) 30 (c) -2\/11 (d) 406\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9905769 + 9905678.99882. Let d = -90.091 + 0.091. Let m = h - d. What is m rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43784.0564 rounded to zero dps?\nAnswer: -43784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/30)\/((-656)\/820).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**4\/12 - 7*x**2 + 4*x - 272. Let u be (-2)\/(-7) + (-99)\/(-21). What is the remainder when 21 is divided by f(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.8 + -9.8. Let o = 5153141\/68 + -75780. Let c = -1\/68 - o. What is the smallest value in -4, 2, c, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2133243, 2133239, 2133241, 2133255, 2133287?\nAnswer: 2133343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 529 + -256. Calculate the remainder when b is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7606971*c**2 + 7 - 11 + 4.\nAnswer: -7606971*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.012657 - 4953268941.\nAnswer: -4953268940.987343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 6 = -10. Put w, -2, -13 in decreasing order.\nAnswer: -2, w, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 8*k - 46 = 5*n, -k + 3*n + 23 = 0. Solve 0 = -8*b + k + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 - -11) + 2\/2. Suppose -f*q - 21 = 2*z, 9 = -2*z - 5*q - 22. Sort 1\/9, 0.4, z in decreasing order.\nAnswer: 0.4, 1\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.05 - -7. Let r = 0.14 - 0.04. Which is the second biggest value? (a) i (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -167*y + 2. Let i(m) = -188*m + 4. Let n(k) = -5*b(k) + 4*i(k). Let p(j) = 28*j + 2. Give -6*n(x) + 17*p(x).\nAnswer: -22*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y = 11. Let k(t) = 57*t - 12 - 3 - 18*t - 2*t**2 - 12*t. What are the prime factors of k(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2684, 5364, 8042, 10718, 13392, 16064, 18734?\nAnswer: 21402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61240556, 122481115, 183721674, 244962233, 306202792?\n\"Answer: 61240559*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 10 = 2*h, 0 = -10*z + 8*z + 2*h - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71197 + -41691. List the prime factors of m.\nAnswer: 2, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13375 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Let z(k) be the third derivative of 6*k**2 + 0*k + 2\/3*k**3 + 0 - 5\/8*k**4. Let m(g) = 60*g - 15. Let r(f) = -4*m(f) - 15*z(f). What is j(r(b))?\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 m when three letters picked without replacement from {v: 8, i: 4, m: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 42 = 3*j. Let f(s) = 13*s - 11. Let v be f(4). Suppose -118 = -3*p + v. What is the remainder when p is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -55093 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 934145.63 rounded to the nearest 100?\nAnswer: 934100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*m**3 + 165*m**3 - 53*m**3)*(-4 - 2 + 2*m - 3*m) to the form s*m + k + d*m**4 + u*m**2 + n*m**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)*r)\/r)**44 assuming r is positive.\nAnswer: r**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -12*i + 14*i + 4, b = -3*i - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36288 and 35944776.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**8\/336 - f**4\/6 + 4*f**3\/3 - 3. Let m(w) be the third derivative of n(w). Find the first derivative of m(a) wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 40 = -2*w - 16*j, -2*w = -j - 16. What is the biggest value in w, 0, -0.1, 3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5 - 2070*t**4 - 2080*t**3 + 2070*t**2 + 2075*t = 0 for t.\nAnswer: -1, 0, 1, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 11*c**2 - 12*c - 13. Let x(t) = -2*t - 42. Let j be x(-21). Suppose -3*k - 6*r = -r + 30, j = -r. Give w(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -373621*d**2*h**2 - 2*d**2*h + d**2 - 6534*d - 7*h**2 wrt d.\nAnswer: -747242*h**2 - 4*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 > -1\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 847*n**2 - 28*n + 64. What is w(0)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000010111011 + -101?\nAnswer: -100000011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + l + 4 + (-2 + 3 + 1)*(l + 0 + 0) - 2*l + l + 0*l + (-3*l + 4*l + 0*l)*(3 + 0 - 4) - 2*l + 2*l - 2*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27510 is divided by 27470?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6, -14, -36, -78, -146, -246?\n\"Answer: -o**3 - o**2 + 2*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 4, 42 in increasing order.\nAnswer: -1\/2, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-11 + (27 - -8))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**2 + 13*c - 28. Is 17 a factor of g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.114 (b) 13892 (c) 0.1 (d) -2 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.1. Let r = -1001\/1635 - -4\/327. Which is the closest to v? (a) -3 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 + 115. Suppose -y*b + 290 = -4*b + 2*l, -2*l - 568 = -4*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/3 + 5120*g\/3 + 176392\/3 = 0. Calculate g.\nAnswer: -34, 2594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 7 = -2*v - b, -4*b = -12. Let t(p) = 226 - 3*p**2 - 227 + 4*p**v - 8*p. Calculate t(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1425480 is divided by 1425220?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3 + 196*h**2 - 2300*h - 2500 = 0. Calculate h.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6317174 from 654.\nAnswer: -6316520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -5 - (-14 - 21 - 16)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 11. Sort 0.4, 0.5, c.\nAnswer: 0.4, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156650 by -65.\nAnswer: 2410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -36. What is the third smallest value in 0.1, 9, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 581 - 201. Let u = h + -276. Is u a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 52 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -845, -1267?\nAnswer: -1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 + t**2)*(-t**2 - t + t) + (21*t + 4*t + 7*t)*(5*t**3 - 5*t**3 - 2*t**3).\nAnswer: -65*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6081.562ml in litres?\nAnswer: 6.081562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 220 + -118. Suppose -152 = -2*p + m. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5317654 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 929 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + -2 + (3 - -2). Solve 2*x + x + 12 = q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, i: 3, s: 3, g: 1, w: 1, d: 2}. Give prob of sequence wdi.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9790 divided by -89\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1004 * -1\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2327486576.\nAnswer: 2, 257, 566023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*((-1)\/(-2))\/((-15)\/(-120)). Solve s*t - 12 = 0, 3*i = -t - 0 - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 575 + -571. Let h(i) = 5*i - i - t*i + 3*i. Let b(u) = 35*u**2. Determine h(b(c)).\nAnswer: 105*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -332 + 339. Suppose -x = b - 28. Let o = 1.14 - 0.14. Is b smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1578, -1570, -1562?\nAnswer: -1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -4\/5989, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/16)*g**(-20\/7)*g*g**(-7)*g**13 assuming g is positive.\nAnswer: g**(485\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -262, -4\/5, 9, -1\/6, -0.2, 13\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -85. Suppose -2*k = -6*k + x. Let m = k + 25. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y**3 + 52*y**3 + 161*y**3.\nAnswer: 239*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -499.5 - -499. Put u, -4, 6, 0.3 in decreasing order.\nAnswer: 6, 0.3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g - 9*g - 9*g + 33*g - 6*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 351708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/5 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -w + 3*w - 3*j, 0 = 3*j + 9. Suppose 379 = 3*o - o + y, w = -2*y + 6. Is o a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.43 + -1.67. Let l = n - -11. Let y = 3\/8 + 17\/8. Which is the closest to -0.1? (a) y (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.06, -2\/9 in increasing order.\nAnswer: -9, -2\/9, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2888 and -0.1.\nAnswer: 2887.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 = 17. Suppose p - c = 4*o, -p + 5 = -0*p + 4*o. Suppose -5*f + 176 = 3*z, -p*f + 3*z - 38 = -232. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 1, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/64 of a kilogram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s - 2*s**4 + 327*s**2 - 327*s**2 - 4 in the form m + w*s**3 + q*s**2 + u*s**4 + g*s and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*(-8)\/32)\/(4 - 3). Let q = -0.56 - -5.56. What is the nearest to 1\/2 in -2\/21, 0, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)*(1 + -22). Let y be 2\/((-6)\/o) - -2. Suppose 0 = 2*i + r - 66, 55 = i - y*r + 4*r. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 8:05 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/15*(-40)\/7)\/(82\/(-123))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 365177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 26*k**3 + 30*k**3 + 2.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 360082050 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4582 and 2606.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244765 (base 10) to base 11.\nAnswer: -157994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + -1 + 2 + (-1*sqrt(72))\/sqrt(4) + (-4*2*sqrt(242))**2*5.\nAnswer: 77441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, j: 1, u: 7, a: 7}. What is prob of picking 4 a?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-288)*9)\/(134\/32*-6)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4502*m**3 - 4520*m**3 - 3 + 2 + 9057*m**3.\nAnswer: 35*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 5*p**2 - 13*p - 8. Let r be x(-10). Calculate the common denominator of -115\/6 and (-3381)\/r + 0 + -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 312*b**4 + 375*b**2?\nAnswer: 7488*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**4 + 12*b**3 - 5*b**2 - 40*b - 24. Let x(n) = 21*n**4 + 48*n**3 - 18*n**2 - 159*n - 96. Let v(c) = 2*x(c) - 9*y(c). Factor v(m).\nAnswer: -3*(m - 2)*(m + 1)**2*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 25. Let s(l) be the second derivative of -l**5\/30 + l**4\/24 - l**3\/3 - 3*l. Let r(u) be the second derivative of s(u). Calculate r(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -6, 1, -31.18, -0.2?\nAnswer: -31.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81179327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 284080807 to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 0.4, 13480, -1\/9, -0.2, 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2. Suppose -18 = -10*h + 2. Let a(f) = -76 + h*f**2 + 76. Give t(a(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -1 (c) 15 (d) 2 (e) -165\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 1167665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**5\/20 + y**2\/2 - y. Let i(h) = -2*h**3 - 1. Suppose -5*u + 3 - 58 = 0, 7*r = 3*u + 12. Calculate r*i(f) - 5*q(f).\nAnswer: f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2\/4 + 961*h\/4 + 12903 = 0?\nAnswer: -51, 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 4. Let h be p(-4). Let m = -15 + h. Let o = m - -21. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -122969, -122918, -122793, -122558, -122177, -121614, -120833, -119798?\n\"Answer: 6*v**3 + v**2 + 6*v - 122982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) -4 (c) 0.182 (d) -3316 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (188\/(-17155))\/(8\/(-25)*(-220)\/176)\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2533?\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/15)*o)\/o)\/o)\/(o\/(o*(o**(1\/3)*o*o)\/o))*(o*o\/o**6*o)\/o**4 assuming o is positive.\nAnswer: o**(-98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-1\/25)))\/d)\/(d*d**6)*d\/d**(-3)*d*d**(2\/77)\/d assuming d is positive.\nAnswer: d**(-7573\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 + 67.99999981. Round k to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**9*l**(-11\/6) assuming l is positive.\nAnswer: l**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a + a**2 + 3*a**3 + 2*a - 2*a**3 + 20. What are the prime factors of i(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 4771795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 0.03, 0.2, -4, 879 in ascending order.\nAnswer: -4, 0.03, 0.2, 4\/5, 879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)*x)**(4\/15)\/(x*x*x*(x*x\/(x**(-4\/5)\/x)*x*x)\/x*x*x*x\/(x\/(x*x**(2\/17)))) assuming x is positive.\nAnswer: x**(-4572\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11543530?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 2*w**2 + w**2)*(w**2 + 3*w**2 - 2*w**2) + (2*w - 2*w - w)*(11*w**2 + 10*w**3 - 11*w**2).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5\/5 + 501*m**4\/5 + 10113*m**3\/5 + 22899*m**2\/5 - 370476*m\/5 + 67392 = 0. Calculate m.\nAnswer: -144, -15, -13, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87 in 17, -3, -6\/11, -3\/5?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 684351 divided by 7?\nAnswer: 684351\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42159 - 15152. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -33*w**3 + 5*w**2 + 22*w + 4. Suppose 3 = -16*d + 15*d. What is the units digit of g(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*v = -30, 5*h - 162 + 54 = -v. Suppose h*f = 17*f + 24. What is the second derivative of b - f*b**3 + 9 + 2 - 11 wrt b?\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 167*q**4\/3 - q**3\/6 - 123*q**2\/2 + 124*q. Find the second derivative of w(y) wrt y.\nAnswer: 1336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -415406 (base 8) to base 10\nAnswer: -137990","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzztjxt. Give prob of picking 1 k and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 5*i - 20. Let f(j) = j**2 - 3*j - 10. Let a(x) = 7*f(x) - 4*v(x). Let b be a(-5). Is (b\/20)\/((-1)\/1402) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*k + 48834 - 30*k**2 + 15*k - 9634 + 287*k + 32*k**2 = 0. Calculate k.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9) + 16\/(-6). Let o be i + (-7297 - 1) + 1. Round o to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 71 = -14*z. Solve -k = -t - 4 - 5, z*t + 3*k = -5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1117 (b) -1\/3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 7. Suppose -20 = 3*o + 5*b, 0 = o - p*b + 2*b - 16. Solve 0 = m - 5*y - 11, o = -4*y - 0 - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -28. Let r = p + 24. Suppose 0 = 7*k - r*k. Solve m = -k*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 64 = 2*q + 336, 3*p + 3*q - 204 = 0. Sort 1\/7, -0.4, p in descending order.\nAnswer: p, 1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from dkoom?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -357*d - 8*d**4 + 357*d - 60*d**2 + 43*d**4 - 200*d**3 = 0.\nAnswer: -2\/7, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -4, -6\/379, 16?\nAnswer: -6\/379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-4)\/24*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 + 88. Suppose -n + 4 - x = 0. Suppose -n*m - 150 = -17*m. Calculate the remainder when 13 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132434041 (base 5) to base 10\nAnswer: 671146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - g + 6. What is the remainder when j(3) is divided by 1\/(5\/(-75)*-3) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765707 divided by -250?\nAnswer: -765707\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7322971 rounded to the nearest 1000?\nAnswer: -7323000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1112, -2146, -3186, -4232, -5284, -6342?\n\"Answer: -3*s**2 - 1025*s - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1308*(54\/(-16) - -3). Let t = b + 480. Calculate the common denominator of -65\/9 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.0534 - -0.0534. What is the nearest to z in -6, 1\/2, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 5:09 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27861.\nAnswer: 3, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -9*a**2 + 1\/57*a**3 + 1\/190*a**5 - 1\/1140*a**6 - 1\/76*a**4 + 0 + 0*a. Factor g(c).\nAnswer: -2*(c - 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270065 + -197436.\nAnswer: 72629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65 + 22?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-23)\/(l**(-33\/7)*l))\/((l**(-9\/7)*l*l)\/(l\/l**1*l)) assuming l is positive.\nAnswer: l**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mem when three letters picked without replacement from bmhuubmlluuubleulu?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -3*o - 16. Let s be -5*(-1 + o + -4). What is the highest common divisor of s and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 c when three letters picked without replacement from bxeqcsbqcecxexbsq.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -106730000 to the nearest one million.\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -156*x**4 + 310*x**4 + 2*x**2 - 160*x**4 + x as g*x**3 + f*x**4 + u*x**2 + p*x + r and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = d - 2*v + 4, d = 2*v + 4. Is (2\/(-5) + d)*-55 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 10 = 5*w. Let k(t) = w + 5*t + t - t**2 - 3*t. Give k(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 9 = 5*u + 4*t, 5*u + 3*t - 1 = 0. Which is the closest to u? (a) 1\/7 (b) -4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuickikbbi. What is prob of sequence kib?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/3 (b) -0.3 (c) -2\/9 (d) 57 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17097 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-159)\/51 + 28\/238. Suppose -q = q - 2. Sort -4, q, z.\nAnswer: -4, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(4\/3)*n**(14\/5))\/(n**(-14))**40 assuming n is positive.\nAnswer: n**(8437\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 7*c**2 + 8*c + 11. What is x(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/3)\/((-9)\/(-18)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, r: 6}. Give prob of picking 1 s and 2 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 126\/(-28)*2\/(-3). Suppose -r*t - 4*i = -2*i - 2128, -t + i = -706. What are the prime factors of t?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1650 and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1011*s**2 - 1012*s**2 + 1 - 1.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3*m - 5*k**2*m**3 - 2*k**2*m + k**2 - 2*k*m**3 + 98218*k*m wrt k.\nAnswer: -6*k*m - 10*m**3 - 4*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 2640 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95 (base 10) to base 9.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9)*(-40)\/(-10))\/((-196)\/2205).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 45 - 0. Suppose 5*k + 4*p + 5 = -0*p, 3*p = -f. Differentiate 3*g**3 + 7 + 1 + 7*g**4 - k*g**3 wrt g.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**6\/2160 + d**5\/180 + d**4\/48 - 4*d**3\/3 + 7*d. Let k(j) be the second derivative of n(j). Factor k(t).\nAnswer: (t + 1)*(t + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5704*i + 98. What is the tens digit of s(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 23 - 221. Suppose 2*f - 5*x - 63 = 0, 2*f + x = 5*x + l. What is the remainder when 36\/(-126)*-14 - -151 is divided by f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1185 + -205. Calculate the greatest common factor of 280 and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 303\/11 (b) 3 (c) 2.4 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1647 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -7. Suppose 0 = k*t - 15, -4*l + t + 3241999 = -2637998. Round l to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2444 divided by 94?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28299946.009 + 28312142. Let i = 12209 - n. Let l = i - 12.9. What is l rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -2\/3, -10\/827?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 + 29*a - 53 + (-66 - 35 - 79)*(0*a + a + 0*a) as q + c*a and give c.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjqcnnjnnnn. Give prob of sequence qn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x = -5*h - 4, 0 = -3*x + 3*h. Let i be (5\/20)\/(1\/x). Which is the nearest to i? (a) -4 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbgg when four letters picked without replacement from gbbggggrgmgfzgg?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let x(s) = s**3 + 3*s**2 - 1. Let f be x(-1). Let h be f\/(-2)*4\/8. Which is the nearest to h? (a) t (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -868 divided by 217.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1040 - 10912\/3*v - 16\/3*v**3 - 6268\/3*v**2 = 0. Calculate v.\nAnswer: -390, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2760*b**3 + 10*b**2 - 21*b + 7. Let i be l(8). Let v = 79105661\/56 + i. Let p = v + 275\/7. Calculate the common denominator of p and 59\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*(n\/(n*n**(-2)))\/n*n)\/n**6*(n**(-2\/7))**(-2\/5))**43 assuming n is positive.\nAnswer: n**(-1333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4524)\/(-5915))\/(-87))\/(4\/14)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssgxcwxuguus. Give prob of picking 1 w and 1 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(sqrt(17) + sqrt(51)\/sqrt(3) + 1)*-5.\nAnswer: 18 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 335341, 670684, 1006027?\n\"Answer: 335343*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 20. Let m be r(0). Let y be (m\/6)\/(6\/(-9)). Solve 4*q = y*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-12)*137\/(-959)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2679)\/1786*8\/15*(-10)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000436952 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -29.7 and 2.05.\nAnswer: -27.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Suppose -v + 2 = -u. Suppose 0*y - v*y - 192000 = 0. Round y to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 19*l - 4. What are the prime factors of a(-15)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*l + 31. Let s(w) = -w**2 + 4395*w + 17. What is the remainder when l is divided by s(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 12*h**2 - 2*h + 14. Suppose 29 = 3*r - 7. Let y be k(r). Which is greater: y or -11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {l: 3, b: 8}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10429472, -20858966, -31288462, -41717960, -52147460?\nAnswer: -62576962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 276436*q - 259885?\nAnswer: 276436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + (-4)\/(4 + -6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = -x + 5*x, 0 = 2*x + 5*k - 5. Solve -a + 4*o - 17 = 0, o + x = -3*a - 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 84.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75 + -1130?\nAnswer: -11a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 353, 543, 747, 971, 1221, 1503, 1823, 2187?\n\"Answer: g**3 + g**2 + 180*g + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84.95 - 88.872. Round h to 1 dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**5\/a)*(a*a**(-10\/9)*a)\/a)**(4\/17) assuming a is positive.\nAnswer: a**(-112\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -38. Suppose -5*b - 3*l + 0 + 23 = 0, 2*l + 18 = 5*b. Suppose 5*u = d*u + b. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8854 + 88661\/10. Find the common denominator of 23\/12 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/33 + (-107331)\/4389?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18100 divided by -5?\nAnswer: -3620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 676613 or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2*t = 27 - 21, 7 = -i - 5*t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15217329111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1219562415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 16. Let a be w(-8). Let r = a - 4. Suppose 0 = 3*m + 5*z - z - 311, r*z + 77 = m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-104) + 290\/(-26) + (16 - 5).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1075)\/43 + (-71)\/(1775\/2200)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + x + 0 = -9, 2*r - 5*x - 9 = 0. Factor -14\/3*j + 4\/3 - 10\/3*j**r + 8\/3*j**3.\nAnswer: 2*(j - 2)*(j + 1)*(4*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 73 = -5*k, -2*c - 3*k = 7 - 24. Suppose -22 = 5*d - 4*f - 0*f, -4*f = -4*d - c. Let t(m) = -m**2 - 2*m + 4. Calculate t(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*i - 103, 45 = i + 3*c + c. List the prime factors of i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - -3*-1*sqrt(104))\/sqrt(8).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -10.1 = 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.136457591 to five dps.\nAnswer: -0.13646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11042302 (base 5) to base 8.\nAnswer: 274501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -266.3 + 272.3. Put -1, -1\/8, -5, u in ascending order.\nAnswer: -5, -1, -1\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/18*-4)\/(3\/(-9)). Let b be (-11148)\/(-32) + 6\/k. What is the greatest common factor of 29 and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -2.6905945370601?\nAnswer: 0.3094054629399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, d: 1, g: 4, s: 1, x: 2, h: 4}. Give prob of sequence xs.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of (-4)\/((9 - (-1463)\/(-165)) + (-3254)\/24360)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v - 39. Does 9 divide k(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2009*g - g**3 - 2009*g - 72*g**2 + (-2*g**2 + 2*g**2 + 2*g**2)*(0 + 2*g + 0) + g**3 + 2*g - 2*g in the form f*g + r*g**2 + b + s*g**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 3779340?\nAnswer: 3779340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2494236.4922 + -2493807.49220326. Let u = q + -429. What is u rounded to seven dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (150 - (-12 - -4)) + (-14)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 0.5 (c) -43 (d) -395\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60)\/14)\/((-400)\/91000). Calculate the greatest common factor of f and 525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104033143 (base 5) to base 16.\nAnswer: 6f2ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/(-4*3\/54). Find n, given that 2*n**2 - 4*n**j + 6*n**2 - 8*n**4 + 24*n + 4*n**5 - 24*n = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*v**3 + 2 + (-3*v + 2*v**2 + 3*v)*(-5*v + 3*v + 4*v) - 14 - 27*v**3 + 14.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.3495331 to 1 decimal place.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 16096 + 16070 = -7*d, -2*d + 4 = a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:40 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-370)\/(-1036) + (-2)\/4. What is the nearest to -1\/2 in m, 3\/10, -7, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -490 - -768. Suppose 0 = 3*i + q + 34. Round i to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 765 and 1665?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000090644 rounded to six dps?\nAnswer: 0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*z = 168*z - 119*z, -4*x - x + 60 = -5*x + 4*x - 4*z for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 109 = -4*j + 362, j + f - 119 = 0. What is the remainder when j is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. What is the second derivative of -7*y - y**2 - y**2 + d*y wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1730 = 2*q, -34*q - 1725 = -4*o - 37*q. What are the prime factors of o?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 24. Let n be s(13). Differentiate 4 - n*i - 24 - 2 wrt i.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttjjrjjtjt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(28)*6)\/sqrt(4) - sqrt(77)\/((sqrt(11) + sqrt(22)\/sqrt(2))*-1))**2.\nAnswer: 1183\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/((-28)\/8)*1. Let l be ((-2)\/2)\/((-6)\/k). Is -4 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 16, g: 1, y: 1}. What is prob of sequence nn?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 484785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6841495900?\nAnswer: 2, 5, 8167, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 972, 1791, 2610?\n\"Answer: 819*w + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by 469166.\nAnswer: -117\/469166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*p + 249 + 26 = 1185 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**2\/c)\/(c*c*(((c\/(c\/(c\/(c*c\/c**(2\/9)*c))))\/c)\/c)\/c)*c**(-1)*c**(-4) assuming c is positive.\nAnswer: c**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 186402635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 105928, -5, 2\/19, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/4*-4*(-250)\/30 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t**5 - 5*t**2 - 11*t - 5. Let w(u) = -4*u**5 - 2*u**2 - 5*u - 2. Let o(s) = -2*d(s) + 5*w(s). Find the second derivative of o(g) wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 422 + -430.69. Let q = -0.002 + -0.508. Let x = q + z. Round x to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157295899*p**2*v**3*w**2 - 254*p*v**2*w**2 - 18767*p*v**2 + 2*p*v*w**2 - v**3*w**2 + v**3*w - 2*w wrt p?\nAnswer: 314591798*v**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172 + -157. Let o be k\/18 + 2\/3 + -3. Which is the nearest to 3? (a) o (b) 0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*b + 25, 4 = -b + 5*w - 17. Suppose 3*q + i = 52, 4*q - b*i = -2*i + 86. Calculate the remainder when 31 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g - 223 + 223.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16135463.\nAnswer: 313, 51551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7613*r + 16*r**2 + 8 - 31 + 7614*r.\nAnswer: 16*r**2 + r - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 22. Suppose 2*v - s = 9. Suppose v = 2*h - 11. Calculate the lowest common multiple of 2 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/3 (c) -35 (d) 46\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27.1 - -27. Which is the closest to 0? (a) -0.5 (b) k (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 = -24. Let r(m) = -4*m**3 + 1. Let d be r(-1). Suppose 9 = -o + 4*o - 2*a, -d*o - 3*a + k = 0. Solve o*t = -n - 16, -2*n + t - 12 = -6*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 23 + 6 + -2. Let k be j\/84 - 26\/(-7). Solve k*f - 3*l - 13 = 0, -3*f - 2*l = f - 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43661\/130992 - -1\/43664. Let f = 0.2 + -0.1. Let n = -0.6 + f. Sort -0.05, 2\/5, l, n in ascending order.\nAnswer: n, -0.05, l, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c - 72*c - 123*c**2 - 4*c**3 - 249 + 530 - 270 wrt c.\nAnswer: -24*c - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -33*p**6\/260 - 5*p**5\/13 - 17*p**4\/39 - 8*p**3\/39 + 4*p**2. Factor i(f).\nAnswer: -2*(3*f + 2)**2*(11*f + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4519*q - 22420. Give r(-5).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from xeetbbxebxbxebexe.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11109181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, -17, 0.051, -0.65?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 2:42 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13 and 1.6427941309.\nAnswer: -11.3572058691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1929991 and 881930.\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1326 - 429 - 525)*(-l + 2*l + 4*l) in the form o + r*l and give r.\nAnswer: 1860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 2*r.\nAnswer: -2*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 10143\/524?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 17*l**3 - 3*l**2 - 1. Calculate the remainder when r(5) is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*p - 3*p + 0 - 2 + 0 wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l = 70 - 124 - 506 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833024 (base 10) in base 2?\nAnswer: 110111111100001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -0.5, -1, 5\/34, -1076?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21304267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -9*z**4\/4 + 11*z**3\/3 + z**2 + 105*z - 109. What is the second derivative of v(i) wrt i?\nAnswer: -54*i + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 174.768 and 0.1?\nAnswer: 174.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2 - 4 - 0) + (-13 - 21) + 6.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1829 times 22\nAnswer: 40238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 1421 (b) 1\/4 (c) 1\/3 (d) 0.5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, w: 1, e: 3, t: 4, p: 5, c: 1}. Give prob of picking 1 e, 2 p, and 1 z.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 13671 + 29320 - 697 = 1019*t for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - r - 2*r)*(-2 - 1 + 4) + 1 - 1 - 4*r + (-1 + 1 - r)*(-1 - 1 + 1) - 3*r - r + 2*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 1 - 1)*(3*g**4 + 0*g**4 - 2*g**4 + (0*g**3 + 0*g**3 + 4*g**3)*(4*g - 5 + 5)).\nAnswer: -17*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -546\/1140049 or -1?\nAnswer: -546\/1140049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34\/7? (a) -1\/2 (b) -9 (c) -97 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -61*f - 1950. Calculate the remainder when g(-35) is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**6\/24 - x**4\/12 - 4*x**2. What is the second derivative of h(n) wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) -2 (c) 0.4 (d) -6633859\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11038044 divided by 12?\nAnswer: 919837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 4\/3, -4.953?\nAnswer: -4.953","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1. Let t(i) be the first derivative of -i**3\/6 + i**2 - 3*i - 4. Let v(h) be the first derivative of t(h). Determine -2*o(m) + v(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 26.453 and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 2, v: 1}. What is prob of picking 2 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*m - 106 + 51*m + 106.\nAnswer: 202*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -102. Solve 0*d + 5*d + 5 = i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(52\/(-48) - -4 - 3). Solve -2*n - j = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18549111 and 228.\nAnswer: 74196444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2*b)**(-6\/13)*(b**(1\/3)*b)\/b**(-1\/26) assuming b is positive.\nAnswer: b**(-1\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238500?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -648.4 (b) 0.0721 (c) 0 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*m = -0 + 9, -2*j = -m + 9. Let u = -9 - j. Let s be (-1)\/3*u\/14. Which is the third smallest value? (a) s (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 2 + 0*z - 3 + 0*z. Calculate the remainder when 37 is divided by r(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 66*c - 295. Calculate the greatest common factor of 65 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79456.3 litres?\nAnswer: 79456300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 329 - 76. Let w(f) = -7*f**2 + 9*f + 4*f + 4*f + 2 + 15*f**2. Let k be w(-3). What is the highest common divisor of a and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73418.\nAnswer: 2, 36709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 + 42*o**2 - 13*o - 523. Is x(-29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3564\/10)\/((-63)\/((-92610)\/28)) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155814761?\nAnswer: 1367, 113983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16))\/(4\/(960\/(-35)))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 448430552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*q + 2208 = 351*q - 2825 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 25. Let o(v) = -3*v**2 - 103. Calculate -9*m(b) + 2*o(b).\nAnswer: 3*b**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91 + m + 179 - 2)*(3*m - m - m)*(-m - 4*m + 6*m).\nAnswer: m**3 + 86*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 + 1763*t**2 + 6*t**3 + 380 - 1763*t**2 in the form f*t**4 + v*t**3 + r*t + u*t**2 + c and give c.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -81485586*l. Let r(g) = 2*g. What is r(d(x))?\nAnswer: -162971172*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -264 + 277?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.055 - -0.054965. Round n to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197 + -194. Suppose n - 2*n = -6. Differentiate 14 - 11*a**b - 1 + 8 - n with respect to a.\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(1 - 1 + z)*(-7332 + 14263 - 7721)*(z + 3*z - 2*z).\nAnswer: 3160*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32425432*a**4 - 118411798 wrt a.\nAnswer: -129701728*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 11:40 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (286\/33)\/(8645\/59850).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 276*d**2 + 18157*d - 19 + 186*d**3 - 69*d**3 + 5*d**4 + 10*d**4 - 17977*d - 29 = 0.\nAnswer: -4, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6220 + 10550. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 3*t - 3 - 4*t**3 + 0*t**3 as f*t**3 + v*t + g + u*t**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1504 and 46735484.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -1780260\/89?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 554002 - 369\nAnswer: 553633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/78 and 26\/61?\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/12 and 29\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/2012 and -37\/115184?\nAnswer: 57937552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 2*z + 4*z)*(-2*z + 2*z - 2*z)*(37 + 37 - 75 + 42*z**2 - z).\nAnswer: 84*z**4 - 2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-5))\/b**(-4\/3)*(b**0\/b)**(-36)*(b**(1\/10)\/b)\/b*((b**9*b)\/b)\/b*(b*b\/((b*b**(-2\/5))\/b))**(16\/9) assuming b is positive.\nAnswer: b**(537\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 264825.\nAnswer: 1853775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(8\/(-12)) + 2. Suppose 0 = 3*d + l*u + 25, 4*u = -d - 4*d - 20. Is d > 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + z**3 + 2*z**3)*(5*z - 3*z**2 - 5*z) - z - 2*z**5 + 2 - 2.\nAnswer: -5*z**5 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823167 is divided by 205784.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -84*y + 706. Let t be s(8). Solve -10 = -32*b + t*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from idaiaibdaaibabadxa.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 7*z - 14284. Let v = z + 35627\/10. Find the common denominator of v and -77\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 4*l**2 - l + 1. Is t(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*n + 192 + 87*n - 53*n - 192 in the form g + i*n and give i.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -849 + 957. What is the remainder when 2050 is divided by q?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2848 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290481 and 6411.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**5\/25 - 7*u**4\/20 - 4*u**3\/5 + 2*u**2\/5 + 16*u\/5 - 220. Factor w(p).\nAnswer: -(p - 1)*(p + 2)**2*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (19\/(-38))\/(2\/(-212)). Let x = j + -46. Solve q - 5*q - i - 7 = 0, -2*q + 3*i - x = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4 - 2. Suppose -b - 2 = 5*o, -3*o - 20 = 4*b + 5. Let s = b - -11. What is the remainder when s is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 = 0, -2*x + 36 = -3*y + 7. Is 751*(3 + y\/((-28)\/(-8))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 76*s - 200. Let i be b(-73). Let j(m) be the first derivative of -1\/2*m**2 + 0*m + i + 1\/9*m**3. Factor j(u).\nAnswer: u*(u - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/21, 1188, -0.1?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 21*d**2 + 58*d + 346. What is y(-6)?\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(13) + (sqrt(65) + sqrt(65)*4)\/sqrt(5) + 4*(sqrt(13)*3 + sqrt(13)))**2.\nAnswer: -176*sqrt(13) + 6308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)\/q**(-2\/9))**7 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3055 + 17011. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1367*b - 163982. Determine n(120).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704 and 16928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.1 + 8.52. What is i rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71.023171 - 0.054171. Let z = 8.465 - -62.535. Let w = d - z. Round w to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-15)\/v**8)\/((v*v**(1\/9)*v)\/((v*v**(-1\/9))\/v)) assuming v is positive.\nAnswer: v**(-227\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k**2 - 8*k + 3. Let t(o) = -9*o**2 + 7*o - 2. Give 6*a(p) + 7*t(p).\nAnswer: -3*p**2 + p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 7)*(13 - q**4 + 61*q**3 - 61*q**3)*(-8*q + 8*q - 16*q + (-2 + 2*q + 2)*(-2 - 4 + 2)).\nAnswer: 120*q**5 - 1560*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 20*o - 4*o)*(-o + 2*o + o).\nAnswer: -46*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-4) + 7\/((-336)\/10956). Let g = -222 - s. Solve y = -g*r + r + 23, -2*r - 4 = -4*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 58*w - w**2 - 58*w. Let y(t) = -72*t. Give y(q(s)).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 770962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 18*m**2 + 3*m + 57. Calculate n(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from nnzfs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x + 2. Let t be (-24)\/6*(-1)\/2. Let q(p) = -p + 1. Let m(b) = 2*b + 3. Let a(f) = -m(f) + 2*q(f). Calculate t*n(k) + 3*a(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6691971 and 2299?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*p**3 - 169*p**3 - 108*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 154\/180 + (-24)\/60. Let k = d + -1\/90. Let w = -1.527 + 1.127. What is the second smallest value in -29, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 12*r**2 - 16*r + 8. Let y be h(-12). Let u = y - 125. Calculate the remainder when u is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.049, 2, 2\/7, -4, 2\/51?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n = -100 - 32 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 113092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/17 + 7196560*s - 244683048\/17 = 0.\nAnswer: -61170762, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.92 - 1.88. Let b = -0.637 + 0.537. Put -1, 1\/3, b, r in increasing order.\nAnswer: -1, b, r, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/74 and -95\/14.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.76 - 0.24. Let p = 4 - w. Let z = 16 - p. Which is the biggest value? (a) -1 (b) z (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b - 3. Let g(k) = 5*k + 4. Let u(a) = -3*g(a) - 4*t(a). Let h be u(5). What is the third derivative of 20*s**2 - 21*s**2 - 3*s**5 - s**h wrt s?\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 9:46 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1936028?\nAnswer: 2, 17, 71, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 36 + 148*a - 1187*a - 938*a.\nAnswer: -1977*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 121027495, 121027493, 121027489, 121027483?\n\"Answer: -b**2 + b + 121027495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 7. Let x be m(6). Let k be x\/2*-6*27. Let r = -5 + 14. What is the highest common factor of r and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.2. Suppose 3*m - 3*g + 4 = 8*m, 5 = m + 2*g. Let y be ((-9)\/7 - m)*-1. Put k, 3, y in descending order.\nAnswer: 3, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341334, -1365336, -3072006, -5461344?\nAnswer: -8533350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 785\/3 + -25057\/96. Let o = -37\/32 + n. Which is greater: -5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40272625?\nAnswer: 5, 199, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -69651968 divided by 14848?\nAnswer: -4691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 3430.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, k: 3, n: 3, d: 3}. Give prob of picking 1 n, 1 d, and 2 x.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuu. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 968215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**2\/2 + 8*k + 2. Let q be i(6). What are the prime factors of (-12)\/(-5) + q\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7518, 7602, 7686, 7770?\n\"Answer: 84*y + 7434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -16*g**4 - 3*g**3 + 3*g**2 + 10. Let r(z) = z**4 + z**3 - z**2 - 1. Let y(t) = -2*o(t) - 6*r(t). Differentiate y(x) wrt x.\nAnswer: 104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1723*q**3 + 1720*q**3 - 7218*q**3 + 3779*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*o + 307*o + 24054 = -155*o for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 divided by 4?\nAnswer: -193\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -176\/272979?\nAnswer: -176\/272979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -88?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2 + z - 10. Let g be a(-5). Let u = g + 156. Are u and 16 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3983 + 0*h - 2*h + 3880.\nAnswer: -2*h - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-14 - 1136\/(-80))*(9\/14 + -1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1257 - -1265. Solve -2*h - 10 = s*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.907 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(78)\/sqrt(24) - sqrt(13))*1)**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/288 and 101\/2556?\nAnswer: 20448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8268, -8241, -8222, -8211, -8208?\n\"Answer: -4*g**2 + 39*g - 8303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*y = -113*y + 66. Let u = 26 + -15. Let s = u - y. What is the second smallest value in s, -1\/17, -0.5?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 89390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f - 3. Let p(h) = -h + 5. Let l(i) = -7*i + 18. Let m(w) = l(w) - 4*p(w). Let u(z) = 2*m(z) - 2*n(z). Let v(r) = 9*r. Determine v(u(y)).\nAnswer: -270*y + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29344 and 92486?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254, -268, -298, -350, -430, -544, -698?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 4*i - 3*i)*(-6286 + 6286 - 350*i) - 3*i**2 - i**2 + 3*i**2 to k*i + l + f*i**2 and give f.\nAnswer: 1399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40\/9 - 226\/63. Suppose 12 = 2*t + 4. Suppose -2 = 5*l - 3*w, l - 2*w = -l - t. Which is greater: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -24, 18, -2 in increasing order.\nAnswer: -24, -8, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j + 2*j - j - 6*j + 10. Let h be t(5). Solve 4*g + h = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -959410045 divided by -697.\nAnswer: 1376485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(3))\/sqrt(8)*-1.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 497\/15 - 2\/15. Let r = 34 - a. Let u(v) = -v - 1. What is u(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 4)*(3*x + 5 - 5) + (4 - 1 - 6)*(3*x - 2*x - 2*x) as u + m*x and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136954 is divided by 404.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -736*g**3 - 612*g**2 - g + 6538086?\nAnswer: -2208*g**2 - 1224*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 3*n**2 + 3*n + 3. Calculate w(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152932384 divided by 4779137?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2255*i = -2303*i + 4518*i - 2080 for i.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*o + 5*o - 15*o)*(-7*o - 2*o - 11*o) - o**2 - 4*o**2 + o**2.\nAnswer: 476*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and -612536.\nAnswer: -42877.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874059 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*g**3 + 39*g**2 - 2237?\nAnswer: -39*g**2 + 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 6*j**2 + 4*j - 28. Determine k(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*z - 57*z + 638 = 0. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155505319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c - 2610 = 330. Is c not equal to -135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3449 - 369 = 4*a. Is a a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-109)\/((-9265)\/3026)*(-2)\/((-4)\/(-5))\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1742 + 0.0542. Which is the third smallest value? (a) n (b) 3\/8 (c) -2\/17 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-27)*(-2)\/(-4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s**(4\/7)\/s))\/(s**(-4)*s))**(1\/29)\/((s\/(s\/s**6))\/s*s\/((s\/((s\/(s*s*s\/s**(3\/2)))\/s))\/s))**(-2\/71) assuming s is positive.\nAnswer: s**(4525\/14413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1048 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85413 divided by 2591.\nAnswer: -85413\/2591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1693*t + 409 - 409 + 1784*t + 603*t.\nAnswer: 4080*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 - (-35)\/(-5)) + (-40)\/16)*2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*y - 14. Let x = y - -8. Let h(l) = 10*l**3 - 3*l**3 + 3*l**2 - 5*l**2 + 3*l**x. Determine h(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 10*h - 2288 = 0. Calculate the highest common factor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 446701241 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -445 + 449. Solve -h*d - 5 = 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**2 - 5271368*t - 1736707536964 = 0. Calculate t.\nAnswer: -658921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.6 + -1.8. Let u = j - -0.2. Let w = u - 4.4. Round w to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/33 and -4634*(-3)\/5508 + 20\/(-8)?\nAnswer: 5049","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002726 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 + 2*k**2 - 2*k. Let s(u) = 35336*u**2 + 7*u - u - 35343*u**2 + 9*u**3. What is 7*m(a) + 2*s(a)?\nAnswer: -3*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 40*u - 1160. Calculate c(29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3814.\nAnswer: 2, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 6*w + 4 + 5 - 9 - 2. Suppose p - 2*s = -4*p - 28, 8 = 2*s. What is k(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 210 + -198. Does 5 divide -4*((-405)\/w)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*t - 55, t + 54 = -11*k + 143. Let w(m) = 13*m - 2 - 2*m**2 + m**2 - 2*m. Give w(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.644? (a) 3\/7 (b) -2 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387 - 1210 = 183*f - 133 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14210 + -51090. What is g rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 4\/4*1. Sort m, 1, 0.4 in increasing order.\nAnswer: 0.4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 + 5.2. Which is the second biggest value? (a) l (b) -0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991 is divided by 573.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 26. Let r = z + -1. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34121, 34120, 34119, 34118?\nAnswer: 34117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*d + 40 - 54*d + 6*d**2 - 157*d**2 - 94*d**2.\nAnswer: -5*(7*d - 2)*(7*d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 96 - 2*j + 6*j + 8*j - 88 + 60. Give d(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2563*a*c*t - 3775*a*c + 2*a*t - 11*c*t - 2*c with respect to t.\nAnswer: -2563*a*c + 2*a - 11*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/4 + 73*g**4\/4 - 141*g**3\/2 + 209*g**2\/2 - 277*g\/4 + 69\/4.\nAnswer: -(g - 69)*(g - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 31. Factor 3*n**2 - 8*n**4 - 6*n**3 + 26*n**4 - 15*n**j.\nAnswer: 3*n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -32. Suppose 4*z - n*g + 7*g = 11, 0 = z - 5*g - 9. Suppose 6 = 2*r - z*r, -m + 2*r + 50 = 0. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1032490.523639 + -1032491. Let m = a + 0.476. What is m rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112428.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**2 - g + 1. Let h be t(1). Suppose d - 45 = -4*y, 0*y - 2*d = h*y - 60. What is the least common multiple of y and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63824705*b**2 - 435292970 wrt b.\nAnswer: 127649410*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/30 + 15*l**2 - 6. Let d = 39 - 27. Let t(k) = d - 12 - 3*k - 4*k. Determine t(x(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**5\/30 - n**4\/12 - n**3\/6 - 3*n**2 - 4*n. Let q(r) = 6*r**2 + 7*r + 3. Calculate -14*b(z) - 4*q(z).\nAnswer: 4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4*o + 110 = -39, n + 2*o + o = 88 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 21. Let w be l(-9). Suppose 0 = -o + 2*d - 2 - w, 3*d - 13 = -4*o. What is the lowest common multiple of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.23165356 - -0.23152. Round x to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5*l*l**(3\/2))**(-5))**(4\/7) assuming l is positive.\nAnswer: l**(-150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3a0b3f - -5?\nAnswer: 3a0b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4020*v - 2 + 3 - 4023*v - 7 + 4. Let u be (2\/(-4))\/((7 - 2)\/(-30)). What is y(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2*k - 1. Let y be 0 + 0 - (-27)\/9. Give i(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3, -3, 40, -5 in increasing order.\nAnswer: -5, -3, 0.2, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2025 + -202?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdq when three letters picked without replacement from obqdbta?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 22. Let i be (-45)\/(-75) + (-96)\/10. Let r be u(i). Solve -25 = -0*y + r*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y - 6. Let v be ((-12)\/10)\/((-6)\/20). Let x be m(v). Let c(l) = 6*l + 4*l**2 - x*l. Let n(r) = -2*r. Determine n(c(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {s: 1, p: 1, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (13 - (6 - (1 - 0))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 117501*y**3 + 104*y**2 - 134171550?\nAnswer: 352503*y**2 + 208*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(5070\/1209)*-5?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*t - 208 = -86*t + 68*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -182, -160, -124, -74, -10, 68?\n\"Answer: 7*k**2 + k - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 5257.\nAnswer: 346962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5901*p - 18026*p = -751750 for p.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-188)\/(-8) + -3. Let s = 27 + m. Determine j, given that -1\/2*j + 0 + 1\/4*j**4 - 1\/4*j**2 + s*j**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/5 + (-17)\/5. Suppose -3*t + 102 = 66. Let v be 50\/120 + (-3)\/t. Sort s, v, -11, 0.2 in increasing order.\nAnswer: -11, s, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1700) + 0)**2 - -2*(sqrt(17) + 1)*-3.\nAnswer: -106*sqrt(17) + 1719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r**2 + 2*r - 1. Suppose 5*g + 15 = 10. Let f(q) = q**2. Let v(t) = g*m(t) - 2*f(t). Suppose 0 = -4*z + 3 + 1. Calculate v(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*w**5\/7 + 1299048*w**4\/7 - 7470476*w**3\/7 + 4384972*w**2\/7 + 2598444*w\/7 - 812020\/7 = 0. Calculate w.\nAnswer: -40601, -1\/2, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18978414 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 31 - 3) + -21 + 9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 7, -4, -23 in descending order.\nAnswer: 10, 7, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/5, 3\/2, 4, -1403, 0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*x + 0*x - x + 2)*(-3*x - x + 15*x) to the form z*x**2 + v + i*x and give z.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 24901*q - 497952. Give p(20).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.058 minus 579889?\nAnswer: -579889.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u - 8 = 0. Suppose n - 6 = 8. Let s be (-10)\/(-15)*(-9)\/(-2). Solve f - n = 4*i, -5*f - s*i = -u + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**3*w*w**(1\/15))\/(w**(-1\/25)*w**(-2\/15)) assuming w is positive.\nAnswer: w**(156\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*y - 123836, -y = 2*c + 4783 - 35742. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17492 is divided by 17481.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 5*k + 10. Let v be i(-8). Let w = -172\/5 + v. Is 2\/3 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1354*v**3 - 2*v**2 + v. Let n be j(1). Suppose -3*u - 6*c + 3*c + n = 0, -2239 = -5*u + 3*c. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/((-16)\/13488). Round x to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31770 and 1351050?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -c - 4, 3*c - 4*y + 2 + 14 = 0. Let k = 9 - 17. Let l = 18 + k. Solve -3*j = t - l, c*t + 6 = j + t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0002 - -613\nAnswer: 612.9998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5117.95 and -1.63944452.\nAnswer: -5119.58944452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 86*f - 84*f. Let a = 62 - f. Suppose a*h = 2*h + 11192. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a38 (base 15) to base 12.\nAnswer: 2a652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 - 57*w - 1065. Determine k(-34).\nAnswer: -1439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 76?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 7*w**2 + 10*w + 30. Let u be j(-6). Suppose q - 2 = -c, c = u - 7. Solve -2*f + 3 = -q*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 9 - 3*p**2 - p - 9 - 17.\nAnswer: -3*p**2 + p - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 331999668 a multiple of 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(60\/20 - (-408)\/(-135)). What is the greatest common divisor of 1152 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -60.7308.\nAnswer: -24.29232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eze when three letters picked without replacement from {z: 3, d: 2, g: 2, e: 6, j: 1, q: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132185, -263707, -395231, -526757, -658285, -789815?\nAnswer: -921347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -732 divided by 366.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31000 and 45632.\nAnswer: 5704000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - j)*(-2*j**3 - 2*j**3 + 5*j**3) - 2*j**4 - j**4 + j**4 + (2 - 2 + 3*j**2)*(-7*j + 7*j + 4*j**2).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 483, 1230, 2437, 4332, 7143, 11098, 16425, 23352?\n\"Answer: 38*c**3 + 2*c**2 + 475*c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 7*c**2 + c**2)*(4*c**2 - 5*c**2 + 4*c**2) + 2*c**4 - 2*c**4 - c**4.\nAnswer: 17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1108*v**2 + v + 112?\nAnswer: 2216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 43*f + 513. Let d be b(-13). Sort -8, d, -4 in decreasing order.\nAnswer: -4, -8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/44 + (-1734)\/22. Let m = 133 + h. Suppose 58*q - m*q - 404 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22000101221 (base 3) in base 16?\nAnswer: -2683f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {s: 9, g: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/10185 and 29\/8730?\nAnswer: 61110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -0.11263867.\nAnswer: -2, -0.11263867, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f**(5\/3)*f)\/f*f))\/f**(-32))\/((f\/f**3)\/f**(-17)))**(-40) assuming f is positive.\nAnswer: f**(-1840\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 141, 146, 149, 150?\n\"Answer: -n**2 + 8*n + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 0.01.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-144))\/(2\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + m**2 + 19686*m + 19686. Give b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 103?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d + 2. Let n(z) = 4*z + 2. Let r(h) = 2*m(h) - 3*n(h). Let j be r(-5). Suppose v - 20 = -4*v. What is the highest common divisor of j and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 3 + (-1 - 1). Suppose -o = -5*h + 31, -3*o = i*h + 6 + 2. Let t = o - -23. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = 34*x + 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5 + 5 + f + 1. Let d(q) = q**2 + q + 3. Let c be (-14)\/(-12) - 15\/90. What is c*d(r) - 3*b(r)?\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5 = -2*r, a + 17 = -0*a - 5*r. Suppose -o + 1624 = a*o. Let z = o + -243. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 11:43 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 7*b**2\/2 + 4*b + 8. What is the remainder when h(7) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**4)\/j)\/(j*j**(-9))*(j*j**6)\/((j*j**(-2\/17)\/j*j)\/j))\/((j**(-1\/4))**(-44)\/(j**(1\/6)*j\/j**1)) assuming j is positive.\nAnswer: j**(845\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-1*sqrt(170)*2 - sqrt(170)*-2*2))\/((1*sqrt(120)*3 - sqrt(120))\/((sqrt(192)\/sqrt(4))\/sqrt(4))) + 1)**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 - 2.8. Let h = 4.4 - n. Which is the nearest to 0.03? (a) -0.1 (b) h (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -v - 0*v. Suppose 2*r + v = 4*r. Solve -5*m - 1 = r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15090 and 1918945?\nAnswer: 11513670","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 49.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17.5? (a) -2\/3 (b) -2\/11 (c) -4\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (428\/(-2))\/(1\/1). Let w be -712*(2 - 3)\/2. Let n = r + w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 + 0.05. Let d = 0.56 - g. Let h = -167\/3 - -55. Put h, 2, d in decreasing order.\nAnswer: 2, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.34 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*f + 16*f - 11*f)*(f + 0 + 0) + 4*f**2 + 4*f**2 - 6*f**2.\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*h + 28, -6*h + 4*x - 46 = -h. Let r be 4 + 33\/h + 4. Let w = -0.2 - 3.8. Sort r, w, -2 in increasing order.\nAnswer: w, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 697.99212s to weeks.\nAnswer: 0.0011540875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 654*a*b**2 + 430*b**2 wrt a.\nAnswer: 654*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s*s**(-1\/2)*s)\/s)\/s*s)\/s*s*s)**5\/(s**(-5)\/s*s**(-7)) assuming s is positive.\nAnswer: s**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -109*b**6 + 41*b**5 - b**3 - 527*b**2 - 119*b wrt b?\nAnswer: -13080*b**3 + 2460*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37891, -75537, -113183, -150829, -188475?\nAnswer: -226121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440520?\nAnswer: 2, 3, 5, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 106268708*v + 212537400.\nAnswer: 4*(v - 26567175)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 29\/(-290) - (4\/120*303)\/(-1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*w + 4*d + 32 = 450*w, -3*w + 5*d + 34 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 2*d + 15. Suppose 4*v = 5*o + 52 + 4, -v + d*o + 21 = 0. Suppose 0 = v*c - 14*c. Is -0.2 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -876.14499 to the nearest 10.\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 130*h + 1582. Give v(-13).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 + 49*x - 10. Let c(s) = 4*s**2 + 47*s - 12. What is 5*c(i) - 6*o(i)?\nAnswer: 2*i**2 - 59*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((392\/(-105))\/14)\/(20\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeememsm. What is prob of sequence sme?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.839918 years in centuries?\nAnswer: 0.04839918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**9\/12096 + r**8\/2240 + r**7\/1680 + 22*r**3 + 5. Let f(h) be the third derivative of x(h). Factor f(u).\nAnswer: u**3*(u + 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -g - 4*d + 5*d, 12 = -4*g - 4*d. Suppose -g*c - f = 3*c - 10, 5*c - 10 = f. Let s(z) = -z - 6. Let o be s(-6). Solve a - c*a + 1 = o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 + 2470*n - 305045 = 0. What is n?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1203524881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 211 (b) 2\/5 (c) 0.106 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 48449 - 24451 = 0. Let b = f - 33737. What is the tens digit of b\/(-210) - 4\/(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 22*m**3 + 6*m + 6. Let w(p) = -43 + 68*p**3 - p**3 + 30 + 30 + 17*p. Determine -17*l(n) + 6*w(n).\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - o - 3. Suppose -i - 2 = -5*r, 3*r - 2*i + 3*i + 2 = 0. Let a be 3 + 3\/(r + -3). Let y be t(a). Is -1 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49192 is divided by 1171.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, and 1 o when three letters picked without replacement from {a: 6, y: 4, m: 1, o: 2}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110139*c**3 + 5*c**2 - c - 272830415 wrt c.\nAnswer: -330417*c**2 + 10*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87575 is divided by 21886?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8135.89 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y**3 - 21*y + 2. Let b(j) = 93*j**3 - 31*j - 163*j**3 + 3 + 64*j**3. What is -5*b(u) + 7*w(u)?\nAnswer: 2*u**3 + 8*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-343)\/35 + 11)\/(-3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4\/2 - 1283*p**3\/2 - 80289*p**2\/2 - 1367037*p\/2 - 2493855 = 0.\nAnswer: -1218, -39, -21, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700, 1249, 2726, 5593, 10312, 17345, 27154?\nAnswer: 40201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 878181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 73, 77, 83, 91, 101, 113, 127?\n\"Answer: u**2 + u + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 0*h - 1\/40*h**6 - 1\/70*h**7 - 3*h**2 + 1\/112*h**8 + 0*h**4 + 0*h**3 + 1\/20*h**5 + 0. Factor w(d).\nAnswer: 3*d**2*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72237 is divided by 17873?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.045 + 2.145. What is the biggest value in -26\/11, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 539.4 + -540.2638. Let u = 0.0638 + b. What is the nearest to -0.4 in 5, u, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 4. Let l = f + 14. Which is the nearest to l? (a) 2 (b) -1\/4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/5 + 21496*g\/5 + 102720.\nAnswer: 4*(g + 24)*(g + 5350)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -357 or -356?\nAnswer: -357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -643 - -0.37\nAnswer: -642.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*o - 48 = 0, -4*r - 2*o + 46 = -0*r. Suppose -96 - 40 = -68*f. Calculate the remainder when r is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/46)\/p**(-3\/25)*(p**(-17))**(7\/9) assuming p is positive.\nAnswer: p**(-135833\/10350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*r**2*t**3 + 115*r**2*t - 42*r*t**5 - 20*r + 4*t wrt t.\nAnswer: -192*r**2*t - 840*r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 3*y + 0*y)*(2 + 6 - 4)*(7*y + 6*y - 7*y + (-y - 3*y + 6*y)*(-1 + 0 + 4)) to t*y + p + c*y**2 and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.22475976 and -3304.75?\nAnswer: 3303.52524024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 6) to base 14\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 2*p - 10, 172*p = 170*p - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3149\/3, 0.083, 10, 2.\nAnswer: -3149\/3, 0.083, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 6*a**2 + 4*a + 1. Let h be l(-5). Let m(j) = -4 + 1 + 3*j - 6. What is the units digit of m(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*x = 5, 2*x - 5 = -5*q + 13. Let c(z) = 8387*z + 58709. Let y be c(-7). Factor 0 - 2\/7*h**q + 0*h**2 + 4\/7*h**3 - 2\/7*h**5 + y*h.\nAnswer: -2*h**3*(h - 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 + 10*m**3 - 53423 - 31*m - 11*m**3 - 11*m**2.\nAnswer: -m**3 - 31*m - 53423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b - 12. Suppose -2*p = o + 7, 0 = 3*o - p + b + 25. Let h = -1 - o. Calculate the greatest common divisor of 16 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/4 + -3 - (0 - 6))*(-1)\/18.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g + l = -30, 3*g - l = 18. Suppose 0 = g*d - d - 15. Solve 0 = -d*n - 4*w - 5, 3*w - 3 = 4*n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 1, r: 1, t: 5}. What is prob of picking 1 r, 1 t, and 1 b?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0540722654 to three decimal places.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22753 * -110.8\nAnswer: 2521032.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) - 1666\/(-28). Let k = -24 + 46. Suppose a = 26*r - k*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7941461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 306 - 307. Sort g, 3, 2.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z*z*z**(-29)\/z)\/(z*z*z**(2\/65))**(7\/4) assuming z is positive.\nAnswer: z**(-2376\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*j + 2*s + 50, 4*j = 5*s + 49. Calculate the remainder when 56 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/11 - 17568*j\/11 + 70240\/11 = 0.\nAnswer: 4, 8780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*h + 36 = 0, -5*h + 3 = -f - h. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 - -534?\nAnswer: 530.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 2:38 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 14*b = 4. Suppose -786 = -5*o - k, 0*o - 3*o + 466 = b*k. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58b2c - 293?\nAnswer: -590c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 + 96. What is the remainder when (5\/(-3))\/((-2)\/6) is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**3\/3 - 144. Let f(j) = -119*j + 2. Let a(w) = 59*w - 1. Let x(p) = 7*a(p) + 4*f(p). What is x(d(z))?\nAnswer: -63*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 0.1. Let a be 10 - (24\/(-4) + 3). Suppose -3*q - j - 1 = 0, -34 + a = -5*q + 4*j. What is the closest to y in -2\/5, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 54463*y.\nAnswer: -y*(y + 54463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from gfgffffgffffgg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 less than or equal to -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3122405 (base 7) to base 14\nAnswer: 9ab75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 - 6*z + 4. Give a(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133665 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (0 - (-9 + -1))\/1 and 21\/(-18*(-10)\/240).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -137, -143, -163, -203, -269, -367, -503?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - 92.7. Let n = 2474\/7 - 354. What is the closest to 2\/3 in 3, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/(-40))\/(2\/40). Let p(a) = -8*a + 16. Let c be p(n). List the prime factors of 1\/(-1)*1 - c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-40) + (-8)\/(-10))*16. Let d be p\/10 - -5 - 7. Let n = 0.02 - 0.32. Which is the nearest to -1\/7? (a) n (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -705, -1410, -2107, -2790, -3453, -4090?\nAnswer: -4695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74794.\nAnswer: 2, 37397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 5141*z - 2*z**3 + 5140*z - z**2 - 112 as q*z**2 + j*z + d + p*z**3 and give d.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 o when three letters picked without replacement from woxxhw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-178))\/(((-132)\/836)\/(18\/(-228)))\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23708388 to the nearest integer?\nAnswer: 4869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfwcffcjjjmfwwjc. What is prob of picking 1 w, 2 c, and 1 j?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p. Let j(a) = a**2 - a - 7. Let v be j(7). Let m = v - 29. Give c(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 - 35*r + 31. Let z be y(17). Suppose 18*g - z*g = 16. Suppose 5*p = -5, d - 2*p + 8 - 64 = 0. Calculate the least common multiple of d and g.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 23*n**4 - 60*n**3 - 107*n**2 + 202*n - 58. Let d(u) = 15 - 7 + u**2 + u**4 - u - 4 - 5. Let o(z) = 2*d(z) + q(z). Find g, given that o(g) = 0.\nAnswer: -2, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 336 + l**3 - 2*l - 335 + 5*l**3 - 8*l**4 to the form o*l**4 + r + z*l**2 + t*l + f*l**3 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 - 49*t**2 - 225*t - 15. Let n be x(-6). Let q(i) be the third derivative of 1\/6*i**4 + 0 + 25*i**2 - 1\/2*i**n + 0*i - 1\/20*i**5. Give q(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.230235 * -2.\nAnswer: 0.46047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15305437.5 rounded to the nearest 100000?\nAnswer: 15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 770\/8 + 6\/(-24) + -1. What is the greatest common factor of j and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3985645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z - 35. Let c be j(-7). Suppose 5*d + 3*v - 37 - 18 = c, -3*d - v = -29. Suppose s = -2*s. Solve 3*t - 5*t = 4*l + 24, -3*t + 5*l + d = s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-44)*(-72)\/117\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - 2096 = 0. Let g be ((-6)\/4)\/((-6)\/16). Suppose 0*j + g*j = x. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 17 = q. Is 13 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(5 - 34\/(-6)). Let a(p) = -p**2 + 5*p. Let f be a(4). What is the greatest common divisor of f and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**2 - 2*i**2 - 2*i**2 + 8 - 9*i**2 - 8 + (0*i + 0*i + i)*(2*i - 2*i - 2*i) as c + x*i + j*i**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -5. Let b = x + 33. What is the remainder when 5 - (-84)\/(-20) - 243\/(-15) is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 39*v**2 - 18*v + 19. Let z be n(-19). Which is the closest to 1\/6? (a) -0.4 (b) z (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 3 - 3. Suppose -2*n + 3*n = 11. Let y(p) = -17*p**2 + 18*p**2 + n*p - 11*p. What is y(w(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 0*u + 4*u**2 + (-3 + 3 + u)*(-u - u + 0*u) as m*u + p + c*u**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqxxxqxqxxq. Give prob of picking 2 x.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -20 - (-3)\/(-6)*2. Let l be k\/(-14)*(-32)\/(-3). Let s be 4*4\/l - -3. Solve -s = p - 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - 4*p**2 + 4*p - 3. Let i(c) = c**2 + 9*c + 10. Let j be i(-8). Let g be t(j). Suppose 2*w + 4*l = -8, -g*l + 5 = 5*w - 0*l. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18453 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 6:54 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41134 - 8?\nAnswer: -41143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**8\/28 + o**6\/15 + o**4\/4 - 14*o**3\/3 + 192*o. What is the third derivative of w(v) wrt v?\nAnswer: -240*v**3 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -102474.\nAnswer: 7\/51237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -419791 (base 11) to base 9.\nAnswer: -1233442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.16*1.\nAnswer: 13.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2 - -6) + -4)\/(-1). Suppose x - 2 - 22 = c. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.18112379 - -3.1812. What is g rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 687091, 1374171, 2061251?\nAnswer: 2748331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22254 - -3544. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from mfwjrmjfffrjfrrjmjrf.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppptppppppptt. Give prob of picking 1 t and 3 p.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2975.57 + 11756.356. Let s = -8663 + b. Let u = s - 118. Round u to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 2:07 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/u)**(-14)*((u\/(u\/(u*u**3)))\/u)\/u**(-3\/2))**(-7\/9) assuming u is positive.\nAnswer: u**(-455\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -207273 >= -206454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291 divided by 3.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 911\nAnswer: 182.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92160 divided by 240.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15262497 a multiple of 965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -1 + 31. What is the lowest common multiple of 24 and y?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -78*u**3 + 4116*u**2 + 19034*u + 1532. Let f(c) = 17*c**3 - 823*c**2 - 3807*c - 306. Let z(w) = 44*f(w) + 9*o(w). Factor z(l).\nAnswer: 2*(l + 9)**2*(23*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*o. Suppose -t - 1 = -2*g, 0 = t - 6*t - 5*g + 10. Solve -o*u = -4*u - t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**8\/840 - p**7\/525 - p**6\/300 + p**5\/150 + p**2 + 3*p. Let s(f) be the first derivative of g(f). Factor s(a).\nAnswer: 2*a**2*(a - 1)**2*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -3*v + 2*w, 42 = -v - 5*w + 113. What is the remainder when v is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(3)*5 + (sqrt(480) + sqrt(30))*5)\/(sqrt(10) - 3*1*sqrt(10) - -4*sqrt(10)*-2))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*r + 20*r - 93*r = -1296. What is the highest common factor of r and 657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 18*u + 31. Let x be u\/8 + 14\/8. Let i be 0 - (2 + 0) - -3. What is the nearest to -0.3 in -2\/11, i, x?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*a**2 + 326*a**2 + 312 - 310 - 44*a**6 wrt a.\nAnswer: -5280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 809, -4, 1, 4, -1\/5, 0.4, 2\/55.\nAnswer: -4, -1\/5, 2\/55, 0.4, 1, 4, 809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 + -164. Which is smaller: u or -97\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398226509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izzizzivizzzxi. What is prob of sequence ixzz?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 - 24*c + 15. Let n(q) = -q**2 - 8*q + 5. Let x(z) = 7*n(z) - 2*r(z). Let j be x(-8). Let p(i) = -i**2 + 7*i - 2. Calculate p(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 566829784.\nAnswer: 2, 43, 1647761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -1 - 71. Calculate the highest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-3407.8\nAnswer: 17039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 433201 - -20?\nAnswer: 433221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11088, 44114, 99080, 175986, 274832, 395618, 538344?\n\"Answer: 10970*u**2 + 116*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 - 4*y**2 - 2*y - 3. Let b be z(-3). Let u(o) = o**2 - 196*o - 776. Let p be u(-4). Which is smaller: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*v - 3*w + 33 = -34*v, 0 = 5*v + 2*w - 32. Solve -10 = v*f - f + 5*k, -5*k - 1 = -4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -62. Suppose w*t + 11 - 31 = 0. What is the second derivative of -7*l**2 + t*l + 51*l**2 + 13*l wrt l?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1988 - 0.0988. Let p be 8\/36 + (-241)\/(-9). Suppose 0 = 28*o - p*o - 1. Sort o, d, -2 in increasing order.\nAnswer: -2, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 4*n + 8. Let w be p(6). List the prime factors of (-3528)\/(-20)*(-10)\/w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 255752 and 0.092?\nAnswer: 255751.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 22. Let r = -72 + 89. Let t be v(r). Solve -6*p = -t*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 382 - (-2 + 2). Suppose 3*o + g = 5*t, -o - 203 - 109 = -4*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -368, -407, -448, -491, -536, -583, -632?\n\"Answer: -g**2 - 36*g - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4393 + -4389. Sort w, -14, -8, 5, -4 in descending order.\nAnswer: 5, w, -4, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -24?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, i: 1, y: 2, f: 6, l: 2}. Give prob of sequence iyf.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376421878 divided by -1.\nAnswer: -376421878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 15*a + 6. Let j be f(5). Suppose -4*g + 82 = -2*v, -g - v + 16 = -6*v. Let i = j + g. Solve -i*d + 10 = -4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -3)\/(-3) - 0. Let q = m + -8. Let o(u) = -5*u - 8. Let b be o(q). Calculate the highest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-228)\/46 + 1016\/11684.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w**3\/5 - 474*w**2\/5 - 588*w + 800 = 0.\nAnswer: -25, -10, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 - u**2 + 2*u + 1. Let x be 40\/(3*3\/9). Let i be (-6)\/(-8) - x\/(-32). What is the units digit of p(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-108)*4 - (8 + 242\/(-6))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**2 - 2045*u*y + 14134*y wrt u.\nAnswer: 4*u - 2045*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Suppose -4*h + 1 = -3*g + 14, 14 = -2*h + 4*g. Let o(p) = -p + 2. Calculate h*o(w) - 2*f(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4380.5728 + 16.1128. Let j = -4425 - w. Let p = 60 + j. What is p rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l - 71*l + 14*l + 35*l + 31*l - 13*l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21579.01 - 21579. Sort 0.2, 23, 1\/8, v, -5 in descending order.\nAnswer: 23, 0.2, 1\/8, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 2 - 0\/(-2). Let k(f) be the third derivative of 0*f**3 - 1\/30*f**6 + 1\/24*f**4 + 1\/30*f**5 + 0*f + 0 - f**s. Calculate k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**3 + 297 - c**3 + 5*c**3 - 297.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 570\/228*(426\/5 + 0). Is b not equal to 214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5. Let v(f) = -f**2 + 8*f - 3. Let h(r) = r**2 - 9*r + 4. Let t(j) = 6*h(j) + 7*v(j). Let d be t(-2). Sort q, d, 5 in increasing order.\nAnswer: d, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/9 - (-50)\/(-6). Let i = c + 8. Let m(g) = 2*g**3 + 2*g**2 - 5*g + 11. Let s be m(2). Solve -5*r + i = s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11934 and 495703?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23575?\nAnswer: 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/((86\/(-2))\/(-301)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(2310\/(-10)))\/((-3)\/(-18))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -1, -6499 in ascending order.\nAnswer: -6499, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -24. Suppose 3*l = -4*j - 0*l + 1094, -o*l + 10 = 0. What is the highest common divisor of j and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11304 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(245) + 0)**2 + -1 + (sqrt(245) + (sqrt(245) - (-1*sqrt(245) + sqrt(245))) + 5)**2).\nAnswer: -1249 - 140*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1279066 + -7?\nAnswer: 1279059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*f + 3 + f**3 + 7*f**2 - 6*f**2 + 5*f**3 - 3*f**3 in the form l*f**2 + p*f**3 + m + x*f and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - k + 35. Suppose -4*i = 2*a + 36, 0*i - 30 = 4*i - a. Let b be w(i). Is (-237)\/(-9) + 7\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -5 in ascending order.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.116 + -493.6\nAnswer: -493.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000167826 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - (1*(sqrt(77) + sqrt(77)*-2) + sqrt(77))) + -3*(sqrt(77)*1 + sqrt(77)))\/(-2*sqrt(448)*-4))**2.\nAnswer: 275\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-690))\/((-18)\/(-15))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103139*f*t - 100*f + 6*t - 1509624 with respect to f.\nAnswer: -103139*t - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -2466c?\nAnswer: 24674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 1. Let l be g(-4). Suppose -4*j + 17 = l*k, -k = 2*j - 3 - 4. Sort -3, k, -4.\nAnswer: -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n = -15. Solve 3*q - x + 9 = 4*x, -x = q + n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.186 + 0.744. Let r = o - 1. Let y = r - -0.070023. Round y to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 0, 1 in decreasing order.\nAnswer: 8, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/6)\/(35\/10))\/(-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*q - 13, -41 = -4*s + 5*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + 2*m**2 - m**2)*(1 + 0 - 2) + 48*m**2 + 72*m**2 - 89*m**2 to the form n + w*m + y*m**2 and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s + 47*s + 47 = -99 - 204 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 4*m + 1079 = 0. Suppose 68*t = m*t - 1650. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -h + 4*h. Let w(c) = 2*c - 9*c + 5*c - 7. What is w(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**5\/20 - 27*t**4\/16 - 14*t**3 + 49*t**2\/2 + 43. Find x, given that y(x) = 0.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*k**3 - k - 1\/2*k**2.\nAnswer: k*(k - 2)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 31.19. Let a = -219.79 - -216.79. Put 1, a, k in decreasing order.\nAnswer: 1, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 6236304.\nAnswer: 43654128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - -2*sqrt(133) - sqrt(133)) + sqrt(133))\/sqrt(7) + sqrt(19) + (sqrt(1216) - sqrt(1216)*1)**2.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(147) - (sqrt(147) + 0)) + -3)**2*2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(4\/9))\/l)\/l)**(-11)*((l\/(l\/l**(-16)))\/l*l)**(8\/11) assuming l is positive.\nAnswer: l**(421\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z = 39*z - 2*v - 129, 3*z + 2*v - 71 = 0. Suppose 0 = 2*o + 4*u - 166, 3*u - 80 = 4*o - 401. Calculate the remainder when o is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h**5 - 1588*h**4 + 252925*h**3\/6 + 1264463*h**2\/6 + 200117*h\/3 + 5460 = 0. Calculate h.\nAnswer: -4, -1\/6, 35, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11165*x - 1 + 1 - 11167*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(3 + sqrt(405)) + sqrt(405) + 0 + (sqrt(405) - (sqrt(405) + 4*sqrt(405))))*-3)**2.\nAnswer: 1944*sqrt(5) + 4941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1329769337480.19 - -0.4.\nAnswer: -1329769337479.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 133691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 2. Let x(k) = 1196*k - 12. Calculate 6*n(z) - x(z).\nAnswer: -1202*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/17)\/h)\/h*h*h*h)\/(h*h**10)*(h*h\/(h*h\/(h*h**(6\/11)))*h)\/(h**(5\/2)\/h) assuming h is positive.\nAnswer: h**(-3327\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9\/10 of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 38.\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 156787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24926 and 1452?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**4\/2 - 5*d + 7. Differentiate c(n) wrt n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a + 8. Let g be z(-5). Let j = 68 - g. What is the remainder when j is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 14580390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Put -128, 3, -6\/11, 4\/5 in decreasing order.\nAnswer: 3, 4\/5, -6\/11, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16917 * -0.09.\nAnswer: -1522.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**19\/k*k*k**(-2\/67)\/k assuming k is positive.\nAnswer: k**(1204\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -87878, -45, 3, 2 in ascending order.\nAnswer: -87878, -45, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2ba - -227?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -47. Let n = -73 - -73.3. Let c be 0 + 1\/((-9)\/(-3)). What is the closest to i in n, -2, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 102*q**2 + 199*q - 686. Give d(-104).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**8\/84 - s**4\/12 - 2*s**2 - 4. Let y(o) be the second derivative of u(o). Find the second derivative of y(r) wrt r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-5)*p*p\/(p**(1\/25)*p))\/(p**(-23)*p\/(p*p**(1\/16)\/p*p*p)) assuming p is positive.\nAnswer: p**(8409\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0994 + -0.0993549. Round t to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + sqrt(68) + (((sqrt(119) + (3*sqrt(119) - sqrt(119)))\/sqrt(7))**2 - sqrt(17)).\nAnswer: sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**8\/336 - 2*y**7\/105 - y**6\/120 + y**5\/15 - 29*y**2. Factor p(x).\nAnswer: x**2*(x - 4)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -208, -255, -356, -529, -792?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 16. Let v be b(15). Find the second derivative of v - 1 + 56*u + 23*u**2 - 64*u wrt u.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2623 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763.7809ml to litres.\nAnswer: 0.7637809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 240 or 787061?\nAnswer: 787061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3003923 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3435, 3590, 3717, 3816, 3887, 3930, 3945?\n\"Answer: -14*t**2 + 197*t + 3252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*h**2 + 11*h**2 - 10144074 + 10144072.\nAnswer: 32*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25450 is divided by 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x**2 + 3*x + 211. Let d(z) = -2*z**2 + z - 3. Determine -5*d(t) + k(t).\nAnswer: 3*t**2 - 2*t + 226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*u**2 + 187*u - 153*u + 18*u**2 wrt u?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose -r*z + 8 = -2*u, 0*z + 2*z + 5*u - 1 = 0. Solve 9 - 1 = 4*n, 3*p + 18 = z*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + -11 - (5 + -13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -45*p + 2 + 47*p - 2 - 3. Let q(w) = -w**2 + 11*w + 16. Let u be q(12). What is y(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -32 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 2 - (-2 - (4 + -1)). Suppose z + 2 = 2*w, 10 = -n*z - 2*w - 2*w. Is z not equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 321*g**4 - 5187*g + 5187*g + (-g**3 - 4*g + 4*g)*(0*g + g + g) - 2*g**2 + 2*g**2 - 3*g**4.\nAnswer: 316*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**5\/8 - 6583*p**4\/16 - 1317*p**3\/2 + 2*p**2 + 7*p + 1. Factor t(z).\nAnswer: 3*(z - 1317)*(5*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 11*c + 51. Suppose -7 = 2*u + 1, -b = 5*u + 47. Let o be z(b). Suppose -385 - o = -7*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**3\/9 + 31306*s**2\/9 + 62572*s\/9.\nAnswer: 2*s*(s + 2)*(5*s + 15643)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3884027, -29 in ascending order.\nAnswer: -29, -0.2, 3884027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 divided by 17.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 3, -18, 6\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 17*x**2 - 63*x - 36. Give j(-6).\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d + 37. Let t be a(-7). Sort 4, t, -1, 6 in decreasing order.\nAnswer: 6, 4, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7461427*y**2 - 19996945*y.\nAnswer: 14922854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 23*h + 3*h)*(1 - 5 + 1) + 4*h + h - 4*h to j*h + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 6*f + 6. Let p be q(6). Suppose s + 5*t + 13 = 0, -p*s + 9 = -3*s - t. Suppose 3*o**4 - 7*o**4 + 0*o**4 + s*o**3 = 0. Calculate o.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 8*u + 13. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 15*s - 586. Let z = -40 - -44. Solve 2*y - z*f = 28, -2*y - 5*f = -4*y + s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 - 9) + (3 - 0). Suppose -3*k + 99 = -3*p, d*k - 5*p - 77 = -5. Let t = k + -1. What is the remainder when 118 is divided by t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5775*c + 40195. Give w(-7).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 - -3015?\nAnswer: 2533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u*u*u\/(u*u*u**(-9)*u))\/u*u*u)\/u*u)**43\/(u**(-7\/2)\/(u*u**(1\/8))) assuming u is positive.\nAnswer: u**(3821\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25562 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -934 = 20*z - 854 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 213 = -9*g. Let t = -69 - g. Solve b - t*k = k + 6, b + 18 = -5*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 7*f - 6. Let p be m(8). Suppose -2 - 19*a**3 + 21*a**3 - 2 + 10*a - 8*a**p = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1459, -2, -36, 10, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/23)*x**24)\/((x\/((x\/(x*x**(2\/5)))\/x*x))\/(x*(x**(-19)*x)\/x*x)) assuming x is positive.\nAnswer: x**(649\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 5. Let d(n) = n + 4. Let m(i) = 4*a(i) + 5*d(i). Let k be m(-18). What is the units digit of (-7042)\/(-63) + (-4)\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + sqrt(66)*-4)\/sqrt(6)*-2.\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -940\/3 + 3427\/11. Calculate the common denominator of v and 83\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3161402 - 5?\nAnswer: 3161364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 77*k**2 - 12*k - 836. Is 8 a factor of h(-78)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1)\/(-1*(-18 + 6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 8*y**2 + 8*y - 5. Let t be o(-9). Let i be ((-4)\/(-2))\/(t\/6). What is the first derivative of -2*v**i + 6*v**3 - 3*v**3 - 1 wrt v?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 945523 or 1891047\/2?\nAnswer: 1891047\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 5 - -6 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 409.5207 meters in centimeters?\nAnswer: 40952.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + -0.8. Let n be 3\/(1 - (92\/8 + -3)). What is the third biggest value in n, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -13. Let b(g) be the second derivative of g**5\/20 - g**4 + g**3\/6 - 6*g**2 - 28*g. Let a be b(12). Put a, j, 3 in ascending order.\nAnswer: j, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1368) - (sqrt(1368) - -2*sqrt(1368)))\/(-1*sqrt(72)) - (5 + 1*sqrt(1216)*2))**2.\nAnswer: 140*sqrt(19) + 3749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**5\/3 - 23*v**4\/6 + 408*v**3 - 227*v**2 - 4. Find o such that w(o) = 0.\nAnswer: -68\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + x**2 - x + 1. Let n be p(1). Let s(i) = -i**3 - 11*i**2 - 4. Let h be s(-11). Let g be 7 + 1 + 12\/h. Solve n*w + 6 = g*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -23?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**2 - 6*c**2 - 15*c**2 + 35*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1422*y**2 + 7*y + 13. Let o be r(-3). Suppose o + 9980 = 9*h. What is h rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -5)*3\/2. What is the second derivative of 0 - k - 2*x**3 - 2*x + 3 wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 1) + -9 - 7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0*j**3 + 0*j - 8*j**2 + 1\/12*j**4 + 0. Let t(x) = -3*x. What is i(t(b))?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 81\/36*(-352)\/(-3) - 0. Let p = s + -681. Let w = -289 - p. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*a + 36, 3*a + 3*r + 51 + 6 = 0. Let p = 5153\/651 - 32\/93. Calculate the common denominator of p and (0 + -74)*(-2)\/a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-1\/31)*((a*(a*a**(-2\/49))\/a*a)\/a)\/a**(-3\/13) assuming a is positive.\nAnswer: a**(758\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4770090, 4770091, 4770092, 4770093?\nAnswer: 4770094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -4\/13, 4\/5, 3\/8, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -28*r - 138. What is x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148092 is divided by 132?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 - -130. Let c(j) = -j**3 - j**2 + 14*j. Let f be c(v). Solve -h + f*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - z + 451 = 0, 0 = -5*m + 4*z + 3224 - 987. Calculate the remainder when m is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -1) + -9 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330.3984 micrometers to centimeters.\nAnswer: 0.03303984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -96 + 80 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - o + 7 = -2*o, -2*o = 2*x - 10. Suppose 0 = -x*p - 2*u + 79 - 3, -10 = -5*u. Calculate the greatest common factor of 198 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2644 is divided by 156.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41615 * 12648.\nAnswer: -526346520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4504\/9 - -497. What is the common denominator of h and 189\/20 + (-2)\/8?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320193527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1163*y + 308 = 1161*y, z - 2*y = 159. What is the remainder when 569 is divided by z?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*d - 22*d + 121 + 37*d + 15 to n + o*d and give n.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -493, -1133, -2035, -3199, -4625, -6313?\nAnswer: -8263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 659 = -2*x + 673, -x = -2*w - 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27024055 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + -22. Let i = v - -69. Calculate the highest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 856 and 157076?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6571*b + 3287*b + 3321*b = -2843 + 734 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 7. Let r be o(-14). Let p(x) = x**2 + 6*x - 8. Let l be p(r). Which is smaller: l or 2\/773?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3723545949.\nAnswer: 3, 37, 33545459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*f - 242 = m, 2*m = -4*f + 156. Suppose m*r - 816 = 76*r. Does 16 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.7 (b) -2 (c) -478\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3998 times 0.3\nAnswer: 1199.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*j - 3*m - 308, -2*m + 248 = 3*j. Suppose 15*v = 19*v - j. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(0 - 3 + 6)*(-1 + 1 - 4)*(-h + h - 2*h).\nAnswer: 48*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-4))\/((-144)\/(-3840)*-20))\/(2\/36).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 15478*s + 7. Let n be u(6). Let w = n + -284875. What is w rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 226514 or 226523?\nAnswer: 226523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 6 + 24. Suppose 4*b + 20 = 3*b - 5*j, b = 5*j + t. Suppose -3*p + x + x = -35, -5*p - b*x = -25. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 50 (c) 0.286 (d) 4 (e) 0.3 (f) 0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -899\/7260 - -17\/121. Let n(p) be the second derivative of -l*p**6 + 1\/40*p**5 + 24*p + 1\/6*p**4 + 0*p**2 - 1\/3*p**3 + 0. What is z in n(z) = 0?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7)*1 + 2 - (sqrt(7) - sqrt(35)\/sqrt(5))**2*6)*2.\nAnswer: -12*sqrt(7) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 17*h**2 - h - 1. Let s be l(1). Differentiate 49 - 14 + s*d + 14*d wrt d.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*k - 2*k**3 + 5*k**2 - 13*k**2 + 0 - 1 + 1.\nAnswer: -2*k*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19836949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/(-2) + (-92)\/(-18) and -11\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521354 is divided by 428?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 759033, 759035, 759037?\nAnswer: 759039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -10*b**2 - 5*b**2 + 12*b**2. Let h(l) = l. What is h(t(j))?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, g: 1, b: 2, f: 7, z: 2, r: 1}. Give prob of sequence gz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4506524?\nAnswer: 2, 11, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-1 + 3 - 3)*(248*d**3 - 2*d**4 - d**4 - 239*d**3).\nAnswer: 3*d**4 - 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17064*f**4 + 23*f**3 - f**2 - 6093535*f?\nAnswer: 204768*f**2 + 138*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 152885911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*1\/2*12*135\/(-12636)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 36 = 4*b, -b + 6 = -0*b + 4*v. What is the least common multiple of b and 26 + 1 + 19\/(228\/36)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**4 + 0*r**4 - 4*r**4)*(-15*r + 2 - 29*r + 52*r).\nAnswer: 16*r**5 + 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 139 = -c + q, 0 = -5*c - q - 1112. Let l = c - -381. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 49.54836 nanoseconds?\nAnswer: 0.04954836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 41*x + 31. Let h be s(21). Let r = 393 + h. Solve -8 = r*a + 5*q, -5*a - 3*q - 5 = 2*q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 10 - 58 = 0. Let j be 171\/(-4) + u\/16. Does 8 divide (216\/j)\/((-6)\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*q**2 - 184*q**2 + 101*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 75378 = 3*u - 525800, -3*u = 4*q - 601223. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -0.1, 2\/13, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6118 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: Is 537841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 5\/4, 29\/4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12*o - 3. Suppose -w + 2*w = -4*h, h + 11 = -3*w. Let k be y(h). Solve 6*t = 3*t - k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/(-2)*(-1 - 0). Suppose 33 = o + l, -5*l - 5 = -o + z. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + w - 2*w)*(3*w + 2*w**2 - 3*w) + (-60*w**2 - 11*w**2 - 27*w**2)*(2 - 2 - 3*w) to x*w + p*w**3 + n*w**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 1. Let u be r(-1). Solve 2*q + 3*q - 15 = u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152*r**4 + 42*r + 2?\nAnswer: 1824*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 889201 a multiple of 1811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(3\/2)\/(-3). Let b = d + 1. Suppose v - 6*v + 10 = 0. Sort v, 4, b.\nAnswer: b, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = q - 34, -53 - 58 = -3*q + 3*b. What is the highest common divisor of q and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*f - j - 5, 5*j - 15 = 0. Let t(g) = 0*g + f*g + 0*g. Let w(o) = 2*o**2. Give w(t(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -511 + 532. What is the remainder when 134 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 73 = 5*m, 4*a - 38 = -2*m - 0*m. What is the remainder when 21 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 + 2. Suppose 2*h - 7 = 1. Calculate the remainder when g(h) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.01 + -120803?\nAnswer: -120805.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 13 (c) 2331 (d) 0 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l + 2*l)*(0*l + l - 2*l)*(6 + 45 + 21)*(3*l + 3*l - 3*l + 17).\nAnswer: -432*l**3 - 2448*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -831.73 and 6778?\nAnswer: 7609.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -16348*r**2 + r + 2. Let i(c) = c. Calculate i(q(w)).\nAnswer: -16348*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/6 + 23023879*m\/6 + 3837313.\nAnswer: (m + 1)*(m + 23023878)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, y: 4}. Give prob of sequence zzyy.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Find the third derivative of -2*k**4 + 3*k**u + 3*k**2 - 2*k**2 + 2*k**4 wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 73*h + 626. Give i(-9).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.92 - -8.08. What is the fourth biggest value in 4, -5, o, -5\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105476 and 60272?\nAnswer: 421904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9*n = 160. Let z(i) = 158*i**3 + 3*i + 4. Let y be z(-1). Let h = n - y. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Suppose -k*w + w = 5*b + 11, -2*b = -2*w + 10. Let x = 10 + b. What is the highest common factor of x and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4080 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 3*p**2 - 7*p + 1. Suppose -5*i = 3*q - 35, 6*i - 4*q = i. What is the least common multiple of f(-3) and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2907473963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 2*t**2 + 2*t + 3. Let q be j(0). Put 28, -2, 5, q in decreasing order.\nAnswer: 28, 5, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 4, 0.7, 19, -1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - 2*m**2 + m**2 + (0 + 0 + 2*m)*(-23*m - 62 + 62) - 2*m**2 - m**2 + 0*m**2 + m - 2*m**2 - m in the form a*m + k + q*m**2 and give q.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1406120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 8 = d, 2*m - 5*d - 20 = 0. Suppose 0 = -m*o - o + 20. Let w = -59\/3 + o. Which is the closest to w? (a) -2 (b) 15 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -14, -3\/5, 4\/3 in ascending order.\nAnswer: -14, -3\/5, 3\/5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(128) - (sqrt(190)\/sqrt(5))\/sqrt(2))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.565774ml?\nAnswer: 0.005565774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 43. Suppose -2*w + 5*v + 5 = b, 2*w = -4*v - 3 + 17. Suppose w*t - 42 - 48 = 0. What is the highest common factor of t and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11050 + 1556*h + 56*h**2 - 1556*h + 5766*h**3 - 56*h**2 wrt h.\nAnswer: 17298*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 3*i**2 + 9*i - 7. Let b be w(-5). Let l be (-15)\/3 + (b - -111). Suppose 0 = g - 5*g + 32. What is the highest common divisor of l and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 100110110000011101011?\nAnswer: 100110110000011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1755826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - 2*q**4 + 2*q**4 + (2*q**2 + q - q)*(-4*q**2 + q**2 + q**2).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 2*t - 12. Let p be l(0). Let v be (6 - p\/(-4)) + 0. Which is the closest to -1? (a) -0.1 (b) v (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*a**2 + 26*a**2 + 5*a**2 + (-3*a**2 - a**2 + 2*a**2)*(-3 + 1 + 4).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5043998016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 - -33) + 24 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21522.18487 and -10.4782?\nAnswer: 21532.66307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22063 + -2?\nAnswer: 22061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-52)\/(-78)*4\/(-248)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let g(x) = -10*x**2 + 3*x. Give r(g(y)).\nAnswer: -10*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 v, and 1 q when three letters picked without replacement from {v: 4, x: 2, e: 1, b: 1, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*x + 332*x - 136*x + 221*x = -18802 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 2:09 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.92873ns to microseconds.\nAnswer: 0.08092873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 4:05 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1027636*m**4 - 5*m**3 - 658*m**2 - 3053*m wrt m?\nAnswer: 24663264*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -26. Suppose -3*j = -5*h - 61, 0 = 5*j + 3*h - q*h - 139. Calculate the remainder when j is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.7272 * -2.\nAnswer: 19.4544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166961729?\nAnswer: 11, 29, 47581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flqq. Give prob of picking 3 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 bigger than -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1046.9.\nAnswer: 104.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 15. Let r be 3 - (-3 + 6)*1. Let z = x - r. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 858289755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 395175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/35, 10, 0.07, -1.6 in decreasing order.\nAnswer: 10, 0.07, 2\/35, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*g - g + 8, -4*g - 2*t - 8 = 0. Let w be g\/(-9) + (-25)\/(-9). Suppose 3*c = 2*r - r - 26, w*r - c = 78. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z - 33*z = -g - 22, -2*g + 81*z = 76*z + 41 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264.1696ng in micrograms?\nAnswer: 0.2641696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 9:26 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 894073 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -369 - -3?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3327 - 92?\nAnswer: 3235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-172)\/(-28) - 3\/2*(-10)\/(-105)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 21*y - 85. Let i be m(-6). Solve -d - 5*t = -7, 3*d - 6*d - 19 = -i*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 689 + 79 = 0. Is 15 a factor of (-1982)\/(-12) + r\/288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r**(2\/17)*r))\/r)\/r)\/r*r*r*r*r**1*(r*r*r*r\/(r\/r**(-1\/4))*r)**(-3))\/((r*r\/r**1)**(-1)\/((r**3*r)\/r*r**6)) assuming r is positive.\nAnswer: r**(-25\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 3\/2*g**2 + 0*g + 1. What are the prime factors of w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22194940*11.\nAnswer: 244144340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 40 = -0*d. Suppose 0 = -4*q + 6*q - 4*l - 28, -2*q - 3*l + 49 = 0. What is the smallest common multiple of q and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**5\/3 + 12*z**4 + 56*z**3 + 308*z**2\/3 + 82*z + 24 = 0.\nAnswer: -12, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 39, -36, 2, 0, 1, 5 in increasing order.\nAnswer: -36, -4, 0, 1, 2, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 17*s + 269. What is the remainder when 991 is divided by n(-14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - ((-12)\/2 - (-12456)\/(-288)))\/((-6)\/8).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/2)\/((-5)\/(-18)))\/((-339)\/(-4520)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100.6 + -101. Sort 5, -0.1, 0.6, x.\nAnswer: x, -0.1, 0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = -2*z - 3 + 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31672351.\nAnswer: 3847, 8233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -106.464562?\nAnswer: -104.464562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2053 - -1.\nAnswer: -2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = -x, 2*x = p + x. Suppose -p = 91*i - 93*i. Suppose 5*f - n = 7, -4*n = -i*f + n - 11. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -2135061?\nAnswer: 2135062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**33)\/s)\/s*s*s**5*s*s**(-4\/15)*s**(-17))**(-36) assuming s is positive.\nAnswer: s**(-4092\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -807 divided by -3262\nAnswer: 807\/3262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.587*-5\nAnswer: 2.935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1. Let l(r) = 4*r**2 - 1. Determine 2*h(i) - l(i).\nAnswer: -4*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24291849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 18*p**3 - 81*p**2 + 112*p - 48.\nAnswer: -(p - 12)*(p - 4)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -456620, -913241, -1369862, -1826483, -2283104, -2739725?\n\"Answer: -456621*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/13, 0, 9.157?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166.6 + -167. Let y = 0.04 - 4.04. What is the nearest to -0.1 in y, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2\/3, -2, 1\/10 in decreasing order.\nAnswer: 2\/3, 1\/10, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -8, 4, 52, -31?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54 and 8.9791.\nAnswer: 484.8714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3526771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60476 - 39207. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 234157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25191 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 12*v**2 + 29*v + 2. Calculate k(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -3.3333.\nAnswer: -2.3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, t: 8}. Give prob of sequence tdt.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + z + 3. Let k be r(0). Suppose k = c + 2*j + 1, 0 = 4*c - 2*j - 8. Is (23 + -2 + c)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165 - -165.01. Let f = -337 - -335. Which is the second smallest value? (a) f (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 2, 2\/7 in increasing order.\nAnswer: -3\/2, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i - 61. Calculate the smallest common multiple of b(9) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j - 175. Let v be o(-25). Solve v = u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from {v: 1, i: 1, r: 2, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3) + (2 - 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.2. Let o(r) = r**2 - 8*r + 6. Let l be o(7). Suppose -11 + 65 = 50*p - 146. What is the second biggest value in c, p, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 373 + 1760551?\nAnswer: 1760924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 72 = -5*p + 4, -5*d = -2*p + 12. Let c(s) = p + s - 16. Let i(n) = -20*n. Give c(i(z)).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, c: 1, e: 1, f: 2}. What is prob of sequence lfc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132013 - -110134?\nAnswer: 242202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3) + 11\/(-3). Let s = -56 + 58. Suppose 18*y = 20*y - s. Sort 4, y, g in decreasing order.\nAnswer: 4, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 30 = -142. Let q = r + 69. What is the tens digit of 6\/39 + 542\/q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1375\/16 less than -3\/1124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 105 + -1?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/275 and -151\/150?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 7. What is the second smallest value in t, 2\/15, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -5*y + 25, 5*g + 4 = -1535*y + 1532*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-1)\/s)**(-40))**(-4))**(-9\/2))**(4\/9) assuming s is positive.\nAnswer: s**640","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, u: 2, h: 3, w: 9}. Give prob of picking 2 z.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9.5+-34955659534.2\nAnswer: -34955659543.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Suppose -5*u - 3*v + 156 = -299, r*u + 2*v = 274. What is the highest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 14, -4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16)\/((-109)\/872).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxm when three letters picked without replacement from xiymmyyylx.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9088 and 4674640.\nAnswer: 37397120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - (sqrt(27) + 0) - (5 + -2*sqrt(3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11795783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 3)*(-275*q + 37*q - 2 + 30*q) to the form o*q + u and give o.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**3\/6 - g**2\/2 - 6*g. Let a be (1\/2 + -1)*(-992 - -990). Determine i(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3376\/3 + -1126. Which is the nearest to -1\/4? (a) -3\/7 (b) r (c) 2 (d) 10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.98582 - -0.01418. Sort u, -2, 930.\nAnswer: -2, u, 930","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.704 + 5.4. Round t to two decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 154611, 154621, 154645, 154689, 154759, 154861?\n\"Answer: i**3 + i**2 + 154609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 5*b - 2. Let s be g(6). Let j be s\/(-8)*14\/(-1). Let f = j + -4. Solve -2*l + 6 = 2*r, -2*l = -0*r - f*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 1. Let v be w(-3). Let y be v - (-3 + 3\/1). Let k = y + 21. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282173 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*z + 28, x + 2*x - 54 = 5*z. Let g be 136\/(-4)*1\/(-2). Let r = z + g. Calculate the least common multiple of r and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*c + 16 - 16)*(2*c + 0*c - 4*c)*(6715*c + 406*c**3 - 6715*c).\nAnswer: -12180*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) -2 (c) 1\/6 (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8614367.4 - 846.\nAnswer: 8613521.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 4:17 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 - 3 + 3 + 2*b**3.\nAnswer: 2*b**3 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2114086525?\nAnswer: 5, 53, 59, 27043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*c - 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*i**5 + 3*i**3 + 6710*i**2 + 24*i + 10989 wrt i?\nAnswer: -200*i**3 + 18*i + 13420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 695, 554, 309, -46, -517, -1110, -1831?\nAnswer: -2686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-2 - sqrt(117))\/sqrt(9))**2 + sqrt(13) + 4 - (2*sqrt(39)*-3)\/sqrt(3).\nAnswer: 7*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 18 = -n, -6*n + 1335 = 5*w + 1292 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2522877*q**2 - 18502*q - 9.\nAnswer: 5045754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 8*s - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:01 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -731 - -738. Solve 3*h + p*i = 10*i + 15, 20 = -5*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 441, 72, -911, -2814, -5943, -10604, -17103?\n\"Answer: -51*r**3 - r**2 - 9*r + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3144388 and 1768?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, -3\/4, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**2*z**3 - 3884*u**2*z - 16*u**2 + 147*u*z**3 - z**3 + 2877*z wrt u.\nAnswer: 4*z**3 - 7768*z - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a gram in milligrams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3294 is divided by 307.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 495\/(-2835)*-63*(1 + -7)\/(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.5, 25, -3, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80009413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -975*h + 979*h - 2*j - 24, 9 = h - j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 1056 = 29*a. Let c = 73 + a. Let v be (0 - 3\/(-5))\/((-3)\/c). Solve v*o - 3 = 6*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/3 - (0 - -1 - -171). Let p = 254 + j. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 277*i - 27130497 + 2868650 - 2696070. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 + 77.6. Let t = i - 10. Which is the third smallest value? (a) 5\/2 (b) 0.08 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -0.032.\nAnswer: 0.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (1 + sqrt(11))*3)**2 + sqrt(176) + sqrt(176) + -1.\nAnswer: 52 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/63264 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(17) + -1 + (1*sqrt(204))\/sqrt(12).\nAnswer: 4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 7*n - 66 = 0, 510*n - 252*n + 262 = 5*a + 257*n for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37247 - 37252. What is the nearest to -338 in c, -1, 1, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73386109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 115, 113, 101, 73, 23, -55, -167?\n\"Answer: -q**3 + q**2 + 2*q + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -8, 3, 28, 73, 144?\n\"Answer: t**3 - 2*t**2 + 2*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 - 4*p. Let z be r(3). Suppose 0 = -z*n + 12*n + 21. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 1:50 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 3*k, k - 5*o = 8 - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10756781 to the nearest integer?\nAnswer: 3280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-641*q + 31681 - 31681)*(2*q + 3*q**2 - 2*q).\nAnswer: -1923*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -100*q + 70. Let o(h) = -h + 1. Let x(p) = m(p) - 60*o(p). What is the tens digit of x(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12428 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2*s**3 + 11572*b**2*s**2 - 222*b*s**3 + 2*b*s**2 - 3*b*s - 7*s**2 wrt b?\nAnswer: -6*s**3 + 23144*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 16 = -9*l. Let d be 4\/(l\/28) - 2. Suppose 0 = d*x - 3*g, x - 2*x = -5*g. Solve x = -w + 2*f + 8, w - 2*w = f - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o + 20 = 0. Let n be 6\/o*2\/(-9). Which is the nearest to 1? (a) 1 (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 265 and 25.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 288155, 288070, 287831, 287360, 286579, 285410, 283775, 281596?\n\"Answer: -13*n**3 + n**2 + 3*n + 288164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -365, 1, -50.\nAnswer: -365, -50, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*s - 2*d - 1 + 6 = 861*s + 3*d, 6*d + 6 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g + 2. Let x be o(2). Let h = -5 - x. Suppose r - 3*k = -0*k + 8, 0 = -r + h*k + 10. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217512 and 3996.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1270605, -1270612, -1270619, -1270626, -1270633?\nAnswer: -1270640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49, 85, 119, 151, 181, 209, 235?\n\"Answer: -j**2 + 39*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -8, 14, -5 in descending order.\nAnswer: 14, 3, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 5*x - 25, -16 = u + 5*x + 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*h**3*j + 54*b*j**3 + 7*h**3*j**3 + 18*j**3 + j wrt b.\nAnswer: -2*h**3*j + 54*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*a + 21*a + 420 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 10:45 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 - 228*x**4 + 57564*x**3 + 13141440*x**2.\nAnswer: -x**2*(x - 240)*(x + 234)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0\/137 - (-16)\/(-6)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 6:32 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*((sqrt(245)*-1 - sqrt(245)) + sqrt(245) + -1) - ((-3*sqrt(245)*-2)**2 - sqrt(245) - (1 + sqrt(245) + 3)))*-5.\nAnswer: -105*sqrt(5) + 44075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*d + 5*d + 3*d to m + w*d and give w.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 412411 not equal to 412413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 269758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11427798409\/51 - 224067242. Let c = p + -7236. Calculate the common denominator of c and 10\/153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 503*f**5 + 962*f**3 + 1935537*f**2 wrt f?\nAnswer: 30180*f**2 + 5772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*x = 2, 0*x = -3*x. Let z be (c\/3*2)\/(6\/(-9)). Find the third derivative of -11*t**2 + 17*t**z + 6*t**4 - 9*t**2 wrt t.\nAnswer: 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 399 - 398. Let m = 1.98 + -2. Let r = m - -2.02. Put r, 0, f in decreasing order.\nAnswer: r, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)\/(f\/f**(-4\/9)*f)*(f*f**(-5))\/(((f**(-1)*f)\/f*f)\/f))**(-3\/20) assuming f is positive.\nAnswer: f**(43\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = -24. Suppose -5 = -4*p - 3*o - 3, -4*p - 4*o = 0. Suppose 11 = p*a - h. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39884684 divided by 3787\nAnswer: 10532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f + 2*t - 164 = 0, t = -4*f + 164. List the prime factors of f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1061191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 229*m - 146. Calculate y(-77).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -49*i**6\/120 + i**4\/2 - i**3\/2 + i. Let x(h) be the second derivative of c(h). Factor x(f).\nAnswer: -3*(7*f - 2)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 52*s**2. Let j(i) = 18*i - 2. Determine j(y(r)).\nAnswer: 936*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4 = 4*i, -3*i + 1 = 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-189)\/(-6)))\/((74\/(-370))\/(28\/(-110))).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 1. Let m(z) = -1. Let g(p) = -f(p) + 6*m(p). Determine g(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*q**3 + 0 + 0*q + 0*q**2 - 4\/11*q**4 + 2\/11*q**5.\nAnswer: 2*q**3*(q - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {h: 1, e: 1, p: 6, w: 11}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 11:27 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1460?\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*v, 0 = -3*l + 3*v + v + 29. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/68 and 5\/4964.\nAnswer: 4964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 + 3*t**2 - t - 1. Let g(c) = -3*c**3 - 5*c**2 + 2*c + 1. Suppose 4*v = 3*v + 1. Let f be (-3)\/1*(v + -2). What is f*g(k) + 5*b(k)?\nAnswer: k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.78269+-104\nAnswer: -103.21731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2572 - -3352. Does 60 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l + 61*l - 54*l + 0*l + 2*l**2. Let z(a) = -3*a - a + 3*a. Calculate z(o(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -23*p**2 - 1529*p + 5668. Calculate x(-70).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 3*o - 8. Let m(z) be the second derivative of z**4\/12 + 5*z**3\/6 + 15*z**2\/2 + 9*z. Suppose -361 = -8*b - 321. Calculate b*x(w) + 3*m(w).\nAnswer: -2*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 1, d: 2, q: 2, t: 1, n: 1}. What is prob of sequence qd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 1\/76, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121 and 231.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1089 + 549. What is the remainder when 35 is divided by j\/(-28) + 4\/(-14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/27)\/(4 + (-122)\/6). Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/(-35))\/(142\/994).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/3 - 940*n**3\/3 + 18331*n**2\/3 + 21160*n.\nAnswer: n*(n - 920)*(n - 23)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 170308?\nAnswer: 170308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -t + 4*y, 71*y - 67*y - 97 = -t. Calculate the greatest common divisor of t and 1360.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 37*1 + -4 + 0. Find the common denominator of (-230)\/264 + (-4)\/(-48) and (133\/28)\/(q\/(-8)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24553631, 24553618, 24553605, 24553592, 24553579?\n\"Answer: -13*x + 24553644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**6\/360 - 7*t**5\/120 - 5*t**4\/24 - t**3\/6 + 37*t**2\/2 - 78*t. Let z(a) be the second derivative of m(a). Give z(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/10)\/(10\/4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22102726279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. Suppose -h - i*h = -10. Suppose -4*n = 5*f - 24, n - 9 + 0 = -h*f. Solve f*k = 4*d + 12, 2*k + 4 = -3*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/4)*m\/(m\/(m*m\/(((m\/((m\/m**(-3\/5))\/m))\/m)\/m))) assuming m is positive.\nAnswer: m**(77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, h: 2, s: 4, l: 3, n: 4}. What is prob of sequence lnlf?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2891 = 5*x, x + 0*g - g - 577 = 0. Suppose 7*i = 12*i - x. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/720*-292 - 7\/(-126)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-12)*(2 - (-48)\/(-28)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-141)\/(-12) + 2\/8. Let g = -128 + 127. Let f(h) = -6*h**3 - h**2 + 6*h + 7. Let d be f(g). What is the greatest common divisor of k and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by -6157759.\nAnswer: 74\/6157759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.1, 0.\nAnswer: -0.3, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8530 is divided by 159.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.1 + -10. Let y = 1.1 - n. What is the biggest value in 4, 0.2, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 211 - 5669. What is r rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(264)\/(sqrt(60)\/sqrt(5)))\/(sqrt(12)\/(sqrt(36)\/sqrt(6)*-3)))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5283594 to the power of 1\/2, to the nearest integer?\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -1\/3, 3, 0.4, -0.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.9 + 0.1. Let a = 0.7 + 0. Let g = -0.4 + a. Sort 5, b, g in decreasing order.\nAnswer: 5, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 2*o**2 + 6*o. Calculate g(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n + 5*n + 3*n - 16*n**2 to the form q*n + o + p*n**2 and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n + 11*n - 84 = 0. Factor 4*d - 1 - 15\/4*d**2 + 5\/4*d**4 - 1\/2*d**n.\nAnswer: (d - 1)**2*(d + 2)*(5*d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 0*r**2 + 243 + 225*r + 0*r**3 - 107\/2*r**4. Differentiate v(b) with respect to b.\nAnswer: -642*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8\/17 - -113\/204. Let m = 2268.6 - 2269. What is the closest to t in 4, m, 5, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7642 in -2\/3, -3\/5, 48?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2055)\/(-60))\/(1\/8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-263343)\/(-82) - (-9)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 5\/3*i**3 - 5 - i**5 - 5\/2*i**4 + 0*i + 5*i**2. Factor r(h).\nAnswer: -5*h*(h - 1)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 917 + -249. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 42. Suppose b*z + 7 = s, -z + 15 = 5*s - 6*z. Let l = 0 - 0. Solve l*u = -4*u + 2*r + 4, s = -u + r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + (3 - 4) + 2. Which is smaller: -19\/6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a = 5*t + 3*a + 20, 0 = 5*t + 5*a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -719*z + 2178*z + 8 - 720*z - 721*z.\nAnswer: 18*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 2. Suppose r*w = 2*w + 4. Suppose 0 = -2*a - w*a. Sort a, -1, -3 in decreasing order.\nAnswer: a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 4*g**2 - g + 8. Let b be q(-3). Solve d = 4*u + 16, -d + 4*u + 16 = -b*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -344836*w**3\/7 - 14483118*w**2\/7 + 14827696*w\/7 + 258\/7 = 0.\nAnswer: -43, -3\/172418, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4534536425.\nAnswer: 5, 29, 6254533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5382*x + 5389*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 80 + 120. Let u = 376 - b. Calculate the greatest common factor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**3 + 10*x**2 + 3*x + 2. Let l(i) = 3*i**3 - 9*i**2 - 2*i - 2. What is 6*l(p) + 5*s(p)?\nAnswer: -2*p**3 - 4*p**2 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-14))\/((-7491)\/(-4767)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 8:59 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*b + 4, 0 = -2*q - 4*b - 300. Let r be (-1)\/((-2)\/(-594)) - (3 - (-225)\/(-25)). Let d = q - r. List the prime factors of d.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20243.04 rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3 + sqrt(2057) + 0 + 5 - (-3 + (sqrt(2057) - (1 + sqrt(2057)))*5)))**2.\nAnswer: 198*sqrt(17) + 2138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/5 + 8*q**3\/5 - 6*q**2\/5.\nAnswer: -2*q**2*(q - 3)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40 + 9 - 51)*(-2 - t**2 + 2) to the form m + y*t**2 + z*t and give y.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1401 (base 6) in base 3?\nAnswer: -111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 18, 0, 33 in descending order.\nAnswer: 33, 18, 8, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 + 293 + 36 - 5*z**3 - 7*z**3 + 9*z**3 to the form o + x*z + s*z**2 + i*z**3 and give o.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 6 = 4*z + 10, 2 = 5*z + 2*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 171369.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -293*c**2 + 25*c - 34. Let h(p) = 176*p**2 - 15*p + 20. Give 17*h(d) + 10*k(d).\nAnswer: 62*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = 18*x - 4*q, -3*x + 16 = -2*q. Let r = -18 + 29. Let i(o) = -6*o + 3. Let a(m) = 17*m - 9. Give r*i(v) + x*a(v).\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 10 (b) -1 (c) -1\/5 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 2 + (2 - 2). Let o = 405 + -269. Suppose 5*w - z*n = 161, 0 = -w + 5*w - 4*n - o. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35500283 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 723750 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50726, -202995, -456776, -812069, -1268874, -1827191?\n\"Answer: -50756*z**2 - z + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3*y = -35. Let m = y + 9. Suppose v = a + a + m, 4*v = 2*a + 164. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsbr when four letters picked without replacement from rqrsbvrsrrsrrqrrsbb?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**5\/60 + v**3\/6 - v**2. Let w(r) = 5 + 12*r**2 + 26130*r - 4*r**2 - 26128*r. What is 6*a(u) - w(u)?\nAnswer: -2*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077 minus 0.06515352238?\nAnswer: 2076.93484647762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(sqrt(392)*3))\/(sqrt(60)\/sqrt(5) + sqrt(300) + (sqrt(300) - -1*sqrt(300) - sqrt(300))))**2*-6.\nAnswer: -1\/17787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-v + 0*v + 0*v)*(0 + 3 - 1) + 0*v - v + 2*v + 18*v - 6*v - 25*v)*(2*v - v + 0*v) + (0*v + v + 0*v)*(-3*v - 10*v + 5*v).\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -52d8462?\nAnswer: -52d8459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -747 + 1602. Let v = r - 852. Solve 4*z = 2*z - 2*x - 8, -2*x + 12 = -v*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30377 = -1600*j + 25331 + 104246 for j.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4957*a - 13663. Let f be d(-8). Calculate the highest common factor of f and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904754259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*q - 48*q - 644 - 780 = 0 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26816 = 10*y + 816. What is the highest common divisor of y and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(832) + -5 + sqrt(832) + -2 - (sqrt(832) - (sqrt(832) + 4 + sqrt(832) + -2))))**2.\nAnswer: -3840*sqrt(13) + 120208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 54*j + 2. Suppose -1 = -r + 2*r + 3*w, 0 = 4*r - 2*w - 66. Calculate the least common multiple of r and g(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 4840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5598*d - 3732. Let p(w) = 4*w + 3. Give 3*b(f) + 3732*p(f).\nAnswer: -1866*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Let s(p) = 10*p - 49. Let r(m) = -6*h(m) - s(m). Find the first derivative of r(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72377 by -218.\nAnswer: 72377\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (8 - 11 - -4) + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**2 + 4\/5*t + 8\/15*t**3 + 1\/10*t**4 + 2. Suppose n(m) = 0. What is m?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2848 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, 2, 34890.\nAnswer: -16, 2, 3, 34890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2476, 4803, 7130?\nAnswer: 9457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.919 + 3.919. What is the nearest to -0.1 in i, -0.3, -677?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (-44 + -9 + 99).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 9*v - 33*v.\nAnswer: -24*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -122452 divided by 92?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -46. What is the remainder when 25 is divided by ((-4)\/a - -16) + -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 0*c + 3\/2*c**2 + 0*c**3 + 1\/2*c**4 + 1. Find the second derivative of x(n) wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1721212?\nAnswer: 2, 430303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.866 - -0.9. Let j = -3.266 - f. Let p = -0.7 + j. Which is the second smallest value? (a) p (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109081666*x**3 + 170939352*x?\nAnswer: -654489996*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**2 + 0 + 1\/3*s**4 - 4\/3*s**3 + 0*s. Let x be d(7). Calculate the greatest common factor of x and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1443.5 + -1444. What is the biggest value in -1\/37, j, 18, -1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -79.8, -2 in descending order.\nAnswer: 2\/11, -2, -79.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67.177 - 0.177. Let b = 66.5 - v. Let s be (-3)\/(-11)*4\/6. What is the closest to 0 in b, 1\/9, s?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/5 + 12\/(-30). Let z(r) be the first derivative of -5*r**2 - r**5 + r**c + 5*r**2 + 3 - 2. Find the second derivative of z(p) wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -78. Let k = a + 30. Let t be 30\/(-24)*k\/(-2). Are 6 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(1\/1)\/(675\/(-15))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24867521 to the power of 1\/2, to the nearest integer?\nAnswer: 4987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -c + 109, -3*n + 189 = 2*c - 8. List the prime factors of c.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 6*r**2. Let y be k(6). Suppose 2*u - 4*p - 18 = -y*u, 2*u + 2*p = 0. Suppose -c = 2135 - 2140. Solve 2*g + 28 = c*b, -b - 13 + 5 = u*g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2. Let w(j) = 381*j**2 - 128*j**2 - 124*j**2 - 127*j**2. Calculate o(w(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -72575, -72550, -72511, -72452, -72367, -72250, -72095, -71896?\n\"Answer: m**3 + m**2 + 15*m - 72592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 + 6*k**2 + 43*k + 68. What are the prime factors of t(14)?\nAnswer: 2, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -1)\/(10\/1990). Is 198 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -71, -1\/3, -2, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/5)*t**10)\/(t\/t**(-4)*(t**(4\/9)*t)\/t) assuming t is positive.\nAnswer: t**(268\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Suppose 5*q = -4*y + 180, -4*q + x*q = -5*y + 192. Let j be (4\/(-10))\/((-2)\/y). Solve -5*t - 2 = j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43.7 in -0.3, -1\/6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163*l*m**5 + 9*l*m**4 - 1009*l*m**2 + l*m + 2*m**2 + 2*m wrt m?\nAnswer: 9780*l*m**2 + 216*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 9*x**2 + 3. Let d be y(-9). Suppose -4*q + f + 151 = -4*f, 0 = -3*q - d*f + 93. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-2\/3)*n**(1\/16) assuming n is positive.\nAnswer: n**(83\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91\/62 - 30\/31. Let t = -0.056 - 0.154. Sort t, q, -1.\nAnswer: -1, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 257, 1023, 2293, 4061, 6321, 9067, 12293?\n\"Answer: -r**3 + 258*r**2 - r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9450 and 37450.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - p - 11 = 0, -3*p + 15 = 27*h - 29*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-46)\/(-10) + 16\/40. What is the biggest value in -1\/3, k, -2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1495\/6 + 250. Let m(x) be the third derivative of 1\/4*x**4 + 3*x**2 - 1\/60*x**5 - v*x**3 + 0 + 0*x. Determine m(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 2. Suppose -32 = v*o - 252. What is the remainder when o is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(4\/5)))**(6\/5)\/(q\/((q**(1\/4)*q)\/q*q)*q\/((q*q**(2\/29))\/q)) assuming q is positive.\nAnswer: q**(809\/2900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58068?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2928186*a**3 - 1698945*a?\nAnswer: -17569116*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from zozzolz.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -191*i + 85*i + 91*i - 4. Is m(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 12:11 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 + -251. Let j be -1*1 - l\/21. Solve w - 27 = 5*u - 9, j*u = -4*w - 28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/83813, -1\/3, 1\/2, 5 in decreasing order.\nAnswer: 5, 1\/2, -4\/83813, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5 = 4*y, 5*f + y = -160 + 155 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-3) + (2 - -35). Let x = i + -19. Calculate the remainder when x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.449 + -0.249. What is the nearest to 3 in 0.05, a, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/3))**35*c**(-17)*c**(-34) assuming c is positive.\nAnswer: c**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4876990.\nAnswer: 2, 5, 71, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 79*q - 1976. Calculate a(18).\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 22. Let a be p(5). Let k(n) = n**3 + 7*n**2 - 3*n - 9. What is the remainder when 44 is divided by k(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, r: 3, u: 1}. Give prob of sequence urr.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 18 = 2*k, -79*k = -76*k - 2*h + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 0.06, -0.2, -13, 0.5, 0.2, 8.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 239*o + 573*o + 560*o - 30*o.\nAnswer: 864*o + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*z + 5*t, -2*z + 2*t = -0*z - 2. Solve 3 = -z*c + c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 67.6. Round v to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*w**2 - 6*w**4 + 3*w**4 + 5*w**4)*(-2*w + 0*w + 0*w).\nAnswer: -4*w**5 - 108*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17015369591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 18*y - 2. Let g(z) = 3*z - 28. Let f be g(6). Let s be ((-102)\/(-85))\/((-4)\/f). What is the units digit of p(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 2:10 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:53 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.16 - 0.16. Let m = -0.73 + 0.33. What is the third biggest value in 1\/2, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*r = -54, -3*v + 8*v = 5*r + 65. Suppose v*s = 26*s - 30. What is the greatest common factor of 10 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h + 12 = -c, 5*c = -5*h. Suppose -g + 40 = 3*g - 3*i, 50 = 5*g - c*i. Let r(d) = -2*d**3. What is the lowest common multiple of r(-1) and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.5 times 0.318?\nAnswer: -3.339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**2)**44\/(j\/j**(-3\/11)*j*(j*j*j**5\/j)\/j*j) assuming j is positive.\nAnswer: j**(1361\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -1. Suppose -4*i + 6 = 3*c, -c + 0*i + r*i = -2. Find h, given that 0*h**2 + 10*h - 4 + 14*h + 25*h**3 - 45*h**c = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 times -0.4?\nAnswer: -134.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 230*v**2 - 2*v**3 + 3*v**3 - v**4 - 27*v**2 - 1 to the form l*v**3 + u + i*v + d*v**2 + c*v**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 0*v**3 - 3*v**3 + (-2*v**2 + 2*v**2 - 2*v**2)*(0 - v + 0) + 2*v**3 - v**2 + v**2 - v**3 - 2 + 2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, -3, -2\/17, -4 in descending order.\nAnswer: -2\/17, -2.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1*2)\/(6\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 6*r + 4*z - 34, 2182*r = 2181*r + 7*z + 17 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Suppose 5*i + 2*q = -3*q + 10, 4 = 2*i - 3*q. Suppose -4 = -v + k, -v - i*k + 12 = -7*k. Let z(o) = -2*o**v + 8*o**2 + 2 - 2. Determine z(j(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87.029831 + -0.038169. Let w = -87 - v. Let t = w + -0.067756. What is t rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 9. Suppose d - w = -0. Suppose -2*x + x = -d. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 19 - 35. Calculate the remainder when -5 + 0 + ((-1270)\/(-10) - 15) is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14629 is divided by 621?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10921 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.2, -1, -1\/2, 3.8, -4\/5 in descending order.\nAnswer: 3.8, -0.2, -1\/2, -4\/5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9\/41, -2\/13, -1\/2, 0.3, 4?\nAnswer: -9\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1318 - -6591\/5. Which is the biggest value? (a) -0.3 (b) r (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l. Let f(x) be the second derivative of 11*x**6\/720 + x**4\/12 - 37*x**2 + 4*x + 4. Let n(z) be the third derivative of f(z). Determine a(n(b)).\nAnswer: 44*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -24011?\nAnswer: -24002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 times 0.9639285?\nAnswer: 26.0260695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -51. Find the second derivative of -5*r + b*r**5 - 7*r + 11*r**5 wrt r.\nAnswer: 280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1610\/11, 0.2, -14.\nAnswer: -14, 0.2, 1610\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 126, 123, 120, 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2559533, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + l = -18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/(1*(0 - 1)) - 2. What is the highest common divisor of 28 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 3*g - 18, -90 + 94 = t - g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 17*j**2 - 35*j + 10. What is the remainder when v(-15) is divided by 4\/22 - (-317)\/11?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 883*b + 2. Let p(h) = 17*h. What is t(p(c))?\nAnswer: 15011*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a**3 + 667 - 667.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, h: 3, l: 6, u: 1, i: 1, g: 3}. Give prob of sequence ggh.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 142*f**2 + 1238*f - 2*f**3 - 1238*f.\nAnswer: -2*f**3 - 145*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36, 34, 30, 24?\n\"Answer: -r**2 + r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 31186\nAnswer: -7\/31186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s + d + 3, 4*s = -2*d - 6. Let i = -20 - -24. Which is the nearest to s? (a) 2\/13 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74593640.\nAnswer: 2, 5, 11, 169531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 times 17?\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 - ((-6 - 4) + -3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10325 * 0.1\nAnswer: -1032.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n + 8. Sort 4, 2, n in decreasing order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 76*(286\/8 - 3). Suppose 0 = -5*r - 13 + 38. Suppose 0*d + f = r*w + 2*d, -2*w + 5*d + 984 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 + 5\/6. Let p = 1825 - 1826. What is the third smallest value in f, p, -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -283.000000501 + 283. Round b to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5.5. Let j = s + -1. Sort 4, -5, j in increasing order.\nAnswer: -5, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 13. Let h(t) = 2*t**2 + t**2 - 4*t + t**2 - 2*t**2 - 6. Calculate the remainder when h(5) is divided by v(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 4:23 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63.99999931 + -64. Round f to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - x - 22, 3*a + 0*x - 5*x = 66. Solve -m - 17 = -a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 64*v**4 + 900*v**3 - 904*v**2 - 60*v = 0.\nAnswer: -15, -1\/16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2131c3 (base 15) to base 9.\nAnswer: 2867203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 635*z**2 - 3840*z + 44. Give b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441394*h**2 + 25 - 220695*h**2 - 220700*h**2 + 1.\nAnswer: -h**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 15*k**4 - 130*k**3 - 160380*k**2 + 7086600*k - 13530880 = 0.\nAnswer: -352\/3, 2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*c**5\/5 + 2134*c**4\/15 + 1198*c**3\/3 - 530*c**2\/3 - 6014*c\/15 + 172\/5 = 0. What is c?\nAnswer: -86, -3, -1, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 18 - 43 - 9*f.\nAnswer: -9*f - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 295*y - 3998. What is v(160)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 7, o: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -12.48, -4, -0.655, 2\/7, -5, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 28*j + 23. Let b be m(27). Suppose 3*z + 4 = -2. Sort b, z, 4 in descending order.\nAnswer: 4, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 603.027125 - 0.137125. What is v rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -18. Suppose 0 = 3*r + 12, -4*b + 14 = -5*r - 14. What is the smallest common multiple of s and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 3*s - 2. Let y(t) = 3*t**2 - 7*t - 5. Let z(p) = -5*o(p) + 2*y(p). Let a be z(0). What is the derivative of 0 + 2*q**3 + 0*q**3 + 2 + a wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d. Suppose -i - m = 7 - 4, -4*m = -i - 8. Let j be (-12)\/8*i\/(-6) - -3. Which is the closest to d? (a) -2\/9 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -18 - -7 - 3*-1. Let f be (5\/3)\/(u\/(-24)). Find the third derivative of f*y**2 - y**2 + 2*y**2 - 18*y**2 - 7*y**3 wrt y.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4 = i - 2*z, -z = -3*i - 7. Let n be (-1)\/(4\/6)*i. Let x = 408 - 406. Solve -h + n = -x*h + s, -3*h - 3*s = -15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a + 36 - 193*a**3 - 38 + 2*a.\nAnswer: -193*a**3 - 10*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*l = -81, -3*l + 69 = -k + 4*k. Let j = -39 + k. Let d(p) = p**3 + 10*p**2 - 12*p + 12. What is the tens digit of d(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 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 t(h) = -2*h**2. Suppose -2*y + 3*u = 5, -3*y = -4*y + 2*u - 5. Let n be 2 + -2 + y\/5. Let z(d) = -n + 28*d - 24*d + 1. Calculate z(t(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-6))\/(9\/(-252)). Suppose -4*u + 127 = -p, 0 = 2*u - u - 5*p - 27. Suppose -2*h = 2*h - 3*w - u, 21 = 5*h + w. Sort -5, h, q in ascending order.\nAnswer: -5, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - (sqrt(3) - -6*-1*sqrt(3))) + sqrt(12)\/sqrt(100))*-2)**2.\nAnswer: 11532\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67215826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - 3*j - 2. Let p be n(-1). Suppose -3*t - 57 = -2*b + 616, 0 = b + p*t - 332. Suppose -4*q + 421 + b = 0. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 21*q = 0. Suppose -4*s - 5*d + 8*d + 60656 = q, -4*d = 16. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 + -111. Let i = 10 + r. What is the third smallest value in 0, -2\/11, -4, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 + 55 - 54 + 5*v - v in the form d*v**3 + a + m*v**2 + x*v and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181882 is divided by 590941.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7564?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11976200 * -13.\nAnswer: -155690600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(1280) + sqrt(1280)*1 - sqrt(1280)) + sqrt(1280) + sqrt(20)))\/(6*(1*sqrt(36))\/sqrt(9)))**2*-4.\nAnswer: -36125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l + 51 = 0. Let s = -622 - -772. What is the remainder when s is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 111, -5, -2\/2893?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 13*x - 9. Calculate the remainder when 36 is divided by n(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 16 = 2*d, -3*s - 4*d + 14 = -8*d. Suppose 5*z - s = 24. What is the greatest common factor of z and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -36. Solve 3*l = -q + l - 1, 0 = -p*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5919565 times 0.047?\nAnswer: -278219.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6217441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8. Let i = -42 - -167\/4. Let t = i + -1\/4. Which is the nearest to x? (a) -2 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 - 1. Let f(l) = l**2 + 6*l + 2. Let c be f(-6). Suppose -x = c*x + 3. Which is greater: x or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/19)*f)\/f*(f\/(f*f**11*f)*f)\/f)\/(f\/((f*(f*f\/((f\/f**6)\/f))\/f*f*f*f)\/f))**(1\/51) assuming f is positive.\nAnswer: f**(-3479\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**4\/12 - s**3 + 3*s**2 - 22*s. What is the remainder when 20 is divided by a(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7976081107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3341482 at least -56805188\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*(sqrt(539))**2 - (-1 + -3*sqrt(396)).\nAnswer: 18*sqrt(11) + 4313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -142*c - 1. Let w(g) = 8096*g. Give w(r(d)).\nAnswer: -1149632*d - 8096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -23*d**3 + 5*d. Let y(x) = -24*x**3 + 6*x. Give 6*t(b) - 5*y(b).\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -27. Is n smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56.412 - -3105034358.\nAnswer: 3105034414.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 - 486*l - 2 + 482*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 = m, 3*m - 2453 = -5*g. Let p be (-674)\/(-14) - 70\/g. What is the greatest common divisor of p and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 26\/8)*4. Let k(v) = 5*v + 18. Let i be k(-10). Let p be i\/(-20)*(-10)\/4. Which is the closest to -4? (a) 1 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 (base 6) in base 11?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 9*v = 6. Suppose -h + n = -15 - v, 2*h - 3*n = 39. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.9 + 5.6. Put 5, 4, s, -7 in decreasing order.\nAnswer: 5, 4, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -11. Suppose 0 = 38*k - 37*k - 18. Calculate the remainder when k is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -0.0598466, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 2*i**3 - 4*i. Let o(s) be the third derivative of s**4 + 302*s**2 - 5. What is o(g(l))?\nAnswer: 288*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1.397.\nAnswer: -4.191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 869369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -79847 at least as big as -319385\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.08, -1\/8, 4, 0, 2\/5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/192 and 77\/10548.\nAnswer: 168768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 247 - 243. Let d(y) = -1. Let f(l) = 3*l**3 + l**2 + 2*l - 3. Let m(i) = c*d(i) - f(i). Give m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -7*b**4\/24 - 22*b**2 - b + 10. Let v(p) = 174*p - 2. Calculate v(c(m)).\nAnswer: -1218*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 3*j + 4, 0 = -32*a + 29*a + 2*j - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhi when three letters picked without replacement from ihihhii.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1911\/126)\/(-13))\/(14\/(-8))*-1*-120.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 5)*(4 - 4 - 1)*(-9*y**4 + 8*y**4 - 9*y**4) to u*y + f*y**2 + a + x*y**3 + z*y**4 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1931825 = -33*a - a - 49*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -12860*y**2 - 12*y - 76139*y**2 + 12 + 5*y. Let k be a(4). Round k to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Suppose n = b + 5*c + 25, 4*c + 10 = 3*b + 2*c. Let p(r) = 8932*r + 89324. Let s be p(-10). Solve -s*v + 20 = -b*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32421.98s to microseconds.\nAnswer: 32421980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 229 + 10aa718?\nAnswer: 10aa945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.16 (b) 1\/5 (c) -1\/4 (d) -3\/4 (e) -0.4 (f) 48726\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -1, -10, 0, -12 in descending order.\nAnswer: 0, -1, -10, -12, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y - 46 = s, -5*s - 5*y = 80. Let g = -20 - s. Let t = 13 - g. What is the greatest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2345 and -31\/238290525?\nAnswer: 1668033675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 2*j + 3. Let c be r(0). Suppose -21 = -5*x - c*n, -3*n + 17 = 5*x - 2*n. List the prime factors of x\/7 + (6340\/(-14))\/(-5).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3898 - 24*b**3 - 27*b**3 + 72*b**3 - 11266 - 23*b**3.\nAnswer: -2*b**3 - 15164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 13 = 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 5 = r. Let j = r - -42. Let b(l) = l + 9. Let a be b(5). What is the highest common factor of j and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 511 and 4662.\nAnswer: 340326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(1\/3)\/f*f*f*(f\/(f**3\/f))\/f*(f\/f**6)\/f**(1\/7))\/((f\/f**(2\/3))**(-11))**(1\/16) assuming f is positive.\nAnswer: f**(-401\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:07 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -37.3459174 and -0.0344.\nAnswer: -37.3803174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 97*c - 4 - c**2 + 96*c + 12 - 6*c**3 - c**4 - 5 to the form f*c**2 + a*c**3 + p*c**4 + m + z*c and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93667414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2. Suppose -2*a = -5*w + 13, -5*w + 43 = 3*a - 0*a. Let y(d) = 7 - a - 1 - 15*d**2. Give y(i(s)).\nAnswer: -15*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-14)\/(-84))\/1*42\/20.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 + 43*u**2 + 8*u**2 - 51*u**2.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + 136*d + 1939. What is b(57)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i - 5929 - 3*i**2 + 5929 to the form h + o*i**2 + f*i and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 517189 - 3?\nAnswer: 517186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(-8) - (685\/(-225) + (-62)\/(-1395)). Factor -1\/2*x + a*x**2 - 1\/2.\nAnswer: (x - 2)*(3*x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*x**3 - 68*x**3 - 2 - 646*x**2 + 646*x**2 - 114*x**3.\nAnswer: -282*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -1054636?\nAnswer: -1054625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31836 is divided by 398?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 4459?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 q when four letters picked without replacement from qqqasqasaaaa?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62363659781*t**2 - 124727319569*t**2 + 62363659786*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5876 greater than -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 49. Let b(l) be the second derivative of -l**5\/20 + l**4\/6 + l**3\/6 + l**2\/2 + 160*l. Determine b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 55689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*15\/12)\/(74\/74)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/53, 0.1, -3, 0.08 in decreasing order.\nAnswer: 0.1, 0.08, -5\/53, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 30*w**3 - w**2 + 6*w + 10. Let i(l) = 10*l**3 + 2*l + 3. Give 2*c(k) - 7*i(k).\nAnswer: -10*k**3 - 2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2433*o**3 + 2372*o + 573*o + 5527*o**3 - 2328*o**3 wrt o.\nAnswer: 33792*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*c - 1 = 1, 2*c + 14 = 5*n. Suppose -4*p + 4*b + 8 = -0*p, 3*p + 4 = -n*b. Solve -4*f + 5 - 1 = p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s**2 - s + 1. Let a(n) = -111*n**2 - n + 3. What is 2*a(i) - 6*l(i)?\nAnswer: -186*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 7*n + 89. Let c(p) = -82*p. What is t(c(v))?\nAnswer: -13448*v**2 - 574*v + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/9)\/4)\/(20\/10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 - 1)*(-3 + 3 + 2*b) + 5*b + 2*b - 9*b)*(-b**2 - 3*b**4 + b**2).\nAnswer: 36*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/98*-8)\/(4\/(-14)). Let y(f) = -3 + f - f**h - 25*f + 17*f. Determine y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 342*q - 14997. What is v(39)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*c + 349*w = 345*w - 29, w + 3*w = -28 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -5 (c) 594\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68651*g - 2310902?\nAnswer: 68651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -560 + 554. Let p be x\/12 - 2\/(-4). Factor -1\/4*o + p + 1\/8*o**2.\nAnswer: o*(o - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 j, and 1 r when four letters picked without replacement from srrrjrsssarsassrsssr.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - -3.99. Let o be (28\/(-10) + 2)\/(6\/15). Let j be 4\/10*(3 - o). Which is the closest to 1? (a) -4 (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 2:43 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 - -3) + 9 + 0. Let c(j) = j**3 - j**2 + j - 13. Let z be c(0). Let k = z + 20. Solve i = -p + k, -4*p + 18 = -d*i + i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 189758 and 189758 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000096 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**6\/100 - v**5\/6 + 53*v**4\/180 - v**3\/5 - 28*v**2. Factor i(b).\nAnswer: -2*(b + 9)*(3*b - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 98595, 98701, 98817, 98949, 99103, 99285, 99501, 99757?\n\"Answer: o**3 - o**2 + 102*o + 98493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*a = 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - 8*d + 7. Let y(i) = 4*i**2 - 9*i + 7. Suppose 12 = -14*q + 40. Let n(k) = q*y(k) - 3*w(k). Calculate n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i + 4*u = -1558 + 1218, -i - 2*u - 16 = 0 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -430 - -650. Suppose -34*x = -32*x + r. Let c = -46 - x. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 d when three letters picked without replacement from mddddmmdmd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or -169?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 4*b + 4. Let f(l) = l**2 + 5*l + 2. Let v(m) = 24*m**2 - 3*m + 2. Let a be v(1). Let n = -26 + a. Let p be f(n). Calculate t(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2. Let y = 4 - 2. Let f be m(y). Let r = -136 - -138. Solve r*v + 2 = -2*i - f, 3*i + 5 = -5*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-483)\/(-345) - 46\/40. Let k be (5\/9)\/(40\/48). Sort b, 33, k in descending order.\nAnswer: 33, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.67, -2, 1\/2 in descending order.\nAnswer: 4.67, 1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 l, and 1 r when three letters picked without replacement from {r: 3, o: 4, w: 4, g: 3, l: 2, a: 1}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13363 + -13365. Let u(s) = 72*s**2 - 4*s - 8. Let o(b) = 71*b**2 - 5*b - 8. Let v(t) = -5*o(t) + 6*u(t). What is the hundreds digit of v(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1039480492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*u**3 + 8\/7 + 2\/7*u**4 - 6\/7*u**2 + 8\/7*u.\nAnswer: 2*(u - 2)**2*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h + 42. Let c be p(7). Suppose -41*x + 36*x + 220 = c. Calculate the remainder when 87 is divided by x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f - 9 - f**2 + 8 + 18 + 4*f**2 - 8*f as s*f**2 + y + w*f and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0934 + -33.0934. What is the closest to -0.1 in n, 2\/5, 2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61017.435 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + p. Let c(j) = -4*j**3 + j**2 + 6*j + 1. Let x(k) = -c(k) + 6*z(k). Calculate x(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14072 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 308\/7161*(-15)\/10.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7087 + -0.0087. What is the biggest value in 4, 0.07, 2\/15, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 233158093 and 1337.\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 953, -1740 in decreasing order.\nAnswer: 953, 1, -5, -1740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from ewteteccjdwc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 2*n + 10, v = -2*v + 2*n + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**2*v**4 - 38*u**2*v + u*v**4 + 21*u*v**3 - 2*u*v**2 - 2*v wrt v.\nAnswer: -48*u**2*v + 24*u*v + 126*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = 2*s - 345. Let m = 10 + -2. Solve 0*p - m = -s*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 times -4.9\nAnswer: -450.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 35*s**4\/12 + 23*s**2\/2 + 35*s. What is the derivative of a(l) wrt l?\nAnswer: 70*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.262147 and -3.\nAnswer: -4.262147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:31 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 38 - 26 = 0. Let w be 1 + 0 + (-1 - -5). Suppose 4*x = 2*c + 14, w*c + 14 = 2*x - 5. What is the smallest value in 1, c, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11545120 (base 6) to base 15\nAnswer: -75259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*352\/20 - 6 and 93\/4 + (-8)\/(24\/9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78\/257 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11143 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*j - 24*j + 17*j)*(-j + j + j)*(j**2 - j**2 - 3 + j**2).\nAnswer: -30*j**4 + 90*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 379 and 16.\nAnswer: 6064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 + -23. Suppose -j = -152*z + 149*z. Calculate the remainder when 200 is divided by z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-504)\/(-10 + 7) - -2 and 17?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**2 + 8*t + 5. Let d(l) = 3*l**2 - 5*l - 3. Let o(u) = -8*d(u) - 5*z(u). Factor o(r).\nAnswer: (r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105 + 531133?\nAnswer: 531024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4893)\/241388)\/((-48)\/148)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 76*j + 3599. Give c(109).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 1. Let h be a(1). Suppose -h*s = 2*v - 28, -v - 3*v - 2*s + 54 = 0. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -6) + (1 + -1 - -2) + (117 - 125).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6)*(13 - 13). Let f(x) = -x**3 - x**2. Calculate f(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150492 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47945761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 4*x - 4. Let o(j) = -3*j**2 - 9*j + 9. Suppose 0 + 10 = -5*d. What is d*o(a) - 5*i(a)?\nAnswer: a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-17*j - 61 + 32*j - 13*j)*(0*j**2 + j**2 + j**2).\nAnswer: 8*j**3 - 244*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169465642 to the nearest integer?\nAnswer: 13018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20190 - 30056. Let g = s - -207274\/21. Which is smaller: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 5:57 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-2303886.\nAnswer: -691165.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = l - 3*g - 0, 5*g = -2*l + 16. Let z be (3\/l - 3) + 6. Suppose -19 = -z*u - 5*h, -u - 4*h + 1 = h. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 9:41 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-24))\/(2*(-6)\/24)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*m**2 - 333*m**2 - 107*m**2 + 14*m**2.\nAnswer: -541*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 72 - 147. Let t = d + -36. Suppose -6*j - r + 19 = -4*j, j = 5*r + t. What is the remainder when 25 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35785466 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - 84.39. Let s = 74.39 + -75. Let i = s + q. Do 27 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*r**3 + 210*r**3 + 81*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-185\nAnswer: 55.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -50174.\nAnswer: -5\/50174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1896\/11850)\/(4\/(-30)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from {s: 7, l: 1, p: 2, u: 1, a: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 3*r - 1. Let t be j(-3). Let p = 1 + t. Solve 5*b = 5*u - p - 5, -b - 5*u - 13 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19425*w**2 - 8374.\nAnswer: 38850*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 47148 + 16915. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -2*y - 24, 10595*y - 28 = -3*s - s + 10600*y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146561, -146562, -146563, -146564?\nAnswer: -146565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 19, 70, 4 in decreasing order.\nAnswer: 70, 19, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*q - q - 4*k, 2*q + 3*k = 17. Let d be (4\/(-5))\/(1\/(-5)). Calculate the greatest common factor of d and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - u + 1. Let o(d) = -10*d**2 - 12*d + 9. Let y(z) = 4*o(z) - 36*q(z). Find g, given that y(g) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 5*r + 2. Let c be n(-5). Suppose -c*j - 2*j = -44. Suppose m = -0*m + j. Solve -3*q = -2*h + 9, 5*q + 8 + m = 2*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 25.8. Suppose 0 = 5*j - 0*j + 15. Let q = 2\/15 + -4\/5. What is the nearest to -2\/19 in u, q, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000158903 rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2052 divide 8433335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -8)\/27 - (-8)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttettxtttettte. What is prob of sequence xete?\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1375888 - 974265. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 58 = 11*z. Solve 2*y + 10 = 0, -3 = z*u + 5*y + 32 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 18*z**2 + 12*z - 12. Let s be (5 - 6)*4*2\/8. Let r(x) = -x**2 - x + 1. Let h(y) = s*f(y) - 12*r(y). Let p(w) = 3*w**2. Give -2*h(j) - 5*p(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (-29)\/(-14))\/(-1). Let w be -5 + 6 - 60\/75. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 5*x - 14. Let k be c(2). Suppose -21*b + 90 - 27 = k. Calculate the least common multiple of 25 and b.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2. Let h(l) = 1735*l**2. Give h(t(b)).\nAnswer: 6940*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:08 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 21*m - 225. Suppose -81 + 6 = -m*l. Put 2, l, 12, 5 in decreasing order.\nAnswer: 12, 5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 3. Suppose 0 = -2*a - i*a + 55. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r - 1474. Let v(h) = -2*h - 1457. Calculate 3*a(m) - 4*v(m).\nAnswer: -m + 1406","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47546 by 134.\nAnswer: -23773\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -0*c + 96. Calculate the remainder when 44 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 4*m + 5 - 2, 5*z + 5*m = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252 or -250?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 499459\/30 - 16645. What is the common denominator of (2 - (-160)\/(-108)) + 2 and g?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noggnyg. Give prob of sequence nn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1893 divided by -22?\nAnswer: 1893\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 35. Let p(s) = -4*s - 104. Let g(l) = -4*p(l) - 11*v(l). What is the tens digit of g(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f**2*k - 3*f**2 - 374*f*k - 2*f - 15171*k - 1 wrt f?\nAnswer: -2*f*k - 6*f - 374*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 21.9?\nAnswer: -16.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 220, -1\/2, -0.202?\nAnswer: -0.202","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.5, -386, 1, -0.1, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 7*s**2 + 9*s - 11. Let f be m(8). Let n be (8\/4)\/(f\/(-6)). Let r be (4 - 3)\/1 + n. Solve -2*a + 12 = -4*c + 28, -r*c + 7 = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187734 is divided by 2346?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 915 >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 9*a + 2, -8*u = 3*a - 7*u - 10. Suppose -32 = -2*z - 5*o, 7*o = 4*z + a*o - 64. Which is smaller: z or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -22*x + 3308. Let i = x + 80. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*r**2 - 26461*r + 27220*r - 21*r**2 in the form m + v*r + z*r**2 and give v.\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 106675?\nAnswer: -106670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*n = -2*n - 12, 0 = 4*n + 4. Let l be 5\/20 + a\/(-4). Solve l + 0*z - 3\/4*z**2 = 0 for z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 95*h**3 - 7*h**2 + 3347*h - 4400633 wrt h.\nAnswer: 285*h**2 - 14*h + 3347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2085 - -0.4211. Let j = l + -0.21. What is j rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60 - 1 - 0\/(-2). Suppose -k + 96 = 3*o, -k - 2*o + 150 = j. What is the remainder when k is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 15 - 51)*(3*d**3 - 3*d**3 - d**4) + 4*d**4 + d**4 - 3*d**4.\nAnswer: 58*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 12\/9)\/((-28)\/294). Suppose 22*z = v*z + 124275. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 1079*c**4\/24 - 5*c**3\/3 - c**2 + 13. Is o(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.015154658 + -94.210910658. Let a = i + 94.2. What is a rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41\/(1394\/(-51)))\/(6\/(-16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - 1*(sqrt(35) - sqrt(35)*1))\/(sqrt(175) + (sqrt(175)*-1 - sqrt(175))).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.94, 1\/11, 4, 5, -2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-5 - -9 - 7) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/59351 + -292778423\/890265. Let m = k + 329. Let c = -0.5 - 4.5. What is the nearest to 0.1 in -3, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + -2)**2 + -1*(sqrt(119)\/sqrt(7))**2 + (sqrt(204)*1)\/sqrt(12) + sqrt(833) + sqrt(17) + 4 + sqrt(17).\nAnswer: -30*sqrt(17) + 1691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 1 + 2. Let b(x) = 10*x + 2. Let d be b(-3). Let t be (2\/d)\/(n\/(-6)). Sort -2\/3, 2, t in increasing order.\nAnswer: -2\/3, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + sqrt(5) + 2*(sqrt(5) + -2) + (sqrt(5) + sqrt(360)\/sqrt(8))*-2)**2.\nAnswer: 90*sqrt(5) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/69157 and -18\/16302191.\nAnswer: 179324101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 12 = -15. Let b be v\/(-20) + (-1)\/(-4). Let q = 4.3 + -4. What is the second biggest value in 1, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.54 less than 6661.59?\nAnswer: 6664.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 635276776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6*36\/2106*1*(-9)\/(-2)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 539\/(-42) + (-2)\/(-2 - -14).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1189.2 + -1188. Which is the fourth biggest value? (a) 0.3 (b) -5\/2 (c) -5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-3*v**4 - 12*v**4 - v**4) - 3*v**3 - 2*v**4 + 3*v**3.\nAnswer: 30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-7))\/d*d*d**(-1\/11))**(5\/11))**(-2\/65) assuming d is positive.\nAnswer: d**(-174\/1573)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11*b**2 - 18 - 16 - 15 + 49. Let o(j) = 63*j**2. What is x(o(v))?\nAnswer: -43659*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.025 + -0.025. Let z(b) = b**2 - 6*b + 7. Let q be z(5). Let u be 2\/q*4\/(-3). What is the nearest to 0.04 in o, u, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - (3 + sqrt(684)*-1) - sqrt(684)) + (1*(0 + sqrt(684)) - sqrt(684)) - (-1 + sqrt(684))*-4*-6)**2.\nAnswer: -5796*sqrt(19) + 362277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.659406716 - -401183?\nAnswer: 401182.340593284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1584316*c**3 + 7073105?\nAnswer: -4752948*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = -447 - 411 + 698 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6060001, 6059989, 6059977?\nAnswer: 6059965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Put -4, -2, -2\/7, b in descending order.\nAnswer: b, -2\/7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -39*g**5 + 750*g**4 - 3291*g**3 - 3180*g**2 + 900*g = 0.\nAnswer: -1, 0, 3\/13, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2231655 divided by 446331\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d. Let t(c) = -24*c. Let f(r) = -11*b(r) + 2*t(r). Let k(y) = y**2. What is k(f(x))?\nAnswer: 49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196916 (base 10) in base 6?\nAnswer: 41353140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182098409 divided by -3?\nAnswer: 394032803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (4 - 11 - -3 - -5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.103 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1196*j - 575. Let k(p) = 21*p - 10. Let y(v) = -2*h(v) + 115*k(v). Let w(s) = 27*s**2. Determine y(w(d)).\nAnswer: 621*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**3 + 3*o**2 + 8*o**3 - 9*o**3 + 3*o**5 - 3*o**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p - 1. Let i(f) = -4*f + 3. Suppose 3*n + 15 = 0, 3*n = -2*c - 5 - 4. What is c*i(s) + 5*g(s)?\nAnswer: -2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165 + -162. Solve 0 = -4*i + f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**5 + 451*t**4 - t**3 + 5*t**2 + 174587*t?\nAnswer: 60*t**3 + 5412*t**2 - 6*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = -16 - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.91136455 rounded to three decimal places?\nAnswer: -3.911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**5\/60 - r**4\/8 - r**3\/2 + 3*r**2. Let a = 2 - 4. Calculate y(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**6\/360 + 3*s**5\/40 + s**4\/2 + s**3\/3 - 4. Let l(p) be the third derivative of x(p). Let n = -1078 + 1089. Determine l(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**3 + l**3 + 6*l**3)*(-16*l - 7*l - l) + (-l**3 + 0*l + 0*l)*(0 - 2*l + 0).\nAnswer: -334*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1101 - 1098. What is the closest to 0.1 in m, 0.4, 123\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-120)\/9)*10\/(((-83895)\/34)\/(-47))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-988)\/16 + ((-12)\/(-16) - 2). Let r be (-119)\/(-51)*(-3 - 195\/f). Is r at least 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61910045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u - 1 + 2*u - 7*u. Let o be s(-1). Suppose o = 2*r - 2, -c - 2*c - 3*r + 108 = 0. Solve z - 3*q = -z + 9, -4*q - c = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + -2 + (sqrt(44) + (sqrt(44) - sqrt(3564)))\/sqrt(4).\nAnswer: -sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 7:50 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37943, 37246, 36091, 34484, 32431?\n\"Answer: m**3 - 235*m**2 + m + 38176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 210*n**3 - 5*n**2 - 19*n + 65. Let s be o(3). What is the highest common divisor of 393 and s?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13113622?\nAnswer: 2, 1831, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4680749, -4680739, -4680729?\n\"Answer: 10*l - 4680759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -315, 4, 88, -5.\nAnswer: -315, -5, 4, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 10 = -25. Suppose -h*w + 50 = -55. Suppose w*b - 23*b = -370. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 7\/(-9) + 595\/765. Let v be m\/(-2) + 35\/10. Suppose 3*i - 5*j = -0*i + 27, -2*i - v*j + 37 = 0. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 10:10 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.768 + 0.768. Which is the nearest to f? (a) -2 (b) -1\/2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.16 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -1\/8*w**8 - 7\/12*w**4 + 0 + 0*w**5 + 0*w**6 + 0*w**2 - 3*w + 0*w**3 + 0*w**7. Find the third derivative of s(d) wrt d.\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 0, 3*b = c - 3 - 7. Suppose 0 = 4*l + c*l - 70. Suppose -l*k + 9*k = 304. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 491795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 8*v = -3*v - 3, 4*a = 3*v + 12. Solve 5*g = 3*b - 30, b + g - 11 = a*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 5*i**4\/12 - 37*i**3\/3 - 26*i**2. Let w be c(7). Let u be (-89)\/((-1)\/w*2). What is u rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2267*u + 40 = -5*x + 2272*u, 2*x = -u + 21 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -120256451 (base 7) in base 12?\nAnswer: -25b9018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*o = 7616 - 8274 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = 8. Let y(l) = -l**4 + l - 1. Let n(w) = -7*w**4 + 5*w - 1. Let k(t) = c*n(t) + 5*y(t). What is the first derivative of k(i) wrt i?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*((-28)\/(-5) + -4). Suppose -52 = r*y - 12*y. Differentiate -b + y*b + 1 - 7 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118 - -165. Let f(l) = -l**3 - 9*l**2 - l + 3. Let k(n) = -n. Let r be k(9). Calculate the remainder when y is divided by f(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*g - 5187 = 893 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*g + 3*g**2 - 7*g**2 + 187*g.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2*d + 3 - 28, q = -5*d + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 31 + 7. Suppose 0 = r - m, -r + 17 = 2*z + 6. Suppose -4*s + 195 = z*w - 9, 5*w = -3*s + 257. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + k = -1413, 0*o - 628 = -4*o + 5*k. List the prime factors of o.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 120*k**4 - 2*k**2 + 3 - 54*k**4 - 54*k**4 + (k + 2*k**2 - k)*(7*k + k**2 - 7*k).\nAnswer: 14*k**4 - 2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -434537601.3 to the nearest one hundred thousand.\nAnswer: -434500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -7*d**3 + 3 + 0*d - 27\/2*d**2. Find the second derivative of c(f) wrt f.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-65) - 72\/(-130). Let o = -9.4 + 9.2. Which is the nearest to 1? (a) o (b) 3\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1670413*v**3 - 127 + 1334 - v + 1670409*v**3 - 594*v**2 wrt v.\nAnswer: -12*v**2 - 1188*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.66, 4\/7, -916, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f + 3. Let i(x) = -24*x + 14. Suppose 4*h - 20 = -r, 3*r - 31*h + 27*h - 92 = 0. Give r*n(l) - 6*i(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 3*f**2 + 2*f**2)*(-5*f + 5*f - 4 + 3*f).\nAnswer: -3*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 306209b?\nAnswer: 3062097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12398 is divided by 4116.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = 4*i. Suppose -i*m = 4*n - 644, n + 4*n - 806 = -3*m. Suppose -5*g + g + n = 0. Calculate the greatest common factor of 100 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -29*o**8\/56 - o**7\/42 - 1541*o**4\/12 + o**3\/3 - 2*o - 4049. What is the third derivative of i(g) wrt g?\nAnswer: -3480*g**3 - 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, t: 3, w: 3, f: 4}. What is prob of sequence wtx?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + -9 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 8:11 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 18. Let d be j(13). Let o be (-2)\/2*-1*1. Which is the closest to 0.1? (a) o (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0454808 rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 966 + 8848.\nAnswer: 9814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 878 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*n = 242*n - 15. Suppose n*u + 21 = 3*x - x, -3*u - 15 = 0. Sort 4, x, -10, -4.\nAnswer: -10, -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 9*h + 23. Suppose -j - 2*r = 2*j - 24, 0 = -5*j + r + 27. Let u be o(j). Suppose -u*c + 30 = -3*x, 2*x + 10 = c - 3. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 - 84. Let k(s) be the first derivative of 2 + 0*s - 7\/2*s**p. Let n(m) = m**2. Give k(n(c)).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 423473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 498429189360 - 498434126143.00046. Let z = c - -4936828. Let n = z + -45. What is n rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105 - -6 - -29) + 26\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c3a3 + 3?\nAnswer: -c3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + 5*d - 3. Let w be h(5). Suppose -3*b = b - 216. Let f = b + w. What is the greatest common factor of f and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9700056*a + 8699185?\nAnswer: 9700056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8263744+-7.705\nAnswer: -8263751.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1668)\/(-15) + (-232)\/10.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 47840, 5, -68, 4, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 511665 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -1\/952, 4\/9, -0.3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -382667, -1530722, -3444137, -6122906, -9567023?\nAnswer: -13776482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1786 = -2*d + 1144. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96345486?\nAnswer: 2, 3, 149, 35923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 5*s**2 + 5*s - 4. Let i be u(-6). Let h = 7 - 7.2. What is the third smallest value in h, i, 1\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2256 = -321*w + 313*w. Let j = 323 - w. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlddsddcsf. Give prob of sequence fss.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 10:01 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6 times -18886?\nAnswer: 49103.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*i**3*r - 982*i**3 + 11340303*i*r**3 - 6166*i wrt r.\nAnswer: -9*i**3 + 34020909*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11)\/(h\/h**(2\/7)))\/(h**(-4\/5))**(2\/75) assuming h is positive.\nAnswer: h**(-30694\/2625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12200 + 11013?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8693596 is divided by 2585?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + 63*o + 39. Calculate x(32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 23 = -3*m, -q = -3*m - m + 16. Solve -2*l + 4*x - 16 + 4 = 0, q = 4*l - x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(272) + 2 + sqrt(425))**2 - sqrt(153)\/(sqrt(18)\/sqrt(2)*-2 + sqrt(9)))*-5 + 1.\nAnswer: -14384 - 265*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*w + 18*w - 51176 + 51183 to the form b + f*w and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, 219, -0.2 in decreasing order.\nAnswer: 219, 2, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhigheiehoheeohhhoh. What is prob of picking 3 e and 1 h?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkfvmfikkbkbmkm. Give prob of picking 1 b, 1 i, and 1 v.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -9. Suppose -q*y - 5 = -10*y. Is (-3 - y*-4)*58 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3521825 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6941704 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 62*q - 59. Let j be a(-61). Solve -d = g + j, -8*g + 13*g - 4*d = -28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 6*a - 6. Let y be c(-4). Let p be (-9 + 7)\/(-2 + 12\/8). Suppose -3*r - y*z + 477 = 2*z, p*r - 617 = z. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 150.28 to zero decimal places.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = 1530 - 1948. Solve 24 = -w*l + 14*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 336 + -3020\/9. Let s = 0.9277 - 0.9077. Let y = 3 - 1. Which is the biggest value? (a) s (b) k (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32013380 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 945*n + 1639 wrt n.\nAnswer: 945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1029 - -1028.9593. What is m rounded to 3 dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 213\/72 - (0 - 2). Let n(v) be the second derivative of 0 + h*v**4 + 0*v**2 - 4*v - 1\/12*v**3. What is r in n(r) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 17*o**2 + 6*o - 8. What are the prime factors of d(16)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znnnzn. Give prob of sequence znnz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 12 - (46 + -103) - -9.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-3 + 11)\/((-3)\/44)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 0.04, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -2*l - 215. Calculate the highest common divisor of l and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4363927911?\nAnswer: 3, 7, 107, 647371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 53, 78, 107?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + i + 90 = -0*i, 5*g - 2*i - 90 = 0. What is the greatest common divisor of g and 7596?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 1. What is the third biggest value in -0.5, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (12 + (-14 - -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -3, 4, 9, 3.\nAnswer: -3, -2, 3, 4, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24678252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = n + 4*k - 13, 16 = 4*n + 4*k. Suppose 10 = -4*u + 5*w, 5*u - 3*w - n = -7. Solve 2*a + 2*a - 12 = 0, -5*r + 4*a + 13 = u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-9 - -16) + -23 + 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23545900 to the power of 1\/2, to the nearest integer?\nAnswer: 4852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 58 = -72 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -303 (b) 1\/2 (c) -0.4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 21*r**2 - 3*r + 13. Let h(v) = 41*v**2 - 5*v + 26. Let p(g) = -3*h(g) + 5*j(g). Differentiate p(y) with respect to y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11651920 or 11651919?\nAnswer: 11651920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-26)*-22 - (-34)\/221?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x = 38*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i - 9 + 20 - 12. Let o be r(1). Which is the closest to o? (a) -1 (b) 1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15728*i**2*q**3 + 26*i**2*q**2 + 9*i**2*q - 4450*i*q - i - 2*q**3 + 2 wrt q.\nAnswer: 94368*i**2*q + 52*i**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4814 + 17037. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5310 = 41*y. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**2 - m**2 + 0*m**2 + (-5*m + m + 2*m)*(m - 3*m + 0*m) - 5*m**2 + 2*m**2 - m**2 + 29*m**2 - 15*m**2 - 19*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(35) - sqrt(105)\/(sqrt(3) + sqrt(243)))\/(sqrt(80)*6 - sqrt(5)).\nAnswer: 9*sqrt(7)\/230 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 108, 0, -5, 4, 83, -3 in increasing order.\nAnswer: -5, -3, 0, 4, 5, 83, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grngdvggrrii. Give prob of picking 2 r, 1 g, and 1 n.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x. Let m(f) = 139*f**2 - 30 - 47*f**2 - 45*f**2 - 35 - 48*f**2. Calculate m(i(v)).\nAnswer: -16*v**2 - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 131891671*r**3 - 2*r**2 + 560435539.\nAnswer: 395675013*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 83 = 5*y, 3*y + 45 = 39*b - 44*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -33*-0.1041\nAnswer: 3.4353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -34876130 rounded to the nearest one hundred thousand?\nAnswer: -34900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d1c6 + 144?\nAnswer: -d082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 5:07 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + f - 1. Let m(n) = -6*n**2 - 14*n - 2. Let h(j) = -2*k(j) - m(j). Factor h(u).\nAnswer: 4*(u + 1)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7120, -7122, -7124, -7126, -7128, -7130?\nAnswer: -7132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 320 and 1260?\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + h - 2*h + (-h - 2 + 2)*(5 - 3 + 0) - h - h + 0*h + (44 - 44 + 17*h)*(-3 + 1 + 1)*(3 + 3 - 7) in the form x*h + o and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2\/(-3))*29274\/(-6273). Sort -4, 2, 192, -3, g.\nAnswer: -4, -3, 2, g, 192","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.991194 litres?\nAnswer: 4991.194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-6936)\/(-16))\/51)\/(1\/2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928110.5 litres to millilitres.\nAnswer: 928110500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(833) - sqrt(833)*-1)**2 + -5 - (sqrt(833) - (-2 + 1*sqrt(833))**2)) + -5).\nAnswer: -16636 + 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*r + 2. Suppose -r*s + 16 = 1. Let v(i) = i**3 - 6*i**2 + 7*i - 7. Is v(s) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190\/3 + -1171\/21. Find the common denominator of -123\/10 and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/20 - 24\/(-10). Suppose o*u - 2 = u. Is (-3715)\/(-9) - u\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3320437 (base 8) in base 13?\nAnswer: -25373b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 9*v - 4. What is the smallest common multiple of 8 and g(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 (base 13) in base 10?\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 5*o**4\/2 - 4*o**2 + 10. What is the second derivative of h(m) wrt m?\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1182 = 4*a + 1162, 0 = 2*d + 4*a - 22 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4087343 is divided by 1362365.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + i + i**2 + (-2 + 0 + 0)*(3*i**2 - 4*i**2 - i**2) + 3*i**2 + 6*i**2 - 6*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 4*o + 48. Suppose a - 540 = 5*a. Let y be (-18)\/a - (-4)\/(-30). Is h(y) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 4:33 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 34 + (504 - 507).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) -3 (c) 5\/4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*u - 114*u + 2464187. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-392)\/(-280)*10\/28.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -11 - (39 - (5 - 11 - -13))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -46*m**3 + m. Let c be v(1). Let q = 296 + c. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**9\/18144 - j**8\/2520 + j**7\/1680 - j**3\/6 - 41*j**2\/2 - 30*j + 2. Let g(b) be the second derivative of y(b). Factor g(d).\nAnswer: d**3*(d - 3)*(d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2. Let x = 16 - 6. Let j(y) = -9*y**2 + y - 6*y**2 + 4*y + x*y**2. Determine o(j(c)).\nAnswer: -25*c**4 + 50*c**3 - 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13*(-80)\/936)\/2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.07 (b) 5 (c) 1 (d) -104 (e) 0.4 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1281 and 8.\nAnswer: 10248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37443462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*o, -u - 5*o = -12 + 32. Let b(v) = -v**2 - 4 + v + u*v**2 + v**2 + 2*v**2. Is b(4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 45 = -a, 2611 - 2506 = -7*m - 2*a for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 2 = 3*j - 47, -4 = 2*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48580, -97163, -145754, -194353, -242960, -291575?\nAnswer: -340198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-3*(-2)\/6. Let y be 10\/4*(b - 3). Is 5 a factor of (1 + 0)\/((-1)\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -0.4 (b) -0.3 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + o + 3 - 13, 2*o = -2*h + 4. Suppose -3 = -m, 3*k + m + h*m = 27. Suppose -d + 13 = -k. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*g + 22*g**3 + 47*g - 166*g.\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -299326977 to the nearest 10000.\nAnswer: -299330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4240 is divided by 872.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 4*x + 3. Let l(z) = -1. Determine c(a) + 4*l(a).\nAnswer: a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2869*p. Let w(i) = 382*i + 1. Determine w(s(g)).\nAnswer: 1095958*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 28*o**2 + 23*o + 23. Let w(p) = 9*p**2 + 8*p + 8. Determine 6*m(z) - 17*w(z).\nAnswer: 15*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 3*g - 3. Let c = 2 + 0. Suppose 3*q + c*q - 5 = 0. Let w be q + (1 - 3) + -2. Calculate d(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 54760210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*z - 38*z + 34*z to the form u + n*z and give n.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/10791 and -43\/308?\nAnswer: 302148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 18*o**2 - 14*o - 66. Let u be x(19). Suppose -n - z - 2 = -u, 3*z = -5*n + 131. Solve 2*v + 4*k - 5*k = 15, -4*v + k = -n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 65 = -5*a, -4*a - 49 = 3*f - 2*f. Let p be 6\/28*a\/(-9). What is the nearest to 1\/2 in 3\/2, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.2 + 1.2. Let z = o + 8. Which is the biggest value? (a) z (b) -0.5 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y. Let t(z) = 258*z**2. Give t(k(h)).\nAnswer: 1032*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-222)\/(-11) + 4\/(-22). Suppose 0 = d + 2*z + z + 13, -5*d = -3*z + 47. Let a = d + i. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -14*z - 58. What is the hundreds digit of n(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390403 divided by -6617?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 4*u + 7. Let a be n(5). Solve -9*m = a*m + 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*y = -z - 87, -3*y = -3. Let g = 72 - z. Suppose k = 207 - g. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 + (5 - 2) - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkwwwwkwkwwkwwwk. Give prob of sequence wkkk.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4 + 2 = k, -2*c - 2 = 0. Find the second derivative of -6*h + 11*h + 5*h - 10*h**3 + 8*h**k wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 32, 61, 96, 137, 184, 237?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -177, -495, -813, -1131?\n\"Answer: -318*n + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + 6*(sqrt(320) + -3*sqrt(320)) + sqrt(320))*-3)\/(sqrt(60)\/(sqrt(6)*1*-5))*5.\nAnswer: -3000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -124800*g + 124802*g + 14, 5*g = 3*u - 29 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p + 29*p = -3*q, p + 12 = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 7:07 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -16. What is the greatest common divisor of n and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) 1.5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3\/4, -5.9144 in ascending order.\nAnswer: -5.9144, -1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23.6 + 12.8. Let l = 11 + a. Put 2\/7, l, -2\/7 in decreasing order.\nAnswer: 2\/7, l, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/3 + 14*v**4\/9 - 70*v**3\/3 + 50*v**2 - 356*v\/9 + 32\/3 = 0. Calculate v.\nAnswer: -8, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-471 + 471 - 729*q**3)*(1 + 2 - 2)*(1 + 1 - 3 + (-2 - 1 + 2)*(-2 + 0 + 3) + 4 - 1 - 2).\nAnswer: 729*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 2*x - c = -31, 14*x - 7*x - 246 = 5*x + 126*c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m**(1\/4)*m*m*m*m)\/m))\/(m\/(m**(-2\/19)*m)))\/(m**(-1\/3))**6 assuming m is positive.\nAnswer: m**(-27\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 5 + 5 - 515*b**2.\nAnswer: -515*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1638 + 2309. What are the prime factors of f?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79402311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (6 - ((6 - 7) + 6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -388?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 7615*r**6\/6 - 715*r**2\/2 + 8698. Find the second derivative of m(o) wrt o.\nAnswer: 152300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or -2692?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 11452, 76 in decreasing order.\nAnswer: 11452, 76, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3127?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3 - 1\/3*z**2 - 1\/3*z.\nAnswer: -(z - 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = -5. Suppose -2 = -x*k + 3*k. Let b be (-4)\/k - (-1 - -2). What is the second smallest value in -0.2, b, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3298*z - 26404. Give p(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 21855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o = 45. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00195674554 rounded to 7 decimal places?\nAnswer: 0.0019567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14587)\/232 + 23\/8 + -3. Put 0, 3, n, 5 in decreasing order.\nAnswer: 5, 3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - 4*d**2 + d**2)*(-d + 0*d + 0*d) - d**3 + 5*d**3 - 5*d**3 + 26*d**3 - 115*d**3 + 63*d**3 - 8 + 24.\nAnswer: -29*d**3 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**7\/735 + 8*p**6\/105 + 29*p**5\/70 - p**4\/21 - 116*p**3\/21 + 9*p**2 - 14*p. Determine j, given that y(j) = 0.\nAnswer: -29, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2, -9*z + 6*z = -3*n + 21. Let k(u) = u**2 - 6*u - 11. Calculate k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3 + 80*u**2 - 1651*u + 10140 = 0.\nAnswer: 13, 15, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 177, 262, 351, 444, 541, 642?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 18 = 22*b. Suppose -v + 13 = -5*i, 0 = 3*i + 2*v + 2*v - 6. What is the closest to b in -5, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 8*k**2 + 4. What is z(-9)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 97. Solve 5 = d*z - z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/42, -0.038, 3, 1?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 684.7335 days?\nAnswer: 59160974400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5304 - 1003 = -237*f - 856 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 6. Suppose 2*c + 2*a - 9 = -c, 0 = -2*c - a + 5. Calculate the smallest common multiple of x(-5) and ((-5)\/2 - c)*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -784, -3135, -7052, -12535, -19584, -28199, -38380?\nAnswer: -50127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w + 3*u, -31*w + 5*u + 15 = -28*w. Sort w, -46, -12.\nAnswer: -46, -12, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1229 + 1239. Suppose 0 = 2*u - 5 + 1, u = 2*i - 2. Calculate the least common multiple of n and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66875736 and 6392?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1139\/52 + 470\/13. Let s be 3\/6*(0 - -2). What is the common denominator of (-153)\/66 - s\/2 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*z + 8 = 302*z. Suppose 0 = 3*n - 15, 5*q = 8*q + z*n - 2713. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 64 - 65 - 969*v**2 + 190.\nAnswer: -969*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 291728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:03 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4)\/(7\/(-14)). Let m be o\/(-12)*(-13 - -5). Solve n = -m*n - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 plus -42?\nAnswer: -42.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-63)*-1)\/(13\/91)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/21 and 11\/96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2073, 2073, 2081, 2103, 2145, 2213?\n\"Answer: s**3 - 2*s**2 - s + 2075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1986 + 2803. What is the greatest common divisor of 57 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266040*p - 49 + 49.\nAnswer: -266040*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7229, -14451, -21677, -28907, -36141, -43379, -50621?\n\"Answer: -2*a**2 - 7216*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -156332 - -22242?\nAnswer: -134070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 314 + 406 + 315 + 4448*t - 78 - 192 wrt t?\nAnswer: 4448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3 + 270*o**2 + 25628*o + 74400 = 0. Calculate o.\nAnswer: -62, -3, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13213 plus -0.1716?\nAnswer: 13212.8284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from vvzazvzlvzanzvv?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (316\/(-410))\/((144\/(-20))\/9) and -39\/22.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppj when three letters picked without replacement from {p: 2, j: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226160 (base 7) to base 13.\nAnswer: 15605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/30 and 51\/1210.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, -5, -63, -121, -179, -237?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36457581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = h + m, 1 = -4*m + 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 293, 1131, 2585, 4715, 7581, 11243, 15761, 21195?\nAnswer: 27605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 269*t - 2 - 269*t**2 + 271*t**2 - 481*t in the form l*t**2 + s + k*t and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/198)\/(59\/(14927\/23))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -342554 + -1244?\nAnswer: -344242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 17561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -36. Find the common denominator of -87\/16 and (-318)\/80 - (-21)\/j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 - -0.9. Sort 2, -0.3, m in decreasing order.\nAnswer: 2, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by 80\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 39.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*l**4 - 2*c**3 - 239*c*l**2 - 213*l**6 wrt l.\nAnswer: 24*c**3*l - 25560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/20*-5*9\/((-315)\/(-40))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbvbdbbdb. What is prob of picking 3 d and 1 v?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 8123384.\nAnswer: 9\/8123384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2977 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 356*c**2*d**3 - 2*c**2*d**2 + 2*c**2*d + 72*c*d wrt d.\nAnswer: 2136*c**2*d - 4*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) 2 (c) -2\/102039\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526 is divided by 516.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 12*l**2 + 6*l. Let s be f(-4). Which is bigger: 169 or s?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 - 2 + 2)*(-60150 + 376*n**3 + 60150).\nAnswer: -1504*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 144 (b) 9 (c) 0.1 (d) -0.2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8496276, -8496269, -8496258, -8496243, -8496224?\n\"Answer: 2*q**2 + q - 8496279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -211220 (base 3) to base 15\nAnswer: -2b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Suppose 5*p + 4*r - 10 = 0, -2*p + 4*r + 17 = i*r. Suppose 2*a + p = 2*x, -2*a - 10 = -3*x - x. Solve 0 = 2*m + x*t, -24 = -m - 0*m + 5*t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 1, p: 2, e: 1, d: 1}. What is prob of picking 1 d and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.126.\nAnswer: -0.0378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/607?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/29 (b) -2.34 (c) 33.068\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2 + 10*d + 1. Let u(h) = -2*h + 1. Let w be u(2). Let g(z) = -2*z**2 + 9*z + 2. Let v(t) = w*r(t) + 4*g(t). What is v(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3278*r - 7088*r + 1759*r.\nAnswer: -2051*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = 2*p, 0 = -0*p - 2*p + 5*h - 10. Suppose -3*i - i + 2 = 2*n, p*n = -15. Let q(y) = 0*y - i*y + y + 2*y. Let f(j) = -j. Determine q(f(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -0.6. Let d = -0.361682 - 0.038318. What is the closest to 12 in -2\/11, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 3. Let h(o) = o**3 - 6*o**2 + 6*o - 3. Let a be h(m). Suppose -7553 = -a*u + 7247. Round u to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (-7 - -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*b + 15 + 14, -21 = -3*b - 2*p. Suppose -5*t - 119 = -b*k + 136, 3*t = 5*k - 245. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1329 - 916. Suppose -5*h + j = -87. Let i be (-1 - -57001)\/((-1)\/h). Round i to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1080*((-272)\/24 + 14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 7 + 3 - 4. What is the common denominator of -11\/4 and 67*(5\/20)\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108338 is divided by 13070.\nAnswer: 3778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let f(y) = 4*y + y - 2*y + 2*y. What is h(f(p))?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -13. Let x = 4 - k. Which is the third smallest value? (a) x (b) -2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -458, -817, -1430, -2297, -3418, -4793, -6422?\n\"Answer: -127*d**2 + 22*d - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, m: 1, c: 3, w: 1, x: 2}. What is prob of picking 1 w and 2 e?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6 + 0*f**2 - f**2 + 2264*f - 2258*f. Calculate l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106897 - 116557 = 230*k for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/9 - 3380\/(-18). Suppose n = -4*i + 8*i. What is the remainder when i is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 46, 137, 348, 727, 1322, 2181, 3352?\n\"Answer: 8*l**3 - 12*l**2 - l + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 11 = -3*q - 50, -v = -2*q - 26. Sort 5, q, 3 in descending order.\nAnswer: 5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 674338358 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021212110 (base 3) in base 12?\nAnswer: -12863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -3*q**5\/2 + 14*q**4\/3 + 20*q. What is the third derivative of c(k) wrt k?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 460, 764, 1068?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**5*y - 45*o**3*y - 21*o**2*y - o**2 + o*y wrt o.\nAnswer: -120*o**2*y - 270*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -54113 divided by 5\nAnswer: -54113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.310151 milliseconds?\nAnswer: 5310.151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhihhhhiccihhhh. Give prob of picking 1 c and 2 h.\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/19)\/z**(-1))\/(z**(-15)*z**4) assuming z is positive.\nAnswer: z**(226\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.2 - 4. Let s be 3\/(-4) - (-5 - (-847)\/220). What is the smallest value in s, -0.3, w, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 - 98*r - 151. Calculate the remainder when 315 is divided by l(-22).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2023288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyppjppyy. What is prob of picking 2 p?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 5*p + 23. Let k(w) = w**3 + 8*w + 35. Let j(n) = -5*k(n) + 8*r(n). Find the first derivative of j(o) wrt o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-42)*(-1)\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-13) + 0)\/((-316)\/(-3994 - 114)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.39 from 0.021.\nAnswer: -0.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s - 26. Let o be k(-6). Let x = o - 10. Find the third derivative of -2 - 4 + 33*f**3 - 35*f**2 + x wrt f.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11124349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 30?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 5626 = -79. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 7:21 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(28) - sqrt(168)\/(-2*sqrt(6))))\/((sqrt(480)\/(sqrt(36)\/sqrt(3)) + sqrt(40))\/sqrt(10)).\nAnswer: -15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/20 + z**4\/12 - z**3\/6 + z. Let w be (6\/9)\/((-2)\/6). Does 7 divide p(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 21*x**2 + 9*x + 23. What is m(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -49?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + (-140 + 118 - (-10 - 4)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000030136 rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1705 and 4231810?\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.07, 43, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378 and 1358073?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000389879 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - 71. Let x(c) = 4*c**2 + 6*c + 17. What is the hundreds digit of x(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 72*w - 65*w. Solve x - 2*x - 11 = 5*v, w*v + 5*x - 11 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -279 + -821. Round o to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370444 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 4644.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 10. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 500 + -467. Let k be 1 + ((-96)\/(-20))\/(-6). Which is the smallest value? (a) 4\/7 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 177*t + 2127. Calculate l(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 17 + 7*d + 5*d**2 - 26*d - 8 + 11. Let z(n) = -5*n**2 + 18*n - 20. Let y(v) = 7*b(v) + 6*z(v). Solve y(k) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 - -0.86. Which is the nearest to 0? (a) 2 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46, -98, -152, -208?\n\"Answer: -l**2 - 49*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14288333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*z + z - 22, 0 = b + 4*z + 14. Let j(u) be the first derivative of -u**2 + 4. Give j(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 40, 107, 212, 361, 560, 815, 1132?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s - 6 - 12*s**2 + 6*s**3 + 9 - 25. Let m(y) = 2*y**3 - 4*y**2 - 3*y - 7. Let b(g) = -2*h(g) + 7*m(g). Does 15 divide b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*z = 4, 2*w + 0*z = -3*z + 6. What is the lowest common multiple of w and 836?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a4 (base 15) to base 13\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x + 30 = 246 - 34 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0115 * 4\nAnswer: -0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r - 40 + 3*r - 9*r + r**2 + 15*r + 2*r**2. What are the prime factors of w(-15)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3263 + 1103 = -5*j. Is 4 a factor of j\/63 + 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837009 is divided by 52312.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**7\/840 - t**5\/40 + t**4\/12 - t**3\/3 + 6. Let f(v) be the third derivative of i(v). Let s = -11 - -13. Determine f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 702759311?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-10)\/(-250))\/(3\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 250*d + 10895. Is q(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6*j - 2*j - 22339*j**2 + 0.\nAnswer: -22339*j**2 + 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -38 + 19 + 7*l - 7*l**2 + 14 + l**3. Let g(a) = -a - 2. Let f be g(-8). Calculate x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5129959 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 + 3 - 3*z**2 + 16*z to the form t*z + f*z**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 35*q - 120. Let s(t) = t - 4. Give s(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 266310*c**3 + 5*c**2 = 0?\nAnswer: -1\/53262, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4d2f (base 16) to base 10\nAnswer: 19759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(525*c + 124*c**3 - 525*c) + (-c**3 + c**3 + 2*c**3)*(0 - 15 + 35).\nAnswer: 288*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -6. What is the first derivative of z*n - 7*n + 3*n**3 + 3 wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhxdxqjjjxha. What is prob of sequence hdq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4 + 6*m**3 + 4*m**2 - 24*m = 0. Calculate m.\nAnswer: -2, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*o - 75 = 0, 0*x = 5*x + 5*o - 145. Suppose -z + 3*t + 12 = 0, 0 = 3*z - t - 1 - x. Is 4907*1\/z + 4\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -179*h - 2685. Let j be a(-15). What is the third biggest value in 0.06, 1, j, -2\/63?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/8 - -17) + -17 - -16?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/13 - (-291192)\/52. Round w to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 7*m**3 + 2*m**2 - 60*m + 72.\nAnswer: -(m - 6)*(m - 2)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 95941480*f**2*j**2 - 4147499*f**2 - f*j**2 + 11*f wrt j?\nAnswer: 191882960*f**2*j - 2*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24691, 98918, 222625, 395812, 618479?\n\"Answer: 24740*n**2 + 7*n - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) -0.4 (b) -0.1 (c) -9\/2 (d) 1\/7 (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -116? (a) 1\/7 (b) -125 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4266.631mm?\nAnswer: 4266631000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. Let b = -4.06 + 4. Let a = b - 1.94. Which is bigger: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - 1*(-1*sqrt(70) - sqrt(70)))\/(2*4*sqrt(10)).\nAnswer: 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9987?\nAnswer: 3, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + -5)*3\/(-9). Let t be -2 - (-2 + 0\/y). Suppose -j + 141 = -t*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310910 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 8. Let g(r) = -s + 4 + 1 + 5*r - 3. Calculate the remainder when g(9) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21175353 is divided by 1764612.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-534)\/4)\/((-4)\/40). Is u\/25 - 4\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5155 is divided by 858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) - 1158\/63. Let k = 18 + t. Let y = 0 + -0.2. Which is the smallest value? (a) -2\/21 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*v + 415 = a, 4*a - 335 = -3*v. Round a to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 684, -74, -1374, -3210, -5576, -8466?\n\"Answer: d**3 - 277*d**2 + 66*d + 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120412 (base 5) to base 8.\nAnswer: 10602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -19. Let u(i) = -i + 6. Let k be u(z). Let p(o) = o**2 - 8*o - 14. What is the tens digit of p(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (2 - 4 - -3) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -50*f + 56. Let h be ((-8)\/(-8) - 7) + -2. What is the tens digit of p(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 7075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3165*f**2 + 41140*f + 20. Give s(13).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 12:48 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429107289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 481892563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 + -0.22.\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 o when three letters picked without replacement from {f: 2, d: 1, i: 2, o: 1, x: 1, k: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 119257927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-3 - ((-5 - -8) + -10)) - (202 + -90).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 159c93 (base 13) in base 11?\nAnswer: 3367a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 23 + (-3780)\/308?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2919*x - 327*x + 619*x + 2518*x to g + n*x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4902 divided by 1634\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 plus 152.481905582?\nAnswer: 153.981905582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 0 (b) -3 (c) -2\/7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24*-8\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1220\/427)\/(2 - (-432)\/(-217))?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005964143 to five decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 5. Let k(z) = 6*z + 36. Let r = 563 + -596. Let i = -35 - r. Give i*k(n) + 15*o(n).\nAnswer: 3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -450148*i**4 - 3*i**3 - 126950196.\nAnswer: -1800592*i**3 - 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -0.5 (b) -0.069 (c) -561\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-38633023.\nAnswer: 193165115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = 15*d - 2*f + 4*f + 26, 0 = -d - 5*f + 45 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 39*x + 237. Let h be l(-6). Solve -21*r - 39 = h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -348.466173 to two decimal places.\nAnswer: -348.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 - -1202122041?\nAnswer: 1202121443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 5*r - 4. Let t be f(-5). Is 6 a factor of (-5 - t)\/((-2)\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 468 + -464. Suppose 210 = -y*t + 222. Let g(f) = 3*f**3 - f + 1. What is the least common multiple of t and g(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - 4*p. Let f be 28\/42*(14 + -2)\/2. Let y(l) = 2*l**2 + 3*l. Determine f*y(a) + 3*s(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1663198382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27100 is divided by 322?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2343, -4843, -7343?\n\"Answer: -2500*g + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 109159 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3*u = -13*q + 3*q + 34, 3*q = -u + 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 9:55 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2765061?\nAnswer: 3, 13, 23633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3476*p**3 - 87*p**2 + 14*p.\nAnswer: -20856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 19091.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*a + 12 = 2*y, -4*y + a - 4 = 0. List the prime factors of (y - (-24 + -4)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -78226, -156451, -234676, -312901, -391126?\n\"Answer: -78225*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 42. Let z be h(-12). Let k = 12 - 6. What is the highest common factor of z and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -39. Calculate the highest common divisor of z and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Which is smaller: 1\/16 or i?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2867949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -31 and 5791.\nAnswer: 5760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(3 + 5 + -2 + sqrt(931)).\nAnswer: -35*sqrt(19) - 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 - -0.652?\nAnswer: 131.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (184\/(-690)*(1 + -2))\/(-8)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 16. Suppose 0 = -j*q - 10, 0 = -4*a - 2*q + q + 18. Solve -1 - 3 = -4*m + 4*v, 3*m = -5*v - a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 + -6.94. Let j = -70628.1 + 70628. Which is the third smallest value? (a) m (b) -16 (c) j (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) + 5\/3. Suppose d = -g*d - 6. What is the nearest to 0.2 in d, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 10\/55) + 53\/(-11). Suppose 3*r + 14 = 2*v, -4 = -2*r - 3*v + 4. Sort -1, 7, r, u.\nAnswer: u, r, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 4, 3*z + 14 = -3*q - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83\/1288893549 - 98278556929528\/90267659704215. Let k = 2\/14007 - j. What is the common denominator of 11\/45 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - -35. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.32 + -0.02. Which is the nearest to d? (a) 3\/2 (b) -0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -2*y**3\/3 - y. Let p(f) = f + 2*f + f - 3*f. Give p(v(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 3. Let z be p(-4). Let h = -3.2 + 3. Which is the smallest value? (a) h (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*(-28)\/(-35)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Let q(u) = 2*u + 24. List the prime factors of q(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -25, 16, 18, -2, 0.042, 6, -3?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 5*c + 3213, -d - 4*d - 2526 = 4*c. Is c less than -641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -4. Let k = 3 + m. Suppose k*b + 7*j + 6 = 3*j, 0 = 5*j + 15. Solve -4*s = -4, -r + 2*s = -b*r - 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 574.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -39 - (-1 + 16 + (446 - 462))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/((sqrt(24)*1)\/sqrt(4))*-1.\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 c, and 1 h when three letters picked without replacement from {h: 2, w: 1, d: 3, y: 3, u: 1, c: 8}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**24*w**(1\/12)\/(w*w*w**8) assuming w is positive.\nAnswer: w**(-119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 251319131 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 11 = j, 5*h + 0*j = -5*j - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-3))\/(1\/2). Suppose 0 = -6*n + n + b. Suppose -4*c + 10 = 3*l - n*l, 2*l + 5*c - 20 = 0. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from {s: 6, t: 9, q: 4}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 250 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2430\/(-189) - -13)*2772\/180.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 97. Let j be (2\/(-5))\/(d\/(-25)). Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1844572\/7 < -263511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1370379973 less than -0.034357?\nAnswer: 1370379972.965643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 32056, 9 in ascending order.\nAnswer: -1, 4, 9, 32056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z**2 + z)*(16*z**3 - 32 - 3*z**2 + 3 + 30).\nAnswer: -32*z**5 + 6*z**4 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 3*w. Let z(a) be the first derivative of 2*a**3 - 3*a**2\/2 + 126. Suppose 4*l - 5 = 3. Suppose l*u - 5 = 3. Give u*y(x) - 3*z(x).\nAnswer: 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 6) + 0 + 6 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 115645660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - (-28 - ((-1 - 27) + -15))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j - 1. Let k be f(-1). Suppose s + k - 20 = 0. Calculate the remainder when 38 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let a be ((-3)\/26)\/((-3)\/4). Let v = 0.5 + -0.3. What is the closest to -2\/7 in a, o, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85534912*-0.1.\nAnswer: 8553491.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3837948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 18*n = -19*n - 25*n - 969 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 8*f + 3. Let t be c(-9). Let h be (-28)\/(-6) + (-2)\/t. Solve -2*z = -h*z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 2*z + 3, -2*z - 18 = 5*b - z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12299678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 24. What are the prime factors of (9 + -19)\/(a\/(-82))?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-9) + 26\/6. Let b = 1 + 3. Let s(q) = -q**2 + 3*q - q**2 + b + q**2. Give s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 22 = -68. Let k be 4\/m + 1604\/(-9). Let d be k\/(-9) - (-6)\/27. Solve d = 2*l + 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -141 + -3?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -5 + 8\/5*p + 2\/15*p**3 + 4\/5*p**2. Solve w(s) = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -55. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 + 10*u**3 + 6*u**3 + (0*u**2 + 0*u**2 + 2*u**2)*(u + 2*u - u) as n*u**3 + h + m*u + y*u**2 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199 - 198.09. Let g = -0.365 - -1.175. Let i = g - t. What is the closest to 2 in 0.2, i, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 0. Let r = 4.6 - -0.4. Let w = -4.6 + r. Which is the nearest to 1\/3? (a) -2 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -5387, -4, 2 in descending order.\nAnswer: 2, -1, -2, -4, -5387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 6*y**2 - 6*y + 11. Calculate k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44)\/(-12) - 3 - (-57)\/9. Put p, -5, 4 in decreasing order.\nAnswer: p, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322105159?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - q + q - 15*q**3.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*k*(k*k*k\/(k\/(k*k**1)))\/k)\/k)**2\/((k\/(k*k**(1\/2)\/k*k))\/k**(-8))*(k**(-1\/3)*(k\/((k*k**(-11)\/k*k)\/k)*k)\/k*k)**11 assuming k is positive.\nAnswer: k**(851\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from {u: 3, j: 13}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13\/44 - -1\/22. Suppose -3*w + 4 = -4*z, z = 2*z - 2. Suppose t = -w*t. Do x and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s - 8. Let f be (-1)\/(-1)*7*-1. Suppose 0 = -5*p - 4*h - 81, 3*h - 40 = 5*p - p. Let o = p - f. Determine a(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12064685 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(264) - (sqrt(264) - (sqrt(264)*-1 - sqrt(264)))*6)\/sqrt(11))\/((sqrt(128)*-2 - sqrt(8))*6*1).\nAnswer: -17*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9181 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 635 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 118.1, -0.5, 2\/7?\nAnswer: 118.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6 - -2) + 3)*(-1)\/1. Which is the smallest value? (a) t (b) 0 (c) -3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*((-280)\/112)\/(8\/4).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.95827615 rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485364 is divided by 136?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 186 - abcc?\nAnswer: -aa46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - ((-23 - -16) + -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 2*h**2 - 5*h. Let l be x(4). Suppose 4*i + 46 = 22. Let k = l + i. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.53 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 118760 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 65065056 divided by 7\nAnswer: 9295008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4*o - 0*o. Let p be 15\/12*(3 - -1). Sort o, p, 4 in descending order.\nAnswer: p, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.32 + -0.12. Let m = 21.5 - 23.1. What is the second smallest value in j, -0.5, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*u + 1437, -3*a = 3*u - 5*u - 1457. Let q(r) = 58*r. Let f be q(-4). Let i = f + a. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - h**2 - 4*h - 2. Calculate j(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 101, 248, 463, 752, 1121, 1576?\nAnswer: 2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + w. Let m be p(0). Suppose m = -6*u + 2*u + 188. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:15 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47663114\/23 or -2072308?\nAnswer: -2072308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 961.0219?\nAnswer: 956.0219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d + 7. Calculate i(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-168)\/(-18))\/((-2)\/(-9)). Is ((-30)\/(-35))\/(2\/j) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -192*m**3*q - 99*m**3 - 119*m**2*q + m**2 + 22 wrt m.\nAnswer: -1152*q - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from qxtxqqqtqtqtttq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5656280 is divided by 45615.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 4 - (14 + -13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39663539482279\/4720 + -8403292304. Let x = l - -5\/944. Let d = x - -941\/20. Calculate the common denominator of 50 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 6*l**2 - 3*l - 15. Let w be u(-6). Suppose 5*f - 4*b = 1031, -4*b + w*b + 402 = 2*f. What is the highest common divisor of 29 and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522097 + 0.1.\nAnswer: 522097.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-210)*(-3)\/(-2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2529 divided by -3\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, e: 2}. What is prob of sequence yyyy?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -46*(((-80)\/500)\/(12\/(-30)))\/(4\/5)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - -49. Suppose p = 15 + 39. Let u = t - p. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/387 and -61\/342.\nAnswer: 14706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -154362151 or -154362153?\nAnswer: -154362151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7675.926115 - 7647.926. Let k = d - 28. What is k rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 66, 99, 148, 219, 318, 451, 624, 843?\n\"Answer: b**3 + 2*b**2 + 20*b + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 21. Suppose -47*n + 33*n = 72*n. What is c(n)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -345483\/4004 - 5\/4004. Let p(h) = 4*h**2 + 2*h - 4. Let x be p(-5). Let g = x + a. Is g smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.11, 308, 1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -260511, -260510, -260509?\n\"Answer: o - 260512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 237 and 30.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1244 in -1, 0, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8660, 35413, 98346, 215549, 405112, 685125, 1073678?\nAnswer: 1588861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5335, 10671, 16007, 21343?\nAnswer: 26679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -479010 (base 10) to base 15.\nAnswer: -96de0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -185899 + 929438\/5. Let q = 3 - 1. Calculate the common denominator of c and ((0 - q)*7)\/(-43).\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 s, and 1 w when four letters picked without replacement from wgtwsg.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 4*l**2 + l + 1. Suppose n + 16 = 3*i + 6*n, -i + 4 = n. Calculate the lowest common multiple of i and g(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8237085 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -8175024.\nAnswer: 1635004.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 4. Let l be c(-3). Let z(j) be the third derivative of j**6\/40 - j**2. What is the units digit of z(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/5 - 24\/(-40). Suppose -4*h + l*h = -20. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, -0.01, 0.5, 25668?\nAnswer: 25668","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102.2 + -853.8. Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3349 and 1379?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/18 and -67\/4014306.\nAnswer: 4014306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/4 - 735*s\/4 + 19304 = 0.\nAnswer: 127, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13006779557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43.33 + 1.67. What is the third biggest value in 5, -0.5, -4\/5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 + (-18 - (-43 + 23 + -11))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9384286 - -0.9381. Round q to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8783826 = 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22b74 (base 12) to base 2.\nAnswer: -1011011000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.81 - 3.8096991. What is b rounded to 5 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9324 is divided by 2818.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*p = 3085, -l + 6*p + 408 = -183. Solve l - 625 = -4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-20)\/(-15))\/4 - (-104)\/(-96))*4084. Are -3063 and g non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*j = 31, 5*l + 4*j - 50 = -j. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 3 + 3)*(-9 + 1 + 2)*(0*p**2 + 3*p**2 + 0*p**2).\nAnswer: -486*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r - 138153 = 494853. Let a = 3047 - r. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14310454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 3. Let g be c(-5). Suppose 4*m = -x - g + 106, 0 = x - m - 44. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 368 and 6164?\nAnswer: 24656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + -0.14. Let x = -43 + 38. What is the fourth smallest value in x, i, -4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 19*s + 55. Give v(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/52 + (-4 - 102*(-7)\/182)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 112 = -u. List the prime factors of u.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*f + 2. Let b(t) = -t**3 + t + 5. Let j be b(0). Suppose 5 = -f*p - j. Let m(o) = o**3 + 6*o**2 + 7*o + 3. What is m(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8821, 8822, 8823, 8824?\n\"Answer: y + 8820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12533272.6 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.07 + -0.07. Let u = 0 - 3. Let d = -2.8 - u. Which is the second biggest value? (a) 1\/6 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -154. Suppose -2*p - 5*u + c = 0, 2*p + 3*u = 6*u + 5. What is the least common multiple of p and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -833, 1318\/75, 1\/5?\nAnswer: 1318\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529663 is divided by 1865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 + 0*i**5 + 0*i**5 + (-2*i**2 + i**2 - i**2)*(i**3 - 3*i**3 + 3*i**3).\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -514\/243, -0.4, -0.1, 20.\nAnswer: -514\/243, -0.4, -0.1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -3*j**6\/2 - 2*j**3 - 91*j. Find the second derivative of z(m) wrt m.\nAnswer: -540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 5*q**2 + 4*q + 4. Calculate the remainder when 38 is divided by x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11791 - 35371\/3. Let c(n) be the first derivative of s*n - 1\/12*n**4 + 1\/15*n**5 + 2 - 1\/3*n**3 + 1\/6*n**2. What is i in c(i) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/20*25\/2. Let n be (-3)\/(6\/q) - 1. Suppose -n*f + 3866 = 2*a, -2*f + 313 = 4*a - 1617. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/10)\/((-15 - (11 + -20))\/(-32))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*s - 23 = 0, -4*p = -0*s - 4*s + 4. Which is the second smallest value? (a) 1 (b) 2\/11 (c) 1\/6 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1*2)\/(24\/(-24)). Let j(k) = -k**2 + 4*k - 6. Let s be j(2). Sort 1, n, 4, s.\nAnswer: s, 1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1402655 + 461?\nAnswer: -1402184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63231667 by 5.\nAnswer: 63231667\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 136, -4, 0, -2 in ascending order.\nAnswer: -4, -3, -2, 0, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 5, h: 5}. What is prob of picking 1 i and 1 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3398 > 3389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 145*x**2 + 293*x**2 + 7*x**3 - 142*x**2 + 5*x**4 - 3*x**4 to the form u*x + v*x**3 + z*x**4 + t + w*x**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1 + (-12)\/8). Suppose 3*i = 4*g + i - 30, 4*g - 10 = -v*i. Let c(y) = -y**3 + 7*y**2 - 5*y - 4. What is the tens digit of c(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 37*g = -34*g + 17368, 3*o + 3*g = 13047. Is o a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268 (base 12) to base 5.\nAnswer: 2433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) 0.2 (c) -1 (d) -3380\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 6 = -9, m = 3*w - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 11 + 13. Let a = -339 + 345. Suppose -a*b = -h*b - 1204. Does 43 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + 1. Let m be s(-1). Suppose -13 = -m*l - 1. Let r = 29\/81 - 2\/81. Put -0.2, r, l in descending order.\nAnswer: l, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.8 (b) 0 (c) -397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374236*p - 8645 = -374483*p for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*h + 55*h = 7224. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.9 + 1.1. Let m = -18.9 + r. What is the third smallest value in 5, -2, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6145644819 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.9986137 rounded to one decimal place?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w + 305. Let i be f(101). Solve 3*x = -i*n + 2, -5*n = -x - 11 + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(34\/(-144) + 4*(-2)\/(-72)). Let x(l) = -l**3 - 9*l**2 - 16*l + 5. Let d(f) = f**3 + 9*f**2 + 15*f - 4. Let g(p) = -5*d(p) - 4*x(p). Give g(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -249, 1, 434 in ascending order.\nAnswer: -249, -5, 0, 1, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626906733 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: Find z such that -75542*z**2 - 75578*z - 36 = 0.\nAnswer: -1, -18\/37771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 4, -5, -2 in ascending order.\nAnswer: -5, -2, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-23\/2))\/g**26)\/(g\/g**(-29\/2)*(g*g*g**(-4\/19))\/g) assuming g is positive.\nAnswer: g**(-1003\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 1\/2*k**3 + 0*k**6 - 5*k**2 + 11\/70*k**7 + 0*k**4 + 0 + 0*k**5 + 0*k. Differentiate a(l) wrt l.\nAnswer: 132*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-6))\/(12*(-484)\/1056)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let c(h) be the first derivative of 3*h**2\/2 + 7. Determine c(p(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - -1.06. Let k = 0.308 - 162.308. Let h = -163 - k. What is the closest to -1\/8 in v, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m + 3. Let c(o) = o + 1 + 0*o + 0*o. What is 4*c(q) - f(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10733503\/16157540 + 2\/115411. Is -2 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**3 + 3*x**2 - 44*x + 18. Let j be u(7). Which is the fourth smallest value? (a) j (b) 0 (c) -0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -0.3 (c) 4 (d) -0.228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 245544446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133, -868, -2871, -6778, -13225?\nAnswer: -22848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -4)*(-4)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c + 16*c + 28*c + 1)*(-2*c**3 - 3*c**3 + 3*c**3).\nAnswer: -104*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202212202 (base 3) in base 12?\nAnswer: 36b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*w**2 - 3156*w - 111*w**2 + 3155*w - 292*w**2.\nAnswer: -353*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 4. Suppose 0 = 5*f + k - 32. Suppose -b - 3*d = -7, -8*b + 38 = -f*b + 2*d. What is the highest common divisor of 30 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtq when three letters picked without replacement from {s: 1, q: 9, t: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + i + i**2 + (0*i - 3*i + i)*(-i - 3*i + 3*i) - 58 - 48 + 2*i**2 + 104 + 32*i + (2 - 2*i - 2)*(0*i - i - i) as n + q*i**2 + k*i and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {x: 6, t: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**18*y*y*y)\/((y**(1\/10)\/y)\/y))**(-19\/2))**(2\/139) assuming y is positive.\nAnswer: y**(-4351\/1390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*u + 3024 = -34*u. What is the remainder when 78 is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7784562?\nAnswer: 2, 3, 109, 11903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 - -2. What are the prime factors of q?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484580*h**2 - 3560498*h**2 - 2243303*h**2 + 657465*h**2.\nAnswer: -5630916*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1071 + 3212\/3. Put u, 1, -52 in increasing order.\nAnswer: -52, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*z**3 - 64*z**2 - 638*z - 1?\nAnswer: -24*z - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5628 and 497?\nAnswer: 399588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1038*c = 972*c + 5090910. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 3:20 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*m - 38 = 50, -m - 68 = -4*z. Let p be (17 - z)\/((-1)\/19). Let g = 1 - 0. Is g less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 25. Let z be n(12). Suppose -z*i + 7*i = -132. Suppose 3*u - 358 + 304 = 0. What is the smallest common multiple of i and u?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (290\/(-24))\/(-5)*2 and -47\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20786076983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - -20. Suppose 5 = s, 5*s - 20 = -3*x + p. Find the second derivative of 7*l**2 + 11*l - l - l + x*l wrt l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 493 = 3*k, -4*k + 5*g - 3*g + 654 = 0. Is k a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 12 = 4. Suppose -u*w = -24 + 60. Let q be w\/15 + (-86)\/(-10). What is the highest common factor of q and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1781922 is divided by 63634.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 22*k**2 + 10*k + 1479. Let b(f) = 42*f**2 + 19*f + 2961. What is -10*b(j) + 19*d(j)?\nAnswer: -2*j**2 - 1509","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1904, -1897, -1876, -1835, -1768, -1669, -1532, -1351?\n\"Answer: f**3 + f**2 - 3*f - 1903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94345 is divided by 23586.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301087273.\nAnswer: 23, 647, 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37133 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 11*f**2 + 14*f - 1 - 3*f**3 - 15*f - 12*f**2. Is 3 a factor of q(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 353751*d**5\/20 - d**4\/3 + 4*d**2 + 8*d - 2. Let u be n(2). What is u rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 328 + -314. Calculate the remainder when (-97)\/((6\/(-2))\/3) is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/2891716413 + 101673712968211\/26517039507210. Let a = 62\/917 - j. Calculate the common denominator of a and -7\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44385171?\nAnswer: 3, 631, 23447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 6*l - 5. Let r be z(-5). Suppose 0 = -5*y + 25, 3*p + 5*y - 9*y + 29 = 0. Let x be 4 - ((-40)\/(-10) - (9 + p)). Solve r = 2*v + 2 + x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -8, -49, -128, -257, -448?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 23 - 7. Which is the third smallest value? (a) h (b) -0.19 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - y + 22. Let m be u(0). Suppose -m*h - 1008800 = -9*h. Round h to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*g + 32, 0 = -2*p + 2*g + 14. Suppose 2*y - z = 1 + 8, -p*z = -4. Which is the closest to 0? (a) -0.4 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2\/3 + 19*x - 812\/3 = 0.\nAnswer: 28, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652895 a multiple of 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 0.104.\nAnswer: 0.00728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1550)\/200*(-50)\/2325\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -551012*h. Let t(o) = -25*o. Determine v(t(r)).\nAnswer: 13775300*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5639892 is divided by 2819796?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18906804 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 139.7 + 40.3. Let l = -179.8 + i. What is the second biggest value in -5\/4, -0.3, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 6, -20, 5, 1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*u + 259*u = 355*u - 3815 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24949, 99638, 224121, 398398, 622469?\nAnswer: 896334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c + 0*c**2 + 6\/5*c**4 + 0 + 2\/5*c**3.\nAnswer: 2*c**3*(3*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 618531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -26 + -11 + (48 - 45)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**3 + 80*n**2 - 38*n + 242. Give c(16).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 35. Give j(-26).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31898?\nAnswer: 2, 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + o = 39, -121 = 5*i - o - 19. Let v = i + 22. Solve 7*c - 3*c = -2*h + 4, 0 = -h - 5*c - v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12738 + 20053. Suppose 4*k = 1089 + b. Is k 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 -3279699*a**3*c**2*n**2 - 7*a**3*c + 279*a**2*c*n**2 - 119*a*c - c**2*n**2 wrt c?\nAnswer: -6559398*a**3*n**2 - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -296, -291, -286?\n\"Answer: 5*i - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 0 - (67 - 68)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 983665 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116587.0000073023 + 116587. Round x to 7 decimal places.\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -1, 3, 46, -416 in decreasing order.\nAnswer: 46, 3, -1, -85, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 180877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11240, 11194, 11124, 11036, 10936, 10830?\nAnswer: 10724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -511*(0 - (-5)\/40). Let r = -64 - a. Which is smaller: 16.9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-8) - 12\/16. Is 2 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 + 272 = 105*i + 84 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**0)**(-14\/11)*(r**(-11))**45 assuming r is positive.\nAnswer: r**(-5459\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-44)\/55)\/((-2)\/10). Let o(n) = n**2 - 6*n + 2. Let p be o(j). Let d(b) = b**3 + 6*b**2 - 8*b + 1. What are the prime factors of d(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/14204080?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6)*(-45 + -1). Let w be q\/38 + 1\/2. What is the biggest value in w, -4, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 492915 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.9125742 and 0.2?\nAnswer: -0.58251484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 = 7*p - 9*p, -5*q = 2*p - 6. Which is the nearest to p? (a) 5 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 12 = 4*c, -c - 18285*y - 9 = -18288*y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*1*3)\/(sqrt(9) - -5*sqrt(81)))\/(-3*(sqrt(72) + (sqrt(72)*2 - sqrt(72)))*5)*-3.\nAnswer: sqrt(3)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*q**2\/7 - 2790268*q\/7 + 79722.\nAnswer: -2*(q + 279027)*(5*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 34 + 114. What is the remainder when (-94)\/(-2)*(-3 + 4) is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11209019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-10)*(-440)\/(-176)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -81*n**2 + 8*n + 13. Let p be w(-3). Let d = 4926 - p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0642 + 0.061. Let x = -21.0968 + w. Let u = -21 - x. Which is the biggest value? (a) -0.5 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 10*q - 13. What are the prime factors of 0 + -1*(q + 0) + 790?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 29. Let y be (-16)\/18 + 2\/9. What is the closest to 2 in v, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1442\/(-22) + (-3695)\/8129.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 3 - 0 - 3. Suppose 0*u - 4 = -i*u. Let g be -2*(-14)\/112*12. Which is bigger: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 532374080, 1064748158, 1597122236?\nAnswer: 2129496314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -u + 6*p - p, -5*u - 5*p = 45. Let v be u - (-3 + (1 - 1)). Let m(d) = -2*d**2 - 14*d + 4. Let o be m(v). Solve -11 = o*a + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-96)\/(-128) - 5\/(60\/(-231)). Suppose -5*a - 23 = -2*x, o = 5*x - 12*a + 7*a. Let d = 5 - 3. Put 1, x, d, 0 in descending order.\nAnswer: d, 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 80\/320*(-4)\/(-3). Let u(r) be the first derivative of 3*r - k*r**3 - r**2 - 48. Let u(p) = 0. Calculate p.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-86)\/4)\/(4\/(-120)). Suppose 5*a = x - 105. Calculate the greatest common factor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5\/3, -5, 2\/41, 2\/5, 4, -258, 15\/67?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 5*z**2 + 3*z - 6. Let l(h) = h. Let v be l(5). Let g be i(v). Solve 0 = -2*f - 2*a, f - 3*a - 3 = g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114310 - -11?\nAnswer: -114244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + x - 18 = 3*u, 0 = -4*x - 5*u + 21 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25796069 is divided by 2584?\nAnswer: 2581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*o + 100*o + 63*o = 43*o + 4202 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 2. Let z = -72 + 72. Suppose 0 = -0*x - 4*x + 4*n + 8, -4*n = z. Determine w(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43\/3 - 725\/51. Suppose 5*h - n - 21 = 0, -5*n = 2*h + 2*h - 40. Let l(b) = -2*b + 11. Let u be l(h). Is v at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, n: 1, l: 6, v: 3, a: 1, f: 6}. Give prob of picking 3 f and 1 a.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2148*u**4 - 3*u**2 + 186*u?\nAnswer: -51552*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 + 82.7. Let v = m - 81. Suppose -7 = 2*n + 1. Which is the nearest to v? (a) -5 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 - 5*q**2. Let h = -17 + 11. Let b(f) = f + 9. Let i be b(-7). Let m(z) = -z**i + 3*z**2 + 2*z**3 + z**2. What is h*k(n) - 10*m(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10))\/(7\/((-70)\/(-36))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29550)\/345735)\/((-1)\/(-9)).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -872756, -1745528, -2618300, -3491072?\n\"Answer: -872772*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/3)*l*l*l*l)**(-39) assuming l is positive.\nAnswer: l**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 89*r + 4. List the prime factors of c(2).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 - 83.96. Let q = u - 3.3. Let r = q + 0.06. Which is smaller: -6 or r?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 13001?\nAnswer: -13013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86.1256*-0.05.\nAnswer: -4.30628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 329 = -5*a, 5*v + 4*a - 644 = v. Does 44 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1115335 by 6.\nAnswer: 1115335\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 621 and 163530.\nAnswer: 490590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, t: 1, s: 1, o: 6}. What is prob of sequence ccc?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-10)*l*l*l**9 assuming l is positive.\nAnswer: l**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-72)\/2)\/(8 + -9) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -454 or -455?\nAnswer: -454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**5\/7 + 9*l**4\/7 + 33*l**3\/7 - 81*l**2\/7 - 30*l\/7 + 72\/7 = 0 for l.\nAnswer: -3, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 14*z = -8, 11581*z + 12 = 5*q + 11579*z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/6*12\/16. Sort 5, -3, s in descending order.\nAnswer: 5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 + 201. Let z = 68.49 - f. Let u = z - 0.48999796. Round u to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10463470 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1078)*-1)\/((sqrt(132)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 1. Let p be y(-5). Let h be (0 + 2600)*(-10)\/p. What is h rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 985387318 to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 99*(69\/(-18) - -4)\/((-8)\/16). Suppose -5*r - 204 + 9 = 0. Let j = i - r. Solve -j*c = -c + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*x + 14 + 11, -3*x - 13 = -d. Let m = d + -6. Let w = 5 + -3. Solve -m*s = -5*s - w*y + 10, -3*s + 27 = 5*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m + 16. Let a be b(7). Suppose 3 = -3*u, 2*j - a*u = -2*j - 2. Let o(y) be the third derivative of -y**4\/8 + 3*y**2. Calculate o(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 10:56 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106070385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/51436 and 149\/15288.\nAnswer: 28084056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-14)\/(154\/11)). Which is bigger: 3\/5854 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13488017657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 - 66. Is 8 a factor of 40*((-3)\/z + (-43)\/(-35))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*x + 2219, 4*b = 7*b + 9. List the prime factors of x.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*r, -5*r - 5 = -0*s - 5*s. Calculate the common denominator of -49\/2 and 0 - ((-27)\/10 - r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148 + 182. Suppose -b*d - 54 = -40*d. What is the greatest common divisor of 225 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30325\/4743 - 5\/1054. Suppose t = -2*t + 9. What is the common denominator of l and t\/(-20)*(-345)\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 3752439779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*d = 20, 5*c - 4*d - 77 = -89 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 16, 2, -841.\nAnswer: -841, -1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i - 18 + 18. Suppose -9*o - q + 16 = -6*o, i = 3*o - q - 20. Factor -x - 6 + 8 - 5*x - o - 2*x**2.\nAnswer: -2*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13453310 (base 6) to base 14.\nAnswer: -bd002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 1789000\/(-80)*(((-12)\/15)\/1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 166*n**2 - 10*n + 4. What is the tens digit of b(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374984526 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.149039 to 2 dps.\nAnswer: 47.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9650550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/60 and -14\/5325?\nAnswer: 21300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 0*v**2 + 0*v**4 - 9*v - 8 - 4\/5*v**5 + 0*v**3. Differentiate l(p) with respect to p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - 4*o**3 + 4*o**3 + (2*o - 2*o + o)*(o**2 - 2*o**2 + 3*o**2) + (-36 + 36 + 2*o)*(2*o**2 + 74 - 74).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 j when four letters picked without replacement from afjaaaajfjj.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 235057876 or 1?\nAnswer: 235057876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - t - 448911, -3*v + 3*t = t - 269341. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -70*n + 66*n, 5*n + 14 + 25 = -2*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7908556.97 and 0.1.\nAnswer: -7908556.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20403 - 20747.9. What is k rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41274 (base 8) in base 7?\nAnswer: -100544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 17*l - 12. Let i(f) = -17*f + 11. Let k(q) = 3*i(q) + 2*y(q). Let n be k(13). Is 2\/(-2 - 432\/n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 - 6*v - 6. Let x(z) = 5 + z - 5 - z**2 + 3 - 2. Calculate t(c) + 6*x(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9344088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3360 and 59752320.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.16 + 0.16. Let w = l - -15. Sort -0.3, w, 2\/9 in decreasing order.\nAnswer: w, 2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88889667039 + -88889666702.399739288. Let s = m - 334.82026. Let o = s - 1.78. What is o rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 16*h - 10. Calculate j(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341210818 is divided by 1590.\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -121 and -1.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2.7. Let o be (-21 + 21)*1\/(-2). Which is the nearest to 0? (a) -0.03 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 375115948.41707 - 375114309. Let l = i - 1570.416931. Let q = 69 - l. What is q rounded to five decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004327 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2 - 4*k**2 + 15*k**2 - k**2 + 4*k**2 - 4*k. Let v be p(3). Calculate the common denominator of 9\/10 and ((-24)\/(-32))\/((-6)\/v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117565.\nAnswer: 5, 7, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1555 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 21 - 21 = 2*t, -t - 43 = -4*y. Let c = -23 - t. Solve c*i - 2*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a factor of 7391231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 + 167*v**2 + 241*v - 430. What is x(-82)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 130824 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*b = 31*b + 1036. Suppose -g + b = 138. What is the remainder when 118 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 16, 9\/8, -2\/13?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2169.00002854 - 2169. Round q to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 80*u - 3. Let m be s(1). Let k = m - 62. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -15*d. Let v = 36 + -34. Let j be v*(-2 + 1 - -2). Let z(y) = 6 - j*y - 8 + 2. Determine z(w(i)).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 57, 2, 3.\nAnswer: -1, 2, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19790 and 2506.\nAnswer: 22296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5594*n**2*p**4 + 6*n**2*p**3 + 7598*n**2*p - 10*p**2 wrt p.\nAnswer: 134256*n**2*p + 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174.0906 + 174. Let y = u + 7.5406. Round y to one dp.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 775971\/6213 - (-12)\/114?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 46014*s - 46014*s + 3*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 9:06 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2\/(-4))\/(14\/48)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*n + 56 = 0, -5*o + 2*n = 6*n - 299. Suppose -4*l = -5*k - o, l = -3*k + 2*l - 34. Does 33 divide (-4 + 7)\/((-3)\/(15*k))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288) + 1)**2.\nAnswer: 48*sqrt(2) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 16, z: 1, c: 3}. What is prob of sequence cgzc?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -11131.886 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 60.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62.9999894 - -63. Round v to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 10)*(-3)\/9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 = 10. Let h be 8\/v + (-54)\/(-90). Suppose k = 3*k + 2. What is the nearest to 1\/4 in h, k, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-6))\/b**6)**(-2\/17) assuming b is positive.\nAnswer: b**(22\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**3 + 3*o**2 - 783*o. What is k(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -214*x**3 - x**2 + 3*x - 2. Let c be n(1). Let h = c - -413. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -321 + 320.9. Let x = 2 - 1.8. Are x and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6927 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**32*((p**5\/p)\/p)**(1\/15) assuming p is positive.\nAnswer: p**(-159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from fgdhhghdh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/23)\/(t*t\/(t**(-10)*t)*t)*t**7*t**(-4\/9))**(2\/139))**(-33) assuming t is positive.\nAnswer: t**(25190\/9591)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.14973962 rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65324 is divided by 563.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 10 = -2*j. Let f(p) = -309996*p + 40. Let z be f(j). Round z to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105216 divided by 64\nAnswer: -1644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + m**2 + 109*m - 12. Calculate u(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 19*w - 22 + 16)*(-1 + 0 - 1 + (0 - 3 + 2)*(-1 + 1 - 1)).\nAnswer: -19*w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 240230.64 to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -q + 31, 10*q - 3*v = -659 + 639 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -662773 (base 8) to base 11.\nAnswer: -142369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((10*(-3)\/(-9))\/((-140)\/(-20)))\/((-32)\/56)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -727, -2894, -6507, -11566, -18071, -26022, -35419?\n\"Answer: -723*q**2 + 2*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 7*i + 24. Let o(k) = -k**2 + 13*k - 9. Let b be o(i). Is ((-39)\/9)\/(b\/(-9)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 17027147.\nAnswer: 5\/17027147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17652 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Let q = 14 + 3. Suppose 97 = 5*c + 4*x + q, 4*x + 28 = 4*c. Calculate the lowest common multiple of u and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*z**3 + a**3 - 94*a**2*z + 2*a**2 + 185*a*z**4 wrt z.\nAnswer: -6*a**3*z + 2220*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahphppppphppapppaa. What is prob of picking 2 h and 1 p?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 84*h + 7033000. Let z be o(0). Round z to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2744) + sqrt(2744) - sqrt(56))\/(sqrt(4)\/sqrt(2)*-4).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = y + 2*t + t, -3*t = 2*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - -1*sqrt(405)*4 - (sqrt(405) + -3 + sqrt(405) + 0 + sqrt(405))) + 1)**2.\nAnswer: 144*sqrt(5) + 1636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5 = -4*v. Let b = -2 - v. Suppose b*f + 4*m + 66000 = 0, -6780 = -f - m - 28780. What is f rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/20 and 4\/760*(-1403)\/(-115)?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 22*v**3 - 794*v**2 + 74*v - 62. Let o be x(36). Let c = -4 - -64. What is the greatest common factor of o and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390\/156*16\/(-100)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -23*k - 134. Let b be s(-5). Let t = 19 + b. Solve 5*n = -t*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**3)**(-1\/2))**(1\/9))**46 assuming t is positive.\nAnswer: t**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -1 + 0*w + 1\/2*w**2. Let q(s) be the third derivative of -s**4\/12 + s**3\/6 + 4*s**2. What is -c(l) - q(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 + 0 + 0. Let g(i) = 76*i**2 + 150*i + 1. Let v be g(-2). Sort -5, v, -4, k.\nAnswer: -5, -4, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 + 431*a + 566. Let j be k(143). Which is smaller: 5963\/7 or j?\nAnswer: 5963\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a centimeter in millimeters?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -13 + 1\/12*p**4 + 0*p - 11*p**2 + 0*p**3. Let c(w) be the second derivative of u(w). Let v(h) = -4*h. Calculate c(v(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3 + 2*r + 0*r - 2 + 3. Let a be b(3). Solve -a*k = k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 74372, 149212, 224052, 298892?\n\"Answer: 74840*z - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(4 - 2) + 60\/36*-6.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4234500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 - 3*g + 6. Let q be c(3). Find the third derivative of -16*m**3 + 4 - q + 1 - m**2 wrt m.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*b - 176*b**3 - 4*b + 4*b**2 - b**2 - 8*b wrt b?\nAnswer: -1056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - f**2 - 11*f - 1. Let r be o(9). Let q be 2 - 0 - r\/(-220). Let b = -56\/11 + q. What is the second smallest value in -2\/11, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t. Let p(f) be the first derivative of 0*f**2 - 33 + 0*f - 112\/3*f**3. What is p(c(z))?\nAnswer: -448*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6))\/(((-6)\/14)\/((-132)\/(-2541))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*f + 3*f. Let p(g) = g**3 + 5*g**2 - 7*g - 2. What is p(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of ((-15 - 5) + -1)*(-1728)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-15) + 16\/(-40). Suppose 0*b = b - 1. Let m = 2 - b. Solve n = -5*i - m + 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/9 - 5647856*u\/9 - 3987284674592\/9.\nAnswer: -2*(u + 1411964)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.95 - -0.05. Let d = -485 - -498.952. Let j = b - d. What is j rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3609 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**5\/5 + w**3\/2 + w**2\/2 + 2*w. Calculate the remainder when c(-2) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 181*f**3 + f**2 + 2*f - 18. What is the tens digit of r(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-57)\/(-6)*-1*-10. Suppose 3*k + y = 5*z - 2*k, -2*k + 26 = 2*z. What is the greatest common factor of z and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 0, i - 4*i = 5*s. Suppose s = 2*p - 0 + 4. Let o = 10 + p. Calculate the least common multiple of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 k when four letters picked without replacement from yjkhjhjhjhyyjjyy?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6920*j - 787 - 790 + 1577.\nAnswer: -6920*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 12:16 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dff when three letters picked without replacement from {f: 3, d: 1, r: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 152\/(-36) - 50\/18\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 663*g + 1 - 662*g - 1.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 + 2 + (4455 - 4524)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, -2, 73768 in ascending order.\nAnswer: -88, -2, 73768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4498251509?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7)\/((-2)\/2)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 164, 169, 176, 185?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 b, and 2 c when four letters picked without replacement from ctbbbttbcbctctbb.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 812.\nAnswer: 812.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-11) - (-8661867362)\/4994 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -24.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 11*u**2 - 16*u - 17. Let r be z(9). Let d be 7\/(-7) - (r + -3). Solve 4*s - i - d = -22, 3*s + 5*i - 13 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 0)\/((-5)\/(-25)). Find the second derivative of -14*s - 26*s**5 - 11*s**5 + 14*s**d wrt s.\nAnswer: -460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14148 and 4019604.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3668 - 1209 = -164*i - 449 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 4, q: 4, t: 1, s: 5}. What is prob of sequence sgg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 2*b - 93. Calculate the highest common divisor of b and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*t - 233 = 0, 0 = 16*t - 18*t - 6. Suppose -2*x = 2*n - 4*x + l, 5*n + 2*x = -308. Sort n, 5, -3.\nAnswer: n, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4 + 18640*a**3 - 44058536*a**2 + 2915120160*a - 10956736512 = 0?\nAnswer: 4, 64, 4626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8580271 or 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g + 70. Suppose 6*p - 3 = -75. What is the remainder when 61 is divided by z(p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:54 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 81, -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -20. Let d(i) = -2*i**2 - 3*i + 2. Let g be d(-2). Suppose k + w - 1 = -0*k, k - 4*w - 21 = g. Solve v + 4*v + 5*o - 30 = 0, t = k*v - 3*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/1)\/(6\/(-4)). Let u = -9 + 13. Find the second derivative of u*g - c*g**4 - 4*g - g wrt g.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3*d - 2 = 0, -2*y = 2*d - 6 - 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -34.4. Let c = 4 + -4.4. Let j = m + c. Put -1\/6, j, -3\/5 in ascending order.\nAnswer: j, -3\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2976 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 65.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 47*u + 2. Let i(c) = 141*c + 5. Calculate 4*i(d) - 11*v(d).\nAnswer: 47*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -1) + 2 + (0 - -1). Let a = 4 - 4. Sort -5, -3, u, a in descending order.\nAnswer: u, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*m = 279, -12 = 2*m + 2*m. Let t(i) = -n - 49 + 83 + 108*i. Is t(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + g - 219 = a, -4*a + 2*g = 290. Let s = -7 - a. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4376680 and 5280?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14b126 (base 14) to base 4.\nAnswer: 2300033232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-9) + 12\/(-18). Let u = -1.4 + 1.3. Which is the fourth smallest value? (a) u (b) o (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 1. Let f(r) = -22*r - 5. Determine -f(i) - 3*o(i).\nAnswer: 25*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -25*q + 12*q + 13*q - q**2. Let k(j) be the third derivative of j**5\/60 - 24*j**2. Give k(s(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20675*h**2 + 5*h - 20657*h**2 - 5*h + 3.\nAnswer: 18*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.9, -86, 0, 25, 2\/5, 4 in decreasing order.\nAnswer: 25, 13.9, 4, 2\/5, 0, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20647 is divided by 557.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 9:03 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 270, 745, 1410, 2265?\nAnswer: 3310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 62. Let g(r) = -3*r - 2 - q + 108*r**3 - 107*r**3 + 22*r**2 - 10*r. Is g(-22) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 6*d - 11. What is k(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(-1*sqrt(11)) + -1 + sqrt(68) + (sqrt(51)*1)\/sqrt(3) + (-2*sqrt(136))\/sqrt(8))*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzkp when four letters picked without replacement from zkdfpdok?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4403 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-5\/7))\/x)**(-15)*x**(-35)*x**(22\/5) assuming x is positive.\nAnswer: x**(-1446\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117*0.08.\nAnswer: 9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140 + 210. Let h = -69.8 + n. Which is the second biggest value? (a) h (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10202332 (base 4) to base 2\nAnswer: -100100010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1847 + 2*c**3 - 1048 - 2907.\nAnswer: 2*c**3 - 5802","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/648 and -1\/4860216?\nAnswer: 14580648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68806 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 1, 0.408?\nAnswer: 0.408","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1937, -3868, -5799?\nAnswer: -7730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -65. Let x be (-2)\/10 + p\/10. Suppose -j + 5*q = 10015, 3*q - x*q + 9997 = -j. What is j rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 2, r: 2, a: 1}. Give prob of sequence zrk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9184 is divided by 121?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 47*z**2 + 3213*z + 4. Let y(p) = -79*p**2 - 6427*p - 9. Let t(g) = 13*m(g) + 6*y(g). Find the second derivative of t(q) wrt q.\nAnswer: 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 56259*u - 56260. What is s(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32295, -34191, -36087?\n\"Answer: -1896*c - 30399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 2:23 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 908165442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(78) - (sqrt(78) - (sqrt(78)*1 + sqrt(78)) - sqrt(78))) + sqrt(78) - sqrt(78))\/sqrt(6) - sqrt(13))**2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5619 and 192919?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 12 = j - 4*j, 20 = -5*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -340000 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6789 or 2\/187?\nAnswer: 6789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 98178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuu when three letters picked without replacement from {e: 2, z: 1, u: 3, f: 3, a: 1, n: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -826?\nAnswer: 330.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14895 and 2737035.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 7*q**2 + 10*q + 12. Let y be p(-8). Let w be (y\/5)\/(8 - (-3588)\/(-450)). Which is greater: w or -59\/2?\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5536 - 5535.999997059. What is p rounded to 7 decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let w(u) = 482 - 482 - 7*u**2. Calculate f(w(x)).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2644238146 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - 7) - (9 + -5 + -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 - 2 + 2 + (25777*q - 468*q**2 - 25777*q)*(2*q - 2*q + 2*q) to the form b*q + t*q**3 + r + k*q**2 and give t.\nAnswer: -934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 334, -12, -6, -5, 39\/7 in decreasing order.\nAnswer: 334, 39\/7, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 13*n - 4*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + -0.3. Let d = 0.1 + -0.2. Let c = d + h. Is -1\/4 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7270770 to the power of 1\/2, to the nearest integer?\nAnswer: 2696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2448.1 millimeters to kilometers.\nAnswer: 0.0024481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60\/140 - (-1 + 249\/189). Let b = 1.8 - 15.8. Let j = -17 - b. What is the biggest value in -1\/5, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from tttttltt.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 0 + 0)*(-100 + 17*k - 16*k - 3*k)*(0 - 1 - 1) - 9*k + 9*k + 6*k**2 as s*k + d + h*k**2 and give s.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*k**2 + 440*k - 128.\nAnswer: 4*(k + 16)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 180 - 49. What is the remainder when w is divided by 39?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 3\/7, -1.8683?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 13*p**2 + 11*p + 17. Suppose 0 = b + 4*u - 4, 4*b + 4*u = 6 + 34. Let z be k(b). Solve z*v + 5 = 0, -3*r + 4*v + 13 = 3*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 13 = -3*f. Let d(m) = 2*m**2 - 44*m - 56. Let j be d(24). Calculate the greatest common factor of f and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57617 is divided by 3923.\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*a - 398, 0 = 2*b + 10*a - 6*a - 244. Suppose b = s + 124. Let w = 0 + 2. Solve -5*p = 4*r - 1 + 14, -4*r - s = -w*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5975*y - 5073*y - 1632*y - 5117*y - 7472*y to u + n*y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 3*t**2 + 4*t - 2. Let g be r(2). Let q be 6\/21 - (-25)\/g. Let n = 50 + -55. Which is the third smallest value? (a) q (b) n (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 51*h + 197. Is s(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 1. Let w be n(3). Suppose -w*a + 2*s = s - 5, 2*s = -3*a - 10. Let c be (-3)\/3*0 + a. Solve c = -4*q + 3*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420152?\nAnswer: 2, 29, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5) + 1 + (sqrt(55)\/(4*sqrt(11) + sqrt(11)) - sqrt(5)).\nAnswer: sqrt(5)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -3, 1, -1, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43603 + -43547. Solve -r = -8*r + m for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 14*x - 7*x - 6*x + (1 + 1 + 0)*(x + x + 0*x) + 8*x - 2*x - x to v + q*x and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110112 (base 3) in base 12?\nAnswer: -5312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -40 (c) 119 (d) 13 (e) -2\/9 (f) 0.3 (g) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raprj. Give prob of sequence rr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-4))\/a*a\/(a**(-1\/11)*a))**(-4\/25)\/(a**(-1\/5)*a\/((a**5*a)\/a))**(3\/10) assuming a is positive.\nAnswer: a**(333\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/(-12) + 6\/(-36). Let y(m) = 3*m + 7. Let c(u) = 2*u + 5. Let h(w) = 8*c(w) - 5*y(w). Let a be h(x). Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(8\/(-48))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from mhuumuuh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125885 is divided by 1828.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5, d + 4*w + 0*w = -2989. Let t(n) = 2029*n - 5. Let z be t(6). Let s = z + d. What is s rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*f = -1171*f - 764*f - 124352 for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 6069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -38.503, -0.5, 3.67?\nAnswer: -38.503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-3) - (-4)\/6. Let l(p) = -6*p + 1 + 7*p**y + p**3 + p**3 + 3 - 3*p**3. Give l(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 7*f**4 - f**3 - 3*f**2 + 23 - 3*f**2 + f**2 + 9*f**2 to the form s + r*f**4 + t*f**3 + a*f + q*f**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5547848030 to the nearest integer?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1603, 1628, 1683, 1780, 1931, 2148?\nAnswer: 2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(63)\/(-3*sqrt(9)*-2))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.41, -5, -11\/6, 0.2?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/274163 + 274159\/548326. Determine v so that 0 - m*v**4 + 3\/2*v**2 + v + 0*v**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 647, 1295, 1943?\nAnswer: 2591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*m**4 + 2*m - 52*m**2 + 19*m**4 + 29*m**2 as f*m + b*m**2 + c*m**3 + l*m**4 + s and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 1 - l**2 + 7*l - 8. Let b(d) = d**2 - 3*d + 4. Suppose -4*i + 0 = -20. Suppose -15 = i*n, -n + 5*n + 30 = -3*p. Give p*q(s) - 14*b(s).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-251))\/((-2)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84896951 - 2651.\nAnswer: -84899602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n + 6*n - 5 + 2 - n. Let s be w(7). Sort 3, s, -4, -1.\nAnswer: -4, -1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 15028734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3*m*n**3 - j**3*n**3 + 790*j**3*n - 2*j**2*n**2 + 6*m*n**3 + 163*n**3 wrt j?\nAnswer: -12*m*n**3 - 6*n**3 + 4740*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186381867 to the nearest integer?\nAnswer: 13652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = p - 4*q, -p - 2*q + 54 = 3*p. Suppose -3*g = 2*g - 10. Let z = g + p. Solve -5*d + z + 0 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 6*j**2 + 3*j - 7. Let f be v(4). Let x = 78 + f. Calculate the remainder when x is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.21, -5\/2, -0.1?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74834?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -253\/859 - -1871\/3436. Solve -3\/2 - p*l**3 - 1\/4*l + l**2 = 0 for l.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05 from -79250.71332.\nAnswer: -79250.76332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*t - 2052 = 20*t. Calculate the highest common factor of 76 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14505 is divided by 7246?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*((-3)\/9 + 1). Let m be (34\/10)\/(k\/30) + -3. Suppose -5*i + 4 = -6. What is the highest common factor of m and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 4, 29, 3, -5390 in decreasing order.\nAnswer: 29, 4, 3, -2, -4, -5390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(5445) + 1)*5.\nAnswer: -330*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 4*b. Give d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**2 + 3*s + 2. Suppose -82*h + 13*h = 22*h - 91. Let p(l) = -l**3 + l. Give h*n(m) - 2*p(m).\nAnswer: 2*m**3 - 4*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/957 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 100687131989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -18*j + 279. Calculate the smallest common multiple of x(-7) and 180.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01084 times 5\nAnswer: -0.0542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(12) - sqrt(60)\/sqrt(5)*-5))**2 - (-1*sqrt(300) + 3 - sqrt(300)).\nAnswer: -35\/12 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to -55.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633899 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k**3 + 36*k**2 + 2*k - 10. Let d be u(-5). Solve 3*p - d*t + 3*t = -25, -3*p - 40 = -5*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/114)\/((-5)\/(-110))*6\/(-14).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ef - 5e?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0*2\/(-10)*(-30)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/6 + (-2)\/3. Let p(w) = 2*w. Let h(x) be the third derivative of 0*x + 1\/12*x**4 + 0 - x**2 + 0*x**3. Give v*p(i) - 2*h(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1111186, 1111183, 1111180, 1111177?\n\"Answer: -3*t + 1111189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/8 - 27\/(-30))\/((-4)\/40)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 430*h + 2142. Determine b(5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/259 - 18112\/777. Let y = 23 + l. What is the nearest to y in 3\/5, -0.4, 4\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 23. Let q be w(-10). Let c(f) = -5*f - 3*f**2 + 11 - q + 3*f. Let n(b) = 9*b**2 + 7*b + 7. Calculate 7*c(z) + 2*n(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 880*s + 383*s - 1265*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -76773 - -76775. Let q = 0.03 + 0. Sort q, -4, d in descending order.\nAnswer: d, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*c - 4*c + 50 = -2*c - h - 3*h, 3*h - 24 = -66 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 329, -2, 2, 1, -38 in increasing order.\nAnswer: -38, -2, 1, 2, 37, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11 + 21)\/((-1)\/(-3)))\/(-2). What is the tens digit of (-3 - 2)*(-4 + 3117\/b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -16 - (3 + (1 - -3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1) - (-13 - -15). Let l be (5 - 4\/(-1))*(r + 2). Calculate the greatest common factor of l and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5*h = -428, 11*r + 3*r + 2774*h = 2773*h + 140 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90894 - -11153. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -248 + 433. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 8:02 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3792.2 millilitres?\nAnswer: 3.7922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 465 = 35*z - 20*z. Suppose -z*x + 336 = -17*x. What is the remainder when 165 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6 = 5*w, 0 = 3*t - 20 + 8. Suppose m - 2*u = 2*u + 10, 2*m - w*u - 14 = 0. List the prime factors of (-4)\/m - (-152)\/12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36426695.33 - 0.6.\nAnswer: 36426694.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2. Let u(i) = -5. Let s(f) = 8*g(f) - 3*u(f). Let c(a) = 5*a**2 - 4. Determine 3*c(z) - 12*s(z).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 384655784?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -805*i**2 + 50*i + 24. Let f(x) = 161*x**2 - 10*x - 5. Determine -14*f(a) - 3*n(a).\nAnswer: 161*a**2 - 10*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1648.63ng?\nAnswer: 0.00000000164863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -13*o**2 - 6*o. Let c(u) = 49*u + 42*u - 92*u + 0*u**2 - 2*u**2. Let a(f) = 6*c(f) - n(f). Let l(r) = 3*r**2 + 2. Calculate l(a(z)).\nAnswer: 3*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200 + 333. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**4*u + 4*m**4 - 3709*m**3 + 2*m**2 + m*u + 6*u + 87 wrt m.\nAnswer: -24*m*u + 96*m - 22254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/5 + 113264*p = 0.\nAnswer: 0, 283160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-11 - -142)\/((10\/(-12))\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-16 + (7 - 5)) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 13*h**4\/12 - h - 16. Let r(y) = -2*y. Calculate r(t(z)).\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 467488 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1548, -3122, -4696, -6270, -7844?\n\"Answer: -1574*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 98*n - 6956. Give u(71).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(192)*-1 + sqrt(192) + (-2 + -2*sqrt(192) - sqrt(192)) + 4 + -3))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -8*p**3 - 2. Let o be b(-2). Let q be o\/22 - (-4)\/22. Suppose h - 4 = -q. Which is greater: -1\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwqwqqhhkwkhk. What is prob of picking 3 w?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10472 and 4158?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 84, 53, 24?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6657)\/(-8876)*(-1380)\/(-9).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-230)\/(-8))*-2*(-9 - 147)\/(-936).\nAnswer: -4\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6\/q**(-1))\/((q\/q**(-5)*q)\/q**(1\/6)))\/(q**(-6)\/(q*q\/(q*(((((q\/(q*(q\/(q**8*q)*q*q*q*q)\/q*q))\/q*q)\/q)\/q*q)\/q)\/q)*q))**(4\/7) assuming q is positive.\nAnswer: q**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, q: 2, c: 1, i: 4}. What is prob of sequence lii?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-13)\/(-5) + -3). Let q(x) = -s*x + 3 + 4*x - 3. Let t(o) be the third derivative of o**5\/6 + 23*o**2. Calculate t(q(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 24.90071 litres?\nAnswer: 24900.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.3 + 0.3. What is the second biggest value in 0, g, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9\/10 of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -389. Let i = 55 - u. Let d = i + 239.999887. Round d to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -126, -102, -62, 0, 90?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**21*n*n**(-18))\/(n\/(((n*(n**6\/n)\/n)\/n*n*n)\/n))**25 assuming n is positive.\nAnswer: n**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**3 - 4*k - 5. Let m(i) = -21*i**3 + 16*i + 20. Determine -2*m(l) - 9*q(l).\nAnswer: -3*l**3 + 4*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80362.116us to hours.\nAnswer: 0.00002232281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.043 - -31.057. Let a = s - 31. Let i = 157\/12 - 40\/3. Sort i, a, -3\/7 in descending order.\nAnswer: a, i, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/98 and (129\/20)\/((-4263)\/(-58)).\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 22*o**2 - 4*o + o.\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 6415*s**2 - s - 4865*s**2.\nAnswer: 1550*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122202201022 (base 3) to base 11.\nAnswer: -219820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2151 (b) -6297 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 77, -42, -135, -160, -75, 162, 593?\nAnswer: 1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z**2 - 346*z - 304. What is r(-60)?\nAnswer: -1144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147 + 110. Let y = -76 + p. Let f = -109 - y. Which is smaller: f or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -162*s**3 - 179 + 111*s - 224*s + 113*s with respect to s.\nAnswer: -486*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 27570*i + 82719.\nAnswer: -(i - 27573)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*p + 3*p**5 - 3*p - 6*p**5 - 6*p**5 wrt p?\nAnswer: -180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (863\/15)\/(12\/(-410)). Let r = o - -1965. What is the common denominator of r and (1 - -221)*(-2 + (-445)\/(-220))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a8 - 99402?\nAnswer: -995aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/12427)\/((-4590)\/(-13158))?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + 4)\/(1*2). Suppose p = 2*v + 2*p + 9, -5*v + 2*p = 9. Let t = f - v. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 12*h = -68, 3*d - 8 = 9*h - 5*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 1. Let o(j) = 6*j**2 + 3. Let q(w) = -o(w) + 3*t(w). Suppose 12 = 3*r + 2*c - c, -5*r = -4*c - 3. Let u(a) = r + 2*a - 3. Calculate u(q(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1\/4)*(-384)\/576\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5326050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*6*-2. Let s = -89\/5 + u. What is the third biggest value in 0, s, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 50 = 8*z, 4*y = -12872*z + 12870*z + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51789927?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j - 31. Let u be b(7). Let c be u*(-6)\/99 + (-126)\/(-33). Solve -2*m - 8 = 0, 3*n = m - c*m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34, 93, 166, 259, 378, 529?\n\"Answer: x**3 + x**2 + 49*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-30) + (-1 - 492\/(-165)). Is 2 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (2*sqrt(187) - sqrt(187))*2)*1)\/((sqrt(231)\/(sqrt(14)\/sqrt(2)) + sqrt(33))\/sqrt(3)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 3:13 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l + 73. Let d(z) = 27*z - 363. Give -4*d(y) - 21*m(y).\nAnswer: -3*y - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 80 = -46. Suppose 16*t - 9*t - h = 0. Let s be 33*-1*1\/(-1). Calculate the highest common factor of t and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 52. Find the common denominator of ((-2)\/i)\/((-1)\/17) and 4\/(-14) + (-1318)\/140.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16867 is divided by 8430?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5581437069.\nAnswer: 3, 13, 317, 661, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35 (b) -2\/193 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 4*b + 31. What is the hundreds digit of (2948\/16)\/1 + 6\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 55, 83, 109, 133, 155, 175?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*v - 25, 9*r - v = 5*r + 25. What is the smallest common multiple of 1*(5 - (-4 - -2)) and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231958*o**2 - 68274*o**2 - o + 259297*o**2.\nAnswer: 422981*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 9:50 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*d**5 + 321*d**4 - 4*d**3 + 2006*d + 1.\nAnswer: -220*d**3 + 3852*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5*-1*sqrt(891) - sqrt(891)))*2.\nAnswer: -108*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/6853?\nAnswer: -2\/6853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 0*x**5 - 223*x**2 + 0 + 0*x**6 + 223\/6*x**3 + 0*x + 0*x**4 + 37\/210*x**7. What is the derivative of i(o) wrt o?\nAnswer: 148*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 + 1 + 2 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + (-5)\/2)\/((-7)\/(-112)). Let q = 584\/1485 - -2\/297. Sort 2, n, q in decreasing order.\nAnswer: n, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-28)*8\/28*6468\/(-1584)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 0.4, 0.3, -38?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 12.94. Let m = -0.060001 - q. What is m rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 12. Find the third derivative of -3*i**6 - 4*i**6 + 6*i**v - 2*i**2 wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1))**(-31)\/(q\/((q*q**(-2\/3)*q)\/q))**(5\/17) assuming q is positive.\nAnswer: q**(-10\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, 0.8, -160.\nAnswer: -160, -2, 0.2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 497655 (b) -3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010 (base 2) to base 6.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 23*s**2 - 25*s + 48. Let z be f(22). Let c be ((117\/z)\/(-13))\/((-2)\/(-8)). Solve -1 = -3*y + c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38850420 or -38850435?\nAnswer: -38850420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1434134 + -492\nAnswer: -1434626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 12*h**2 - 2*h - 9. Let i be r(-6). Let v = 196 + 213. Let m = v + i. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -5, 26?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582.5751 milligrams to micrograms.\nAnswer: 582575.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/687 < -855\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3194, -3266, -3338?\n\"Answer: -72*n - 3122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.169823 times 47\nAnswer: -7.981681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9783633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -5. Let f(m) = -m**2 - 11*m - 8. Let n be f(t). Solve 86*i**4 - 42*i**5 - n*i**2 - 98\/3*i**3 + 8\/3 + 8*i = 0 for i.\nAnswer: -1\/3, -2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(85) - (-1*sqrt(85) - sqrt(85))*5) + sqrt(85)))\/(1*(sqrt(75)\/sqrt(5))\/sqrt(3)).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.38 + 0.28. Which is the smallest value? (a) o (b) -2\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o = 90. Let d = o - 12. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - (-20)\/(-66)*714\/(-85)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 488*h - 14656. What is y(30)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-18))\/(2\/4). What is the units digit of (c - (-2 + 0)) + 62?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -437\/4 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 17. Let l be m(17). Suppose l*n - 13*n = 112. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*n = -77*n - 75. Let i = 12 + n. Sort i, 2, -5.\nAnswer: -5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73769312.\nAnswer: 2, 2305291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 - 51. Solve m - 9 = z, -m - 5*z + 6 - t = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -7. Let v = a - 1. Let i(j) = j - 4. Let b be i(6). What is the nearest to b in 0.5, 2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 2 (b) -1\/3 (c) 4 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 5. Let s be 72\/(-60)*j\/(-6). Suppose g + s*o = 2*o + 62, -2*g = -5*o - 106. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11 - -7)\/16 - (-77)\/4. Find the third derivative of 2*h**2 - h**4 - 7*h**2 + g*h - h**2 + 7*h**2 wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1140732 is divided by 110.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 14*f. Suppose f = -2*i + 1 + 1. Suppose -k + 0*k + 1 = 0. What is the closest to i in k, -1\/9, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8822?\nAnswer: 2, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7913, 3, 6556?\nAnswer: -0.7913","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -6 + (-3366)\/418?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -8*j**3\/3 - 38*j**2 - 181*j + 149. Differentiate p(z) wrt z.\nAnswer: -16*z - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.094 (b) 2 (c) -5 (d) -11 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2333\/7 or 334?\nAnswer: 2333\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3)**(-25))**46*(((x**(-7)*x*x)\/x)\/((((x**(-2)\/x)\/x)\/x)\/x*x))\/(x**(2\/9)*x**(-6)) assuming x is positive.\nAnswer: x**(-31007\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/5)\/r*r**(10\/11) assuming r is positive.\nAnswer: r**(-27\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84 - -78) + (4 - (0 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 218325, 436650, 654975, 873300?\n\"Answer: 218325*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 27 + 19 = 0, 2*l + 2*l - 2*w + 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23*(-572)\/4048)\/((-2)\/16).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*r - 11. Suppose -7*o + r*o + 605 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1571*l - 3078*l + 1688*l)*(-2 - 7*l + 6*l - 19*l).\nAnswer: -3620*l**2 - 362*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 640 - 637. Let t(a) be the first derivative of 5 + 0*a**4 - 3*a + 0*a**2 + 0*a**k - 2\/5*a**5. What is the derivative of t(m) wrt m?\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 594.463777 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -427249391+0.2\nAnswer: -427249390.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -1 - 8) + 1. Let j(k) = -k**3 - 9*k**2 - 4*k - 22. Let n be j(-9). Suppose m + 3*f + 14 = 0, -2*m - 2*f - 2 - n = 0. Is m less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -57, -5, 5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - 2*s - 2*s)*(5 - 4 + 1)*(-4 + 9 + 1) to k*s + x and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1960.8 + 1961. Let k = 1.2 + -0.7. Let o = 7 + -14. Which is the third biggest value? (a) o (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -5. Suppose k - 117 = f. Calculate the remainder when 15 is divided by 18\/f + (-68)\/(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 303030975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - -0.2. Let t = 130760.3 + -130760. What is the third biggest value in y, 4, 5\/11, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 28 = 4*d, 197*d = -3*n + 193*d - 22 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(3\/(-8))*1254\/76. Let m = t + 12. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 5*i**2)*(3*i + i - 2*i)*(1 - 1 - 2) - 2*i**3 - i + i.\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*0.4.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**13)\/c*c*c)\/(c*c**(3\/2))*(c**(3\/7))**(-1\/38))**(-3\/2) assuming c is positive.\nAnswer: c**(-4983\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and (-17594)\/(-38) - 1\/(4\/(-20)).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 794 - a9a?\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygyyccgccygggg. What is prob of sequence ycc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171927555 divided by -57309185.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*l - 83*l = -169*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + (-1)\/(-2)*(-10658)\/(-511))\/(2\/(-21)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 105 + 9. Let a = 5815\/4 - 1445. What is the common denominator of a and (-1)\/(8\/h) - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/1068*(-2 - (-100)\/55)\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 29 + 41 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 - 1.8. Let r = 3.5 - 4.5. Which is the nearest to r? (a) w (b) 2\/9 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0707854535 to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from gzxdg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 22*s - 14. Let w be x(23). Suppose 53 = w*p + 107. Let g = 4.9 + -0.9. Which is the nearest to -2? (a) 0.3 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012 - -12?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 + -87. Let s = 2.2504 - 1.2504. Let f = 0.06 + -5.06. What is the second smallest value in f, -0.5, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27950 + -2347769\/84. Let p = 1\/28 - x. Sort 4, p, -2\/9 in descending order.\nAnswer: 4, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1352, 4191, 8514, 14321?\n\"Answer: 742*y**2 + 613*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 396667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 + g**2 + 0*g + 0*g + 2*g**2 + (3 + 2 - 6)*(-g**2 + g**2 - 2*g**2) + (2*g + 3*g + 0*g)*(0*g + g - 3*g) as j*g + b*g**2 + h and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 246646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 32*b - 27*b. Solve 3*z - 3*j = 0, -2 = 2*j + b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.5 (c) -0.2 (d) -2936\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1121?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 4) in base 14?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-66)\/14 + 2 - -3. Is y at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(1584))**2.\nAnswer: -48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((4 - 0) + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqqqhqqvqqmqqhqhh. Give prob of picking 1 m and 1 h.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750782 is divided by 83193.\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 5:44 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - y + 0*y - y - 2*y + 2*y + (2 - 4 + 0)*(2 + y - 2) - y - 1 + 1)*(14*y + 10*y - 11*y) in the form c*y**2 + b + p*y and give c.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 - 10*u**2 - 15*u + 16. Let a(p) = -16*p**3 - 50*p**2 - 75*p + 79. Let n(j) = -2*a(j) + 11*c(j). Does 2 divide n(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*s + 22 = -0*s, 0 = -3*o + 2*s + 14. Let h be 1\/((-15)\/(-6))*10. Suppose 3*y + h*y - 70 = 0. What is the remainder when y is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39074 - 462763920.\nAnswer: -462802994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 153, 189, 243, 315, 405, 513, 639?\n\"Answer: 9*s**2 + 9*s + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -318222, -636442, -954662, -1272882, -1591102, -1909322?\n\"Answer: -318220*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {v: 8, u: 3, h: 6}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 h, and 1 m when three letters picked without replacement from {g: 1, m: 4, a: 2, k: 3, h: 6}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 279.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3\/4 - 91467*y**2 - 8366212089*y = 0.\nAnswer: -182934, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {w: 3, v: 1, s: 3, d: 2, p: 1, b: 1}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*(c*c**(1\/5)\/c)\/c)**(-3\/10)\/(c**8\/(c\/(c\/c**1))*(c**(-1\/2)\/c)**(6\/7)) assuming c is positive.\nAnswer: c**(-1063\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 455 - 375. Calculate the highest common divisor of 30 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 7:57 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -652*j + 666*j - 3938 - 206 = 0. What is the highest common factor of j and 740?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 158 = -148 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38857654 is divided by 2590507?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 798.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 2\/162281?\nAnswer: 2\/162281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 2*g + 3. Let f be l(-6). Is f smaller than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, h: 3}. Give prob of sequence nhn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 49*j**2 + 10*j + 10. Let t be q(-7). Let b = 23457\/10 - t. Find the common denominator of b and -29\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jaaajjajaajj. Give prob of picking 3 j.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -15289, -5969, 9571, 31337, 59335?\n\"Answer: m**3 + 3104*m**2 + m - 18395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + 110330233?\nAnswer: 110330202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/4 of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (5 + -16 + -3 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -87, -136, -187, -234, -271?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v = -0*v. Which is bigger: -2\/13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 2, -10179, -1, 5 in descending order.\nAnswer: 5, 2, -1, -4, -5, -10179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 135 - 135)*(-6*l**2 + 2*l**2 + 2*l**2) + 10*l**4 - 3*l**4 + 3*l**4 + (2*l**3 + l**3 - 2*l**3)*(4*l - 3*l + l).\nAnswer: 22*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -2*n**7\/7 + 4*n**3\/3 - 9. Find the third derivative of o(d) wrt d.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 u when three letters picked without replacement from offuii?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 28*p + 35. Let x be b(-11). Let w(a) = -3*a**3 + 2*a**2 - 5*a + 2. Let q be w(3). Let o = x - q. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, i: 2, k: 1, j: 4}. What is prob of sequence ikij?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 5:56 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 212*n**2 + 4*n + 678. Calculate x(-106).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2 + p + 1. Let b be j(-1). Let d(q) = 4*q**2 - 2*q + 3. Let v be 5\/(-1)*6\/30. Let l(r) = r**2 + r - 1. Let t(k) = v*d(k) + 3*l(k). What is t(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288\/192*(-74)\/(-3)*(-47)\/235.\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - 17. Let w be (-4)\/u + (-11)\/((-858)\/300). Solve w = -6*o + 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -130583 and -18.\nAnswer: 2350494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -15. Let z be (-9)\/j + 6\/8. Suppose -4*t + 244 = z*p, 2*p = 4*t - 2*p - 216. Round t to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w - 2. Let a be 0 - (18\/42 + (-36)\/(-14)). Let m(z) = -4*z + 1. What is a*q(t) - 5*m(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 + 12*d - 2. Calculate f(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -50*i - 2. Let h be r(-1). Is 30448\/h + (-4)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5134 - 5387. What is the fourth smallest value in 3, 2, -1\/4, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 12*l + y = -1128586, 0 = 5*l - 5*y - 1880980. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 68\/3 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/3)\/u)**(1\/10)\/((u*u\/(u*u\/(u**(1\/4)\/u)*u))\/u)**44)\/((u*u**(-1\/6)*u\/(u\/u**(-1\/7)*u))\/(u**(1\/4)\/(u**(-3\/4)*u*u))) assuming u is positive.\nAnswer: u**(12629\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4160448 by -1116.\nAnswer: -3728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10845 = -4*q - 45*g + 8509, -q - 155 = 3*g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = 4*w, -2*w = w - 5*s - 12. Let a be (3 + 1)*22\/(-44). Put -5, w, a in descending order.\nAnswer: w, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**2 - 26228*k + 26224 = 0. Calculate k.\nAnswer: 1, 6556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 56.5?\nAnswer: 4.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 878*u + 875*u + 900*u + 873*u - u**3 - 5266*u + 866*u + 874*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 50. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 3*x + 5. Give l(17).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -9. Suppose 3*o = 4*u + t, 0 = u - 5*u. Find the third derivative of -3*v**2 + o*v**2 + v**2 - 3*v**3 + 6*v**3 wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.2131\nAnswer: 0.2131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 21.9. Let h = -69.768 + 0.268. Let r = h - -69. Put u, r, -0.1, -1 in descending order.\nAnswer: u, -0.1, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/72 - (-3)\/24\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-20)\/c**(-17))**(-27) assuming c is positive.\nAnswer: c**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 45*o**3 + 5 - 3*o + 44*o**3 - 5*o - o**4 to l*o**3 + w*o**4 + v + s*o**2 + c*o and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25.44 + -3.46. What is m rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 112 - -21483?\nAnswer: 21605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2 (c) -166\/322759\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19212 = -445*v - 5862 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 565088580 and 11376?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 492 and 410?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148.1612773 + -657786302.1612773. Let h = p - -657786068.99999998. Let x = 85 + h. What is x rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 27532, 27935, 28338, 28741, 29144?\n\"Answer: 403*z + 27129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 0)\/(-3) - (-26 + -3). Solve -3*c - 2*y - w = 2*c, 0 = 3*c - 2*y + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7588360037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 4) in base 14?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421*t - 411*t = 31590. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 105*b + 5. Let k be i(0). Put k, 4\/31, -1\/3, 3 in descending order.\nAnswer: k, 3, 4\/31, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 543, 3381, 10861, 25293, 48987, 84253, 133401?\nAnswer: 198741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*o + 42*o + 200*o)*(2*o + 1 - 1)*(-3*o + 3*o + o) to the form u*o**2 + a*o + c + y*o**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s - 132. Let r be (-1 - (-6)\/8) + s\/(-8). Suppose 0 = 9*y - r*y - 191. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*u - 1221 = -5724 - 3327. Factor 10*h + u - 5\/2*h**3 - 15\/2*h**2.\nAnswer: -5*(h - 2)*(h + 2)*(h + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -4*z + 45, 6*m - 550*z = -545*z + 325 - 430 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 826 = 2*v + w - 4*w, 1201 = 3*v + 5*w. What is the greatest common divisor of 88 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 93624057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.1 - 1.1. Let i = 3.5 - v. Let y = -1 - i. Which is the smallest value? (a) -2\/3 (b) -13 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 8) in base 14?\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8917, 8886, 8835, 8764, 8673, 8562, 8431?\n\"Answer: -10*b**2 - b + 8928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/10 - 1\/(-5). Suppose -2*a = -o*a + 44. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -13*t**8\/7 + 11*t**6\/15 + t**5\/20 - 49*t**4\/3 + 11*t**3\/6 + 5*t + 1313. What is the third derivative of v(o) wrt o?\nAnswer: -12480*o**3 + 528*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 * -0.04553\nAnswer: -0.86507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(931) + sqrt(19) + sqrt(304)*-1 + ((sqrt(19)*1 + -5)**2 - (1*(-1 + sqrt(19)))**2).\nAnswer: -18*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -318527 (base 10) to base 16\nAnswer: -4dc3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**2 - k. Let b(w) = -16 + 8 - 2*w - 17. Let m be b(-11). Is 8 a factor of o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 12 = -4*j, -4*b = 3*j + 4 - 23. Suppose -y - 89 + 295 = -b*a, 5*a = 15. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 9) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 93385?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.296 to 1 dp.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 8*a**2 - 7*a + 24. Let h be y(-9). What is the greatest common divisor of 10 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 7 - 25 = 6*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 469448192 a multiple of 976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6471416 (base 10) in base 6?\nAnswer: -350412132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*o - 47457 + 47605 = 0. Let y = -5 - -9. Suppose 3*j - j - y*v = -16, 5*j + 7 = -v. Sort -8, o, j in descending order.\nAnswer: o, j, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254794*c**3 - 275000*c**3 + 117541*c**3 - 67855*c**3.\nAnswer: -480108*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*f - 20, -2*z - f + 4*f + 12 = 0. Let v = 2 - z. Suppose w - 4*a - 110 = -a, 170 = v*w + 4*a. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.911188 months?\nAnswer: 0.00242599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 781597\nAnswer: 8\/781597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + t**2 + t + 4. Let p be u(0). Suppose 4*s - 32 = 3*s + 2*a, -p*s + 125 = -5*a. Does 7 divide 10\/5 - s\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-268)\/48)\/(4\/(-2634)). Let w = 3696 - b. Let g = w + -39\/2. What is the closest to 0 in 1\/2, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -335230000 to the nearest one million.\nAnswer: -335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/2 - (3 + -4). Let l = -2 - -2. Let b be l - (-21)\/1 - 1. Calculate the highest common divisor of y and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41950?\nAnswer: 2, 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6867 by -7.\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 16*m**2 + 23*m - 23. Let h be c(-11). Suppose 11*i - 12*i = -h. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 20.2. Suppose -5*n = -t - 10, -4*t = -4*n - n + 25. Let g = 0.33 + 0.07. What is the closest to 10 in g, t, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c + 1. Let w = 0.06428 + 0.33572. What is the closest to -6\/11 in 0, c, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 908*h**4 - 6*h + 8.\nAnswer: 10896*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 293 * -107.5324\nAnswer: -31506.9932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 7*f**2 - 3*f. Let k be h(-7). Let y = 1 + 2. Suppose -2*i = -5*a - 1, -i - 2 = -a - 4*a. Solve -y*r - 7 = i*q + 8, r + k = -5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1.9. Let u = 92 - 83. Is u smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5918426 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*3*(-2)\/(-6)*0. Let r(x) = -3 - 3 + 3*x + l - 3. Let j be r(4). Solve -i = -j*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 1:59 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/12 - 4\/6. Suppose 0 = -s + 5*r + 21, -5*s + 3*s + 4*r + 24 = t. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**7*n)\/((n\/n**(1\/2))\/n))\/(n*n*n*n**(-5)\/n*n*n\/(n**(2\/11)\/n)*n)*(n**(-2)*n**4)\/(n**(-2\/7))**(-2\/25) assuming n is positive.\nAnswer: n**(41037\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 12*t - 22. Let o = -6 - 3. Calculate the remainder when 14 is divided by m(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 1 - 5. Let h(g) = 3*g**2 + 2*g - 1. Let w be h(1). Sort w, 5, c.\nAnswer: c, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4440 (base 6) to base 10\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54082 - 24576. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 29*c**2 - 8 + 9 - 2*c - 5*c**2. Let p be j(1). Round p to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/(-156)*(-180)\/16 - 9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, -557, -1449, -2635, -4079, -5745?\n\"Answer: 6*u**3 - 201*u**2 - u + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.27 * -0.31\nAnswer: -0.0837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -x - 11, -2*x - 5 = 4*n - 1. Let k be 2 + 0\/(x\/(-2 - -6)). Let i(b) = -9 - 13*b**3 + 0*b**k + 9*b + 10*b**3 - 7*b**2 + 4*b**3. Determine i(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 21. What is the remainder when i(12) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -40. Suppose t = 2*z + 2*z - 2*b - 36, -2*z + 14 = -2*b. Suppose 0 = -z*v + 13*v - 254. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -h + 38, 3*h + 68 = -3*c - h. Let u be 4\/(-6) + c\/(-3). Suppose -a = 1 - u. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15*z**2 - 203*z - 24. Give j(13).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/5 - 1560*l**2 - 31239*l\/5 - 23436\/5 = 0. What is l?\nAnswer: -3, -1, 2604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-12)\/(-3)) - 603\/(-6). Let n be 12*(-5)\/t*-5. Suppose 0*k = -3*k + 6. Solve -4 = -n*d + k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jth when three letters picked without replacement from {h: 2, j: 2, t: 1, q: 1, k: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2403335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 + 50*m**2 + 73*m + 448. Calculate i(-24).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-64)\/(-20))\/(2\/(-10)). Let k be v\/72 - 4\/(-18). Solve r = -k*r, -3*y + r = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**2. Let d(u) be the first derivative of -5*u**2\/2 + 6. What is d(k(n))?\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123904 by 242.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(6936\/32)*(150\/(-15))\/(-60)?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + 24. Suppose -1 = 7*u - g. Suppose 12 = 5*h - 2*h. What is the remainder when u is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3 + 352*q**2 - 228099*q - 83814498 = 0. Calculate q.\nAnswer: -417, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33252652 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -362, -345, -314, -263, -186, -77, 70?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.5 - 0.5. Let t = 4 - 1. Let w be (4 + (-105)\/25)\/((-6)\/25). What is the biggest value in w, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 2*d. Suppose 0 = d*t - 2*t - 12. Let a be -99 + 107 - (2 - -1). Put 0, a, t, -15 in decreasing order.\nAnswer: a, t, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 1\/(-3))*56\/(-40). Are 1\/36 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.29 and -12586 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18 - 1606)*((-6)\/(-18) + 25\/(-3)). Calculate the greatest common divisor of 64 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 420 - -3?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13175*a*i**3 - 166*a*i**2 + 4756*a*i - 4*a - 2*i**3 - 3*i**2 - 182*i + 1 wrt i.\nAnswer: -79050*a*i - 332*a - 12*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 78*z - 89. Let x(b) = -15*b + 15. Let t(p) = 2*g(p) + 11*x(p). What is t(4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - ((1 - (1 - 4)) + -18)) + -138 + 10.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 21018224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -195502*d*j + 166732*d wrt j.\nAnswer: -195502*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from tytxtypgtt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -46. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58166.3mg to tonnes.\nAnswer: 0.0000581663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*m - 78*m + 61*m.\nAnswer: -116*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 10817 + 5673 = -5390 for r.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(105)\/sqrt(3)*-3)\/sqrt(5) + 3 - (3*(sqrt(84)*2 + sqrt(84) - sqrt(84)))\/sqrt(12)*-4)*2.\nAnswer: 6 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 + 177 + 320 + (-1 + 1 + 2)*(3 - 2 + 1))*(g**4 + 2*g**4 - g**4) to w*g**3 + a*g + c*g**4 + j*g**2 + i and give c.\nAnswer: 1084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -16965560 not equal to -16965551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -28. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 26*n**2 - 50*n + 50. Let m be v(24). Solve 0 = 5*t - 3*t - m*z - 18, t + 7 = -3*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4750 + 6236. Which is smaller: -0.2 or b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.33 + 1.33. What is the nearest to h in 0.1, -2, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -0.16384955?\nAnswer: -0.66384955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**6\/120 + 7*g**5\/60 - g**4\/6 + g**3\/2 + 8*g**2. Let p = 248 + -502. Let d = p - -260. Calculate a(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 1 + 1 - 2*a + 0*a + 4*a + 13*a + 2*a - 2*a + (-2 + 1 + 3)*(4*a - 2*a - a).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j + 7. Let g(q) = q - 1. Let w(c) = -6*g(c) - t(c). Let x be w(-1). Solve 0 = 2*r + x - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47936533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2 - f**2 + 3 + f**3 - 3*f + f - 2. Suppose -25*w + 18*w + 14 = 0. Suppose -w*t - 38 = -36. Calculate b(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k - 3 + 11*k - 5*k. Give g(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68 - 68 + 10*a)*(1 + 0 + 0) - 4 + 4 - 5*a to u*a + q and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 4*n + 1. Let w be a(3). Suppose -w*x + x + 33 = 0. What is the third derivative of 2*j**2 + j**4 - 11*j**3 + x*j**3 wrt j?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**1)\/(l**(-1)*l))**(2\/19)\/(l**(-3\/5)\/((l*l\/(l\/l**(-3\/4)))\/l*l)*l**(-4)*l**(-5)\/l) assuming l is positive.\nAnswer: l**(4163\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -432 + 299. Let g = d - -268. What is the lowest common multiple of 12 and g?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 - 142 = -5*o. Suppose o = -2*n + 4*n. Let r = 49 - n. What is the remainder when r is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 23 = -1. Let x(v) be the second derivative of v**2 + 0 + 0*v**3 - 1\/12*v**s - 2*v. Differentiate x(z) wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*g + 546 + 426 = -102 - 193 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*h + 27*h + 1074667*h**3 - 1074665*h**3.\nAnswer: 2*h**3 + 65*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3450 - 54?\nAnswer: 33a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 3. Let s be w(12). Suppose 4*g - 27 = s. Solve -2*p = 5*o + 3*p - 20, -3*o - 2*p = -g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= 23.407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (554 + -558)*((-2)\/(-2) - 5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -11. Let v(c) = -c**3 + 4*c**2 + c - 1. Let m be v(4). Sort m, z, -2.\nAnswer: -2, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 151 (c) -15\/2 (d) -3 (e) -1\/621\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.193 millennia in centuries?\nAnswer: 2601.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -3*c**8\/112 + 7*c**4\/24 + 10*c**2. Find the second derivative of t(p) wrt p.\nAnswer: -180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 + 182*i - 55. Let b(m) = 6*m**2 + 184*m - 64. What is 6*b(d) - 7*j(d)?\nAnswer: d**2 - 170*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 3:15 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 24*u + 83. Give b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k\/(k\/(k\/((k*k**(-2\/9))\/k)))))))\/k**(-4\/7)*(k\/k**(5\/6)*k)\/((k*k**16)\/k) assuming k is positive.\nAnswer: k**(-1825\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*b + 4*b**2 + 28*b)*(-4*b + 6*b - b)*(2*b**2 + b**2 - b**2).\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -124715487?\nAnswer: 124715491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 2:41 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -2613\/7 and 8565 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/15 - 4122*p**4\/5 + 2463742*p**3\/15 - 7279978*p**2\/15 - 3296*p + 9706648\/15 = 0.\nAnswer: -1, 2, 203, 5977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 17*j - 434. Let b be d(24). What is the second smallest value in 5\/2, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/9)\/(t**1*t))\/(t*t\/(t*t**2)*t)**(-6\/13)*((t**(1\/4)*t)\/t)**(-3\/14)*t**(4\/5)*t*t\/(t\/t**(-2\/13))*t assuming t is positive.\nAnswer: t**(4853\/32760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 9. Suppose o = -3*s + 5*f - 0*f + 56, -5*s - 5*f = -40. Solve j + s = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 26 = -6*i, -4*i - 1119 = -4*k - 1155 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:49 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by -206.\nAnswer: 67\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -638.45 and -0.08.\nAnswer: 51.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138.8 - -138. Let l = 544\/7 + -78. What is the second smallest value in s, -3, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34\/13169 or -1?\nAnswer: 34\/13169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*k + 1 = -3, 3*n + 3*k + 3 = 0. Solve q - 2*q = w - n, 6 = 2*q + 4*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38468*l*t**3*y - 2*l*y**3 - 2*t**3*y**3 + 21*t**3 - 709*t*y - y**3 + y**2 wrt l?\nAnswer: -38468*t**3*y - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1134) - (sqrt(1134) + -2*sqrt(1134) + sqrt(1134) + sqrt(1134) - sqrt(1134))*-4)\/(sqrt(14)\/(sqrt(72) - 2*sqrt(72))).\nAnswer: -54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66032 + -4251?\nAnswer: 61561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**5\/90 - t**4\/54 - 4*t**3\/27 + 4*t**2\/9 + 108*t. Factor x(n).\nAnswer: 2*(n - 2)*(n - 1)*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 7*i + 5. Let t be (-55)\/(-22) - (-1)\/2. Suppose 17 + 0 = 5*h + t*d, 2*h - 9 = d. Give q(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*b + 3*b + 332 = 0, 2*b + 80 = j. What is the greatest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100110000 + -1?\nAnswer: -10011100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4021134.6 to the nearest 100000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707*l - 92545 = -408*l for l.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.45*-1859612.\nAnswer: 836825.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m. Let b(w) = -w + 1. Suppose 5*z = -4*v - 9, v + z + 5 = -3*v. Let g be b(v). Let x(h) = 2*h**2 + g*h**2 - 9*h**2 - 5*h**2. Calculate x(f(s)).\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(190)*-3 + sqrt(190))\/(sqrt(1620)\/sqrt(2)).\nAnswer: -7*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38091 - 10702. What is the greatest common divisor of m and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 2*n**2 - 2*n - n**2 + 2 - n**3 - 3. Let s be ((-1 - -5) + -4)\/1. Suppose s = 5*u + t + 22, 2*t - 8 = 3*u. Calculate l(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -158.7 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217587524 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z + 2. Let f(j) = -3*j - 1. Suppose k - 3*s + s - 5 = 0, -5*s = -k - 4. Suppose -3*g + 4*m = -k, 2*g = -0*g - m + 11. What is g*t(u) + 8*f(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54749\/7 - 7821. Is 17088 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58905 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 2. Let c(b) = -13*b**2 - 2*b + 5. Let w(n) = -c(n) - 3*i(n). Determine w(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqqsfffsfeqspsqs. What is prob of picking 1 p and 1 e?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b2b59 (base 14) to base 6.\nAnswer: -13120043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -122 + 199.1. Let n = 87 - v. Let l = n - 10. What is the nearest to 1\/2 in -2, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8 + 5*s + s - 5*s + 1. Let w be l(-7). Factor -21*i**3 + 1 + 14*i**3 + 6*i**3 - i**w + i.\nAnswer: -(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 507738 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*b + 44, -4*b + s + 18 + 35 = 0. Let u(o) = 9*o - 26. List the prime factors of u(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(3*1\/3). Let z = -7 - q. Suppose -5*b + 16 = -f, -z*f + b + 36 = 6*b. What is the remainder when f is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -919*n + 1835. Give g(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -0.3, 10\/7, -1?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(117)*-1 - sqrt(117)) + (sqrt(117) - (1 + sqrt(117) + -1 - sqrt(117))) + -3)**2*4.\nAnswer: -48*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-eight fifths of a week?\nAnswer: 96768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-152)\/(-6) + 2\/3. Suppose -2*t = -4*t + v. Calculate the remainder when (2240\/25)\/(-7)*(-4 + -1) is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 161 and 161 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*j + 224 - 38 = -136. Let q be (-447)\/(-1820) - (-1)\/(-4). Which is greater: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, -2, 1, -1\/18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/(-6))\/(28\/2310). Suppose o + 3*o = 12, 2*q + 3*o - m = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 1583.1?\nAnswer: 1585.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - -2) + -10 + -14 + (2 - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-140)*(-10)\/8)\/((-6)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-4))\/(3\/(-16)). Let i be (-1 - (b + 4)) + -1. Sort -4, 5, i in descending order.\nAnswer: 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -181*s - 353 - 361 + 716 + (-5*s - 4*s + 19*s)*(-2 - 2 + 2).\nAnswer: -201*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 102?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 + 289*n - 340. Calculate a(145).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.034 + -0.966. Let z = 0.8 - 0.4. What is the closest to x in -5, -2\/13, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z + 2*z - 182. Let m be -23 + z + 1245\/139. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q - 968 = 457 - 437 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 7:21 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19d8a (base 15) to base 9.\nAnswer: 137264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23250 divided by -6\nAnswer: 3875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/11 in 0.19, 3904\/35, -3?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 222315 + 4*h**3 + 0*h**3 - 222128 + 6*h**2 to q + g*h**2 + k*h**3 + s*h and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1140*p - 612. What are the prime factors of v(-8)?\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-30) - (-176)\/30. Solve -2*t = -5*t - w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 - 220352*w + 5511300 = 0.\nAnswer: -55113, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3516364 (base 7) in base 3?\nAnswer: 211102210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84437.76 millennia to centuries.\nAnswer: 844377.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2336, 2326, 2316?\n\"Answer: -10*n + 2346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -193175139 rounded to the nearest ten thousand?\nAnswer: -193180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m = 4*i + 105, 0 = -5*i + 15. Calculate the smallest common multiple of m and 36.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y + 18. Let i be u(-4). Suppose -8 = -i*v - 4. Factor -3\/2*n**3 - 1 - n**v + 7\/2*n.\nAnswer: -(n - 1)*(n + 2)*(3*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -669, -1470, -2575, -3978, -5673, -7654, -9915?\nAnswer: -12450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2094389*q**2 - 333 + 3488*q**4 + 2107 - 2094389*q**2 wrt q?\nAnswer: 13952*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, 0.017, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(57\/38*60\/(-27))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/713106 and -89\/13786716.\nAnswer: 41360148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(sqrt(363) - (sqrt(363) + (sqrt(363)*2*-6)**2 + sqrt(363))) + -5)*2.\nAnswer: -1881762 - 396*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohl when three letters picked without replacement from zloohhichoziz?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 8. Let l be x(-9). Suppose 7*o = 2*o - 25, 3*b = 4*o + l. Suppose 2*y + b - 35 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -91, -177, -263, -349, -435?\n\"Answer: -86*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -5. Let y be (0 + -2)*(a + -4). Let b(r) = -r + 4. Let d be b(4). Solve 0 = 6*f - 4*f - y, d = 5*u + 2*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48457 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16807461, -16807459, -16807457?\n\"Answer: 2*f - 16807463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 297*x**5\/4 - 703*x**4\/4 + 106*x**3 - 6*x**2 - 647*x. Factor n(h).\nAnswer: 3*(h - 1)*(5*h - 2)*(99*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**2 + i + 1. Let r be m(-1). Let t(y) = -2*y**3 + 7*y**2 - 3*y + 5. Let h(n) = n**3 - n**2 - n. Let b(d) = -3*h(d) - t(d). Give b(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/3)*x*x*(((((x\/x**(2\/7))\/x*x)\/x)\/x*x)\/x)\/x assuming x is positive.\nAnswer: x**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}